From 53ba6a1eeb57b7b784cf1aa37a97869a625d755e Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Thu, 23 May 2024 13:23:21 -0700 Subject: [PATCH 01/24] Preliminary implementation for interior boundary mesh cracking --- palace/utils/geodata.cpp | 524 +++++++++++++++++++++++++++++++++------ 1 file changed, 447 insertions(+), 77 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index e69f2e049..2f2fbb59b 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -6,13 +6,14 @@ #include #include #include -#include #include +#include #include #include #include #include #include +#include #include #include "fem/interpolator.hpp" #include "utils/communication.hpp" @@ -24,6 +25,9 @@ #include "utils/prettyprint.hpp" #include "utils/timer.hpp" +// XX TODO WIP DEBUG +#define DEBUG_OUTPUT 1 + namespace palace { @@ -49,10 +53,11 @@ void SplitMeshElements(std::unique_ptr &, bool, bool, bool = true); // cache usage. void ReorderMeshElements(mfem::Mesh &, bool = true); -// Clean the provided serial mesh by removing unnecessary domain and elements, and adding -// boundary elements for material interfaces and exterior boundaries. -std::map> CheckMesh(std::unique_ptr &, const IoData &, - bool, bool); +// Clean the provided serial mesh by removing unnecessary domain and elements, adding +// boundary elements for material interfaces and exterior boundaries, and "cracking" desired +// internal boundary elements to disconnect the elements on either side. +void CheckMesh(std::unique_ptr &, const std::vector &, + const std::vector &, bool, bool, const std::vector &); // Generate element-based mesh partitioning, using either a provided file or METIS. std::unique_ptr GetMeshPartitioning(const mfem::Mesh &, int, @@ -154,8 +159,16 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) // nonconformal mesh was generated by adaptation and thus does not need checking. if (smesh->Conforming()) { - static_cast(CheckMesh(smesh, iodata, iodata.model.clean_unused_elements, - iodata.model.add_bdr_elements)); + std::vector crack_bdr_attr_list; + if (crack_bdr_elem) + { + + // XX TODO SELECT ATTRIBUTES FOR CRACKING... + crack_bdr_attr_list = iodata.boundaries.attributes; + } + CheckMesh(smesh, iodata.domains.attributes, iodata.boundaries.attributes, + iodata.model.clean_unused_elements, iodata.model.add_bdr_elements, + crack_bdr_attr_list); } // Generate the mesh partitioning. @@ -338,10 +351,10 @@ void RefineMesh(const IoData &iodata, std::vector } else { - mfem::Array verts; - mesh.back()->GetElementVertices(i, verts); - pointmat.SetSize(dim, verts.Size()); - for (int j = 0; j < verts.Size(); j++) + const int *verts = mesh.back()->GetElement(i)->GetVertices(); + const int nv = mesh.back()->GetElement(i)->GetNVertices(); + pointmat.SetSize(dim, nv); + for (int j = 0; j < nv; j++) { const double *coord = mesh.back()->GetVertex(verts[j]); for (int d = 0; d < dim; d++) @@ -611,11 +624,11 @@ void GetAxisAlignedBoundingBox(const mfem::ParMesh &mesh, const mfem::Array if (!mesh.GetNodes()) { auto BBUpdate = - [&mesh, &dim](const mfem::Array &verts, mfem::Vector &min, mfem::Vector &max) + [&mesh, &dim](const int *v, int nv, mfem::Vector &min, mfem::Vector &max) { - for (int j = 0; j < verts.Size(); j++) + for (int j = 0; j < nv; j++) { - const double *coord = mesh.GetVertex(verts[j]); + const double *coord = mesh.GetVertex(v[j]); for (int d = 0; d < dim; d++) { if (coord[d] < min(d)) @@ -637,7 +650,6 @@ void GetAxisAlignedBoundingBox(const mfem::ParMesh &mesh, const mfem::Array loc_min(d) = mfem::infinity(); loc_max(d) = -mfem::infinity(); } - mfem::Array verts; if (bdr) { PalacePragmaOmp(for schedule(static)) @@ -647,8 +659,8 @@ void GetAxisAlignedBoundingBox(const mfem::ParMesh &mesh, const mfem::Array { continue; } - mesh.GetBdrElementVertices(i, verts); - BBUpdate(verts, loc_min, loc_max); + const int *verts = mesh.GetBdrElement(i)->GetVertices(); + BBUpdate(verts, mesh.GetBdrElement(i)->GetNVertices(), loc_min, loc_max); } } else @@ -660,8 +672,8 @@ void GetAxisAlignedBoundingBox(const mfem::ParMesh &mesh, const mfem::Array { continue; } - mesh.GetElementVertices(i, verts); - BBUpdate(verts, loc_min, loc_max); + const int *verts = mesh.GetElement(i)->GetVertices(); + BBUpdate(verts, mesh.GetElement(i)->GetNVertices(), loc_min, loc_max); } } PalacePragmaOmp(critical(BBUpdate)) @@ -812,7 +824,6 @@ int CollectPointCloudOnRoot(const mfem::ParMesh &mesh, const mfem::Array &m PalacePragmaOmp(parallel) { std::unordered_set vertex_indices; - mfem::Array v; if (bdr) { PalacePragmaOmp(for schedule(static)) @@ -822,8 +833,8 @@ int CollectPointCloudOnRoot(const mfem::ParMesh &mesh, const mfem::Array &m { continue; } - mesh.GetBdrElementVertices(i, v); - vertex_indices.insert(v.begin(), v.end()); + const int *verts = mesh.GetBdrElement(i)->GetVertices(); + vertex_indices.insert(verts, verts + mesh.GetBdrElement(i)->GetNVertices()); } } else @@ -835,8 +846,8 @@ int CollectPointCloudOnRoot(const mfem::ParMesh &mesh, const mfem::Array &m { continue; } - mesh.GetElementVertices(i, v); - vertex_indices.insert(v.begin(), v.end()); + const int *verts = mesh.GetElement(i)->GetVertices(); + vertex_indices.insert(verts, verts + mesh.GetElement(i)->GetNVertices()); } } PalacePragmaOmp(critical(PointCloud)) @@ -2094,27 +2105,29 @@ void ReorderMeshElements(mfem::Mesh &mesh, bool print) mesh.ReorderElements(ordering); } -std::map> CheckMesh(std::unique_ptr &orig_mesh, - const IoData &iodata, bool clean_elem, - bool add_bdr_elem) +void CheckMesh(std::unique_ptr &orig_mesh, + const std::vector &mat_attr_list, const std::vector &bdr_attr_list, + bool clean_elem, bool add_bdr_elem, + const std::vector &crack_bdr_attr_list) { // - Check that all external boundaries of the mesh have a corresponding boundary // condition. // - If desired, create a new mesh which has removed all domain elements which do not have // an associated material property specified in the input file, as well as any resulting // hanging boundary elements. - // - If desired, create a new mesh which has added boundary elements for all material - // interfaces and/or subdomain interfaces if these elements do not yet exist. + // - If desired, create a new mesh which has added boundary elements for all exterior + // boundaries and material interfaces if these elements do not yet exist. + // - If desired, create a new mesh where internal boundary elements corresponding to + // certain attributes are "cracked", decoupling the elements on either side. MFEM_VERIFY(orig_mesh->Dimension() == 3 && !orig_mesh->Nonconforming(), "Nonconforming or 2D meshes have not been tested yet!"); MFEM_VERIFY(dynamic_cast(orig_mesh.get()) == nullptr, "This function does not work for ParMesh"); - auto mat_marker = - mesh::AttrToMarker(orig_mesh->attributes.Size() ? orig_mesh->attributes.Max() : 0, - iodata.domains.attributes, true); + auto mat_marker = mesh::AttrToMarker( + orig_mesh->attributes.Size() ? orig_mesh->attributes.Max() : 0, mat_attr_list, true); auto bdr_marker = mesh::AttrToMarker( - orig_mesh->bdr_attributes.Size() ? orig_mesh->bdr_attributes.Max() : 0, - iodata.boundaries.attributes, true); + orig_mesh->bdr_attributes.Size() ? orig_mesh->bdr_attributes.Max() : 0, bdr_attr_list, + true); { std::unordered_set bdr_warn_list; for (int be = 0; be < orig_mesh->GetNBE(); be++) @@ -2148,16 +2161,17 @@ std::map> CheckMesh(std::unique_ptr &orig_me // Mapping from new interface boundary attribute tags to vector of neighboring domain // attributes (when adding new boundary elements). - if (!clean_elem && !add_bdr_elem) + if (!clean_elem && !add_bdr_elem && crack_bdr_attr_list.empty()) { - return {}; + return; } // Count deleted or added domain and boundary elements. int new_ne = orig_mesh->GetNE(); int new_nbe = orig_mesh->GetNBE(); - std::vector elem_delete(orig_mesh->GetNE(), false), - bdr_elem_delete(orig_mesh->GetNBE(), false); + int new_nv = orig_mesh->GetNV(); + std::vector elem_delete_map(orig_mesh->GetNE(), -1), + bdr_elem_delete_map(orig_mesh->GetNBE(), -1); std::unordered_map face_to_be, new_face_be; face_to_be.reserve(orig_mesh->GetNBE()); for (int be = 0; be < orig_mesh->GetNBE(); be++) @@ -2169,34 +2183,36 @@ std::map> CheckMesh(std::unique_ptr &orig_me face_to_be[f] = be; } + // Delete domain and boundary elements which have no associated material or BC attribute + // from the mesh. if (clean_elem) { - // Delete domain and boundary elements which have no associated material or BC attribute - // from the mesh. + new_ne = 0; for (int e = 0; e < orig_mesh->GetNE(); e++) { - int attr = orig_mesh->GetAttribute(e); - if (!mat_marker[attr - 1]) + if (mat_marker[orig_mesh->GetAttribute(e) - 1]) { - elem_delete[e] = true; - new_ne--; + elem_delete_map[e] = new_ne++; } } // Make sure to remove any boundary elements which are no longer attached to elements in // the domain. + new_nbe = 0; for (int be = 0; be < orig_mesh->GetNBE(); be++) { int f, o, e1, e2; orig_mesh->GetBdrElementFace(be, &f, &o); orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete[e1]); - bool no_e2 = (e2 < 0 || elem_delete[e2]); - if (no_e1 && no_e2) + bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); + bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); + if (!no_e1 || !no_e2) + { + bdr_elem_delete_map[be] = new_nbe++; + } + else { // Mpi::Print("Deleting an unattached boundary element!\n"); - bdr_elem_delete[be] = true; - new_nbe--; } } if (new_ne < orig_mesh->GetNE()) @@ -2213,23 +2229,25 @@ std::map> CheckMesh(std::unique_ptr &orig_me int new_ne_step_1 = new_ne; int new_nbe_step_1 = new_nbe; + // Add new boundary elements at material interfaces or on the exterior boundary of the + // simulation domain, if there is not already a boundary element present. if (add_bdr_elem) { - // Add new boundary elements at material interfaces or on the exterior boundary of the - // simulation domain, if there is not already a boundary element present. MFEM_VERIFY(!orig_mesh->Nonconforming(), "Adding material interface boundary elements " "is not supported for nonconforming meshes!"); int new_nbe_ext = 0, new_nbe_int = 0; for (int f = 0; f < orig_mesh->GetNumFaces(); f++) { + // No need to check if the face corresponds to a deleted boundary element, since we + // skip all boundary elements. if (face_to_be.find(f) != face_to_be.end()) { continue; } int e1, e2; orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete[e1]); - bool no_e2 = (e2 < 0 || elem_delete[e2]); + bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); + bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); if ((no_e1 || no_e2) && !(no_e1 && no_e2)) { // Mpi::Print("Adding exterior boundary element!\n"); @@ -2259,17 +2277,202 @@ std::map> CheckMesh(std::unique_ptr &orig_me int new_ne_step_2 = new_ne; int new_nbe_step_2 = new_nbe; + // Duplicate internal boundary elements from the given boundary attribute list, cracking + // the mesh such that domain elements on either side are no longer coupled. Correctly + // handles cracks where more than two domains intersect as well as seams where a crack + // ends and the vertices are not duplicated. + std::unordered_map>>> + crack_vert_duplicates; + std::unordered_set crack_bdr_elem; + std::unique_ptr vert_to_elem, vert_to_bdr_elem; + if (!crack_bdr_attr_list.empty()) + { + MFEM_VERIFY(!orig_mesh->Nonconforming(), "Adding material interface boundary elements " + "is not supported for nonconforming meshes!"); + auto crack_bdr_marker = mesh::AttrToMarker( + orig_mesh->bdr_attributes.Size() ? orig_mesh->bdr_attributes.Max() : 0, + crack_bdr_attr_list, true); + for (int be = 0; be < orig_mesh->GetNBE(); be++) + { + if (crack_bdr_marker[orig_mesh->GetBdrAttribute(be) - 1] && + bdr_elem_delete_map[be] >= 0) + { + int f, o, e1, e2; + orig_mesh->GetBdrElementFace(be, &f, &o); + orig_mesh->GetFaceElements(f, &e1, &e2); + bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); + bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); + if (!no_e1 && !no_e2) + { + // Crack elements are deleted here, and added the pair of new ones is added later. + bdr_elem_delete_map[be] = -1; + crack_bdr_elem.insert(be); + } + } + } + { + // Finalize bdr_elem_delete_map updates. + int count = 0; + for (int be = 0; be < orig_mesh->GetNBE(); be++) + { + if (bdr_elem_delete_map[be] >= 0) + { + bdr_elem_delete_map[be] = count++; + } + } + } + + vert_to_elem.reset(orig_mesh->GetVertexToElementTable()); // Owned by caller + vert_to_bdr_elem.reset(orig_mesh->GetVertexToBdrElementTable()); // Owned by caller + const mfem::Table &elem_to_face = orig_mesh->ElementToFaceTable(); + int new_nv_dups = 0; + for (auto be : crack_bdr_elem) + { + const int *verts = orig_mesh->GetBdrElement(be)->GetVertices(); + for (int i = 0; i < orig_mesh->GetBdrElement(be)->GetNVertices(); i++) + { + // Skip already processed vertices. + const auto v = verts[i]; + if (crack_vert_duplicates.find(v) != crack_vert_duplicates.end()) + { + continue; + } + + // Collect connected components of elements connected to the vertex. Perform BFS + // on graph of all elements connected to this vertex, where adjacencies are + // determined by face connectivity excluding the crack faces. + std::vector> components; + const int *elems = vert_to_elem->GetRow(v); + std::unordered_set unvisited; + unvisited.reserve(vert_to_elem->RowSize(v)); + for (int j = 0; j < vert_to_elem->RowSize(v); j++) + { + if (elem_delete_map[elems[j]] >= 0) + { + unvisited.insert(elems[j]); + } + } + const auto nbr_size = unvisited.size(); + + // XX TODO DEBUG + if (DEBUG_OUTPUT) + { + std::cout << "\nVertex " << v << "\n"; + } + + while (!unvisited.empty()) + { + auto &component = components.emplace_back(); + component.reserve(unvisited.size()); + std::queue que; + que.push(*unvisited.begin()); + unvisited.erase(unvisited.begin()); + + // XX TODO DEBUG + if (DEBUG_OUTPUT) + { + std::cout << "\nComponent #" << components.size() << "\n" << que.back() << "\n"; + } + + while (!que.empty()) + { + // Process the current node. + int e = que.front(); + que.pop(); + component.insert(e); + + // Add neighbors. + const int *faces = elem_to_face.GetRow(e); + for (int j = 0; j < elem_to_face.RowSize(e); j++) + { + const auto f = faces[j]; + { + const auto it = face_to_be.find(f); + if (it != face_to_be.end() && + crack_bdr_elem.find(it->second) != crack_bdr_elem.end()) + { + // Skip element-element connectivities which cross the crack. + continue; + } + } + int e1, e2; + orig_mesh->GetFaceElements(f, &e1, &e2); + MFEM_VERIFY( + e == e1 || e == e2, + "Unexpected face-element connectivity in internal boundary cracking!"); + int nbr = (e == e1) ? e2 : e1; + const auto it = unvisited.find(nbr); + if (nbr >= 0 && elem_delete_map[nbr] >= 0 && it != unvisited.end()) + { + que.push(nbr); + unvisited.erase(it); + + // XX TODO DEBUG + if (DEBUG_OUTPUT) + { + std::cout << que.back() << "\n"; + } + } + } + } + } + MFEM_VERIFY( + !components.empty(), + "No connected components found for elements adjacent to a crack vertex!"); + { + std::size_t visited_size = 0; + for (const auto &component : components) + { + visited_size += component.size(); + } + MFEM_VERIFY(visited_size == nbr_size, + "Failed to visit all elements in neighborhood of vertex when " + "counting connected components!"); + } + + // Save mapping from original vertex to duplicate vertices, and the corresponding + // element groupings requiring renumbering. The first group doesn't need + // renumbering so is not saved. We also store a set of all modified domain elements + // around the crack. + if (components.size() > 1) + { + auto &vert_components = crack_vert_duplicates.try_emplace(v).first->second; + for (auto it = components.begin() + 1; it != components.end(); it++) + { + vert_components.emplace_back(orig_mesh->GetNV() + new_nv_dups, std::move(*it)); + new_nv_dups++; + } + } + } + } + + // XX TODO DEBUG + if (DEBUG_OUTPUT) + { + std::cout << "\nIdentified " << crack_vert_duplicates.size() + << " vertices for duplication\n\n"; + } + + new_nbe += crack_bdr_elem.size(); + new_nv += new_nv_dups; + if (crack_bdr_elem.size() > 0) + { + Mpi::Print("Duplicated {:d} boundary elements (and {:d} vertices) for interior " + "boundaries in the mesh\n", + crack_bdr_elem.size(), new_nv_dups); + } + } + // Create the new mesh. - if (new_ne == new_ne_step_1 && new_ne_step_1 == new_ne_step_2 && - new_ne_step_2 == orig_mesh->GetNE() && new_nbe == new_nbe_step_1 && - new_nbe_step_1 == new_nbe_step_2 && new_nbe_step_2 == orig_mesh->GetNBE()) + if (new_nv == orig_mesh->GetNV() && new_ne == new_ne_step_2 && + new_ne_step_2 == new_ne_step_1 && new_ne_step_1 == orig_mesh->GetNE() && + new_nbe == new_nbe_step_2 && new_nbe_step_2 == new_nbe_step_1 && + new_nbe_step_1 == orig_mesh->GetNBE()) { - return {}; + return; } - auto new_mesh = - std::make_unique(orig_mesh->Dimension(), orig_mesh->GetNV(), new_ne, - new_nbe, orig_mesh->SpaceDimension()); - std::map> new_attr_map; + auto new_mesh = std::make_unique(orig_mesh->Dimension(), new_nv, new_ne, + new_nbe, orig_mesh->SpaceDimension()); // Copy vertices and non-deleted domain and boundary elements. for (int v = 0; v < orig_mesh->GetNV(); v++) @@ -2278,7 +2481,7 @@ std::map> CheckMesh(std::unique_ptr &orig_me } for (int e = 0; e < orig_mesh->GetNE(); e++) { - if (!elem_delete[e]) + if (elem_delete_map[e] >= 0) { mfem::Element *el = orig_mesh->GetElement(e)->Duplicate(new_mesh.get()); new_mesh->AddElement(el); @@ -2286,7 +2489,7 @@ std::map> CheckMesh(std::unique_ptr &orig_me } for (int be = 0; be < orig_mesh->GetNBE(); be++) { - if (!bdr_elem_delete[be]) + if (bdr_elem_delete_map[be] >= 0) { mfem::Element *el = orig_mesh->GetBdrElement(be)->Duplicate(new_mesh.get()); new_mesh->AddBdrElement(el); @@ -2311,8 +2514,8 @@ std::map> CheckMesh(std::unique_ptr &orig_me // https://en.wikipedia.org/wiki/Pairing_function. int e1, e2, a = 0, b = 0; orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete[e1]); - bool no_e2 = (e2 < 0 || elem_delete[e2]); + bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); + bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); if (!no_e1 && !no_e2) { a = std::max(orig_mesh->GetAttribute(e1), orig_mesh->GetAttribute(e2)); @@ -2332,10 +2535,6 @@ std::map> CheckMesh(std::unique_ptr &orig_me MFEM_VERIFY(a + b > 0, "Invalid new boundary element attribute!"); int new_attr = max_bdr_attr + (((a + b) * (a + b + 1)) / 2) + a; // At least max_bdr_attr + 1 - if (new_attr_map.find(new_attr) == new_attr_map.end()) - { - new_attr_map.emplace(new_attr, std::array{a, b}); - } // Add the boundary elements with the new boundary attribute. mfem::Element *el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); @@ -2346,12 +2545,7 @@ std::map> CheckMesh(std::unique_ptr &orig_me // Flip order of vertices to reverse normal direction of second added element. el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); el->SetAttribute(new_attr); - { - mfem::Array v; - el->GetVertices(v); - std::reverse(v.begin(), v.end()); - el->SetVertices(v.HostRead()); - }; + std::reverse(el->GetVertices(), el->GetVertices() + el->GetNVertices()); new_mesh->AddBdrElement(el); if constexpr (false) { @@ -2364,6 +2558,183 @@ std::map> CheckMesh(std::unique_ptr &orig_me } } + // Add duplicated vertices from interior boundary cracking, renumber domain and boundary + // elements to tear the mesh, and add new crack boundary elements. + if (!crack_bdr_attr_list.empty()) + { + // Add duplicate vertices. + for (const auto &[orig_v, vert_components] : crack_vert_duplicates) + { + for (std::size_t i = 0; i < vert_components.size(); i++) + { + new_mesh->AddVertex(orig_mesh->GetVertex(orig_v)); + } + } + + // XX TODO DEBUG + if (DEBUG_OUTPUT) + { + std::cout << "\nAdded " << new_mesh->GetNV() - orig_mesh->GetNV() + << " vertices for internal boundary cracking\n\n"; + } + + // Renumber domain and boundary elements. + { + for (const auto &[orig_v, vert_components] : crack_vert_duplicates) + { + { + const int *elems = vert_to_elem->GetRow(orig_v); + for (int i = 0; i < vert_to_elem->RowSize(orig_v); i++) + { + // Find vertex in the element. + const auto e = elems[i]; + const auto new_e = elem_delete_map[e]; + if (new_e < 0) + { + continue; + } + int *verts = new_mesh->GetElement(new_e)->GetVertices(), j; + for (j = 0; j < new_mesh->GetElement(new_e)->GetNVertices(); j++) + { + if (verts[j] == orig_v) + { + break; + } + } + MFEM_VERIFY(j < new_mesh->GetElement(new_e)->GetNVertices(), + "Unable to locate vertex in element!"); + + // Find the correct duplicate for this vertex. It's OK if the element is not in + // any of the connected components, this indicates that it keeps the original + // vertex and its connectivity is unmodified. + for (const auto &[dup_v, component] : vert_components) + { + if (component.find(e) != component.end()) + { + + // XX TODO DEBUG + if (DEBUG_OUTPUT) + { + std::cout << "Renumbering vertex " << orig_v << " to " << dup_v + << " in element " << e << "\n"; + } + + verts[j] = dup_v; + break; + } + } + } + } + { + const int *bdr_elems = vert_to_bdr_elem->GetRow(orig_v); + for (int i = 0; i < vert_to_bdr_elem->RowSize(orig_v); i++) + { + // Find vertex in the boundary element. + if (bdr_elem_delete_map[bdr_elems[i]] < 0) + { + continue; + } + const auto be = bdr_elems[i]; + const auto new_be = bdr_elem_delete_map[be]; + int *verts = new_mesh->GetBdrElement(new_be)->GetVertices(), j; + for (j = 0; j < new_mesh->GetBdrElement(new_be)->GetNVertices(); j++) + { + if (verts[j] == orig_v) + { + break; + } + } + MFEM_VERIFY(j < new_mesh->GetBdrElement(new_be)->GetNVertices(), + "Unable to locate vertex in element!"); + + // Find the correct duplicate for this vertex. Use the neighboring elements, + // which must be part of the same connected component. Again, it is OK if the + // element is not in any of the connected components, this indicates that it + // keeps the original vertex and its connectivity is unmodified. + int f, o, e1, e2; + orig_mesh->GetBdrElementFace(be, &f, &o); + orig_mesh->GetFaceElements(f, &e1, &e2); + bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); + bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); + MFEM_VERIFY(!(no_e1 && no_e2), "Boundary element with no attached elements!"); + int e = no_e1 ? e2 : e1; + for (const auto &[dup_v, component] : vert_components) + { + if (component.find(e) != component.end()) + { + + // XX TODO DEBUG + if (DEBUG_OUTPUT) + { + std::cout << "Renumbering vertex " << orig_v << " to " << dup_v + << " in boundary element " << be << "\n"; + } + + verts[j] = dup_v; + break; + } + } + } + } + } + } + + // Finally, we insert the new boundary elements for the crack interface. + const mfem::Table &elem_to_face = orig_mesh->ElementToFaceTable(); + for (auto be : crack_bdr_elem) + { + int f, o, e1, e2; + orig_mesh->GetBdrElementFace(be, &f, &o); + orig_mesh->GetFaceElements(f, &e1, &e2); + MFEM_VERIFY(e1 >= 0 && elem_delete_map[e1] >= 0 && e2 >= 0 && + elem_delete_map[e2] >= 0, + "Incorrect labeling of interior crack boundary element!"); + for (int e : {e1, e2}) + { + // Find index of the crack face in the old element, which should be the same as in + // the new (torn) element. + const int *faces = elem_to_face.GetRow(e); + int i; + for (i = 0; i < elem_to_face.RowSize(e); i++) + { + if (faces[i] == f) + { + break; + } + } + MFEM_VERIFY(i < elem_to_face.RowSize(e), "Unable to locate crack face in element!"); + + // Add the interface boundary element. + mfem::Element *bdr_el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); + bdr_el->SetAttribute(orig_mesh->GetBdrAttribute(be)); + const mfem::Element *el = new_mesh->GetElement(elem_delete_map[e]); + for (int j = 0; j < bdr_el->GetNVertices(); j++) + { + bdr_el->GetVertices()[j] = el->GetVertices()[el->GetFaceVertices(i)[j]]; + } + new_mesh->AddBdrElement(bdr_el); + + // XX TODO DEBUG + if (DEBUG_OUTPUT) + { + std::cout << "Added crack interface boundary element with vertices:"; + for (int j = 0; j < bdr_el->GetNVertices(); j++) + { + std::cout << " " << bdr_el->GetVertices()[j]; + } + std::cout << "\n"; + } + } + } + + // XX TODO DEBUG + if (DEBUG_OUTPUT) + { + std::cout << "\nTotal mesh boundary elements = " << new_mesh->GetNBE() + << " (original = " << orig_mesh->GetNBE() << ")\n\n"; + } + } + // Finalize new mesh and replace the old one. If a curved mesh, set up the new mesh by // projecting nodes onto the new mesh for the non-trimmed vdofs (accounts for new // boundary elements too since no new dofs are added). See the MFEM trimmer miniapp for @@ -2393,7 +2764,7 @@ std::map> CheckMesh(std::unique_ptr &orig_me int te = 0; for (int e = 0; e < orig_mesh->GetNE(); e++) { - if (!elem_delete[e]) + if (elem_delete_map[e] >= 0) { // No need for DofTransformation here since spaces are H1 or L2. fespace->GetElementVDofs(e, vdofs); @@ -2406,7 +2777,6 @@ std::map> CheckMesh(std::unique_ptr &orig_me } new_mesh->Finalize(refine, fix_orientation); orig_mesh = std::move(new_mesh); - return new_attr_map; } std::unique_ptr GetMeshPartitioning(const mfem::Mesh &mesh, int size, From 51d0fd5e9464f1c4561fc050eff765554188252b Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Thu, 23 May 2024 17:00:52 -0700 Subject: [PATCH 02/24] Fix mesh cracking when domain or boundary elements are removed --- palace/utils/geodata.cpp | 268 +++++++++++++++++++++------------------ 1 file changed, 148 insertions(+), 120 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 2f2fbb59b..c188da2ef 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -57,7 +57,7 @@ void ReorderMeshElements(mfem::Mesh &, bool = true); // boundary elements for material interfaces and exterior boundaries, and "cracking" desired // internal boundary elements to disconnect the elements on either side. void CheckMesh(std::unique_ptr &, const std::vector &, - const std::vector &, bool, bool, const std::vector &); + const std::vector &, bool, const std::vector &, bool); // Generate element-based mesh partitioning, using either a provided file or METIS. std::unique_ptr GetMeshPartitioning(const mfem::Mesh &, int, @@ -167,8 +167,8 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) crack_bdr_attr_list = iodata.boundaries.attributes; } CheckMesh(smesh, iodata.domains.attributes, iodata.boundaries.attributes, - iodata.model.clean_unused_elements, iodata.model.add_bdr_elements, - crack_bdr_attr_list); + iodata.model.clean_unused_elements, crack_bdr_attr_list, + iodata.model.add_bdr_elements); } // Generate the mesh partitioning. @@ -2107,8 +2107,8 @@ void ReorderMeshElements(mfem::Mesh &mesh, bool print) void CheckMesh(std::unique_ptr &orig_mesh, const std::vector &mat_attr_list, const std::vector &bdr_attr_list, - bool clean_elem, bool add_bdr_elem, - const std::vector &crack_bdr_attr_list) + bool clean_elem, const std::vector &crack_bdr_attr_list, + bool add_bdr_elem) { // - Check that all external boundaries of the mesh have a corresponding boundary // condition. @@ -2161,18 +2161,18 @@ void CheckMesh(std::unique_ptr &orig_mesh, // Mapping from new interface boundary attribute tags to vector of neighboring domain // attributes (when adding new boundary elements). - if (!clean_elem && !add_bdr_elem && crack_bdr_attr_list.empty()) + if (!clean_elem && crack_bdr_attr_list.empty() && !add_bdr_elem) { return; } // Count deleted or added domain and boundary elements. + int new_nv = orig_mesh->GetNV(); int new_ne = orig_mesh->GetNE(); int new_nbe = orig_mesh->GetNBE(); - int new_nv = orig_mesh->GetNV(); std::vector elem_delete_map(orig_mesh->GetNE(), -1), bdr_elem_delete_map(orig_mesh->GetNBE(), -1); - std::unordered_map face_to_be, new_face_be; + std::unordered_map face_to_be; face_to_be.reserve(orig_mesh->GetNBE()); for (int be = 0; be < orig_mesh->GetNBE(); be++) { @@ -2229,54 +2229,6 @@ void CheckMesh(std::unique_ptr &orig_mesh, int new_ne_step_1 = new_ne; int new_nbe_step_1 = new_nbe; - // Add new boundary elements at material interfaces or on the exterior boundary of the - // simulation domain, if there is not already a boundary element present. - if (add_bdr_elem) - { - MFEM_VERIFY(!orig_mesh->Nonconforming(), "Adding material interface boundary elements " - "is not supported for nonconforming meshes!"); - int new_nbe_ext = 0, new_nbe_int = 0; - for (int f = 0; f < orig_mesh->GetNumFaces(); f++) - { - // No need to check if the face corresponds to a deleted boundary element, since we - // skip all boundary elements. - if (face_to_be.find(f) != face_to_be.end()) - { - continue; - } - int e1, e2; - orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); - bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); - if ((no_e1 || no_e2) && !(no_e1 && no_e2)) - { - // Mpi::Print("Adding exterior boundary element!\n"); - new_face_be[f] = 1; - new_nbe_ext++; - } - else if (orig_mesh->GetAttribute(e1) != orig_mesh->GetAttribute(e2)) - { - // Add new boundary element at material interface between two domains. - // Mpi::Print("Adding material interface boundary element!\n"); - new_face_be[f] = 1; - new_nbe_int++; - } - } - new_nbe += (new_nbe_ext + new_nbe_int); - if (new_nbe_ext > 0) - { - Mpi::Print("Added {:d} boundary elements for exterior boundaries to the mesh\n", - new_nbe_ext); - } - if (new_nbe_int > 0) - { - Mpi::Print("Added {:d} boundary elements for material interfaces to the mesh\n", - new_nbe_int); - } - } - int new_ne_step_2 = new_ne; - int new_nbe_step_2 = new_nbe; - // Duplicate internal boundary elements from the given boundary attribute list, cracking // the mesh such that domain elements on either side are no longer coupled. Correctly // handles cracks where more than two domains intersect as well as seams where a crack @@ -2453,8 +2405,8 @@ void CheckMesh(std::unique_ptr &orig_mesh, << " vertices for duplication\n\n"; } - new_nbe += crack_bdr_elem.size(); new_nv += new_nv_dups; + new_nbe += crack_bdr_elem.size(); if (crack_bdr_elem.size() > 0) { Mpi::Print("Duplicated {:d} boundary elements (and {:d} vertices) for interior " @@ -2462,6 +2414,54 @@ void CheckMesh(std::unique_ptr &orig_mesh, crack_bdr_elem.size(), new_nv_dups); } } + int new_ne_step_2 = new_ne; + int new_nbe_step_2 = new_nbe; + + // Add new boundary elements at material interfaces or on the exterior boundary of the + // simulation domain, if there is not already a boundary element present. + std::unordered_map new_face_bdr_elem; + if (add_bdr_elem) + { + MFEM_VERIFY(!orig_mesh->Nonconforming(), "Adding material interface boundary elements " + "is not supported for nonconforming meshes!"); + int new_nbe_ext = 0, new_nbe_int = 0; + for (int f = 0; f < orig_mesh->GetNumFaces(); f++) + { + // No need to check if the face corresponds to a deleted boundary element, since we + // skip all boundary elements. + if (face_to_be.find(f) != face_to_be.end()) + { + continue; + } + int e1, e2; + orig_mesh->GetFaceElements(f, &e1, &e2); + bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); + bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); + if ((no_e1 || no_e2) && !(no_e1 && no_e2)) + { + // Mpi::Print("Adding exterior boundary element!\n"); + new_face_bdr_elem[f] = 1; + new_nbe_ext++; + } + else if (orig_mesh->GetAttribute(e1) != orig_mesh->GetAttribute(e2)) + { + // Mpi::Print("Adding material interface boundary element!\n"); + new_face_bdr_elem[f] = 1; + new_nbe_int++; + } + } + new_nbe += (new_nbe_ext + new_nbe_int); + if (new_nbe_ext > 0) + { + Mpi::Print("Added {:d} boundary elements for exterior boundaries to the mesh\n", + new_nbe_ext); + } + if (new_nbe_int > 0) + { + Mpi::Print("Added {:d} boundary elements for material interfaces to the mesh\n", + new_nbe_int); + } + } // Create the new mesh. if (new_nv == orig_mesh->GetNV() && new_ne == new_ne_step_2 && @@ -2496,68 +2496,6 @@ void CheckMesh(std::unique_ptr &orig_mesh, } } - // Add new boundary elements. - if (add_bdr_elem) - { - // Some (1-based) boundary attributes may be empty since they were removed from the - // original mesh, but to keep attributes the same as config file we don't compress the - // list. - int max_bdr_attr = - orig_mesh->bdr_attributes.Size() ? orig_mesh->bdr_attributes.Max() : 0; - for (int f = 0; f < orig_mesh->GetNumFaces(); f++) - { - if (new_face_be[f] > 0) - { - // Assign new unique attribute based on attached elements. Save so that the - // attributes of e1 and e2 can be easily referenced using the new attribute. Since - // attributes are in 1-based indexing, a, b > 0. See also - // https://en.wikipedia.org/wiki/Pairing_function. - int e1, e2, a = 0, b = 0; - orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); - bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); - if (!no_e1 && !no_e2) - { - a = std::max(orig_mesh->GetAttribute(e1), orig_mesh->GetAttribute(e2)); - b = (a == orig_mesh->GetAttribute(e1)) ? orig_mesh->GetAttribute(e2) - : orig_mesh->GetAttribute(e1); - } - else if (!no_e1) - { - a = orig_mesh->GetAttribute(e1); - b = 0; - } - else if (!no_e2) - { - a = orig_mesh->GetAttribute(e2); - b = 0; - } - MFEM_VERIFY(a + b > 0, "Invalid new boundary element attribute!"); - int new_attr = - max_bdr_attr + (((a + b) * (a + b + 1)) / 2) + a; // At least max_bdr_attr + 1 - - // Add the boundary elements with the new boundary attribute. - mfem::Element *el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); - el->SetAttribute(new_attr); - new_mesh->AddBdrElement(el); - if (new_face_be[f] > 1) - { - // Flip order of vertices to reverse normal direction of second added element. - el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); - el->SetAttribute(new_attr); - std::reverse(el->GetVertices(), el->GetVertices() + el->GetNVertices()); - new_mesh->AddBdrElement(el); - if constexpr (false) - { - Mpi::Print("Adding two boundary elements with attribute {:d} from elements " - "{:d} and {:d}\n", - new_attr, a, b); - } - } - } - } - } - // Add duplicated vertices from interior boundary cracking, renumber domain and boundary // elements to tear the mesh, and add new crack boundary elements. if (!crack_bdr_attr_list.empty()) @@ -2702,7 +2640,7 @@ void CheckMesh(std::unique_ptr &orig_mesh, break; } } - MFEM_VERIFY(i < elem_to_face.RowSize(e), "Unable to locate crack face in element!"); + MFEM_VERIFY(i < elem_to_face.RowSize(e), "Unable to locate face in element!"); // Add the interface boundary element. mfem::Element *bdr_el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); @@ -2735,6 +2673,96 @@ void CheckMesh(std::unique_ptr &orig_mesh, } } + // Add new boundary elements. + if (add_bdr_elem) + { + // Some (1-based) boundary attributes may be empty since they were removed from the + // original mesh, but to keep attributes the same as config file we don't compress the + // list. + const mfem::Table &elem_to_face = orig_mesh->ElementToFaceTable(); + int max_bdr_attr = + orig_mesh->bdr_attributes.Size() ? orig_mesh->bdr_attributes.Max() : 0; + for (int f = 0; f < orig_mesh->GetNumFaces(); f++) + { + if (new_face_bdr_elem[f] > 0) + { + // Assign new unique attribute based on attached elements. Save so that the + // attributes of e1 and e2 can be easily referenced using the new attribute. Since + // attributes are in 1-based indexing, a, b > 0. See also + // https://en.wikipedia.org/wiki/Pairing_function. + int e1, e2, a = 0, b = 0; + orig_mesh->GetFaceElements(f, &e1, &e2); + bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); + bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); + if (!no_e1 && !no_e2) + { + a = std::max(orig_mesh->GetAttribute(e1), orig_mesh->GetAttribute(e2)); + b = (a == orig_mesh->GetAttribute(e1)) ? orig_mesh->GetAttribute(e2) + : orig_mesh->GetAttribute(e1); + } + else if (!no_e1) + { + a = orig_mesh->GetAttribute(e1); + b = 0; + } + else if (!no_e2) + { + a = orig_mesh->GetAttribute(e2); + b = 0; + } + MFEM_VERIFY(a + b > 0, "Invalid new boundary element attribute!"); + int new_attr = + max_bdr_attr + (((a + b) * (a + b + 1)) / 2) + a; // At least max_bdr_attr + 1 + + // Add the boundary elements with the new boundary attribute. The element vertices + // may have been renumbered in the new mesh, so the new face is not necessarily + // just a duplicate of the old one. First we find the index of the face in the old + // element, which should match the new element. + int e = no_e1 ? e2 : e1; + const int *faces = elem_to_face.GetRow(e); + int i; + for (i = 0; i < elem_to_face.RowSize(e); i++) + { + if (faces[i] == f) + { + break; + } + } + MFEM_VERIFY(i < elem_to_face.RowSize(e), "Unable to locate face in element!"); + + // Now add the boundary element(s). + mfem::Element *bdr_el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); + bdr_el->SetAttribute(new_attr); + const mfem::Element *el = new_mesh->GetElement(elem_delete_map[e]); + for (int j = 0; j < bdr_el->GetNVertices(); j++) + { + bdr_el->GetVertices()[j] = el->GetVertices()[el->GetFaceVertices(i)[j]]; + } + new_mesh->AddBdrElement(bdr_el); + if (new_face_bdr_elem[f] > 1) + { + // Flip order of vertices to reverse normal direction of second added element. + mfem::Element *bdr_el2 = bdr_el->Duplicate(new_mesh.get()); + std::reverse(bdr_el2->GetVertices(), + bdr_el2->GetVertices() + bdr_el2->GetNVertices()); + new_mesh->AddBdrElement(bdr_el2); + if constexpr (false) + { + Mpi::Print("Adding two boundary elements with attribute {:d} from elements " + "{:d} and {:d}\n", + new_attr, a, b); + } + } + else if constexpr (false) + { + Mpi::Print("Adding boundary element with attribute {:d} from elements " + "{:d} and {:d}\n", + new_attr, a, b); + } + } + } + } + // Finalize new mesh and replace the old one. If a curved mesh, set up the new mesh by // projecting nodes onto the new mesh for the non-trimmed vdofs (accounts for new // boundary elements too since no new dofs are added). See the MFEM trimmer miniapp for From efcb685306564f52e095f2cac3c3947d71c9fb36 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Thu, 23 May 2024 17:01:14 -0700 Subject: [PATCH 03/24] Correct detection of which boundary attributes require cracking --- palace/utils/configfile.cpp | 9 ++- palace/utils/configfile.hpp | 8 +-- palace/utils/geodata.cpp | 114 +++++++----------------------------- 3 files changed, 30 insertions(+), 101 deletions(-) diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index 62ab01fd3..09126d0a0 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -647,7 +647,7 @@ void DomainPostData::SetUp(json &domains) attributes.insert(attributes.end(), data.attributes.begin(), data.attributes.end()); } std::sort(attributes.begin(), attributes.end()); - attributes.erase(unique(attributes.begin(), attributes.end()), attributes.end()); + attributes.erase(std::unique(attributes.begin(), attributes.end()), attributes.end()); attributes.shrink_to_fit(); // Cleanup @@ -672,7 +672,7 @@ void DomainData::SetUp(json &config) attributes.insert(attributes.end(), data.attributes.begin(), data.attributes.end()); } std::sort(attributes.begin(), attributes.end()); - attributes.erase(unique(attributes.begin(), attributes.end()), attributes.end()); + attributes.erase(std::unique(attributes.begin(), attributes.end()), attributes.end()); attributes.shrink_to_fit(); for (const auto &attr : postpro.attributes) { @@ -1314,7 +1314,7 @@ void BoundaryPostData::SetUp(json &boundaries) attributes.insert(attributes.end(), data.attributes.begin(), data.attributes.end()); } std::sort(attributes.begin(), attributes.end()); - attributes.erase(unique(attributes.begin(), attributes.end()), attributes.end()); + attributes.erase(std::unique(attributes.begin(), attributes.end()), attributes.end()); attributes.shrink_to_fit(); // Cleanup @@ -1381,9 +1381,8 @@ void BoundaryData::SetUp(json &config) attributes.insert(attributes.end(), elem.attributes.begin(), elem.attributes.end()); } } - attributes.insert(attributes.end(), postpro.attributes.begin(), postpro.attributes.end()); std::sort(attributes.begin(), attributes.end()); - attributes.erase(unique(attributes.begin(), attributes.end()), attributes.end()); + attributes.erase(std::unique(attributes.begin(), attributes.end()), attributes.end()); attributes.shrink_to_fit(); // Cleanup diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index 765f4e4af..11fb2fb06 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -312,7 +312,7 @@ struct ProbePostData : public internal::DataMap struct DomainPostData { public: - // Set of all postprocessing domain attributes. + // List of all postprocessing domain attributes. std::vector attributes = {}; // Domain postprocessing objects. @@ -325,7 +325,7 @@ struct DomainPostData struct DomainData { public: - // Set of all domain attributes. + // List of all domain attributes (excluding postprocessing). std::vector attributes = {}; // Domain objects. @@ -583,7 +583,7 @@ struct BoundaryPostData using Side = InterfaceDielectricData::Side; Side side = Side::SMALLER_REF_INDEX; - // Set of all postprocessing boundary attributes. + // List of all postprocessing boundary attributes. std::vector attributes = {}; // Boundary postprocessing objects. @@ -596,7 +596,7 @@ struct BoundaryPostData struct BoundaryData { public: - // Set of all boundary attributes. + // List of all boundary attributes (excluding postprocessing). std::vector attributes = {}; // Boundary objects. diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index c188da2ef..67c10dd9e 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -25,9 +25,6 @@ #include "utils/prettyprint.hpp" #include "utils/timer.hpp" -// XX TODO WIP DEBUG -#define DEBUG_OUTPUT 1 - namespace palace { @@ -159,16 +156,25 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) // nonconformal mesh was generated by adaptation and thus does not need checking. if (smesh->Conforming()) { - std::vector crack_bdr_attr_list; + std::vector attr_list, bdr_attr_list, crack_bdr_attr_list; + std::merge(iodata.domains.attributes.begin(), iodata.domains.attributes.end(), + iodata.domains.postpro.attributes.begin(), + iodata.domains.postpro.attributes.end(), std::back_inserter(attr_list)); + std::merge(iodata.boundaries.attributes.begin(), iodata.boundaries.attributes.end(), + iodata.boundaries.postpro.attributes.begin(), + iodata.boundaries.postpro.attributes.end(), + std::back_inserter(bdr_attr_list)); + attr_list.erase(std::unique(attr_list.begin(), attr_list.end()), attr_list.end()); + bdr_attr_list.erase(std::unique(bdr_attr_list.begin(), bdr_attr_list.end()), + bdr_attr_list.end()); if (crack_bdr_elem) { - - // XX TODO SELECT ATTRIBUTES FOR CRACKING... + // Split all internal boundary elements for boundary attributes where BC are + // applied (not just postprocessing). crack_bdr_attr_list = iodata.boundaries.attributes; } - CheckMesh(smesh, iodata.domains.attributes, iodata.boundaries.attributes, - iodata.model.clean_unused_elements, crack_bdr_attr_list, - iodata.model.add_bdr_elements); + CheckMesh(smesh, attr_list, bdr_attr_list, iodata.model.clean_unused_elements, + crack_bdr_attr_list, iodata.model.add_bdr_elements); } // Generate the mesh partitioning. @@ -1717,16 +1723,7 @@ std::unique_ptr LoadMesh(const std::string &mesh_file, bool remove_c } if (remove_curvature) { - if (mesh->GetNodes()) - { - mfem::GridFunction *nodes = nullptr; - int own_nodes = true; - mesh->SwapNodes(nodes, own_nodes); - if (own_nodes) - { - delete nodes; - } - } + mesh->SetCurvature(-1); } else { @@ -2305,13 +2302,6 @@ void CheckMesh(std::unique_ptr &orig_mesh, } } const auto nbr_size = unvisited.size(); - - // XX TODO DEBUG - if (DEBUG_OUTPUT) - { - std::cout << "\nVertex " << v << "\n"; - } - while (!unvisited.empty()) { auto &component = components.emplace_back(); @@ -2319,13 +2309,6 @@ void CheckMesh(std::unique_ptr &orig_mesh, std::queue que; que.push(*unvisited.begin()); unvisited.erase(unvisited.begin()); - - // XX TODO DEBUG - if (DEBUG_OUTPUT) - { - std::cout << "\nComponent #" << components.size() << "\n" << que.back() << "\n"; - } - while (!que.empty()) { // Process the current node. @@ -2358,12 +2341,6 @@ void CheckMesh(std::unique_ptr &orig_mesh, { que.push(nbr); unvisited.erase(it); - - // XX TODO DEBUG - if (DEBUG_OUTPUT) - { - std::cout << que.back() << "\n"; - } } } } @@ -2391,20 +2368,13 @@ void CheckMesh(std::unique_ptr &orig_mesh, auto &vert_components = crack_vert_duplicates.try_emplace(v).first->second; for (auto it = components.begin() + 1; it != components.end(); it++) { - vert_components.emplace_back(orig_mesh->GetNV() + new_nv_dups, std::move(*it)); + vert_components.emplace_back(-1, std::move(*it)); new_nv_dups++; } } } } - // XX TODO DEBUG - if (DEBUG_OUTPUT) - { - std::cout << "\nIdentified " << crack_vert_duplicates.size() - << " vertices for duplication\n\n"; - } - new_nv += new_nv_dups; new_nbe += crack_bdr_elem.size(); if (crack_bdr_elem.size() > 0) @@ -2500,22 +2470,16 @@ void CheckMesh(std::unique_ptr &orig_mesh, // elements to tear the mesh, and add new crack boundary elements. if (!crack_bdr_attr_list.empty()) { - // Add duplicate vertices. - for (const auto &[orig_v, vert_components] : crack_vert_duplicates) + // Add duplicate vertices. We assign the vertex number of the duplicated vertex in order + // to update the element connectivities in the next step. + for (auto &[orig_v, vert_components] : crack_vert_duplicates) { - for (std::size_t i = 0; i < vert_components.size(); i++) + for (auto &[dup_v, component] : vert_components) { - new_mesh->AddVertex(orig_mesh->GetVertex(orig_v)); + dup_v = new_mesh->AddVertex(orig_mesh->GetVertex(orig_v)); } } - // XX TODO DEBUG - if (DEBUG_OUTPUT) - { - std::cout << "\nAdded " << new_mesh->GetNV() - orig_mesh->GetNV() - << " vertices for internal boundary cracking\n\n"; - } - // Renumber domain and boundary elements. { for (const auto &[orig_v, vert_components] : crack_vert_duplicates) @@ -2549,14 +2513,6 @@ void CheckMesh(std::unique_ptr &orig_mesh, { if (component.find(e) != component.end()) { - - // XX TODO DEBUG - if (DEBUG_OUTPUT) - { - std::cout << "Renumbering vertex " << orig_v << " to " << dup_v - << " in element " << e << "\n"; - } - verts[j] = dup_v; break; } @@ -2600,14 +2556,6 @@ void CheckMesh(std::unique_ptr &orig_mesh, { if (component.find(e) != component.end()) { - - // XX TODO DEBUG - if (DEBUG_OUTPUT) - { - std::cout << "Renumbering vertex " << orig_v << " to " << dup_v - << " in boundary element " << be << "\n"; - } - verts[j] = dup_v; break; } @@ -2651,26 +2599,8 @@ void CheckMesh(std::unique_ptr &orig_mesh, bdr_el->GetVertices()[j] = el->GetVertices()[el->GetFaceVertices(i)[j]]; } new_mesh->AddBdrElement(bdr_el); - - // XX TODO DEBUG - if (DEBUG_OUTPUT) - { - std::cout << "Added crack interface boundary element with vertices:"; - for (int j = 0; j < bdr_el->GetNVertices(); j++) - { - std::cout << " " << bdr_el->GetVertices()[j]; - } - std::cout << "\n"; - } } } - - // XX TODO DEBUG - if (DEBUG_OUTPUT) - { - std::cout << "\nTotal mesh boundary elements = " << new_mesh->GetNBE() - << " (original = " << orig_mesh->GetNBE() << ")\n\n"; - } } // Add new boundary elements. From 07f81edbd04a7fc7533a7bf3abe0c7a19e7a7509 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Fri, 24 May 2024 13:51:45 -0700 Subject: [PATCH 04/24] Add configuration file option for boundary element cracking --- docs/src/config/model.md | 1 + palace/utils/configfile.cpp | 3 +++ palace/utils/configfile.hpp | 4 ++++ palace/utils/geodata.cpp | 10 ++++++---- scripts/schema/config/model.json | 1 + 5 files changed, 15 insertions(+), 4 deletions(-) diff --git a/docs/src/config/model.md b/docs/src/config/model.md index 9f644bf8e..2986a63cf 100644 --- a/docs/src/config/model.md +++ b/docs/src/config/model.md @@ -118,6 +118,7 @@ mesh length units. - `"MakeHexahedral" [false]` - `"ReorderElements" [false]` - `"CleanUnusedElements" [true]` + - `"CrackInternalBoundaryElements" [true]` - `"AddInterfaceBoundaryElements" [true]` - `"ReorientTetMesh" [false]` - `"Partitioning" [""]` diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index 09126d0a0..bbc40622b 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -470,6 +470,7 @@ void ModelData::SetUp(json &config) make_hex = model->value("MakeHexahedral", make_hex); reorder_elements = model->value("ReorderElements", reorder_elements); clean_unused_elements = model->value("CleanUnusedElements", clean_unused_elements); + crack_bdr_elements = model->value("CrackInternalBoundaryElements", crack_bdr_elements); add_bdr_elements = model->value("AddInterfaceBoundaryElements", add_bdr_elements); reorient_tet_mesh = model->value("ReorientTetMesh", reorient_tet_mesh); partitioning = model->value("Partitioning", partitioning); @@ -484,6 +485,7 @@ void ModelData::SetUp(json &config) model->erase("MakeHexahedral"); model->erase("ReorderElements"); model->erase("CleanUnusedElements"); + model->erase("CrackInternalBoundaryElements"); model->erase("AddInterfaceBoundaryElements"); model->erase("ReorientTetMesh"); model->erase("Partitioning"); @@ -503,6 +505,7 @@ void ModelData::SetUp(json &config) std::cout << "MakeHexahedral: " << make_hex << '\n'; std::cout << "ReorderElements: " << reorder_elements << '\n'; std::cout << "CleanUnusedElements: " << clean_unused_elements << '\n'; + std::cout << "CrackInternalBoundaryElements: " << crack_bdr_elements << '\n'; std::cout << "AddInterfaceBoundaryElements: " << add_bdr_elements << '\n'; std::cout << "ReorientTetMesh: " << reorient_tet_mesh << '\n'; std::cout << "Partitioning: " << partitioning << '\n'; diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index 11fb2fb06..b3e543517 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -219,6 +219,10 @@ struct ModelData // which do not have any material properties specified. bool clean_unused_elements = true; + // Split, or "crack", boundary elements lying on internal boundaries to decouple the + // elements on either side. + bool crack_bdr_elements = true; + // Add new boundary elements for faces are on the computational domain boundary or which // have attached elements on either side with different domain attributes. bool add_bdr_elements = true; diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 67c10dd9e..699c5fb15 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -167,7 +167,7 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) attr_list.erase(std::unique(attr_list.begin(), attr_list.end()), attr_list.end()); bdr_attr_list.erase(std::unique(bdr_attr_list.begin(), bdr_attr_list.end()), bdr_attr_list.end()); - if (crack_bdr_elem) + if (iodata.model.crack_bdr_elements) { // Split all internal boundary elements for boundary attributes where BC are // applied (not just postprocessing). @@ -2379,9 +2379,11 @@ void CheckMesh(std::unique_ptr &orig_mesh, new_nbe += crack_bdr_elem.size(); if (crack_bdr_elem.size() > 0) { - Mpi::Print("Duplicated {:d} boundary elements (and {:d} vertices) for interior " - "boundaries in the mesh\n", - crack_bdr_elem.size(), new_nv_dups); + Mpi::Print("Added {:d} duplicate vertices for interior boundaries in the mesh\n", + new_nv_dups); + Mpi::Print( + "Added {:d} duplicate boundary elements for interior boundaries in the mesh\n", + crack_bdr_elem.size()); } } int new_ne_step_2 = new_ne; diff --git a/scripts/schema/config/model.json b/scripts/schema/config/model.json index 9894835ae..301f1b994 100644 --- a/scripts/schema/config/model.json +++ b/scripts/schema/config/model.json @@ -14,6 +14,7 @@ "MakeHexahedral": { "type": "boolean" }, "ReorderElements": { "type": "boolean" }, "CleanUnusedElements": { "type": "boolean" }, + "CrackInternalBoundaryElements": { "type": "boolean" }, "AddInterfaceBoundaryElements": { "type": "boolean" }, "ReorientTetMesh": { "type": "boolean" }, "Partitioning": { "type": "string" }, From 4dce60fe4cd9207955286b03b2f12a56151a8eba Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Fri, 31 May 2024 16:44:55 -0700 Subject: [PATCH 05/24] Reorganizing mesh cracking and adding case requiring local AMR for thin interior boundaries (one element wide) --- palace/utils/geodata.cpp | 753 +++++++++++++++++++++++---------------- 1 file changed, 436 insertions(+), 317 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 699c5fb15..0a401103a 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -9,6 +9,7 @@ #include #include #include +#include #include #include #include @@ -41,6 +42,9 @@ constexpr auto MSH_FLT_PRECISION = std::numeric_limits::max_digits10; // Load the serial mesh from disk. std::unique_ptr LoadMesh(const std::string &, bool); +// Clean the provided serial mesh by removing unused domain and boundary elements. +void CleanMesh(std::unique_ptr &, const std::vector &, bool = true); + // Create a new mesh by splitting all elements of the mesh into simplices or hexes // (using tet-to-hex). Optionally preserves curvature of the original mesh by interpolating // the high-order nodes with GSLIB. @@ -50,11 +54,13 @@ void SplitMeshElements(std::unique_ptr &, bool, bool, bool = true); // cache usage. void ReorderMeshElements(mfem::Mesh &, bool = true); -// Clean the provided serial mesh by removing unnecessary domain and elements, adding -// boundary elements for material interfaces and exterior boundaries, and "cracking" desired -// internal boundary elements to disconnect the elements on either side. -void CheckMesh(std::unique_ptr &, const std::vector &, - const std::vector &, bool, const std::vector &, bool); +// Adding boundary elements for material interfaces and exterior boundaries, and "crack" +// desired internal boundary elements to disconnect the elements on either side. +int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, + const std::vector &crack_bdr_attr_list, bool add_bdr_elem); + +// Check that mesh boundary conditions are given for external boundaries. +void CheckMesh(const mfem::Mesh &, const std::vector &, int); // Generate element-based mesh partitioning, using either a provided file or METIS. std::unique_ptr GetMeshPartitioning(const mfem::Mesh &, int, @@ -121,6 +127,17 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) refinement.nonconformal, "If there are pyramid elements, AMR must be nonconformal!"); + // Clean up unused domain elements from the mesh. + if (iodata.model.clean_unused_elements) + { + std::vector attr_list; + std::merge(iodata.domains.attributes.begin(), iodata.domains.attributes.end(), + iodata.domains.postpro.attributes.begin(), + iodata.domains.postpro.attributes.end(), std::back_inserter(attr_list)); + attr_list.erase(std::unique(attr_list.begin(), attr_list.end()), attr_list.end()); + CleanMesh(smesh, attr_list); + } + // Optionally convert mesh elements to simplices, for example in order to enable // conformal mesh refinement, or hexes. if (iodata.model.make_simplex || iodata.model.make_hex) @@ -151,32 +168,34 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) } } - // Clean up unused domain elements from the mesh, add new boundary elements for material - // interfaces if not present. Can only clean up conforming meshes, assumes that any - // nonconformal mesh was generated by adaptation and thus does not need checking. - if (smesh->Conforming()) + // Add new boundary elements for material interfaces if not present (with new unique + // boundary attributes). Also duplicate internal boundary elements associated with + // cracks if desired. + int orig_bdr_attr_max = smesh->bdr_attributes.Size() ? smesh->bdr_attributes.Max() : 0; + if (iodata.model.crack_bdr_elements || iodata.model.add_bdr_elements) { - std::vector attr_list, bdr_attr_list, crack_bdr_attr_list; - std::merge(iodata.domains.attributes.begin(), iodata.domains.attributes.end(), - iodata.domains.postpro.attributes.begin(), - iodata.domains.postpro.attributes.end(), std::back_inserter(attr_list)); - std::merge(iodata.boundaries.attributes.begin(), iodata.boundaries.attributes.end(), - iodata.boundaries.postpro.attributes.begin(), - iodata.boundaries.postpro.attributes.end(), - std::back_inserter(bdr_attr_list)); - attr_list.erase(std::unique(attr_list.begin(), attr_list.end()), attr_list.end()); - bdr_attr_list.erase(std::unique(bdr_attr_list.begin(), bdr_attr_list.end()), - bdr_attr_list.end()); + std::vector crack_bdr_attr_list; if (iodata.model.crack_bdr_elements) { // Split all internal boundary elements for boundary attributes where BC are // applied (not just postprocessing). crack_bdr_attr_list = iodata.boundaries.attributes; } - CheckMesh(smesh, attr_list, bdr_attr_list, iodata.model.clean_unused_elements, - crack_bdr_attr_list, iodata.model.add_bdr_elements); + int success = 0; + while (!success) + { + // May require multiple calls due to early exit/retry approach. + success = AddInterfaceBdrElements(smesh, crack_bdr_attr_list, + iodata.model.add_bdr_elements); + } } + // Check the final mesh, throwing warnings if there are exterior boundaries with no + // associated boundary condition. + CheckMesh(*smesh, iodata.boundaries.attributes, orig_bdr_attr_max); + + // XX TODO FINALIZE THE MESH HERE ONCE AND FOR ALL IF MODIFIED? + // Generate the mesh partitioning. partitioning = GetMeshPartitioning(*smesh, Mpi::Size(comm), iodata.model.partitioning); } @@ -343,7 +362,7 @@ void RefineMesh(const IoData &iodata, std::vector { // Mark elements for refinement in all regions. An element is marked for refinement if // any of its vertices are inside any refinement region for the given level. - mfem::Array refs; + mfem::Array refinements; for (int i = 0; i < mesh.back()->GetNE(); i++) { bool refine = false; @@ -398,7 +417,7 @@ void RefineMesh(const IoData &iodata, std::vector } if (refine) { - refs.Append(mfem::Refinement(i)); + refinements.Append(mfem::Refinement(i)); continue; } for (const auto &sphere : iodata.model.refinement.GetSpheres()) @@ -428,7 +447,7 @@ void RefineMesh(const IoData &iodata, std::vector } if (refine) { - refs.Append(mfem::Refinement(i)); + refinements.Append(mfem::Refinement(i)); } } @@ -438,7 +457,7 @@ void RefineMesh(const IoData &iodata, std::vector { mesh.emplace_back(std::make_unique(*mesh.back())); } - mesh.back()->GeneralRefinement(refs, -1); + mesh.back()->GeneralRefinement(refinements, -1); region_ref_level++; } if (max_region_ref_levels > 0 && mesh.capacity() == 1) @@ -1732,6 +1751,142 @@ std::unique_ptr LoadMesh(const std::string &mesh_file, bool remove_c return mesh; } +template > +void TransferHighOrderNodes(const mfem::Mesh &orig_mesh, mfem::Mesh &new_mesh, + const T *elem_delete_map = nullptr) +{ + // This accounts for new boundary elements too since no new dofs are added. See the MFEM + // trimmer miniapp for reference. + MFEM_VERIFY(orig_mesh.GetNodes(), "No high-order nodes information to transfer!"); + const mfem::GridFunction *nodes = orig_mesh.GetNodes(); + const mfem::FiniteElementSpace *fespace = nodes->FESpace(); + mfem::Ordering::Type ordering = fespace->GetOrdering(); + int order = fespace->GetMaxElementOrder(); + int sdim = orig_mesh.SpaceDimension(); + bool discont = + (dynamic_cast(fespace->FEColl()) != nullptr); + new_mesh.SetCurvature(order, discont, sdim, ordering); + mfem::GridFunction *new_nodes = new_mesh.GetNodes(); + const mfem::FiniteElementSpace *new_fespace = new_nodes->FESpace(); + + // Transfer dofs from the old mesh to the new ones. Either consider all elements (works + // for orientation or numbering changes), or use the prescribed old to new element index + // map. + mfem::Array vdofs, new_vdofs; + mfem::Vector loc_vec; + for (int e = 0; e < orig_mesh.GetNE(); e++) + { + if (!elem_delete_map || (*elem_delete_map)[e] >= 0) + { + // No need for DofTransformation here since spaces are H1 or L2. + fespace->GetElementVDofs(e, vdofs); + nodes->GetSubVector(vdofs, loc_vec); + new_fespace->GetElementVDofs(!elem_delete_map ? e : (*elem_delete_map)[e], new_vdofs); + new_nodes->SetSubVector(new_vdofs, loc_vec); + } + } +} + +void CleanMesh(std::unique_ptr &orig_mesh, + const std::vector &mat_attr_list, bool preserve_curvature) +{ + auto mat_marker = mesh::AttrToMarker( + orig_mesh->attributes.Size() ? orig_mesh->attributes.Max() : 0, mat_attr_list, true); + std::vector elem_delete_map(orig_mesh->GetNE(), -1), + bdr_elem_delete_map(orig_mesh->GetNBE(), -1); + + // Delete domain and boundary elements which have no associated material or BC attribute + // from the mesh. + int new_ne = 0; + for (int e = 0; e < orig_mesh->GetNE(); e++) + { + if (mat_marker[orig_mesh->GetAttribute(e) - 1]) + { + elem_delete_map[e] = new_ne++; + } + } + + // Make sure to remove any boundary elements which are no longer attached to elements in + // the domain. + int new_nbe = 0; + for (int be = 0; be < orig_mesh->GetNBE(); be++) + { + int f, o, e1, e2; + orig_mesh->GetBdrElementFace(be, &f, &o); + orig_mesh->GetFaceElements(f, &e1, &e2); + bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); + bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); + if (!no_e1 || !no_e2) + { + bdr_elem_delete_map[be] = new_nbe++; + } + else if constexpr (false) + { + Mpi::Print("Deleting an unattached boundary element!\n"); + } + } + if (new_ne < orig_mesh->GetNE()) + { + Mpi::Print("Removed {:d} unmarked domain elements from the mesh\n", + orig_mesh->GetNE() - new_ne); + } + if (new_nbe < orig_mesh->GetNBE()) + { + Mpi::Print("Removed {:d} unattached boundary elements from the mesh\n", + orig_mesh->GetNBE() - new_nbe); + } + + // Create the new mesh. + if (new_ne == orig_mesh->GetNE() && new_nbe == orig_mesh->GetNBE()) + { + return; + } + MFEM_VERIFY(!orig_mesh->Nonconforming(), + "Mesh element cleaning is not supported for nonconforming meshes!"); + auto new_mesh = + std::make_unique(orig_mesh->Dimension(), orig_mesh->GetNV(), new_ne, + new_nbe, orig_mesh->SpaceDimension()); + + // Copy vertices and non-deleted domain and boundary elements. + for (int v = 0; v < orig_mesh->GetNV(); v++) + { + new_mesh->AddVertex(orig_mesh->GetVertex(v)); + } + for (int e = 0; e < orig_mesh->GetNE(); e++) + { + if (elem_delete_map[e] >= 0) + { + mfem::Element *el = orig_mesh->GetElement(e)->Duplicate(new_mesh.get()); + new_mesh->AddElement(el); + } + } + for (int be = 0; be < orig_mesh->GetNBE(); be++) + { + if (bdr_elem_delete_map[be] >= 0) + { + mfem::Element *el = orig_mesh->GetBdrElement(be)->Duplicate(new_mesh.get()); + new_mesh->AddBdrElement(el); + } + } + + // Finalize new mesh and replace the old one. If a curved mesh, set up the new mesh by + // projecting nodes onto the new mesh for the non-trimmed vdofs. After we have copied the + // high-order nodes information, topological changes in Mesh::Finalize are OK. No need to + // mark for refinement or fix orientations, since everything is copied from the previous + // mesh. + constexpr bool generate_bdr = false, refine = false, fix_orientation = false; + new_mesh->FinalizeTopology(generate_bdr); + new_mesh->RemoveUnusedVertices(); + if (orig_mesh->GetNodes()) + { + TransferHighOrderNodes(*orig_mesh, *new_mesh, &elem_delete_map); + } + + new_mesh->Finalize(refine, fix_orientation); // XX TODO UNSURE IF NEEDED... + + orig_mesh = std::move(new_mesh); +} + mfem::Mesh MeshTetToHex(const mfem::Mesh &orig_mesh) { // Courtesy of https://gist.github.com/pazner/e9376f77055c0918d7c43e034e9e5888, only @@ -1852,7 +2007,10 @@ mfem::Mesh MeshTetToHex(const mfem::Mesh &orig_mesh) // but we fix orientations for the new elements as needed. constexpr bool generate_bdr = false, refine = false, fix_orientation = true; hex_mesh.FinalizeTopology(generate_bdr); - hex_mesh.Finalize(refine, fix_orientation); + + hex_mesh.Finalize(refine, fix_orientation); // XX TODO MOVE FINALIZATION TO LATER?? + // MakeSimplicial does not do this + return hex_mesh; } @@ -1902,6 +2060,10 @@ void SplitMeshElements(std::unique_ptr &orig_mesh, bool make_simplex Mpi::Print("Added {:d} elements to the mesh during conversion to simplices\n", new_mesh.GetNE() - ne); mesh = &new_mesh; + + // //XX OTDO PRINT A MESSAEG HERE + // Mpi::Print("Removed {:d} unattached boundary elements from the mesh\n", + // orig_mesh->GetNBE() - new_nbe); } } @@ -1926,6 +2088,10 @@ void SplitMeshElements(std::unique_ptr &orig_mesh, bool make_simplex Mpi::Print("Added {:d} elements to the mesh during conversion to hexahedra\n", new_mesh.GetNE() - ne); mesh = &new_mesh; + + // //XX OTDO PRINT A MESSAEG HERE + // Mpi::Print("Removed {:d} unattached boundary elements from the mesh\n", + // orig_mesh->GetNBE() - new_nbe); } } @@ -2067,13 +2233,16 @@ void SplitMeshElements(std::unique_ptr &orig_mesh, bool make_simplex "Unexpected size mismatch for nodes!"); new_mesh.SetNodes(new_nodes); } + + // constexpr bool refine = false, fix_orientation = false; + // new_mesh.Finalize(refine, fix_orientation); //XX TODO UNSURE IF NEEDED... + orig_mesh = std::make_unique(std::move(new_mesh)); // Call move constructor } void ReorderMeshElements(mfem::Mesh &mesh, bool print) { mfem::Array ordering; - if constexpr (false) { // Gecko reordering. @@ -2096,80 +2265,26 @@ void ReorderMeshElements(mfem::Mesh &mesh, bool print) Mpi::Print("Final cost: {:e}\n", best_cost); } } - - // (Faster) Hilbert reordering. - mesh.GetHilbertElementOrdering(ordering); - mesh.ReorderElements(ordering); -} - -void CheckMesh(std::unique_ptr &orig_mesh, - const std::vector &mat_attr_list, const std::vector &bdr_attr_list, - bool clean_elem, const std::vector &crack_bdr_attr_list, - bool add_bdr_elem) -{ - // - Check that all external boundaries of the mesh have a corresponding boundary - // condition. - // - If desired, create a new mesh which has removed all domain elements which do not have - // an associated material property specified in the input file, as well as any resulting - // hanging boundary elements. - // - If desired, create a new mesh which has added boundary elements for all exterior - // boundaries and material interfaces if these elements do not yet exist. - // - If desired, create a new mesh where internal boundary elements corresponding to - // certain attributes are "cracked", decoupling the elements on either side. - MFEM_VERIFY(orig_mesh->Dimension() == 3 && !orig_mesh->Nonconforming(), - "Nonconforming or 2D meshes have not been tested yet!"); - MFEM_VERIFY(dynamic_cast(orig_mesh.get()) == nullptr, - "This function does not work for ParMesh"); - auto mat_marker = mesh::AttrToMarker( - orig_mesh->attributes.Size() ? orig_mesh->attributes.Max() : 0, mat_attr_list, true); - auto bdr_marker = mesh::AttrToMarker( - orig_mesh->bdr_attributes.Size() ? orig_mesh->bdr_attributes.Max() : 0, bdr_attr_list, - true); + else { - std::unordered_set bdr_warn_list; - for (int be = 0; be < orig_mesh->GetNBE(); be++) - { - int attr = orig_mesh->GetBdrAttribute(be); - if (!bdr_marker[attr - 1]) - { - int f, o, e1, e2; - orig_mesh->GetBdrElementFace(be, &f, &o); - orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = - (e1 < 0 || (clean_elem && !mat_marker[orig_mesh->GetAttribute(e1) - 1])); - bool no_e2 = - (e2 < 0 || (clean_elem && !mat_marker[orig_mesh->GetAttribute(e2) - 1])); - if ((no_e1 || no_e2) && !(clean_elem && no_e1 && no_e2)) - { - // No warning for internal boundary elements, and also no warning for boundary - // elements which will get deleted. - bdr_warn_list.insert(attr); - } - } - } - if (!bdr_warn_list.empty()) - { - Mpi::Warning("One or more external boundary attributes has no associated boundary " - "condition!\n\"PMC\"/\"ZeroCharge\" condition is assumed!"); - utils::PrettyPrint(bdr_warn_list, "Boundary attribute list:"); - Mpi::Print("\n"); - } + // (Faster) Hilbert reordering. + mesh.GetHilbertElementOrdering(ordering); + mesh.ReorderElements(ordering); } +} - // Mapping from new interface boundary attribute tags to vector of neighboring domain - // attributes (when adding new boundary elements). - if (!clean_elem && crack_bdr_attr_list.empty() && !add_bdr_elem) +int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, + const std::vector &crack_bdr_attr_list, bool add_bdr_elem) +{ + // Return if nothing to do. Otherwise, count vertices and boundary elements to add. + if (crack_bdr_attr_list.empty() && !add_bdr_elem) { - return; + return 1; // Success } - - // Count deleted or added domain and boundary elements. int new_nv = orig_mesh->GetNV(); - int new_ne = orig_mesh->GetNE(); int new_nbe = orig_mesh->GetNBE(); - std::vector elem_delete_map(orig_mesh->GetNE(), -1), - bdr_elem_delete_map(orig_mesh->GetNBE(), -1); - std::unordered_map face_to_be; + + std::unordered_map face_to_be; // XX TODO CONSTRUCT ONCE FOR ALL? face_to_be.reserve(orig_mesh->GetNBE()); for (int be = 0; be < orig_mesh->GetNBE(); be++) { @@ -2180,96 +2295,35 @@ void CheckMesh(std::unique_ptr &orig_mesh, face_to_be[f] = be; } - // Delete domain and boundary elements which have no associated material or BC attribute - // from the mesh. - if (clean_elem) - { - new_ne = 0; - for (int e = 0; e < orig_mesh->GetNE(); e++) - { - if (mat_marker[orig_mesh->GetAttribute(e) - 1]) - { - elem_delete_map[e] = new_ne++; - } - } - - // Make sure to remove any boundary elements which are no longer attached to elements in - // the domain. - new_nbe = 0; - for (int be = 0; be < orig_mesh->GetNBE(); be++) - { - int f, o, e1, e2; - orig_mesh->GetBdrElementFace(be, &f, &o); - orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); - bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); - if (!no_e1 || !no_e2) - { - bdr_elem_delete_map[be] = new_nbe++; - } - else - { - // Mpi::Print("Deleting an unattached boundary element!\n"); - } - } - if (new_ne < orig_mesh->GetNE()) - { - Mpi::Print("Removed {:d} unmarked domain elements from the mesh\n", - orig_mesh->GetNE() - new_ne); - } - if (new_nbe < orig_mesh->GetNBE()) - { - Mpi::Print("Removed {:d} unattached boundary elements from the mesh\n", - orig_mesh->GetNBE() - new_nbe); - } - } - int new_ne_step_1 = new_ne; - int new_nbe_step_1 = new_nbe; - // Duplicate internal boundary elements from the given boundary attribute list, cracking // the mesh such that domain elements on either side are no longer coupled. Correctly // handles cracks where more than two domains intersect as well as seams where a crack // ends and the vertices are not duplicated. + std::unordered_set crack_bdr_elem; std::unordered_map>>> crack_vert_duplicates; - std::unordered_set crack_bdr_elem; std::unique_ptr vert_to_elem, vert_to_bdr_elem; if (!crack_bdr_attr_list.empty()) { - MFEM_VERIFY(!orig_mesh->Nonconforming(), "Adding material interface boundary elements " - "is not supported for nonconforming meshes!"); auto crack_bdr_marker = mesh::AttrToMarker( orig_mesh->bdr_attributes.Size() ? orig_mesh->bdr_attributes.Max() : 0, crack_bdr_attr_list, true); for (int be = 0; be < orig_mesh->GetNBE(); be++) { - if (crack_bdr_marker[orig_mesh->GetBdrAttribute(be) - 1] && - bdr_elem_delete_map[be] >= 0) + if (crack_bdr_marker[orig_mesh->GetBdrAttribute(be) - 1]) { int f, o, e1, e2; orig_mesh->GetBdrElementFace(be, &f, &o); orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); - bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); - if (!no_e1 && !no_e2) + if (e1 >= 0 && e2 >= 0) { - // Crack elements are deleted here, and added the pair of new ones is added later. - bdr_elem_delete_map[be] = -1; crack_bdr_elem.insert(be); } } } - { - // Finalize bdr_elem_delete_map updates. - int count = 0; - for (int be = 0; be < orig_mesh->GetNBE(); be++) - { - if (bdr_elem_delete_map[be] >= 0) - { - bdr_elem_delete_map[be] = count++; - } - } - } + MFEM_VERIFY(crack_bdr_elem.empty() || !orig_mesh->Nonconforming(), + "Duplicating internal boundary elements for interior boundaries is not " + "supported for nonconforming meshes!"); vert_to_elem.reset(orig_mesh->GetVertexToElementTable()); // Owned by caller vert_to_bdr_elem.reset(orig_mesh->GetVertexToBdrElementTable()); // Owned by caller @@ -2277,10 +2331,11 @@ void CheckMesh(std::unique_ptr &orig_mesh, int new_nv_dups = 0; for (auto be : crack_bdr_elem) { - const int *verts = orig_mesh->GetBdrElement(be)->GetVertices(); - for (int i = 0; i < orig_mesh->GetBdrElement(be)->GetNVertices(); i++) + const mfem::Element *bdr_el = orig_mesh->GetBdrElement(be); + const int *verts = bdr_el->GetVertices(); + for (int i = 0; i < bdr_el->GetNVertices(); i++) { - // Skip already processed vertices. + // Skip vertices we have already processed. const auto v = verts[i]; if (crack_vert_duplicates.find(v) != crack_vert_duplicates.end()) { @@ -2292,16 +2347,7 @@ void CheckMesh(std::unique_ptr &orig_mesh, // determined by face connectivity excluding the crack faces. std::vector> components; const int *elems = vert_to_elem->GetRow(v); - std::unordered_set unvisited; - unvisited.reserve(vert_to_elem->RowSize(v)); - for (int j = 0; j < vert_to_elem->RowSize(v); j++) - { - if (elem_delete_map[elems[j]] >= 0) - { - unvisited.insert(elems[j]); - } - } - const auto nbr_size = unvisited.size(); + std::unordered_set unvisited(elems, elems + vert_to_elem->RowSize(v)); while (!unvisited.empty()) { auto &component = components.emplace_back(); @@ -2322,7 +2368,7 @@ void CheckMesh(std::unique_ptr &orig_mesh, { const auto f = faces[j]; { - const auto it = face_to_be.find(f); + auto it = face_to_be.find(f); if (it != face_to_be.end() && crack_bdr_elem.find(it->second) != crack_bdr_elem.end()) { @@ -2336,8 +2382,8 @@ void CheckMesh(std::unique_ptr &orig_mesh, e == e1 || e == e2, "Unexpected face-element connectivity in internal boundary cracking!"); int nbr = (e == e1) ? e2 : e1; - const auto it = unvisited.find(nbr); - if (nbr >= 0 && elem_delete_map[nbr] >= 0 && it != unvisited.end()) + auto it = unvisited.find(nbr); + if (nbr >= 0 && it != unvisited.end()) { que.push(nbr); unvisited.erase(it); @@ -2348,30 +2394,85 @@ void CheckMesh(std::unique_ptr &orig_mesh, MFEM_VERIFY( !components.empty(), "No connected components found for elements adjacent to a crack vertex!"); +#if defined(MFEM_DEBUG) { std::size_t visited_size = 0; for (const auto &component : components) { visited_size += component.size(); } - MFEM_VERIFY(visited_size == nbr_size, + MFEM_VERIFY(visited_size == vert_to_elem->RowSize(v), "Failed to visit all elements in neighborhood of vertex when " "counting connected components!"); } +#endif // Save mapping from original vertex to duplicate vertices, and the corresponding // element groupings requiring renumbering. The first group doesn't need - // renumbering so is not saved. We also store a set of all modified domain elements - // around the crack. - if (components.size() > 1) + // renumbering so is not saved. We still keep entries for non-duplicated crack + // vertices in the set to track them as processed, however. + auto &vert_components = crack_vert_duplicates.try_emplace(v).first->second; + for (auto it = components.begin() + 1; it != components.end(); it++) + { + vert_components.emplace_back(-1, std::move(*it)); + new_nv_dups++; + } + } + } + + // After processing all boundary elements, check if there are any elements which have + // all seam vertices (non-duplicated vertices attached to crack boundary elements). + // In order to correctly crack the internal boundary, these elements need to be refined. + { + std::set elem_to_refine; + for (auto be : crack_bdr_elem) + { + bool mark_bdr_elem = true; + const mfem::Element *bdr_el = orig_mesh->GetBdrElement(be); + const int *verts = bdr_el->GetVertices(); + for (int i = 0; i < bdr_el->GetNVertices(); i++) { - auto &vert_components = crack_vert_duplicates.try_emplace(v).first->second; - for (auto it = components.begin() + 1; it != components.end(); it++) + const auto v = verts[i]; + if (!crack_vert_duplicates[v].empty()) { - vert_components.emplace_back(-1, std::move(*it)); - new_nv_dups++; + mark_bdr_elem = false; + break; } } + if (mark_bdr_elem) + { + int f, o, e1, e2; + orig_mesh->GetBdrElementFace(be, &f, &o); + orig_mesh->GetFaceElements(f, &e1, &e2); + elem_to_refine.insert(e1); + elem_to_refine.insert(e2); + } + } + if (!elem_to_refine.empty()) + { + // Locally refine the mesh using conformal refinement. If necessary, convert the + // mesh to simplices first to enable conforming refinement (this will do nothing + // if the mesh is already a simplex mesh). + // Note: Eventually we can implement manual conforming face refinement of pairs + // of all elements types (insert a vertex at the boundary element center and connect + // it to all other element vertices). For now, this is a bit confusing to implement. + int ne = orig_mesh->GetNE(); + SplitMeshElements(orig_mesh, true, false); + if (ne != orig_mesh->GetNE()) + { + return 0; // Mesh was converted to simplices, start over + } + mfem::Array refinements; + refinements.Reserve(elem_to_refine.size()); + for (auto e : elem_to_refine) + { + refinements.Append(mfem::Refinement(e)); + } + orig_mesh->GeneralRefinement(refinements, 0); + + // XX TODO PRINT A MESSAGE HERE!! + + return 0; // Mesh was refined (conformally), start over } } @@ -2386,42 +2487,46 @@ void CheckMesh(std::unique_ptr &orig_mesh, crack_bdr_elem.size()); } } - int new_ne_step_2 = new_ne; - int new_nbe_step_2 = new_nbe; // Add new boundary elements at material interfaces or on the exterior boundary of the // simulation domain, if there is not already a boundary element present. std::unordered_map new_face_bdr_elem; if (add_bdr_elem) { - MFEM_VERIFY(!orig_mesh->Nonconforming(), "Adding material interface boundary elements " - "is not supported for nonconforming meshes!"); int new_nbe_ext = 0, new_nbe_int = 0; for (int f = 0; f < orig_mesh->GetNumFaces(); f++) { - // No need to check if the face corresponds to a deleted boundary element, since we - // skip all boundary elements. + // Skip all faces which already have an associated boundary element (this includes + // any boundary elements which were duplicated during cracking in the previous step). if (face_to_be.find(f) != face_to_be.end()) { continue; } int e1, e2; orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); - bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); - if ((no_e1 || no_e2) && !(no_e1 && no_e2)) + if (e1 < 0 || e2 < 0) { - // Mpi::Print("Adding exterior boundary element!\n"); + if constexpr (false) + { + Mpi::Print("Adding exterior boundary element!\n"); + } new_face_bdr_elem[f] = 1; new_nbe_ext++; } else if (orig_mesh->GetAttribute(e1) != orig_mesh->GetAttribute(e2)) { - // Mpi::Print("Adding material interface boundary element!\n"); + if constexpr (false) + { + Mpi::Print("Adding material interface boundary element!\n"); + } new_face_bdr_elem[f] = 1; new_nbe_int++; } } + MFEM_VERIFY(new_nbe_ext + new_nbe_int == 0 || !orig_mesh->Nonconforming(), + "Adding material interface boundary elements is not supported for " + "nonconforming meshes!"); + new_nbe += (new_nbe_ext + new_nbe_int); if (new_nbe_ext > 0) { @@ -2435,41 +2540,35 @@ void CheckMesh(std::unique_ptr &orig_mesh, } } - // Create the new mesh. - if (new_nv == orig_mesh->GetNV() && new_ne == new_ne_step_2 && - new_ne_step_2 == new_ne_step_1 && new_ne_step_1 == orig_mesh->GetNE() && - new_nbe == new_nbe_step_2 && new_nbe_step_2 == new_nbe_step_1 && - new_nbe_step_1 == orig_mesh->GetNBE()) + // Create the new mesh. We can't just add the new vertices and boundary elements to the + // original mesh, because we need to keep it around in order to transfer the high-order + // nodes information to the new mesh. + if (new_nv == orig_mesh->GetNV() && new_nbe == orig_mesh->GetNBE()) { - return; + return 1; // Success } - auto new_mesh = std::make_unique(orig_mesh->Dimension(), new_nv, new_ne, - new_nbe, orig_mesh->SpaceDimension()); + auto new_mesh = + std::make_unique(orig_mesh->Dimension(), new_nv, orig_mesh->GetNE(), + new_nbe, orig_mesh->SpaceDimension()); - // Copy vertices and non-deleted domain and boundary elements. + // Copy vertices and domain and boundary elements. for (int v = 0; v < orig_mesh->GetNV(); v++) { new_mesh->AddVertex(orig_mesh->GetVertex(v)); } for (int e = 0; e < orig_mesh->GetNE(); e++) { - if (elem_delete_map[e] >= 0) - { - mfem::Element *el = orig_mesh->GetElement(e)->Duplicate(new_mesh.get()); - new_mesh->AddElement(el); - } + mfem::Element *el = orig_mesh->GetElement(e)->Duplicate(new_mesh.get()); + new_mesh->AddElement(el); } for (int be = 0; be < orig_mesh->GetNBE(); be++) { - if (bdr_elem_delete_map[be] >= 0) - { - mfem::Element *el = orig_mesh->GetBdrElement(be)->Duplicate(new_mesh.get()); - new_mesh->AddBdrElement(el); - } + mfem::Element *bdr_el = orig_mesh->GetBdrElement(be)->Duplicate(new_mesh.get()); + new_mesh->AddBdrElement(bdr_el); } - // Add duplicated vertices from interior boundary cracking, renumber domain and boundary - // elements to tear the mesh, and add new crack boundary elements. + // Add duplicated vertices from interior boundary cracking, renumber the vertices of + // domain and boundary elements to tear the mesh, and add new crack boundary elements. if (!crack_bdr_attr_list.empty()) { // Add duplicate vertices. We assign the vertex number of the duplicated vertex in order @@ -2486,27 +2585,26 @@ void CheckMesh(std::unique_ptr &orig_mesh, { for (const auto &[orig_v, vert_components] : crack_vert_duplicates) { + if (vert_components.empty()) + { + continue; // Can skip vertices which were not duplicated + } { const int *elems = vert_to_elem->GetRow(orig_v); for (int i = 0; i < vert_to_elem->RowSize(orig_v); i++) { // Find vertex in the element. const auto e = elems[i]; - const auto new_e = elem_delete_map[e]; - if (new_e < 0) - { - continue; - } - int *verts = new_mesh->GetElement(new_e)->GetVertices(), j; - for (j = 0; j < new_mesh->GetElement(new_e)->GetNVertices(); j++) + mfem::Element *el = new_mesh->GetElement(e); + int *verts = el->GetVertices(), j; + for (j = 0; j < el->GetNVertices(); j++) { if (verts[j] == orig_v) { break; } } - MFEM_VERIFY(j < new_mesh->GetElement(new_e)->GetNVertices(), - "Unable to locate vertex in element!"); + MFEM_VERIFY(j < el->GetNVertices(), "Unable to locate vertex in element!"); // Find the correct duplicate for this vertex. It's OK if the element is not in // any of the connected components, this indicates that it keeps the original @@ -2525,38 +2623,35 @@ void CheckMesh(std::unique_ptr &orig_mesh, const int *bdr_elems = vert_to_bdr_elem->GetRow(orig_v); for (int i = 0; i < vert_to_bdr_elem->RowSize(orig_v); i++) { - // Find vertex in the boundary element. - if (bdr_elem_delete_map[bdr_elems[i]] < 0) - { - continue; - } + // Find vertex in the boundary element. These are the original boundary elements + // in the mesh. For the crack boundary elements, we renumber the nodes + // according to the neighboring element 1, and attach the duplicate to element + // 2. const auto be = bdr_elems[i]; - const auto new_be = bdr_elem_delete_map[be]; - int *verts = new_mesh->GetBdrElement(new_be)->GetVertices(), j; - for (j = 0; j < new_mesh->GetBdrElement(new_be)->GetNVertices(); j++) + mfem::Element *bdr_el = new_mesh->GetBdrElement(be); + int *verts = bdr_el->GetVertices(), j; + for (j = 0; j < bdr_el->GetNVertices(); j++) { if (verts[j] == orig_v) { break; } } - MFEM_VERIFY(j < new_mesh->GetBdrElement(new_be)->GetNVertices(), - "Unable to locate vertex in element!"); + MFEM_VERIFY(j < bdr_el->GetNVertices(), + "Unable to locate vertex in boundary element!"); // Find the correct duplicate for this vertex. Use the neighboring elements, - // which must be part of the same connected component. Again, it is OK if the - // element is not in any of the connected components, this indicates that it - // keeps the original vertex and its connectivity is unmodified. + // which must be part of the same connected component if not on the crack. + // Again, it is OK if the element is not in any of the connected components, + // this indicates that it keeps the original vertex and its connectivity is + // unmodified. int f, o, e1, e2; orig_mesh->GetBdrElementFace(be, &f, &o); orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); - bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); - MFEM_VERIFY(!(no_e1 && no_e2), "Boundary element with no attached elements!"); - int e = no_e1 ? e2 : e1; + MFEM_VERIFY(e1 >= 0, "Boundary element with no attached elements!"); for (const auto &[dup_v, component] : vert_components) { - if (component.find(e) != component.end()) + if (component.find(e1) != component.end()) { verts[j] = dup_v; break; @@ -2567,41 +2662,36 @@ void CheckMesh(std::unique_ptr &orig_mesh, } } - // Finally, we insert the new boundary elements for the crack interface. + // Finally, we insert the new duplicate boundary elements for the crack interface. const mfem::Table &elem_to_face = orig_mesh->ElementToFaceTable(); for (auto be : crack_bdr_elem) { + // Find index of the crack face in the old element, which should be the same as in + // the new (torn) element. int f, o, e1, e2; orig_mesh->GetBdrElementFace(be, &f, &o); orig_mesh->GetFaceElements(f, &e1, &e2); - MFEM_VERIFY(e1 >= 0 && elem_delete_map[e1] >= 0 && e2 >= 0 && - elem_delete_map[e2] >= 0, - "Incorrect labeling of interior crack boundary element!"); - for (int e : {e1, e2}) - { - // Find index of the crack face in the old element, which should be the same as in - // the new (torn) element. - const int *faces = elem_to_face.GetRow(e); - int i; - for (i = 0; i < elem_to_face.RowSize(e); i++) + const int *faces = elem_to_face.GetRow(e2); + int i; + for (i = 0; i < elem_to_face.RowSize(e2); i++) + { + if (faces[i] == f) { - if (faces[i] == f) - { - break; - } + break; } - MFEM_VERIFY(i < elem_to_face.RowSize(e), "Unable to locate face in element!"); + } + MFEM_VERIFY(i < elem_to_face.RowSize(e2), "Unable to locate face in element!"); - // Add the interface boundary element. - mfem::Element *bdr_el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); - bdr_el->SetAttribute(orig_mesh->GetBdrAttribute(be)); - const mfem::Element *el = new_mesh->GetElement(elem_delete_map[e]); - for (int j = 0; j < bdr_el->GetNVertices(); j++) - { - bdr_el->GetVertices()[j] = el->GetVertices()[el->GetFaceVertices(i)[j]]; - } - new_mesh->AddBdrElement(bdr_el); + // Add the interface boundary element attached to element 2 (the other part of the + // pair has been attached to element 1 in the previous step). + mfem::Element *bdr_el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); + bdr_el->SetAttribute(orig_mesh->GetBdrAttribute(be)); + const mfem::Element *el = new_mesh->GetElement(e2); + for (int j = 0; j < bdr_el->GetNVertices(); j++) + { + bdr_el->GetVertices()[j] = el->GetVertices()[el->GetFaceVertices(i)[j]]; } + new_mesh->AddBdrElement(bdr_el); } } @@ -2612,7 +2702,7 @@ void CheckMesh(std::unique_ptr &orig_mesh, // original mesh, but to keep attributes the same as config file we don't compress the // list. const mfem::Table &elem_to_face = orig_mesh->ElementToFaceTable(); - int max_bdr_attr = + int bdr_attr_max = orig_mesh->bdr_attributes.Size() ? orig_mesh->bdr_attributes.Max() : 0; for (int f = 0; f < orig_mesh->GetNumFaces(); f++) { @@ -2624,48 +2714,40 @@ void CheckMesh(std::unique_ptr &orig_mesh, // https://en.wikipedia.org/wiki/Pairing_function. int e1, e2, a = 0, b = 0; orig_mesh->GetFaceElements(f, &e1, &e2); - bool no_e1 = (e1 < 0 || elem_delete_map[e1] < 0); - bool no_e2 = (e2 < 0 || elem_delete_map[e2] < 0); - if (!no_e1 && !no_e2) + if (e1 >= 0 && e2 >= 0) { a = std::max(orig_mesh->GetAttribute(e1), orig_mesh->GetAttribute(e2)); b = (a == orig_mesh->GetAttribute(e1)) ? orig_mesh->GetAttribute(e2) : orig_mesh->GetAttribute(e1); } - else if (!no_e1) + else // e1 >= 0 { a = orig_mesh->GetAttribute(e1); b = 0; } - else if (!no_e2) - { - a = orig_mesh->GetAttribute(e2); - b = 0; - } MFEM_VERIFY(a + b > 0, "Invalid new boundary element attribute!"); int new_attr = - max_bdr_attr + (((a + b) * (a + b + 1)) / 2) + a; // At least max_bdr_attr + 1 + bdr_attr_max + (((a + b) * (a + b + 1)) / 2) + a; // At least bdr_attr_max + 1 // Add the boundary elements with the new boundary attribute. The element vertices // may have been renumbered in the new mesh, so the new face is not necessarily // just a duplicate of the old one. First we find the index of the face in the old // element, which should match the new element. - int e = no_e1 ? e2 : e1; - const int *faces = elem_to_face.GetRow(e); + const int *faces = elem_to_face.GetRow(e1); int i; - for (i = 0; i < elem_to_face.RowSize(e); i++) + for (i = 0; i < elem_to_face.RowSize(e1); i++) { if (faces[i] == f) { break; } } - MFEM_VERIFY(i < elem_to_face.RowSize(e), "Unable to locate face in element!"); + MFEM_VERIFY(i < elem_to_face.RowSize(e1), "Unable to locate face in element!"); // Now add the boundary element(s). mfem::Element *bdr_el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); bdr_el->SetAttribute(new_attr); - const mfem::Element *el = new_mesh->GetElement(elem_delete_map[e]); + const mfem::Element *el = new_mesh->GetElement(e1); for (int j = 0; j < bdr_el->GetNVertices(); j++) { bdr_el->GetVertices()[j] = el->GetVertices()[el->GetFaceVertices(i)[j]]; @@ -2695,48 +2777,85 @@ void CheckMesh(std::unique_ptr &orig_mesh, } } - // Finalize new mesh and replace the old one. If a curved mesh, set up the new mesh by - // projecting nodes onto the new mesh for the non-trimmed vdofs (accounts for new - // boundary elements too since no new dofs are added). See the MFEM trimmer miniapp for - // reference. After we have copied the high-order nodes information, topological changes - // in Mesh::Finalize are OK. No need to mark for refinement or fix orientations, since - // everything is copied from the previous mesh. + // Finalize new mesh, and copy mesh curvature information if needed. constexpr bool generate_bdr = false, refine = false, fix_orientation = false; new_mesh->FinalizeTopology(generate_bdr); new_mesh->RemoveUnusedVertices(); if (orig_mesh->GetNodes()) { - const mfem::GridFunction *nodes = orig_mesh->GetNodes(); - const mfem::FiniteElementSpace *fespace = nodes->FESpace(); - mfem::Ordering::Type ordering = fespace->GetOrdering(); - int order = fespace->GetMaxElementOrder(); - int sdim = orig_mesh->SpaceDimension(); - bool discont = - (dynamic_cast(fespace->FEColl()) != nullptr); - new_mesh->SetCurvature(order, discont, sdim, ordering); - mfem::GridFunction *new_nodes = new_mesh->GetNodes(); - const mfem::FiniteElementSpace *new_fespace = new_nodes->FESpace(); + TransferHighOrderNodes(*orig_mesh, *new_mesh); + } - // The element loop works because we know the mapping from old_mesh to new_mesh element - // indices from the insertion order. - mfem::Array vdofs; - mfem::Vector loc_vec; - int te = 0; - for (int e = 0; e < orig_mesh->GetNE(); e++) + new_mesh->Finalize(refine, fix_orientation); // XX TODO UNSURE IF NEEDED... + + orig_mesh = std::move(new_mesh); + return 1; // Success +} + +void CheckMesh(const mfem::Mesh &mesh, const std::vector &bdr_attr_list, + int orig_bdr_attr_max) +{ + // Check for: + // (1) Boundary elements with no prescribed boundary condition, and + // (2) Boundary faces which have no boundary element. + + + + + std::unordered_map face_to_be; // XX TODO CONSTRUCT ONCE FOR ALL? + face_to_be.reserve(mesh.GetNBE()); + for (int be = 0; be < mesh.GetNBE(); be++) + { + int f, o; + mesh.GetBdrElementFace(be, &f, &o); + MFEM_VERIFY(face_to_be.find(f) == face_to_be.end(), + "Mesh should not define boundary elements multiple times!"); + face_to_be[f] = be; + } + + + + + auto bdr_marker = mesh::AttrToMarker( + mesh.bdr_attributes.Size() ? mesh.bdr_attributes.Max() : 0, bdr_attr_list, true); + std::unordered_set bdr_warn_list; + bool bdr_face_warn = false; + for (int f = 0; f < mesh.GetNumFaces(); f++) + { + int e1, e2; + mesh.GetFaceElements(f, &e1, &e2); + if (e1 >= 0 && e2 >= 0) + { + continue; // Only consider true exterior faces + } + auto it = face_to_be.find(f); + if (it != face_to_be.end()) { - if (elem_delete_map[e] >= 0) + int attr = mesh.GetBdrAttribute(it->second); + if (attr <= orig_bdr_attr_max && !bdr_marker[attr - 1]) { - // No need for DofTransformation here since spaces are H1 or L2. - fespace->GetElementVDofs(e, vdofs); - nodes->GetSubVector(vdofs, loc_vec); - new_fespace->GetElementVDofs(te, vdofs); - new_nodes->SetSubVector(vdofs, loc_vec); - te++; + // Boundary element with no prescribed boundary condition. + bdr_warn_list.insert(attr); } } + else + { + // Boundary face with no attached boundary element. + bdr_face_warn = true; + } + } + if (!bdr_warn_list.empty()) + { + Mpi::Warning("One or more external boundary attributes has no associated boundary " + "condition!\n\"PMC\"/\"ZeroCharge\" condition is assumed!"); + utils::PrettyPrint(bdr_warn_list, "Boundary attribute list:"); + Mpi::Print("\n"); + } + if (bdr_face_warn) + { + Mpi::Warning( + "Mesh faces with no associated boundary element exist on the domain boundary!"); } - new_mesh->Finalize(refine, fix_orientation); - orig_mesh = std::move(new_mesh); } std::unique_ptr GetMeshPartitioning(const mfem::Mesh &mesh, int size, From cf57621592db09137f06906b73b5cad9d847c48e Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Fri, 31 May 2024 17:30:18 -0700 Subject: [PATCH 06/24] Address some lingering TODO items and print status messages --- palace/utils/geodata.cpp | 210 +++++++++++++++++---------------------- 1 file changed, 91 insertions(+), 119 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 0a401103a..1dc374413 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -54,13 +54,14 @@ void SplitMeshElements(std::unique_ptr &, bool, bool, bool = true); // cache usage. void ReorderMeshElements(mfem::Mesh &, bool = true); +// Check that mesh boundary conditions are given for external boundaries. +std::unordered_map CheckMesh(const mfem::Mesh &, const std::vector &); + // Adding boundary elements for material interfaces and exterior boundaries, and "crack" // desired internal boundary elements to disconnect the elements on either side. -int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, - const std::vector &crack_bdr_attr_list, bool add_bdr_elem); - -// Check that mesh boundary conditions are given for external boundaries. -void CheckMesh(const mfem::Mesh &, const std::vector &, int); +int AddInterfaceBdrElements(std::unique_ptr &, + const std::vector &, bool, + const std::unordered_map &); // Generate element-based mesh partitioning, using either a provided file or METIS. std::unique_ptr GetMeshPartitioning(const mfem::Mesh &, int, @@ -168,10 +169,13 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) } } + // Check the final mesh, throwing warnings if there are exterior boundaries with no + // associated boundary condition. + const auto face_to_be = CheckMesh(*smesh, iodata.boundaries.attributes); + // Add new boundary elements for material interfaces if not present (with new unique // boundary attributes). Also duplicate internal boundary elements associated with // cracks if desired. - int orig_bdr_attr_max = smesh->bdr_attributes.Size() ? smesh->bdr_attributes.Max() : 0; if (iodata.model.crack_bdr_elements || iodata.model.add_bdr_elements) { std::vector crack_bdr_attr_list; @@ -186,15 +190,13 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) { // May require multiple calls due to early exit/retry approach. success = AddInterfaceBdrElements(smesh, crack_bdr_attr_list, - iodata.model.add_bdr_elements); + iodata.model.add_bdr_elements, face_to_be); } } - // Check the final mesh, throwing warnings if there are exterior boundaries with no - // associated boundary condition. - CheckMesh(*smesh, iodata.boundaries.attributes, orig_bdr_attr_max); - // XX TODO FINALIZE THE MESH HERE ONCE AND FOR ALL IF MODIFIED? + constexpr bool refine = false, fix_orientation = false; + smesh->Finalize(refine, fix_orientation); // Generate the mesh partitioning. partitioning = GetMeshPartitioning(*smesh, Mpi::Size(comm), iodata.model.partitioning); @@ -1874,16 +1876,16 @@ void CleanMesh(std::unique_ptr &orig_mesh, // high-order nodes information, topological changes in Mesh::Finalize are OK. No need to // mark for refinement or fix orientations, since everything is copied from the previous // mesh. - constexpr bool generate_bdr = false, refine = false, fix_orientation = false; + constexpr bool generate_bdr = false; + // constexpr bool generate_bdr = false, refine = false, fix_orientation = false; // XX + // TODO FINALIZE new_mesh->FinalizeTopology(generate_bdr); - new_mesh->RemoveUnusedVertices(); + new_mesh->RemoveUnusedVertices(); // Remove vertices from the deleted elements if (orig_mesh->GetNodes()) { TransferHighOrderNodes(*orig_mesh, *new_mesh, &elem_delete_map); } - - new_mesh->Finalize(refine, fix_orientation); // XX TODO UNSURE IF NEEDED... - + // new_mesh->Finalize(refine, fix_orientation); // XX TODO FINALIZE orig_mesh = std::move(new_mesh); } @@ -2005,12 +2007,11 @@ mfem::Mesh MeshTetToHex(const mfem::Mesh &orig_mesh) // Finalize the hex mesh. No need to generate boundary elements or mark for refinement, // but we fix orientations for the new elements as needed. - constexpr bool generate_bdr = false, refine = false, fix_orientation = true; + constexpr bool generate_bdr = false; + // constexpr bool generate_bdr = false, refine = false, fix_orientation = true; // XX + // TODO FINALIZE hex_mesh.FinalizeTopology(generate_bdr); - - hex_mesh.Finalize(refine, fix_orientation); // XX TODO MOVE FINALIZATION TO LATER?? - // MakeSimplicial does not do this - + // hex_mesh.Finalize(refine, fix_orientation); // XX TODO FINALIZE return hex_mesh; } @@ -2051,6 +2052,7 @@ void SplitMeshElements(std::unique_ptr &orig_mesh, bool make_simplex MFEM_VERIFY( !element_types.has_pyramids, "Splitting mesh elements to simplices does not support pyramid elements yet!"); + if (preserve_curvature && mesh->GetNodes() && !orig_mesh_attr.Size()) { BackUpAttributes(*mesh); @@ -2060,10 +2062,6 @@ void SplitMeshElements(std::unique_ptr &orig_mesh, bool make_simplex Mpi::Print("Added {:d} elements to the mesh during conversion to simplices\n", new_mesh.GetNE() - ne); mesh = &new_mesh; - - // //XX OTDO PRINT A MESSAEG HERE - // Mpi::Print("Removed {:d} unattached boundary elements from the mesh\n", - // orig_mesh->GetNBE() - new_nbe); } } @@ -2088,10 +2086,6 @@ void SplitMeshElements(std::unique_ptr &orig_mesh, bool make_simplex Mpi::Print("Added {:d} elements to the mesh during conversion to hexahedra\n", new_mesh.GetNE() - ne); mesh = &new_mesh; - - // //XX OTDO PRINT A MESSAEG HERE - // Mpi::Print("Removed {:d} unattached boundary elements from the mesh\n", - // orig_mesh->GetNBE() - new_nbe); } } @@ -2233,10 +2227,6 @@ void SplitMeshElements(std::unique_ptr &orig_mesh, bool make_simplex "Unexpected size mismatch for nodes!"); new_mesh.SetNodes(new_nodes); } - - // constexpr bool refine = false, fix_orientation = false; - // new_mesh.Finalize(refine, fix_orientation); //XX TODO UNSURE IF NEEDED... - orig_mesh = std::make_unique(std::move(new_mesh)); // Call move constructor } @@ -2273,8 +2263,68 @@ void ReorderMeshElements(mfem::Mesh &mesh, bool print) } } +std::unordered_map CheckMesh(const mfem::Mesh &mesh, + const std::vector &bdr_attr_list) +{ + // Check for: + // (1) Boundary elements with no prescribed boundary condition, and + // (2) Boundary faces which have no boundary element. + std::unordered_map face_to_be; + face_to_be.reserve(mesh.GetNBE()); + for (int be = 0; be < mesh.GetNBE(); be++) + { + int f, o; + mesh.GetBdrElementFace(be, &f, &o); + MFEM_VERIFY(face_to_be.find(f) == face_to_be.end(), + "Mesh should not define boundary elements multiple times!"); + face_to_be[f] = be; + } + auto bdr_marker = mesh::AttrToMarker( + mesh.bdr_attributes.Size() ? mesh.bdr_attributes.Max() : 0, bdr_attr_list, true); + std::unordered_set bdr_warn_list; + bool bdr_face_warn = false; + for (int f = 0; f < mesh.GetNumFaces(); f++) + { + int e1, e2; + mesh.GetFaceElements(f, &e1, &e2); + if (e1 >= 0 && e2 >= 0) + { + continue; // Only consider true exterior faces + } + auto it = face_to_be.find(f); + if (it != face_to_be.end()) + { + int attr = mesh.GetBdrAttribute(it->second); + if (!bdr_marker[attr - 1]) + { + // Boundary element with no prescribed boundary condition. + bdr_warn_list.insert(attr); + } + } + else + { + // Boundary face with no attached boundary element. + bdr_face_warn = true; + } + } + if (!bdr_warn_list.empty()) + { + Mpi::Warning("One or more external boundary attributes has no associated boundary " + "condition!\n\"PMC\"/\"ZeroCharge\" condition is assumed!"); + utils::PrettyPrint(bdr_warn_list, "Boundary attribute list:"); + Mpi::Print("\n"); + } + if (bdr_face_warn) + { + Mpi::Warning( + "Mesh faces with no associated boundary element exist on the domain boundary!"); + } + return face_to_be; +} + int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, - const std::vector &crack_bdr_attr_list, bool add_bdr_elem) + const std::vector &crack_bdr_attr_list, bool add_bdr_elem, + const std::unordered_map &face_to_be) { // Return if nothing to do. Otherwise, count vertices and boundary elements to add. if (crack_bdr_attr_list.empty() && !add_bdr_elem) @@ -2284,17 +2334,6 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, int new_nv = orig_mesh->GetNV(); int new_nbe = orig_mesh->GetNBE(); - std::unordered_map face_to_be; // XX TODO CONSTRUCT ONCE FOR ALL? - face_to_be.reserve(orig_mesh->GetNBE()); - for (int be = 0; be < orig_mesh->GetNBE(); be++) - { - int f, o; - orig_mesh->GetBdrElementFace(be, &f, &o); - MFEM_VERIFY(face_to_be.find(f) == face_to_be.end(), - "Mesh should not define boundary elements multiple times!"); - face_to_be[f] = be; - } - // Duplicate internal boundary elements from the given boundary attribute list, cracking // the mesh such that domain elements on either side are no longer coupled. Correctly // handles cracks where more than two domains intersect as well as seams where a crack @@ -2469,9 +2508,9 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, refinements.Append(mfem::Refinement(e)); } orig_mesh->GeneralRefinement(refinements, 0); - - // XX TODO PRINT A MESSAGE HERE!! - + Mpi::Print("Added {:d} elements from local mesh refinement for under-resolved " + "interior boundaries\n", + orig_mesh->GetNE() - ne); return 0; // Mesh was refined (conformally), start over } } @@ -2778,86 +2817,19 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } // Finalize new mesh, and copy mesh curvature information if needed. - constexpr bool generate_bdr = false, refine = false, fix_orientation = false; + constexpr bool generate_bdr = false; + // constexpr bool generate_bdr = false, refine = false, fix_orientation = false; // XX + // TODO FINALIZE new_mesh->FinalizeTopology(generate_bdr); - new_mesh->RemoveUnusedVertices(); if (orig_mesh->GetNodes()) { TransferHighOrderNodes(*orig_mesh, *new_mesh); } - - new_mesh->Finalize(refine, fix_orientation); // XX TODO UNSURE IF NEEDED... - + // new_mesh->Finalize(refine, fix_orientation); // XX TODO FINALIZE orig_mesh = std::move(new_mesh); return 1; // Success } -void CheckMesh(const mfem::Mesh &mesh, const std::vector &bdr_attr_list, - int orig_bdr_attr_max) -{ - // Check for: - // (1) Boundary elements with no prescribed boundary condition, and - // (2) Boundary faces which have no boundary element. - - - - - std::unordered_map face_to_be; // XX TODO CONSTRUCT ONCE FOR ALL? - face_to_be.reserve(mesh.GetNBE()); - for (int be = 0; be < mesh.GetNBE(); be++) - { - int f, o; - mesh.GetBdrElementFace(be, &f, &o); - MFEM_VERIFY(face_to_be.find(f) == face_to_be.end(), - "Mesh should not define boundary elements multiple times!"); - face_to_be[f] = be; - } - - - - - auto bdr_marker = mesh::AttrToMarker( - mesh.bdr_attributes.Size() ? mesh.bdr_attributes.Max() : 0, bdr_attr_list, true); - std::unordered_set bdr_warn_list; - bool bdr_face_warn = false; - for (int f = 0; f < mesh.GetNumFaces(); f++) - { - int e1, e2; - mesh.GetFaceElements(f, &e1, &e2); - if (e1 >= 0 && e2 >= 0) - { - continue; // Only consider true exterior faces - } - auto it = face_to_be.find(f); - if (it != face_to_be.end()) - { - int attr = mesh.GetBdrAttribute(it->second); - if (attr <= orig_bdr_attr_max && !bdr_marker[attr - 1]) - { - // Boundary element with no prescribed boundary condition. - bdr_warn_list.insert(attr); - } - } - else - { - // Boundary face with no attached boundary element. - bdr_face_warn = true; - } - } - if (!bdr_warn_list.empty()) - { - Mpi::Warning("One or more external boundary attributes has no associated boundary " - "condition!\n\"PMC\"/\"ZeroCharge\" condition is assumed!"); - utils::PrettyPrint(bdr_warn_list, "Boundary attribute list:"); - Mpi::Print("\n"); - } - if (bdr_face_warn) - { - Mpi::Warning( - "Mesh faces with no associated boundary element exist on the domain boundary!"); - } -} - std::unique_ptr GetMeshPartitioning(const mfem::Mesh &mesh, int size, const std::string &part_file, bool print) { From a2a686816d4793de95a554da0117282091e8bc89 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Fri, 31 May 2024 17:39:41 -0700 Subject: [PATCH 07/24] Add temporary debugging code for crack visualization and testing --- palace/utils/geodata.cpp | 38 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 38 insertions(+) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 1dc374413..05dd38560 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -26,6 +26,11 @@ #include "utils/prettyprint.hpp" #include "utils/timer.hpp" + +// XX TODO WIP DEBUG +#define CRACK_VERTEX_PERTURBATION 1 + + namespace palace { @@ -2816,6 +2821,39 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } } + + // XX TODO WIP DEBUG + if (CRACK_VERTEX_PERTURBATION) + { + // Perturb newly inserted vertices toward the centroid of their connected components + for (const auto &[orig_v, vert_components] : crack_vert_duplicates) + { + for (const auto &[dup_v, component] : vert_components) + { + mfem::Vector centroid(orig_mesh->SpaceDimension()); + for (const auto e : component) + { + double pt_data[3]; + mfem::Vector pt(pt_data, orig_mesh->SpaceDimension()); + mfem::ElementTransformation &T = *orig_mesh->GetElementTransformation(e); + T.Transform(mfem::Geometries.GetCenter(T.GetGeometryType()), pt); + centroid += pt; + } + centroid /= component.size(); + for (int d = 0; d < centroid.Size(); d++) + { + const double delta = (centroid(d) - new_mesh->GetVertex(dup_v)[d]) * 0.25; + new_mesh->GetVertex(dup_v)[d] += delta; + new_mesh->GetVertex(orig_v)[d] -= delta; + } + } + } + + // Don't set high-order node information in this case (use vertices) + orig_mesh->SetCurvature(-1); + } + + // Finalize new mesh, and copy mesh curvature information if needed. constexpr bool generate_bdr = false; // constexpr bool generate_bdr = false, refine = false, fix_orientation = false; // XX From f2f1abfc4ee01166f88ffb3c1832a0a47f8e8113 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Mon, 3 Jun 2024 15:50:51 -0700 Subject: [PATCH 08/24] Implement local refinement of narrow internal boundaries for cracking --- palace/drivers/basesolver.cpp | 2 - palace/utils/geodata.cpp | 169 +++++++++++++++++++++++----------- palace/utils/geodata.hpp | 3 + 3 files changed, 118 insertions(+), 56 deletions(-) diff --git a/palace/drivers/basesolver.cpp b/palace/drivers/basesolver.cpp index 6cf3f80de..fdacc0f47 100644 --- a/palace/drivers/basesolver.cpp +++ b/palace/drivers/basesolver.cpp @@ -154,8 +154,6 @@ void BaseSolver::SolveEstimateMarkRefine(std::vector> &mes Mpi::Print("\nFlattening mesh sequence:\n AMR will start from the final mesh in " "the sequence of a priori refinements\n"); mesh.erase(mesh.begin(), mesh.end() - 1); - constexpr bool refine = true, fix_orientation = true; - mesh.back()->Get().Finalize(refine, fix_orientation); } MPI_Comm comm = mesh.back()->GetComm(); diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 05dd38560..2560718a1 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -26,11 +26,9 @@ #include "utils/prettyprint.hpp" #include "utils/timer.hpp" - // XX TODO WIP DEBUG #define CRACK_VERTEX_PERTURBATION 1 - namespace palace { @@ -64,9 +62,8 @@ std::unordered_map CheckMesh(const mfem::Mesh &, const std::vector &, - const std::vector &, bool, - const std::unordered_map &); +int AddInterfaceBdrElements(std::unique_ptr &, std::unordered_map &, + const std::vector &, bool); // Generate element-based mesh partitioning, using either a provided file or METIS. std::unique_ptr GetMeshPartitioning(const mfem::Mesh &, int, @@ -92,10 +89,28 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) // necessary serial preprocessing. When finished, distribute the mesh to all processes. // Count disk I/O time separately for the mesh read from file. - // If not adapting, or performing conformal adaptation, can use the mesh partitioner. + // If not doing any local adaptation, or performing conformal adaptation, we can use the + // mesh partitioner. std::unique_ptr smesh; const auto &refinement = iodata.model.refinement; - const bool use_amr = refinement.max_it > 0; + const bool use_amr = (refinement.max_it > 0) || [&refinement]() + { + for (const auto &box : refinement.GetBoxes()) + { + if (box.ref_levels > 0) + { + return true; + } + } + for (const auto &sphere : refinement.GetSpheres()) + { + if (sphere.ref_levels > 0) + { + return true; + } + } + return false; + }(); const bool use_mesh_partitioner = !use_amr || !refinement.nonconformal; MPI_Comm node_comm; if (!use_mesh_partitioner) @@ -176,7 +191,7 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) // Check the final mesh, throwing warnings if there are exterior boundaries with no // associated boundary condition. - const auto face_to_be = CheckMesh(*smesh, iodata.boundaries.attributes); + auto face_to_be = CheckMesh(*smesh, iodata.boundaries.attributes); // Add new boundary elements for material interfaces if not present (with new unique // boundary attributes). Also duplicate internal boundary elements associated with @@ -194,13 +209,15 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) while (!success) { // May require multiple calls due to early exit/retry approach. - success = AddInterfaceBdrElements(smesh, crack_bdr_attr_list, - iodata.model.add_bdr_elements, face_to_be); + success = AddInterfaceBdrElements(smesh, face_to_be, crack_bdr_attr_list, + iodata.model.add_bdr_elements); } } - // XX TODO FINALIZE THE MESH HERE ONCE AND FOR ALL IF MODIFIED? - constexpr bool refine = false, fix_orientation = false; + // Finally, finalize the serial mesh. Mark tetrahedral meshes for refinement. There + // should be no need to fix orientation as this was done during initial mesh loading + // from disk. + constexpr bool refine = true, fix_orientation = false; smesh->Finalize(refine, fix_orientation); // Generate the mesh partitioning. @@ -348,19 +365,24 @@ void RefineMesh(const IoData &iodata, std::vector mesh.back()->UniformRefinement(); } + // Simplex meshes need to be re-finalized in order to use local refinement (see + // the docstring for mfem::Mesh::UniformRefinement). + const auto element_types = mesh::CheckElements(*mesh.back()); + if (uniform_ref_levels > 0 && element_types.has_simplices) + { + constexpr bool refine = true, fix_orientation = false; + mesh.back()->Finalize(refine, fix_orientation); + } + // Proceed with region-based refinement, level-by-level for all regions. Currently support // box and sphere region shapes. Any overlap between regions is ignored (take the union, // don't double-refine). - if (max_region_ref_levels > 0 && - (mesh[0]->MeshGenerator() & 2 || mesh[0]->MeshGenerator() & 4 || - mesh[0]->MeshGenerator() & 8)) - { - // XX TODO: Region-based refinement won't work if the ParMesh has been constructed from - // a conforming mesh, but nonconforming refinement is needed. Unclear if the - // current mesh distribution scheme will work even for a conforming serial mesh - // which is a NCMesh after Mesh::EnsureNCMesh is called. - MFEM_ABORT("Region-based refinement is currently only supported for simplex meshes!"); - } + MFEM_VERIFY( + max_region_ref_levels == 0 || + !(element_types.has_hexahedra || element_types.has_prisms || + element_types.has_pyramids) || + mesh.back()->Nonconforming(), + "Region-based refinement for non-simplex meshes requires a nonconformal mesh!"); const bool use_nodes = (mesh.back()->GetNodes() != nullptr); const int ref = use_nodes ? mesh.back()->GetNodes()->FESpace()->GetMaxElementOrder() : 1; const int dim = mesh.back()->SpaceDimension(); @@ -589,6 +611,34 @@ ElementTypeInfo CheckElements(const mfem::Mesh &mesh) return {bool(meshgen & 1), bool(meshgen & 2), bool(meshgen & 4), bool(meshgen & 8)}; } +bool CheckRefinementFlags(const mfem::Mesh &mesh) +{ + bool marked = true; + for (int e = 0; e < mesh.GetNE(); e++) + { + const mfem::Element *el = mesh.GetElement(e); + const int geom = el->GetGeometryType(); + if (geom == mfem::Geometry::TETRAHEDRON) + { + const mfem::Tetrahedron *tet = static_cast(el); + if (tet->GetRefinementFlag() == 0) + { + marked = false; + break; + } + } + } + if (const auto *pmesh = dynamic_cast(&mesh)) + { + Mpi::GlobalOr(1, marked, pmesh->GetComm()); + return marked; + } + else + { + return marked; + } +} + namespace { @@ -1714,7 +1764,7 @@ std::unique_ptr LoadMesh(const std::string &mesh_file, bool remove_c // supports a native mesh format (.mesh), VTK/VTU, Gmsh, as well as some others. We use // built-in converters for the types we know, otherwise rely on MFEM to do the conversion // or error out if not supported. - constexpr bool generate_edges = true, refine = true, fix_orientation = true; + constexpr bool generate_edges = false, refine = false, fix_orientation = true; std::unique_ptr mesh; std::filesystem::path mesh_path(mesh_file); if (mesh_path.extension() == ".mphtxt" || mesh_path.extension() == ".mphbin" || @@ -1876,21 +1926,17 @@ void CleanMesh(std::unique_ptr &orig_mesh, } } - // Finalize new mesh and replace the old one. If a curved mesh, set up the new mesh by - // projecting nodes onto the new mesh for the non-trimmed vdofs. After we have copied the - // high-order nodes information, topological changes in Mesh::Finalize are OK. No need to + // Finalize the new mesh topology and replace the old mesh. If a curved mesh, set up the + // new mesh by projecting nodes onto the new mesh for the non-trimmed vdofs. No need to // mark for refinement or fix orientations, since everything is copied from the previous // mesh. constexpr bool generate_bdr = false; - // constexpr bool generate_bdr = false, refine = false, fix_orientation = false; // XX - // TODO FINALIZE new_mesh->FinalizeTopology(generate_bdr); new_mesh->RemoveUnusedVertices(); // Remove vertices from the deleted elements if (orig_mesh->GetNodes()) { TransferHighOrderNodes(*orig_mesh, *new_mesh, &elem_delete_map); } - // new_mesh->Finalize(refine, fix_orientation); // XX TODO FINALIZE orig_mesh = std::move(new_mesh); } @@ -1901,6 +1947,8 @@ mfem::Mesh MeshTetToHex(const mfem::Mesh &orig_mesh) // and pyramid elements but this mixed mesh support requires a bit more work. MFEM_VERIFY(orig_mesh.Dimension() == 3, "Tet-to-hex conversion only supports 3D meshes!"); { + // This checks the local mesh on each process, but the assertion failing on any single + // process will terminate the program. mfem::Array geoms; orig_mesh.GetGeometries(3, geoms); MFEM_VERIFY(geoms.Size() == 1 && geoms[0] == mfem::Geometry::TETRAHEDRON, @@ -2010,13 +2058,9 @@ mfem::Mesh MeshTetToHex(const mfem::Mesh &orig_mesh) } } - // Finalize the hex mesh. No need to generate boundary elements or mark for refinement, - // but we fix orientations for the new elements as needed. + // Finalize the hex mesh topology. The mesh will be marked for refinement later on. constexpr bool generate_bdr = false; - // constexpr bool generate_bdr = false, refine = false, fix_orientation = true; // XX - // TODO FINALIZE hex_mesh.FinalizeTopology(generate_bdr); - // hex_mesh.Finalize(refine, fix_orientation); // XX TODO FINALIZE return hex_mesh; } @@ -2268,12 +2312,8 @@ void ReorderMeshElements(mfem::Mesh &mesh, bool print) } } -std::unordered_map CheckMesh(const mfem::Mesh &mesh, - const std::vector &bdr_attr_list) +std::unordered_map GetFaceToBdrElementMap(const mfem::Mesh &mesh) { - // Check for: - // (1) Boundary elements with no prescribed boundary condition, and - // (2) Boundary faces which have no boundary element. std::unordered_map face_to_be; face_to_be.reserve(mesh.GetNBE()); for (int be = 0; be < mesh.GetNBE(); be++) @@ -2284,10 +2324,20 @@ std::unordered_map CheckMesh(const mfem::Mesh &mesh, "Mesh should not define boundary elements multiple times!"); face_to_be[f] = be; } + return face_to_be; +} + +std::unordered_map CheckMesh(const mfem::Mesh &mesh, + const std::vector &bdr_attr_list) +{ + // Check for: + // (1) Boundary elements with no prescribed boundary condition, and + // (2) Boundary faces which have no boundary element. auto bdr_marker = mesh::AttrToMarker( mesh.bdr_attributes.Size() ? mesh.bdr_attributes.Max() : 0, bdr_attr_list, true); + std::unordered_map face_to_be = GetFaceToBdrElementMap(mesh); std::unordered_set bdr_warn_list; - bool bdr_face_warn = false; + int bdr_face_warn = 0; for (int f = 0; f < mesh.GetNumFaces(); f++) { int e1, e2; @@ -2309,33 +2359,38 @@ std::unordered_map CheckMesh(const mfem::Mesh &mesh, else { // Boundary face with no attached boundary element. - bdr_face_warn = true; + bdr_face_warn++; } } if (!bdr_warn_list.empty()) { Mpi::Warning("One or more external boundary attributes has no associated boundary " - "condition!\n\"PMC\"/\"ZeroCharge\" condition is assumed!"); + "condition!\n\"PMC\"/\"ZeroCharge\" condition is assumed!\n"); utils::PrettyPrint(bdr_warn_list, "Boundary attribute list:"); Mpi::Print("\n"); } if (bdr_face_warn) { - Mpi::Warning( - "Mesh faces with no associated boundary element exist on the domain boundary!"); + Mpi::Warning("{:d} mesh faces with no associated boundary element exist on the domain " + "boundary!\n", + bdr_face_warn); } return face_to_be; } int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, - const std::vector &crack_bdr_attr_list, bool add_bdr_elem, - const std::unordered_map &face_to_be) + std::unordered_map &face_to_be, + const std::vector &crack_bdr_attr_list, bool add_bdr_elem) { // Return if nothing to do. Otherwise, count vertices and boundary elements to add. if (crack_bdr_attr_list.empty() && !add_bdr_elem) { return 1; // Success } + if (face_to_be.size() != orig_mesh->GetNFaces()) + { + face_to_be = GetFaceToBdrElementMap(*orig_mesh); + } int new_nv = orig_mesh->GetNV(); int new_nbe = orig_mesh->GetNBE(); @@ -2477,6 +2532,8 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, for (int i = 0; i < bdr_el->GetNVertices(); i++) { const auto v = verts[i]; + MFEM_ASSERT(crack_vert_duplicates.find(v) != crack_vert_duplicates.end(), + "Unable to locate crack vertex for an interior boundary element!"); if (!crack_vert_duplicates[v].empty()) { mark_bdr_elem = false; @@ -2488,6 +2545,8 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, int f, o, e1, e2; orig_mesh->GetBdrElementFace(be, &f, &o); orig_mesh->GetFaceElements(f, &e1, &e2); + MFEM_ASSERT(e1 >= 0 && e2 >= 0, + "Invalid internal boundary element connectivity!"); elem_to_refine.insert(e1); elem_to_refine.insert(e2); } @@ -2512,6 +2571,13 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, { refinements.Append(mfem::Refinement(e)); } + if (mesh::CheckElements(*orig_mesh).has_simplices && + !mesh::CheckRefinementFlags(*orig_mesh)) + { + // Mark tetrahedral mesh for refinement before doing local refinement. + constexpr bool refine = true, fix_orientation = false; + orig_mesh->Finalize(refine, fix_orientation); + } orig_mesh->GeneralRefinement(refinements, 0); Mpi::Print("Added {:d} elements from local mesh refinement for under-resolved " "interior boundaries\n", @@ -2821,7 +2887,6 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } } - // XX TODO WIP DEBUG if (CRACK_VERTEX_PERTURBATION) { @@ -2853,17 +2918,13 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, orig_mesh->SetCurvature(-1); } - - // Finalize new mesh, and copy mesh curvature information if needed. + // Finalize the new mesh topology, and copy mesh curvature information if needed. constexpr bool generate_bdr = false; - // constexpr bool generate_bdr = false, refine = false, fix_orientation = false; // XX - // TODO FINALIZE new_mesh->FinalizeTopology(generate_bdr); if (orig_mesh->GetNodes()) { TransferHighOrderNodes(*orig_mesh, *new_mesh); } - // new_mesh->Finalize(refine, fix_orientation); // XX TODO FINALIZE orig_mesh = std::move(new_mesh); return 1; // Success } @@ -2989,8 +3050,8 @@ void RebalanceConformalMesh(std::unique_ptr &pmesh) // Write the parallel mesh to a stream as a serial mesh, then read back in and partition // using METIS. MPI_Comm comm = pmesh->GetComm(); - constexpr bool generate_edges = true, refine = true, fix_orientation = true, - generate_bdr = false; + constexpr bool generate_edges = false, generate_bdr = false, refine = true, + fix_orientation = true; std::unique_ptr smesh; if constexpr (false) { diff --git a/palace/utils/geodata.hpp b/palace/utils/geodata.hpp index 285ebd52f..bf8ed218f 100644 --- a/palace/utils/geodata.hpp +++ b/palace/utils/geodata.hpp @@ -51,6 +51,9 @@ struct ElementTypeInfo // Simplified helper for describing the element types in a (Par)Mesh. ElementTypeInfo CheckElements(const mfem::Mesh &mesh); +// Check if a tetrahedral (Par)Mesh is ready for local refinement. +bool CheckRefinementFlags(const mfem::Mesh &mesh); + // Helper function to convert a set of attribute numbers to a marker array. The marker array // will be of size max_attr and it will contain only zeroes and ones. Ones indicate which // attribute numbers are present in the list array. In the special case when list has a From 8bb9d21241d4bf5599dd401d65adbb7e7f952e52 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Mon, 3 Jun 2024 15:51:17 -0700 Subject: [PATCH 09/24] Minor improvement for geodata functions and two small bug fixes --- palace/utils/geodata.cpp | 49 +++++++++------------------------------- palace/utils/geodata.hpp | 11 +++++++-- 2 files changed, 20 insertions(+), 40 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 2560718a1..5a9e3b405 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -630,7 +630,7 @@ bool CheckRefinementFlags(const mfem::Mesh &mesh) } if (const auto *pmesh = dynamic_cast(&mesh)) { - Mpi::GlobalOr(1, marked, pmesh->GetComm()); + Mpi::GlobalOr(1, &marked, pmesh->GetComm()); return marked; } else @@ -639,48 +639,24 @@ bool CheckRefinementFlags(const mfem::Mesh &mesh) } } -namespace -{ - -auto AttrListSize(const mfem::Array &attr_list) -{ - return attr_list.Size(); -} - -auto AttrListSize(const std::vector &attr_list) -{ - return attr_list.size(); -} - -auto AttrListMax(const mfem::Array &attr_list) +void AttrToMarker(int max_attr, const int *attr_list, int attr_list_size, + mfem::Array &marker, bool skip_invalid) { - return attr_list.Max(); -} - -auto AttrListMax(const std::vector &attr_list) -{ - return *std::max_element(attr_list.begin(), attr_list.end()); -} - -} // namespace - -template -void AttrToMarker(int max_attr, const T &attr_list, mfem::Array &marker, - bool skip_invalid) -{ - MFEM_VERIFY(skip_invalid || AttrListSize(attr_list) == 0 || - AttrListMax(attr_list) <= max_attr, - "Invalid attribute number present (" << AttrListMax(attr_list) << ")!"); + MFEM_VERIFY(skip_invalid || attr_list_size == 0 || + *std::max_element(attr_list, attr_list + attr_list_size) <= max_attr, + "Invalid attribute number present (" + << *std::max_element(attr_list, attr_list + attr_list_size) << ")!"); marker.SetSize(max_attr); - if (AttrListSize(attr_list) == 1 && attr_list[0] == -1) + if (attr_list_size == 1 && attr_list[0] == -1) { marker = 1; } else { marker = 0; - for (auto attr : attr_list) + for (int i = 0; i < attr_list_size; i++) { + int attr = attr_list[i]; if ((attr <= 0 || attr > max_attr) && skip_invalid) { continue; @@ -1749,9 +1725,6 @@ double RebalanceMesh(std::unique_ptr &mesh, const IoData &iodata) return ratio; } -template void AttrToMarker(int, const mfem::Array &, mfem::Array &, bool); -template void AttrToMarker(int, const std::vector &, mfem::Array &, bool); - } // namespace mesh namespace @@ -2387,7 +2360,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, { return 1; // Success } - if (face_to_be.size() != orig_mesh->GetNFaces()) + if (face_to_be.size() != orig_mesh->GetNBE()) { face_to_be = GetFaceToBdrElementMap(*orig_mesh); } diff --git a/palace/utils/geodata.hpp b/palace/utils/geodata.hpp index bf8ed218f..70588fb5a 100644 --- a/palace/utils/geodata.hpp +++ b/palace/utils/geodata.hpp @@ -58,9 +58,16 @@ bool CheckRefinementFlags(const mfem::Mesh &mesh); // will be of size max_attr and it will contain only zeroes and ones. Ones indicate which // attribute numbers are present in the list array. In the special case when list has a // single entry equal to -1 the marker array will contain all ones. +void AttrToMarker(int max_attr, const int *attr_list, int attr_list_size, + mfem::Array &marker, bool skip_invalid = false); + template -void AttrToMarker(int max_attr, const T &attr_list, mfem::Array &marker, - bool skip_invalid = false); +inline void AttrToMarker(int max_attr, const T &attr_list, mfem::Array &marker, + bool skip_invalid = false) +{ + const auto size = std::distance(attr_list.begin(), attr_list.end()); + AttrToMarker(max_attr, (size > 0) ? &attr_list[0] : nullptr, size, marker, skip_invalid); +} template inline mfem::Array AttrToMarker(int max_attr, const T &attr_list, From 9a607bfbb880624fe72b91c3d52cb010fccaafc8 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Tue, 4 Jun 2024 12:25:27 -0700 Subject: [PATCH 10/24] Fix local mesh refinement for boundary mesh cracking to add fewer elements via improved tetrahedra marking --- palace/utils/geodata.cpp | 86 ++++++++++++++++++++++++++++++++++++---- 1 file changed, 79 insertions(+), 7 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 5a9e3b405..26f2e5fcb 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -27,7 +27,7 @@ #include "utils/timer.hpp" // XX TODO WIP DEBUG -#define CRACK_VERTEX_PERTURBATION 1 +#define CRACK_VERTEX_PERTURBATION 0 namespace palace { @@ -63,7 +63,7 @@ std::unordered_map CheckMesh(const mfem::Mesh &, const std::vector &, std::unordered_map &, - const std::vector &, bool); + const std::vector &, bool, bool); // Generate element-based mesh partitioning, using either a provided file or METIS. std::unique_ptr GetMeshPartitioning(const mfem::Mesh &, int, @@ -209,7 +209,7 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) while (!success) { // May require multiple calls due to early exit/retry approach. - success = AddInterfaceBdrElements(smesh, face_to_be, crack_bdr_attr_list, + success = AddInterfaceBdrElements(smesh, face_to_be, crack_bdr_attr_list, true, iodata.model.add_bdr_elements); } } @@ -2351,9 +2351,71 @@ std::unordered_map CheckMesh(const mfem::Mesh &mesh, return face_to_be; } +template +class InterfaceRefinementMesh : public mfem::Mesh +{ +private: + // Container with keys being the vertex indicies (match row/column indices of v_to_v) + // of vertices lying on the interface to be refined. + const T &interface_vertices; + + void MarkTetMeshForRefinement(const mfem::DSTable &v_to_v) override + { + // The standard tetrahedral refinement in MFEM is to mark the longest edge of each tet + // for the first refinement. We hack this marking here in order to prioritize refinement + // of edges which are part of internal boundary faces being marked for refinement. This + // should hopefully limit the amount of extra refinement required to ensure conformity + // after the marked elements are refined. + mfem::Array lengths; + GetEdgeLengths2(v_to_v, lengths); + for (int i = 0; i < v_to_v.NumberOfRows(); i++) + { + bool has_i = (interface_vertices.find(i) != interface_vertices.end()); + for (mfem::DSTable::RowIterator it(v_to_v, i); !it; ++it) + { + int j = it.Column(); + if (!has_i || interface_vertices.find(j) == interface_vertices.end()) + { + // Zero the edge lengths which do not connect vertices on the interface. + lengths[it.Index()] = 0.0; + } + } + } + + // Finish marking (see mfem::Mesh::MarkTetMeshForRefinement). + mfem::Array indices(NumOfEdges); + std::iota(indices.begin(), indices.end(), 0); + for (int i = 0; i < NumOfElements; i++) + { + if (elements[i]->GetType() == mfem::Element::TETRAHEDRON) + { + MFEM_ASSERT(dynamic_cast(elements[i]), + "Unexpected non-Tetrahedron element type!"); + static_cast(elements[i])->MarkEdge(v_to_v, lengths, indices); + } + } + for (int i = 0; i < NumOfBdrElements; i++) + { + if (boundary[i]->GetType() == mfem::Element::TRIANGLE) + { + MFEM_ASSERT(dynamic_cast(boundary[i]), + "Unexpected non-Triangle element type!"); + static_cast(boundary[i])->MarkEdge(v_to_v, lengths, indices); + } + } + } + +public: + InterfaceRefinementMesh(mfem::Mesh &&mesh, const T &interface_vertices) + : mfem::Mesh(std::move(mesh)), interface_vertices(interface_vertices) + { + } +}; + int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, std::unordered_map &face_to_be, - const std::vector &crack_bdr_attr_list, bool add_bdr_elem) + const std::vector &crack_bdr_attr_list, + bool refine_crack_elem, bool add_bdr_elem) { // Return if nothing to do. Otherwise, count vertices and boundary elements to add. if (crack_bdr_attr_list.empty() && !add_bdr_elem) @@ -2495,6 +2557,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, // After processing all boundary elements, check if there are any elements which have // all seam vertices (non-duplicated vertices attached to crack boundary elements). // In order to correctly crack the internal boundary, these elements need to be refined. + if (refine_crack_elem) { std::set elem_to_refine; for (auto be : crack_bdr_elem) @@ -2542,14 +2605,23 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, refinements.Reserve(elem_to_refine.size()); for (auto e : elem_to_refine) { - refinements.Append(mfem::Refinement(e)); + // Tetrahedral bisection (vs. default octasection) will result in fewer added + // elements at the cost of a potential minor mesh quality degredation. + refinements.Append(mfem::Refinement(e, mfem::Refinement::X)); } if (mesh::CheckElements(*orig_mesh).has_simplices && !mesh::CheckRefinementFlags(*orig_mesh)) { - // Mark tetrahedral mesh for refinement before doing local refinement. + // Mark tetrahedral mesh for refinement before doing local refinement. This is a + // bit of a strange pattern to override the standard conforming refinement of the + // mfem::Mesh class. We want to implement our own edge marking of the tetrahedra, + // so we move the mesh to a constructed derived class object, mark it, and then + // move assign it to the original base class object before refining. All of these + // moves should be cheap without any extra memory allocation. constexpr bool refine = true, fix_orientation = false; - orig_mesh->Finalize(refine, fix_orientation); + InterfaceRefinementMesh ref_mesh(std::move(*orig_mesh), crack_vert_duplicates); + ref_mesh.Finalize(refine, fix_orientation); + *orig_mesh = std::move(ref_mesh); } orig_mesh->GeneralRefinement(refinements, 0); Mpi::Print("Added {:d} elements from local mesh refinement for under-resolved " From f1e6ff04d7c3febe7c26f5a88c43e949c72bbca3 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Tue, 4 Jun 2024 13:39:05 -0700 Subject: [PATCH 11/24] Fix two small bugs for mesh refinement --- palace/utils/geodata.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 26f2e5fcb..90b6d9be3 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -630,7 +630,7 @@ bool CheckRefinementFlags(const mfem::Mesh &mesh) } if (const auto *pmesh = dynamic_cast(&mesh)) { - Mpi::GlobalOr(1, &marked, pmesh->GetComm()); + Mpi::GlobalAnd(1, &marked, pmesh->GetComm()); return marked; } else @@ -3096,7 +3096,7 @@ void RebalanceConformalMesh(std::unique_ptr &pmesh) // using METIS. MPI_Comm comm = pmesh->GetComm(); constexpr bool generate_edges = false, generate_bdr = false, refine = true, - fix_orientation = true; + fix_orientation = false; std::unique_ptr smesh; if constexpr (false) { From 9c018da87d994c052eb8479abd117cdbaef04406 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Tue, 4 Jun 2024 14:04:50 -0700 Subject: [PATCH 12/24] Add configuration file keyword to control refinement option for thin internal boundaries --- docs/src/config/model.md | 1 + palace/utils/configfile.cpp | 3 +++ palace/utils/configfile.hpp | 4 ++++ palace/utils/geodata.cpp | 3 ++- scripts/schema/config/model.json | 1 + 5 files changed, 11 insertions(+), 1 deletion(-) diff --git a/docs/src/config/model.md b/docs/src/config/model.md index 2986a63cf..721fae24a 100644 --- a/docs/src/config/model.md +++ b/docs/src/config/model.md @@ -119,6 +119,7 @@ mesh length units. - `"ReorderElements" [false]` - `"CleanUnusedElements" [true]` - `"CrackInternalBoundaryElements" [true]` + - `"RefineCrackElements" [true]` - `"AddInterfaceBoundaryElements" [true]` - `"ReorientTetMesh" [false]` - `"Partitioning" [""]` diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index bbc40622b..2f76797cb 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -471,6 +471,7 @@ void ModelData::SetUp(json &config) reorder_elements = model->value("ReorderElements", reorder_elements); clean_unused_elements = model->value("CleanUnusedElements", clean_unused_elements); crack_bdr_elements = model->value("CrackInternalBoundaryElements", crack_bdr_elements); + refine_crack_elements = model->value("RefineCrackElements", refine_crack_elements); add_bdr_elements = model->value("AddInterfaceBoundaryElements", add_bdr_elements); reorient_tet_mesh = model->value("ReorientTetMesh", reorient_tet_mesh); partitioning = model->value("Partitioning", partitioning); @@ -486,6 +487,7 @@ void ModelData::SetUp(json &config) model->erase("ReorderElements"); model->erase("CleanUnusedElements"); model->erase("CrackInternalBoundaryElements"); + model->erase("RefineCrackElements"); model->erase("AddInterfaceBoundaryElements"); model->erase("ReorientTetMesh"); model->erase("Partitioning"); @@ -506,6 +508,7 @@ void ModelData::SetUp(json &config) std::cout << "ReorderElements: " << reorder_elements << '\n'; std::cout << "CleanUnusedElements: " << clean_unused_elements << '\n'; std::cout << "CrackInternalBoundaryElements: " << crack_bdr_elements << '\n'; + std::cout << "RefineCrackElements: " << refine_crack_elements << '\n'; std::cout << "AddInterfaceBoundaryElements: " << add_bdr_elements << '\n'; std::cout << "ReorientTetMesh: " << reorient_tet_mesh << '\n'; std::cout << "Partitioning: " << partitioning << '\n'; diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index b3e543517..337416845 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -223,6 +223,10 @@ struct ModelData // elements on either side. bool crack_bdr_elements = true; + // When required, refine elements neighboring a split or crack in order to enable the + // decoupling. + bool refine_crack_elements = true; + // Add new boundary elements for faces are on the computational domain boundary or which // have attached elements on either side with different domain attributes. bool add_bdr_elements = true; diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 90b6d9be3..f9eff0672 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -209,7 +209,8 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) while (!success) { // May require multiple calls due to early exit/retry approach. - success = AddInterfaceBdrElements(smesh, face_to_be, crack_bdr_attr_list, true, + success = AddInterfaceBdrElements(smesh, face_to_be, crack_bdr_attr_list, + iodata.model.refine_crack_elements, iodata.model.add_bdr_elements); } } diff --git a/scripts/schema/config/model.json b/scripts/schema/config/model.json index 301f1b994..de108fe6d 100644 --- a/scripts/schema/config/model.json +++ b/scripts/schema/config/model.json @@ -15,6 +15,7 @@ "ReorderElements": { "type": "boolean" }, "CleanUnusedElements": { "type": "boolean" }, "CrackInternalBoundaryElements": { "type": "boolean" }, + "RefineCrackElements": { "type": "boolean" }, "AddInterfaceBoundaryElements": { "type": "boolean" }, "ReorientTetMesh": { "type": "boolean" }, "Partitioning": { "type": "string" }, From 041eef70cb5ca4277968df0a3c0ded4fb0a89763 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Tue, 4 Jun 2024 14:06:23 -0700 Subject: [PATCH 13/24] Resolve GCC compiler warning --- palace/utils/geodata.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index f9eff0672..2133cb583 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -2423,7 +2423,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, { return 1; // Success } - if (face_to_be.size() != orig_mesh->GetNBE()) + if (face_to_be.size() != static_cast(orig_mesh->GetNBE())) { face_to_be = GetFaceToBdrElementMap(*orig_mesh); } From 1b1e65ce4e13bf6b6036ab432410fb914f63c8e7 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Wed, 5 Jun 2024 15:18:26 -0700 Subject: [PATCH 14/24] Two fixes: Fix refinement of interior crack boundary elements to account for corner cases of edges requiring refinement, and fix the renumbering and duplication of boundary elements for cracking --- palace/models/postoperator.cpp | 2 +- palace/utils/geodata.cpp | 266 ++++++++++++++++++--------------- 2 files changed, 144 insertions(+), 124 deletions(-) diff --git a/palace/models/postoperator.cpp b/palace/models/postoperator.cpp index c5c5e5538..2748e371d 100644 --- a/palace/models/postoperator.cpp +++ b/palace/models/postoperator.cpp @@ -79,7 +79,7 @@ PostOperator::PostOperator(const IoData &iodata, SpaceOperator &space_op, // Add wave port boundary mode postprocessing when available. for (const auto &[idx, data] : space_op.GetWavePortOp()) { - auto ret = port_E0.insert(std::make_pair(idx, WavePortFieldData())); + auto ret = port_E0.emplace(idx, WavePortFieldData()); ret.first->second.E0r = data.GetModeFieldCoefficientReal(); ret.first->second.E0i = data.GetModeFieldCoefficientImag(); } diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 2133cb583..df77ed184 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -6,6 +6,7 @@ #include #include #include +#include #include #include #include @@ -1895,8 +1896,8 @@ void CleanMesh(std::unique_ptr &orig_mesh, { if (bdr_elem_delete_map[be] >= 0) { - mfem::Element *el = orig_mesh->GetBdrElement(be)->Duplicate(new_mesh.get()); - new_mesh->AddBdrElement(el); + mfem::Element *bdr_el = orig_mesh->GetBdrElement(be)->Duplicate(new_mesh.get()); + new_mesh->AddBdrElement(bdr_el); } } @@ -2369,6 +2370,7 @@ class InterfaceRefinementMesh : public mfem::Mesh // after the marked elements are refined. mfem::Array lengths; GetEdgeLengths2(v_to_v, lengths); + const auto min_length = 0.1 * lengths.Min(); for (int i = 0; i < v_to_v.NumberOfRows(); i++) { bool has_i = (interface_vertices.find(i) != interface_vertices.end()); @@ -2377,8 +2379,9 @@ class InterfaceRefinementMesh : public mfem::Mesh int j = it.Column(); if (!has_i || interface_vertices.find(j) == interface_vertices.end()) { - // Zero the edge lengths which do not connect vertices on the interface. - lengths[it.Index()] = 0.0; + // "Zero" the edge lengths which do not connect vertices on the interface. Avoid + // zero-length edges just in case. + lengths[it.Index()] = min_length; } } } @@ -2437,7 +2440,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, std::unordered_set crack_bdr_elem; std::unordered_map>>> crack_vert_duplicates; - std::unique_ptr vert_to_elem, vert_to_bdr_elem; + std::unique_ptr vert_to_elem; if (!crack_bdr_attr_list.empty()) { auto crack_bdr_marker = mesh::AttrToMarker( @@ -2460,8 +2463,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, "Duplicating internal boundary elements for interior boundaries is not " "supported for nonconforming meshes!"); - vert_to_elem.reset(orig_mesh->GetVertexToElementTable()); // Owned by caller - vert_to_bdr_elem.reset(orig_mesh->GetVertexToBdrElementTable()); // Owned by caller + vert_to_elem.reset(orig_mesh->GetVertexToElementTable()); // Owned by caller const mfem::Table &elem_to_face = orig_mesh->ElementToFaceTable(); int new_nv_dups = 0; for (auto be : crack_bdr_elem) @@ -2517,11 +2519,14 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, e == e1 || e == e2, "Unexpected face-element connectivity in internal boundary cracking!"); int nbr = (e == e1) ? e2 : e1; - auto it = unvisited.find(nbr); - if (nbr >= 0 && it != unvisited.end()) + if (nbr >= 0) { - que.push(nbr); - unvisited.erase(it); + auto it = unvisited.find(nbr); + if (it != unvisited.end()) + { + que.push(nbr); + unvisited.erase(it); + } } } } @@ -2536,7 +2541,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, { visited_size += component.size(); } - MFEM_VERIFY(visited_size == vert_to_elem->RowSize(v), + MFEM_VERIFY(visited_size == static_cast(vert_to_elem->RowSize(v)), "Failed to visit all elements in neighborhood of vertex when " "counting connected components!"); } @@ -2555,51 +2560,78 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } } - // After processing all boundary elements, check if there are any elements which have - // all seam vertices (non-duplicated vertices attached to crack boundary elements). - // In order to correctly crack the internal boundary, these elements need to be refined. + // After processing all boundary elements, check if there are any elements which need + // refinement in order to successfully decouple both sides. This happens if we have an + // edge interior to the crack which connects to seam vertices (non-duplicated vertices + // attached to crack boundary elements). A previous implementation of refinement + // considered for refinement just all boundary elements with all attached vertices + // lying on the seam, but this doesn't catch all required cases. if (refine_crack_elem) { + std::map, std::vector> coarse_crack_edge_to_be; std::set elem_to_refine; for (auto be : crack_bdr_elem) { - bool mark_bdr_elem = true; const mfem::Element *bdr_el = orig_mesh->GetBdrElement(be); const int *verts = bdr_el->GetVertices(); - for (int i = 0; i < bdr_el->GetNVertices(); i++) + for (int i = 0; i < bdr_el->GetNEdges(); i++) { - const auto v = verts[i]; - MFEM_ASSERT(crack_vert_duplicates.find(v) != crack_vert_duplicates.end(), - "Unable to locate crack vertex for an interior boundary element!"); - if (!crack_vert_duplicates[v].empty()) + auto v0 = verts[bdr_el->GetEdgeVertices(i)[0]], + v1 = verts[bdr_el->GetEdgeVertices(i)[1]]; + MFEM_ASSERT(crack_vert_duplicates.find(v0) != crack_vert_duplicates.end() && + crack_vert_duplicates.find(v1) != crack_vert_duplicates.end(), + "Unable to locate crack vertices for an interior boundary element!"); + if (crack_vert_duplicates[v0].empty() && crack_vert_duplicates[v1].empty()) { - mark_bdr_elem = false; - break; + // This is a seam edge, so add the attached boundary element to a list. The + // check for the edge being interior to the crack is indicated by visiting more + // than once. + if (v1 < v0) + { + std::swap(v0, v1); + } + const auto key = std::make_pair(v0, v1); + auto it = coarse_crack_edge_to_be.find(key); + auto &bdr_elem_to_refine = + (it == coarse_crack_edge_to_be.end()) + ? coarse_crack_edge_to_be.try_emplace(key).first->second + : it->second; + bdr_elem_to_refine.push_back(be); } } - if (mark_bdr_elem) + } + for (const auto &[edge, bdr_elem_to_refine] : coarse_crack_edge_to_be) + { + if (bdr_elem_to_refine.size() > 1) { - int f, o, e1, e2; - orig_mesh->GetBdrElementFace(be, &f, &o); - orig_mesh->GetFaceElements(f, &e1, &e2); - MFEM_ASSERT(e1 >= 0 && e2 >= 0, - "Invalid internal boundary element connectivity!"); - elem_to_refine.insert(e1); - elem_to_refine.insert(e2); + for (auto be : bdr_elem_to_refine) + { + int f, o, e1, e2; + orig_mesh->GetBdrElementFace(be, &f, &o); + orig_mesh->GetFaceElements(f, &e1, &e2); + MFEM_ASSERT(e1 >= 0 && e2 >= 0, + "Invalid internal boundary element connectivity!"); + elem_to_refine.insert(e1); + elem_to_refine.insert(e2); + } } } + static int new_ne_ref = 0; if (!elem_to_refine.empty()) { // Locally refine the mesh using conformal refinement. If necessary, convert the // mesh to simplices first to enable conforming refinement (this will do nothing // if the mesh is already a simplex mesh). - // Note: Eventually we can implement manual conforming face refinement of pairs - // of all elements types (insert a vertex at the boundary element center and connect - // it to all other element vertices). For now, this is a bit confusing to implement. + // Note: Eventually we can implement manual conforming face refinement of pairs of + // elements sharing a face for all element types (insert a vertex at the boundary + // element center and connect it to all other element vertices). For now, this adds + // complexity and making use of conformal simplex refinement seems good enough for + // most use cases. int ne = orig_mesh->GetNE(); SplitMeshElements(orig_mesh, true, false); if (ne != orig_mesh->GetNE()) { + face_to_be.clear(); return 0; // Mesh was converted to simplices, start over } mfem::Array refinements; @@ -2625,11 +2657,16 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, *orig_mesh = std::move(ref_mesh); } orig_mesh->GeneralRefinement(refinements, 0); - Mpi::Print("Added {:d} elements from local mesh refinement for under-resolved " - "interior boundaries\n", - orig_mesh->GetNE() - ne); + new_ne_ref += orig_mesh->GetNE() - ne; + face_to_be.clear(); return 0; // Mesh was refined (conformally), start over } + else if (new_ne_ref > 0) + { + Mpi::Print("Added {:d} elements from local mesh refinement of under-resolved " + "interior boundaries\n", + new_ne_ref); + } } new_nv += new_nv_dups; @@ -2737,117 +2774,100 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } } - // Renumber domain and boundary elements. + // Renumber the domain elements. + for (const auto &[orig_v, vert_components] : crack_vert_duplicates) { - for (const auto &[orig_v, vert_components] : crack_vert_duplicates) + if (vert_components.empty()) { - if (vert_components.empty()) - { - continue; // Can skip vertices which were not duplicated - } + continue; // Can skip vertices which were not duplicated + } + const int *elems = vert_to_elem->GetRow(orig_v); + for (int i = 0; i < vert_to_elem->RowSize(orig_v); i++) + { + // Find vertex in the element. + const auto e = elems[i]; + mfem::Element *el = new_mesh->GetElement(e); + int *verts = el->GetVertices(), j; + for (j = 0; j < el->GetNVertices(); j++) { - const int *elems = vert_to_elem->GetRow(orig_v); - for (int i = 0; i < vert_to_elem->RowSize(orig_v); i++) + if (verts[j] == orig_v) { - // Find vertex in the element. - const auto e = elems[i]; - mfem::Element *el = new_mesh->GetElement(e); - int *verts = el->GetVertices(), j; - for (j = 0; j < el->GetNVertices(); j++) - { - if (verts[j] == orig_v) - { - break; - } - } - MFEM_VERIFY(j < el->GetNVertices(), "Unable to locate vertex in element!"); - - // Find the correct duplicate for this vertex. It's OK if the element is not in - // any of the connected components, this indicates that it keeps the original - // vertex and its connectivity is unmodified. - for (const auto &[dup_v, component] : vert_components) - { - if (component.find(e) != component.end()) - { - verts[j] = dup_v; - break; - } - } + break; } } + MFEM_VERIFY(j < el->GetNVertices(), "Unable to locate vertex in element!"); + + // Find the correct duplicate for this vertex. It's OK if the element is not in + // any of the connected components, this indicates that it keeps the original + // vertex and its connectivity is unmodified. + for (const auto &[dup_v, component] : vert_components) { - const int *bdr_elems = vert_to_bdr_elem->GetRow(orig_v); - for (int i = 0; i < vert_to_bdr_elem->RowSize(orig_v); i++) + if (component.find(e) != component.end()) { - // Find vertex in the boundary element. These are the original boundary elements - // in the mesh. For the crack boundary elements, we renumber the nodes - // according to the neighboring element 1, and attach the duplicate to element - // 2. - const auto be = bdr_elems[i]; - mfem::Element *bdr_el = new_mesh->GetBdrElement(be); - int *verts = bdr_el->GetVertices(), j; - for (j = 0; j < bdr_el->GetNVertices(); j++) - { - if (verts[j] == orig_v) - { - break; - } - } - MFEM_VERIFY(j < bdr_el->GetNVertices(), - "Unable to locate vertex in boundary element!"); - - // Find the correct duplicate for this vertex. Use the neighboring elements, - // which must be part of the same connected component if not on the crack. - // Again, it is OK if the element is not in any of the connected components, - // this indicates that it keeps the original vertex and its connectivity is - // unmodified. - int f, o, e1, e2; - orig_mesh->GetBdrElementFace(be, &f, &o); - orig_mesh->GetFaceElements(f, &e1, &e2); - MFEM_VERIFY(e1 >= 0, "Boundary element with no attached elements!"); - for (const auto &[dup_v, component] : vert_components) - { - if (component.find(e1) != component.end()) - { - verts[j] = dup_v; - break; - } - } + verts[j] = dup_v; + break; } } } } - // Finally, we insert the new duplicate boundary elements for the crack interface. + // Finally, we insert the new duplicate boundary elements for the crack interface and + // also renumber the original boundary elements. To renumber the original boundary + // elements in the mesh, we use the updated vertex connectivity from the torn elements + // in the new mesh (done above). const mfem::Table &elem_to_face = orig_mesh->ElementToFaceTable(); - for (auto be : crack_bdr_elem) + for (int be = 0; be < orig_mesh->GetNBE(); be++) { - // Find index of the crack face in the old element, which should be the same as in - // the new (torn) element. + // Whether on the crack or not, we renumber the boundary element vertices as needed + // based on the neighboring element. For non-crack boundary elements, both + // neighboring elements must be part of the same connected component. First we find + // the index of the face in the old element, which should match the new element. int f, o, e1, e2; orig_mesh->GetBdrElementFace(be, &f, &o); orig_mesh->GetFaceElements(f, &e1, &e2); - const int *faces = elem_to_face.GetRow(e2); + MFEM_VERIFY(e1 >= 0, "Boundary element with no attached elements!"); + const int *faces = elem_to_face.GetRow(e1); int i; - for (i = 0; i < elem_to_face.RowSize(e2); i++) + for (i = 0; i < elem_to_face.RowSize(e1); i++) { if (faces[i] == f) { break; } } - MFEM_VERIFY(i < elem_to_face.RowSize(e2), "Unable to locate face in element!"); + MFEM_VERIFY(i < elem_to_face.RowSize(e1), "Unable to locate face in element!"); - // Add the interface boundary element attached to element 2 (the other part of the - // pair has been attached to element 1 in the previous step). - mfem::Element *bdr_el = orig_mesh->GetFace(f)->Duplicate(new_mesh.get()); - bdr_el->SetAttribute(orig_mesh->GetBdrAttribute(be)); - const mfem::Element *el = new_mesh->GetElement(e2); + // Update the boundary element vertices. + mfem::Element *bdr_el = new_mesh->GetBdrElement(be); + const mfem::Element *el = new_mesh->GetElement(e1); for (int j = 0; j < bdr_el->GetNVertices(); j++) { bdr_el->GetVertices()[j] = el->GetVertices()[el->GetFaceVertices(i)[j]]; } - new_mesh->AddBdrElement(bdr_el); + + // Add the duplicate boundary element for boundary elements on the crack. + if (crack_bdr_elem.find(be) != crack_bdr_elem.end()) + { + faces = elem_to_face.GetRow(e2); + for (i = 0; i < elem_to_face.RowSize(e2); i++) + { + if (faces[i] == f) + { + break; + } + } + MFEM_VERIFY(i < elem_to_face.RowSize(e2), "Unable to locate face in element!"); + + // Add the interface boundary element attached to element 2 (the other part of the + // pair has been attached to element 1 in the previous step). + bdr_el = bdr_el->Duplicate(new_mesh.get()); + el = new_mesh->GetElement(e2); + for (int j = 0; j < bdr_el->GetNVertices(); j++) + { + bdr_el->GetVertices()[j] = el->GetVertices()[el->GetFaceVertices(i)[j]]; + } + new_mesh->AddBdrElement(bdr_el); + } } } @@ -2911,11 +2931,11 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, new_mesh->AddBdrElement(bdr_el); if (new_face_bdr_elem[f] > 1) { - // Flip order of vertices to reverse normal direction of second added element. - mfem::Element *bdr_el2 = bdr_el->Duplicate(new_mesh.get()); - std::reverse(bdr_el2->GetVertices(), - bdr_el2->GetVertices() + bdr_el2->GetNVertices()); - new_mesh->AddBdrElement(bdr_el2); + // Flip order of vertices to reverse normal direction of the second added element. + bdr_el = bdr_el->Duplicate(new_mesh.get()); + std::reverse(bdr_el->GetVertices(), + bdr_el->GetVertices() + bdr_el->GetNVertices()); + new_mesh->AddBdrElement(bdr_el); if constexpr (false) { Mpi::Print("Adding two boundary elements with attribute {:d} from elements " From a225befa8a9631cc7dd1daa865aae7f000aebf6d Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Wed, 5 Jun 2024 15:45:17 -0700 Subject: [PATCH 15/24] Remove debugging code from testing --- palace/utils/geodata.cpp | 34 ---------------------------------- 1 file changed, 34 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index df77ed184..f3b65ad2e 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -27,9 +27,6 @@ #include "utils/prettyprint.hpp" #include "utils/timer.hpp" -// XX TODO WIP DEBUG -#define CRACK_VERTEX_PERTURBATION 0 - namespace palace { @@ -2953,37 +2950,6 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } } - // XX TODO WIP DEBUG - if (CRACK_VERTEX_PERTURBATION) - { - // Perturb newly inserted vertices toward the centroid of their connected components - for (const auto &[orig_v, vert_components] : crack_vert_duplicates) - { - for (const auto &[dup_v, component] : vert_components) - { - mfem::Vector centroid(orig_mesh->SpaceDimension()); - for (const auto e : component) - { - double pt_data[3]; - mfem::Vector pt(pt_data, orig_mesh->SpaceDimension()); - mfem::ElementTransformation &T = *orig_mesh->GetElementTransformation(e); - T.Transform(mfem::Geometries.GetCenter(T.GetGeometryType()), pt); - centroid += pt; - } - centroid /= component.size(); - for (int d = 0; d < centroid.Size(); d++) - { - const double delta = (centroid(d) - new_mesh->GetVertex(dup_v)[d]) * 0.25; - new_mesh->GetVertex(dup_v)[d] += delta; - new_mesh->GetVertex(orig_v)[d] -= delta; - } - } - } - - // Don't set high-order node information in this case (use vertices) - orig_mesh->SetCurvature(-1); - } - // Finalize the new mesh topology, and copy mesh curvature information if needed. constexpr bool generate_bdr = false; new_mesh->FinalizeTopology(generate_bdr); From 5fcb5608f2f00978bbefd3a0603518f4a8464261 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Tue, 28 May 2024 17:08:57 -0700 Subject: [PATCH 16/24] Interior boundary postprocessing improvements after mesh cracking --- docs/src/config/boundaries.md | 32 +--- docs/src/guide/boundaries.md | 2 +- examples/cpw/cpw_coax_adaptive.json | 6 +- examples/cpw/cpw_coax_uniform.json | 6 +- examples/cpw/cpw_lumped_adaptive.json | 6 +- examples/cpw/cpw_lumped_uniform.json | 6 +- examples/cpw/cpw_wave_adaptive.json | 6 +- examples/cpw/cpw_wave_uniform.json | 6 +- palace/fem/coefficient.hpp | 209 +++++++++++--------------- palace/models/postoperator.cpp | 38 ++--- palace/models/surfacepostoperator.cpp | 41 ++--- palace/models/surfacepostoperator.hpp | 3 +- palace/utils/configfile.cpp | 21 +-- palace/utils/configfile.hpp | 12 -- scripts/schema/config/boundaries.json | 3 +- 15 files changed, 139 insertions(+), 258 deletions(-) diff --git a/docs/src/config/boundaries.md b/docs/src/config/boundaries.md index a202f2c11..3dbdb68d4 100644 --- a/docs/src/config/boundaries.md +++ b/docs/src/config/boundaries.md @@ -58,7 +58,6 @@ ], "Postprocessing": { - "Side": , "SurfaceFlux": [ ... @@ -123,19 +122,6 @@ each terminal boundary. `"Postprocessing"` : Top-level object for configuring boundary postprocessing. -`"Side" ["SmallerRefractiveIndex"]` : Defines the postprocessing side for internal -boundary surfaces where the fields are in general double-valued. This is only relevant for -output for [boundary visualization with ParaView](../guide/postprocessing.md#Visualization). -The available options are: - - - `"SmallerRefractiveIndex"` : Take the value from the side where the material index of - refraction is smaller (speed of light is larger). Typically this selects the vacuum - side. For anisotropic materials, the index of refraction associated with the principal - direction with the smallest value is used. - - `"LargerRefractiveIndex"` : Take the value from the side where the material index of - refraction is larger (speed of light is smaller). Typically this selects the non-vacuum - side. - `"SurfaceFlux"` : Array of objects for postprocessing surface flux. `"Dielectric"` : Array of objects for postprocessing surface interface dielectric loss. @@ -572,8 +558,7 @@ axis-aligned bounding box for all elements making up the postprocessing boundary "Type": , "Thickness": , "Permittivity": , - "LossTan": , - "Side": + "LossTan": }, ... ] @@ -585,8 +570,7 @@ with `"Index" [None]` : Index of this dielectric interface, used in postprocessing output files. `"Attributes" [None]` : Integer array of mesh boundary attributes for this dielectric -interface. If the interface consists of multiple elements with different `"Side"` values, -use the `"Elements"` array described below. +interface. `"Type" [None]` : Specifies the type of dielectric interface for this postprocessing boundary. See also [this page](../reference.md#Bulk-and-interface-dielectric-loss). @@ -608,15 +592,3 @@ units. be the interface layer permittivity for the specific `"Type"` of interface specified. `"LossTan" [0.0]` : Loss tangent for this lossy dielectric interface. - -`"Side" ["SmallerRefractiveIndex"]` : Defines the postprocessing side when this dielectric -interface is an internal boundary surface (and thus the electric field on the boundary is in -general double-valued). The available options are: - - - `"SmallerRefractiveIndex"` : Take the value from the side where the material index of - refraction is smaller (speed of light is larger). Typically this selects the vacuum - side. For anisotropic materials, the index of refraction associated with the principal - direction with the smallest value is used. - - `"LargerRefractiveIndex"` : Take the value from the side where the material index of - refraction is larger (speed of light is smaller). Typically this selects the non-vacuum - side. diff --git a/docs/src/guide/boundaries.md b/docs/src/guide/boundaries.md index e9cd74b43..925c1a45d 100644 --- a/docs/src/guide/boundaries.md +++ b/docs/src/guide/boundaries.md @@ -104,7 +104,7 @@ reference. Unlike lumped ports, wave port boundaries cannot be defined internal to the computational domain and instead must exist only on the outer boundary of the domain - (they are to be "one-sided" in the sense that mesh elements only exist on one side of + (they are to be "one-sided" in the sense that mesh elements only exist on one side of the boundary). Wave ports are not currently compatible with nonconformal mesh refinement. diff --git a/examples/cpw/cpw_coax_adaptive.json b/examples/cpw/cpw_coax_adaptive.json index 0c9c40f11..94414b4c5 100644 --- a/examples/cpw/cpw_coax_adaptive.json +++ b/examples/cpw/cpw_coax_adaptive.json @@ -134,8 +134,7 @@ "Type": "MS", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "LargerRefractiveIndex" + "LossTan": 1.0 }, { "Index": 3, @@ -143,8 +142,7 @@ "Type": "MA", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "SmallerRefractiveIndex" + "LossTan": 1.0 } ] } diff --git a/examples/cpw/cpw_coax_uniform.json b/examples/cpw/cpw_coax_uniform.json index c05878e75..ee7429065 100644 --- a/examples/cpw/cpw_coax_uniform.json +++ b/examples/cpw/cpw_coax_uniform.json @@ -134,8 +134,7 @@ "Type": "MS", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "LargerRefractiveIndex" + "LossTan": 1.0 }, { "Index": 3, @@ -143,8 +142,7 @@ "Type": "MA", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "SmallerRefractiveIndex" + "LossTan": 1.0 } ] } diff --git a/examples/cpw/cpw_lumped_adaptive.json b/examples/cpw/cpw_lumped_adaptive.json index 8672eff10..b3558b5eb 100644 --- a/examples/cpw/cpw_lumped_adaptive.json +++ b/examples/cpw/cpw_lumped_adaptive.json @@ -158,8 +158,7 @@ "Type": "MS", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "LargerRefractiveIndex" + "LossTan": 1.0 }, { "Index": 3, @@ -167,8 +166,7 @@ "Type": "MA", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "SmallerRefractiveIndex" + "LossTan": 1.0 } ] } diff --git a/examples/cpw/cpw_lumped_uniform.json b/examples/cpw/cpw_lumped_uniform.json index 4b54ea696..8bff2a0b9 100644 --- a/examples/cpw/cpw_lumped_uniform.json +++ b/examples/cpw/cpw_lumped_uniform.json @@ -158,8 +158,7 @@ "Type": "MS", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "LargerRefractiveIndex" + "LossTan": 1.0 }, { "Index": 3, @@ -167,8 +166,7 @@ "Type": "MA", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "SmallerRefractiveIndex" + "LossTan": 1.0 } ] } diff --git a/examples/cpw/cpw_wave_adaptive.json b/examples/cpw/cpw_wave_adaptive.json index 28ace153d..e903bdf48 100644 --- a/examples/cpw/cpw_wave_adaptive.json +++ b/examples/cpw/cpw_wave_adaptive.json @@ -134,8 +134,7 @@ "Type": "MS", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "LargerRefractiveIndex" + "LossTan": 1.0 }, { "Index": 3, @@ -143,8 +142,7 @@ "Type": "MA", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "SmallerRefractiveIndex" + "LossTan": 1.0 } ] } diff --git a/examples/cpw/cpw_wave_uniform.json b/examples/cpw/cpw_wave_uniform.json index 19b28591d..79403d907 100644 --- a/examples/cpw/cpw_wave_uniform.json +++ b/examples/cpw/cpw_wave_uniform.json @@ -134,8 +134,7 @@ "Type": "MS", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "LargerRefractiveIndex" + "LossTan": 1.0 }, { "Index": 3, @@ -143,8 +142,7 @@ "Type": "MA", "Thickness": 2.0e-3, // μm "Permittivity": 10.0, - "LossTan": 1.0, - "Side": "SmallerRefractiveIndex" + "LossTan": 1.0 } ] } diff --git a/palace/fem/coefficient.hpp b/palace/fem/coefficient.hpp index 357b5c845..c7546066c 100644 --- a/palace/fem/coefficient.hpp +++ b/palace/fem/coefficient.hpp @@ -45,28 +45,6 @@ class BdrGridFunctionCoefficient return GetBdrElementNeighborTransformations(i, mesh, FET, T1, T2, &ip); } - static bool UseElem12(const mfem::FaceElementTransformations &FET, - const MaterialOperator &mat_op) - { - // For interior faces with no way to distinguish on which side to evaluate quantities, - // evaluate on both (using the average or sum, depending on the application). - return (FET.Elem2 && mat_op.GetLightSpeedMax(FET.Elem2->Attribute) == - mat_op.GetLightSpeedMax(FET.Elem1->Attribute)); - } - - static bool UseElem2(const mfem::FaceElementTransformations &FET, - const MaterialOperator &mat_op, bool side_n_min) - { - // For interior faces, compute the value on the side where the speed of light is larger - // (refractive index is smaller, typically should choose the vacuum side). For cases - // where the speeds are the same, use element 1. - return (FET.Elem2 && - ((side_n_min && mat_op.GetLightSpeedMax(FET.Elem2->Attribute) > - mat_op.GetLightSpeedMax(FET.Elem1->Attribute)) || - (!side_n_min && mat_op.GetLightSpeedMax(FET.Elem2->Attribute) < - mat_op.GetLightSpeedMax(FET.Elem1->Attribute)))); - } - public: BdrGridFunctionCoefficient(const mfem::ParMesh &mesh) : mesh(mesh) {} @@ -128,7 +106,7 @@ class BdrSurfaceCurrentVectorCoefficient : public mfem::VectorCoefficient, public: BdrSurfaceCurrentVectorCoefficient(const mfem::ParGridFunction &B, const MaterialOperator &mat_op) - : mfem::VectorCoefficient(mat_op.SpaceDimension()), + : mfem::VectorCoefficient(B.VectorDim()), BdrGridFunctionCoefficient(*B.ParFESpace()->GetParMesh()), B(B), mat_op(mat_op) { } @@ -225,14 +203,15 @@ class BdrSurfaceFluxCoefficient : public mfem::Coefficient, GetLocalFlux(*FET.Elem2, VL); if (two_sided) { - // Add result with opposite normal. + // Add result with opposite normal. This only happens when crack_bdr_elements = + // false (two_sided = true doesn't make sense for an internal boundary without an + // associated BC). VU -= VL; } else { // Take the average of the values on both sides. - VU += VL; - VU *= 0.5; + add(0.5, VU, VL, VU); } } @@ -315,7 +294,6 @@ class InterfaceDielectricCoefficient : public mfem::Coefficient, const GridFunction &E; const MaterialOperator &mat_op; const double t_i, epsilon_i; - bool side_n_min; void Initialize(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip, mfem::Vector *normal) @@ -330,43 +308,46 @@ class InterfaceDielectricCoefficient : public mfem::Coefficient, } } - int GetLocalVectorValue(const mfem::ParGridFunction &U, mfem::Vector &V) const + int GetLocalVectorValue(const mfem::ParGridFunction &U, mfem::Vector &V, + bool vacuum_side) const { - if (UseElem12(FET, mat_op)) + constexpr double threshold = 1.0 - 1.0e-6; + const bool use_elem1 = + ((vacuum_side && mat_op.GetLightSpeedMax(FET.Elem1->Attribute) >= threshold) || + (!vacuum_side && mat_op.GetLightSpeedMax(FET.Elem1->Attribute) < threshold)); + const bool use_elem2 = + (FET.Elem2 && + ((vacuum_side && mat_op.GetLightSpeedMax(FET.Elem2->Attribute) >= threshold) || + (!vacuum_side && mat_op.GetLightSpeedMax(FET.Elem2->Attribute) < threshold))); + if (use_elem1) { - // Doesn't make much sense to have a result from both sides here, so just take the - // side with the larger solution (in most cases, one might be zero). - double W_data[3]; U.GetVectorValue(*FET.Elem1, FET.Elem1->GetIntPoint(), V); - mfem::Vector W(W_data, V.Size()); - U.GetVectorValue(*FET.Elem2, FET.Elem2->GetIntPoint(), W); - if (V * V < W * W) - { - V = W; - return FET.Elem2->Attribute; - } - else + if (use_elem2) { - return FET.Elem1->Attribute; + // Double-sided, not a true boundary. Just average the solution from both sides. + double W_data[3]; + mfem::Vector W(W_data, V.Size()); + U.GetVectorValue(*FET.Elem2, FET.Elem2->GetIntPoint(), W); + add(0.5, V, W, V); } + return FET.Elem1->Attribute; } - else if (UseElem2(FET, mat_op, side_n_min)) + else if (use_elem2) { U.GetVectorValue(*FET.Elem2, FET.Elem2->GetIntPoint(), V); return FET.Elem2->Attribute; } else { - U.GetVectorValue(*FET.Elem1, FET.Elem1->GetIntPoint(), V); - return FET.Elem1->Attribute; + return 0; } } public: InterfaceDielectricCoefficient(const GridFunction &E, const MaterialOperator &mat_op, - double t_i, double epsilon_i, bool side_n_min) + double t_i, double epsilon_i) : mfem::Coefficient(), BdrGridFunctionCoefficient(*E.ParFESpace()->GetParMesh()), E(E), - mat_op(mat_op), t_i(t_i), epsilon_i(epsilon_i), side_n_min(side_n_min) + mat_op(mat_op), t_i(t_i), epsilon_i(epsilon_i) { } @@ -377,15 +358,27 @@ template <> inline double InterfaceDielectricCoefficient::Eval( mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { - // Get single-sided solution and neighboring element attribute. + // Get single-sided solution. + auto GetLocalVectorValueDefault = [this](const mfem::ParGridFunction &U, mfem::Vector &V) + { + U.GetVectorValue(*FET.Elem1, FET.Elem1->GetIntPoint(), V); + if (FET.Elem2) + { + // Double-sided, not a true boundary. Just average the solution from both sides. + double W_data[3]; + mfem::Vector W(W_data, V.Size()); + U.GetVectorValue(*FET.Elem2, FET.Elem2->GetIntPoint(), W); + add(0.5, V, W, V); + } + }; double V_data[3]; mfem::Vector V(V_data, T.GetSpaceDim()); Initialize(T, ip, nullptr); - GetLocalVectorValue(E.Real(), V); + GetLocalVectorValueDefault(E.Real(), V); double V2 = V * V; if (E.HasImag()) { - GetLocalVectorValue(E.Imag(), V); + GetLocalVectorValueDefault(E.Imag(), V); V2 += V * V; } @@ -397,16 +390,20 @@ template <> inline double InterfaceDielectricCoefficient::Eval( mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { - // Get single-sided solution and neighboring element attribute. + // Get single-sided solution on air side and neighboring element attribute. double V_data[3], normal_data[3]; mfem::Vector V(V_data, T.GetSpaceDim()), normal(normal_data, T.GetSpaceDim()); Initialize(T, ip, &normal); - GetLocalVectorValue(E.Real(), V); + int attr = GetLocalVectorValue(E.Real(), V, true); + if (attr <= 0) + { + return 0.0; + } double Vn = V * normal; double Vn2 = Vn * Vn; if (E.HasImag()) { - GetLocalVectorValue(E.Imag(), V); + GetLocalVectorValue(E.Imag(), V, true); Vn = V * normal; Vn2 += Vn * Vn; } @@ -419,18 +416,22 @@ template <> inline double InterfaceDielectricCoefficient::Eval( mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { - // Get single-sided solution and neighboring element attribute. + // Get single-sided solution on substrate side and neighboring element attribute. double V_data[3], W_data[3], normal_data[3]; mfem::Vector V(V_data, T.GetSpaceDim()), W(W_data, T.GetSpaceDim()), normal(normal_data, T.GetSpaceDim()); Initialize(T, ip, &normal); - int attr = GetLocalVectorValue(E.Real(), V); + int attr = GetLocalVectorValue(E.Real(), V, false); + if (attr <= 0) + { + return 0.0; + } mat_op.GetPermittivityReal(attr).Mult(V, W); double Vn = W * normal; double Vn2 = Vn * Vn; if (E.HasImag()) { - GetLocalVectorValue(E.Imag(), V); + GetLocalVectorValue(E.Imag(), V, false); mat_op.GetPermittivityReal(attr).Mult(V, W); Vn = W * normal; Vn2 += Vn * Vn; @@ -444,18 +445,22 @@ template <> inline double InterfaceDielectricCoefficient::Eval( mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { - // Get single-sided solution and neighboring element attribute. + // Get single-sided solution on air side and neighboring element attribute. double V_data[3], normal_data[3]; mfem::Vector V(V_data, T.GetSpaceDim()), normal(normal_data, T.GetSpaceDim()); Initialize(T, ip, &normal); - GetLocalVectorValue(E.Real(), V); + int attr = GetLocalVectorValue(E.Real(), V, true); + if (attr <= 0) + { + return 0.0; + } double Vn = V * normal; V.Add(-Vn, normal); double Vn2 = Vn * Vn; double Vt2 = V * V; if (E.HasImag()) { - GetLocalVectorValue(E.Imag(), V); + GetLocalVectorValue(E.Imag(), V, true); Vn = V * normal; V.Add(-Vn, normal); Vn2 += Vn * Vn; @@ -482,15 +487,13 @@ class EnergyDensityCoefficient : public mfem::Coefficient, public BdrGridFunctio private: const GridFunction &U; const MaterialOperator &mat_op; - bool side_n_min; double GetLocalEnergyDensity(mfem::ElementTransformation &T) const; public: - EnergyDensityCoefficient(const GridFunction &U, const MaterialOperator &mat_op, - bool side_n_min) + EnergyDensityCoefficient(const GridFunction &U, const MaterialOperator &mat_op) : mfem::Coefficient(), BdrGridFunctionCoefficient(*U.ParFESpace()->GetParMesh()), U(U), - mat_op(mat_op), side_n_min(side_n_min) + mat_op(mat_op) { } @@ -505,15 +508,11 @@ class EnergyDensityCoefficient : public mfem::Coefficient, public BdrGridFunctio // Get neighboring elements. GetBdrElementNeighborTransformations(T.ElementNo, ip); - // For interior faces, compute the value on the desired side. - if (UseElem12(FET, mat_op)) - { - return std::max(GetLocalEnergyDensity(*FET.Elem1), - GetLocalEnergyDensity(*FET.Elem2)); - } - else if (UseElem2(FET, mat_op, side_n_min)) + // For interior faces, compute the average value. + if (FET.Elem2) { - return GetLocalEnergyDensity(*FET.Elem2); + return 0.5 * + (GetLocalEnergyDensity(*FET.Elem1) + GetLocalEnergyDensity(*FET.Elem2)); } else { @@ -568,7 +567,6 @@ class PoyntingVectorCoefficient : public mfem::VectorCoefficient, private: const GridFunction &E, &B; const MaterialOperator &mat_op; - bool side_n_min; void GetLocalPower(mfem::ElementTransformation &T, mfem::Vector &V) const { @@ -590,10 +588,9 @@ class PoyntingVectorCoefficient : public mfem::VectorCoefficient, public: PoyntingVectorCoefficient(const GridFunction &E, const GridFunction &B, - const MaterialOperator &mat_op, bool side_n_min) - : mfem::VectorCoefficient(mat_op.SpaceDimension()), - BdrGridFunctionCoefficient(*E.ParFESpace()->GetParMesh()), E(E), B(B), mat_op(mat_op), - side_n_min(side_n_min) + const MaterialOperator &mat_op) + : mfem::VectorCoefficient(E.VectorDim()), + BdrGridFunctionCoefficient(*E.ParFESpace()->GetParMesh()), E(E), B(B), mat_op(mat_op) { } @@ -612,24 +609,13 @@ class PoyntingVectorCoefficient : public mfem::VectorCoefficient, GetBdrElementNeighborTransformations(T.ElementNo, ip); // For interior faces, compute the value on the desired side. - if (UseElem12(FET, mat_op)) + GetLocalPower(*FET.Elem1, V); + if (FET.Elem2) { - GetLocalPower(*FET.Elem1, V); double W_data[3]; mfem::Vector W(W_data, V.Size()); GetLocalPower(*FET.Elem2, W); - if (V * V < W * W) - { - V = W; - } - } - else if (UseElem2(FET, mat_op, side_n_min)) - { - GetLocalPower(*FET.Elem2, V); - } - else - { - GetLocalPower(*FET.Elem1, V); + add(0.5, V, W, V); } return; } @@ -645,15 +631,11 @@ class BdrFieldVectorCoefficient : public mfem::VectorCoefficient, { private: const mfem::ParGridFunction &U; - const MaterialOperator &mat_op; - bool side_n_min; public: - BdrFieldVectorCoefficient(const mfem::ParGridFunction &U, const MaterialOperator &mat_op, - bool side_n_min) - : mfem::VectorCoefficient(mat_op.SpaceDimension()), - BdrGridFunctionCoefficient(*U.ParFESpace()->GetParMesh()), U(U), mat_op(mat_op), - side_n_min(side_n_min) + BdrFieldVectorCoefficient(const mfem::ParGridFunction &U) + : mfem::VectorCoefficient(U.VectorDim()), + BdrGridFunctionCoefficient(*U.ParFESpace()->GetParMesh()), U(U) { } @@ -667,24 +649,13 @@ class BdrFieldVectorCoefficient : public mfem::VectorCoefficient, GetBdrElementNeighborTransformations(T.ElementNo, ip); // For interior faces, compute the value on the desired side. - if (UseElem12(FET, mat_op)) + U.GetVectorValue(*FET.Elem1, FET.Elem1->GetIntPoint(), V); + if (FET.Elem2) { - U.GetVectorValue(*FET.Elem1, FET.Elem1->GetIntPoint(), V); double W_data[3]; mfem::Vector W(W_data, V.Size()); U.GetVectorValue(*FET.Elem2, FET.Elem2->GetIntPoint(), W); - if (V * V < W * W) - { - V = W; - } - } - else if (UseElem2(FET, mat_op, side_n_min)) - { - U.GetVectorValue(*FET.Elem2, FET.Elem2->GetIntPoint(), V); - } - else - { - U.GetVectorValue(*FET.Elem1, FET.Elem1->GetIntPoint(), V); + add(0.5, V, W, V); } } }; @@ -696,14 +667,10 @@ class BdrFieldCoefficient : public mfem::Coefficient, public BdrGridFunctionCoef { private: const mfem::ParGridFunction &U; - const MaterialOperator &mat_op; - bool side_n_min; public: - BdrFieldCoefficient(const mfem::ParGridFunction &U, const MaterialOperator &mat_op, - bool side_n_min) - : mfem::Coefficient(), BdrGridFunctionCoefficient(*U.ParFESpace()->GetParMesh()), U(U), - mat_op(mat_op), side_n_min(side_n_min) + BdrFieldCoefficient(const mfem::ParGridFunction &U) + : mfem::Coefficient(), BdrGridFunctionCoefficient(*U.ParFESpace()->GetParMesh()), U(U) { } @@ -715,14 +682,10 @@ class BdrFieldCoefficient : public mfem::Coefficient, public BdrGridFunctionCoef GetBdrElementNeighborTransformations(T.ElementNo, ip); // For interior faces, compute the value on the desired side. - if (UseElem12(FET, mat_op)) - { - return std::max(U.GetValue(*FET.Elem1, FET.Elem1->GetIntPoint()), - U.GetValue(*FET.Elem2, FET.Elem2->GetIntPoint())); - } - else if (UseElem2(FET, mat_op, side_n_min)) + if (FET.Elem2) { - return U.GetValue(*FET.Elem2, FET.Elem2->GetIntPoint()); + return 0.5 * (U.GetValue(*FET.Elem1, FET.Elem1->GetIntPoint()), + U.GetValue(*FET.Elem2, FET.Elem2->GetIntPoint())); } else { diff --git a/palace/models/postoperator.cpp b/palace/models/postoperator.cpp index 2748e371d..2a584b6ba 100644 --- a/palace/models/postoperator.cpp +++ b/palace/models/postoperator.cpp @@ -54,23 +54,19 @@ PostOperator::PostOperator(const IoData &iodata, SpaceOperator &space_op, &space_op.GetNDSpace().GetParMesh()), interp_op(iodata, space_op.GetNDSpace().GetParMesh()) { - bool side_n_min = (iodata.boundaries.postpro.side == - config::InterfaceDielectricData::Side::SMALLER_REF_INDEX); - U_e = std::make_unique>(*E, mat_op, - side_n_min); - U_m = std::make_unique>(*B, mat_op, - side_n_min); - S = std::make_unique(*E, *B, mat_op, side_n_min); - - E_sr = std::make_unique(E->Real(), mat_op, side_n_min); - B_sr = std::make_unique(B->Real(), mat_op, side_n_min); + U_e = std::make_unique>(*E, mat_op); + U_m = std::make_unique>(*B, mat_op); + S = std::make_unique(*E, *B, mat_op); + + E_sr = std::make_unique(E->Real()); + B_sr = std::make_unique(B->Real()); J_sr = std::make_unique(B->Real(), mat_op); Q_sr = std::make_unique>( &E->Real(), nullptr, mat_op, true, mfem::Vector()); if (HasImag()) { - E_si = std::make_unique(E->Imag(), mat_op, side_n_min); - B_si = std::make_unique(B->Imag(), mat_op, side_n_min); + E_si = std::make_unique(E->Imag()); + B_si = std::make_unique(B->Imag()); J_si = std::make_unique(B->Imag(), mat_op); Q_si = std::make_unique>( &E->Imag(), nullptr, mat_op, true, mfem::Vector()); @@ -104,13 +100,10 @@ PostOperator::PostOperator(const IoData &iodata, LaplaceOperator &laplace_op, // Note: When using this constructor, you should not use any of the magnetic field related // postprocessing functions (magnetic field energy, inductor energy, surface currents, // etc.), since only V and E fields are supplied. - bool side_n_min = (iodata.boundaries.postpro.side == - config::InterfaceDielectricData::Side::SMALLER_REF_INDEX); - U_e = std::make_unique>(*E, mat_op, - side_n_min); + U_e = std::make_unique>(*E, mat_op); - E_sr = std::make_unique(E->Real(), mat_op, side_n_min); - V_s = std::make_unique(V->Real(), mat_op, side_n_min); + E_sr = std::make_unique(E->Real()); + V_s = std::make_unique(V->Real()); Q_sr = std::make_unique>( &E->Real(), nullptr, mat_op, true, mfem::Vector()); @@ -134,13 +127,10 @@ PostOperator::PostOperator(const IoData &iodata, CurlCurlOperator &curlcurl_op, // Note: When using this constructor, you should not use any of the electric field related // postprocessing functions (electric field energy, capacitor energy, surface charge, // etc.), since only the B field is supplied. - bool side_n_min = (iodata.boundaries.postpro.side == - config::InterfaceDielectricData::Side::SMALLER_REF_INDEX); - U_m = std::make_unique>(*B, mat_op, - side_n_min); + U_m = std::make_unique>(*B, mat_op); - B_sr = std::make_unique(B->Real(), mat_op, side_n_min); - A_s = std::make_unique(A->Real(), mat_op, side_n_min); + B_sr = std::make_unique(B->Real()); + A_s = std::make_unique(A->Real()); J_sr = std::make_unique(B->Real(), mat_op); // Initialize data collection objects. diff --git a/palace/models/surfacepostoperator.cpp b/palace/models/surfacepostoperator.cpp index 779966482..9f63f6f75 100644 --- a/palace/models/surfacepostoperator.cpp +++ b/palace/models/surfacepostoperator.cpp @@ -156,10 +156,6 @@ SurfacePostOperator::InterfaceDielectricData::InterfaceDielectricData( t = data.t; epsilon = data.epsilon_r; tandelta = data.tandelta; - - // Side of internal boundaries on which to compute the electric field values, given as the - // material with lower or higher index of refraction (higher or lower speed of light). - side_n_min = (data.side == config::InterfaceDielectricData::Side::SMALLER_REF_INDEX); } std::unique_ptr @@ -171,19 +167,19 @@ SurfacePostOperator::InterfaceDielectricData::GetCoefficient( case InterfaceDielectricType::DEFAULT: return std::make_unique>>( - attr_list, E, mat_op, t, epsilon, side_n_min); + attr_list, E, mat_op, t, epsilon); case InterfaceDielectricType::MA: return std::make_unique>>( - attr_list, E, mat_op, t, epsilon, side_n_min); + InterfaceDielectricCoefficient>>(attr_list, E, + mat_op, t, epsilon); case InterfaceDielectricType::MS: return std::make_unique>>( - attr_list, E, mat_op, t, epsilon, side_n_min); + InterfaceDielectricCoefficient>>(attr_list, E, + mat_op, t, epsilon); case InterfaceDielectricType::SA: return std::make_unique>>( - attr_list, E, mat_op, t, epsilon, side_n_min); + InterfaceDielectricCoefficient>>(attr_list, E, + mat_op, t, epsilon); } return {}; // For compiler warning } @@ -243,14 +239,17 @@ std::complex SurfacePostOperator::GetSurfaceFlux(int idx, const GridFunc MFEM_VERIFY(it != flux_surfs.end(), "Unknown surface flux postprocessing index requested!"); const bool has_imag = (E) ? E->HasImag() : B->HasImag(); + const auto &mesh = *h1_fespace.GetParMesh(); + int bdr_attr_max = mesh.bdr_attributes.Size() ? mesh.bdr_attributes.Max() : 0; + mfem::Array attr_marker = mesh::AttrToMarker(bdr_attr_max, it->second.attr_list); auto f = it->second.GetCoefficient(E ? &E->Real() : nullptr, B ? &B->Real() : nullptr, mat_op); - std::complex dot(GetLocalSurfaceIntegral(*f, it->second.attr_list), 0.0); + std::complex dot(GetLocalSurfaceIntegral(*f, attr_marker), 0.0); if (has_imag) { f = it->second.GetCoefficient(E ? &E->Imag() : nullptr, B ? &B->Imag() : nullptr, mat_op); - double doti = GetLocalSurfaceIntegral(*f, it->second.attr_list); + double doti = GetLocalSurfaceIntegral(*f, attr_marker); if (it->second.type == SurfaceFluxType::POWER) { dot += doti; @@ -278,21 +277,23 @@ double SurfacePostOperator::GetInterfaceElectricFieldEnergy(int idx, auto it = eps_surfs.find(idx); MFEM_VERIFY(it != eps_surfs.end(), "Unknown interface dielectric postprocessing index requested!"); + const auto &mesh = *h1_fespace.GetParMesh(); + int bdr_attr_max = mesh.bdr_attributes.Size() ? mesh.bdr_attributes.Max() : 0; + mfem::Array attr_marker = mesh::AttrToMarker(bdr_attr_max, it->second.attr_list); auto f = it->second.GetCoefficient(E, mat_op); - double dot = GetLocalSurfaceIntegral(*f, it->second.attr_list); + double dot = GetLocalSurfaceIntegral(*f, attr_marker); Mpi::GlobalSum(1, &dot, E.GetComm()); return dot; } -double SurfacePostOperator::GetLocalSurfaceIntegral(mfem::Coefficient &f, - const mfem::Array &attr_list) const +double +SurfacePostOperator::GetLocalSurfaceIntegral(mfem::Coefficient &f, + const mfem::Array &attr_marker) const { // Integrate the coefficient over the boundary attributes making up this surface index. - const auto &mesh = *h1_fespace.GetParMesh(); - int bdr_attr_max = mesh.bdr_attributes.Size() ? mesh.bdr_attributes.Max() : 0; - mfem::Array attr_marker = mesh::AttrToMarker(bdr_attr_max, attr_list); mfem::LinearForm s(&h1_fespace); - s.AddBoundaryIntegrator(new BoundaryLFIntegrator(f), attr_marker); + s.AddBoundaryIntegrator(new BoundaryLFIntegrator(f), + const_cast &>(attr_marker)); s.UseFastAssembly(false); s.UseDevice(false); s.Assemble(); diff --git a/palace/models/surfacepostoperator.hpp b/palace/models/surfacepostoperator.hpp index cf30bdfbf..f514bde8f 100644 --- a/palace/models/surfacepostoperator.hpp +++ b/palace/models/surfacepostoperator.hpp @@ -56,7 +56,6 @@ class SurfacePostOperator { InterfaceDielectricType type; double t, epsilon, tandelta; - bool side_n_min; InterfaceDielectricData(const config::InterfaceDielectricData &data, const mfem::ParMesh &mesh, @@ -74,7 +73,7 @@ class SurfacePostOperator mfem::ParFiniteElementSpace &h1_fespace; double GetLocalSurfaceIntegral(mfem::Coefficient &f, - const mfem::Array &attr_list) const; + const mfem::Array &attr_marker) const; public: // Data structures for postprocessing the surface with the given type. diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index 2f76797cb..9a33720f9 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -1231,17 +1231,12 @@ void SurfaceFluxPostData::SetUp(json &postpro) } } -// Helper for converting string keys to enum for InterfaceDielectricData::Type and -// InterfaceDielectricData::Side. +// Helper for converting string keys to enum for InterfaceDielectricData::Type. PALACE_JSON_SERIALIZE_ENUM(InterfaceDielectricData::Type, {{InterfaceDielectricData::Type::DEFAULT, "Default"}, {InterfaceDielectricData::Type::MA, "MA"}, {InterfaceDielectricData::Type::MS, "MS"}, {InterfaceDielectricData::Type::SA, "SA"}}) -PALACE_JSON_SERIALIZE_ENUM( - InterfaceDielectricData::Side, - {{InterfaceDielectricData::Side::SMALLER_REF_INDEX, "SmallerRefractiveIndex"}, - {InterfaceDielectricData::Side::LARGER_REF_INDEX, "LargerRefractiveIndex"}}) void InterfaceDielectricPostData::SetUp(json &postpro) { @@ -1270,7 +1265,6 @@ void InterfaceDielectricPostData::SetUp(json &postpro) data.t = it->at("Thickness"); // Required data.epsilon_r = it->at("Permittivity"); // Required data.tandelta = it->value("LossTan", data.tandelta); - data.side = it->value("Side", data.side); // Cleanup it->erase("Index"); @@ -1279,7 +1273,6 @@ void InterfaceDielectricPostData::SetUp(json &postpro) it->erase("Thickness"); it->erase("Permittivity"); it->erase("LossTan"); - it->erase("Side"); MFEM_VERIFY(it->empty(), "Found an unsupported configuration file keyword under \"Dielectric\"!\n" << it->dump(2)); @@ -1293,11 +1286,9 @@ void InterfaceDielectricPostData::SetUp(json &postpro) std::cout << "Thickness: " << data.t << '\n'; std::cout << "Permittivity: " << data.epsilon_r << '\n'; std::cout << "LossTan: " << data.tandelta << '\n'; - std::cout << "Side: " << data.side << '\n'; } } } - void BoundaryPostData::SetUp(json &boundaries) { auto postpro = boundaries.find("Postprocessing"); @@ -1305,8 +1296,6 @@ void BoundaryPostData::SetUp(json &boundaries) { return; } - side = postpro->value("Side", side); - flux.SetUp(*postpro); dielectric.SetUp(*postpro); @@ -1324,19 +1313,11 @@ void BoundaryPostData::SetUp(json &boundaries) attributes.shrink_to_fit(); // Cleanup - postpro->erase("Side"); - postpro->erase("SurfaceFlux"); postpro->erase("Dielectric"); MFEM_VERIFY(postpro->empty(), "Found an unsupported configuration file keyword under \"Postprocessing\"!\n" << postpro->dump(2)); - - // Debug - if constexpr (JSON_DEBUG) - { - std::cout << "Side: " << side << '\n'; - } } void BoundaryData::SetUp(json &config) diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index 337416845..ceea3e9c7 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -566,14 +566,6 @@ struct InterfaceDielectricData // Loss tangent. double tandelta = 0.0; - // Side of internal boundaries on which to evaluate discontinuous field quantities. - enum class Side - { - SMALLER_REF_INDEX, - LARGER_REF_INDEX - }; - InterfaceDielectricData::Side side = InterfaceDielectricData::Side::SMALLER_REF_INDEX; - // List of boundary attributes for this interface dielectric postprocessing index. std::vector attributes = {}; }; @@ -587,10 +579,6 @@ struct InterfaceDielectricPostData : public internal::DataMap attributes = {}; diff --git a/scripts/schema/config/boundaries.json b/scripts/schema/config/boundaries.json index f14b08fb1..38bfe7b11 100644 --- a/scripts/schema/config/boundaries.json +++ b/scripts/schema/config/boundaries.json @@ -268,8 +268,7 @@ "Type": { "type": "string", "enum": ["Default", "MA", "MS", "SA"] }, "Thickness": { "type": "number" }, "Permittivity": { "type": "number" }, - "LossTan": { "type": "number" }, - "Side": { "type": "string", "enum": ["SmallerRefractiveIndex", "LargerRefractiveIndex"] } + "LossTan": { "type": "number" } } } } From b03a6a41112db8bbca7fc1da69f02546bc88200a Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Mon, 10 Jun 2024 11:14:39 -0700 Subject: [PATCH 17/24] Add mesh displacement for interior boundary cracking to help boundary visualization --- palace/fem/coefficient.hpp | 2 +- palace/utils/geodata.cpp | 129 ++++++++++++++++++++++++++++++++++++- 2 files changed, 127 insertions(+), 4 deletions(-) diff --git a/palace/fem/coefficient.hpp b/palace/fem/coefficient.hpp index c7546066c..6ee5a2f70 100644 --- a/palace/fem/coefficient.hpp +++ b/palace/fem/coefficient.hpp @@ -364,7 +364,7 @@ inline double InterfaceDielectricCoefficient:: U.GetVectorValue(*FET.Elem1, FET.Elem1->GetIntPoint(), V); if (FET.Elem2) { - // Double-sided, not a true boundary. Just average the solution from both sides. + // Double-sided, not a true boundary. Just average the field solution from both sides. double W_data[3]; mfem::Vector W(W_data, V.Size()); U.GetVectorValue(*FET.Elem2, FET.Elem2->GetIntPoint(), W); diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index f3b65ad2e..a4b3c0d3e 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -2759,7 +2759,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, // Add duplicated vertices from interior boundary cracking, renumber the vertices of // domain and boundary elements to tear the mesh, and add new crack boundary elements. - if (!crack_bdr_attr_list.empty()) + if (!crack_bdr_attr_list.empty() && !crack_bdr_elem.empty()) { // Add duplicate vertices. We assign the vertex number of the duplicated vertex in order // to update the element connectivities in the next step. @@ -2869,7 +2869,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } // Add new boundary elements. - if (add_bdr_elem) + if (add_bdr_elem && !new_face_bdr_elem.empty()) { // Some (1-based) boundary attributes may be empty since they were removed from the // original mesh, but to keep attributes the same as config file we don't compress the @@ -2950,13 +2950,136 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } } - // Finalize the new mesh topology, and copy mesh curvature information if needed. + // Finalize the new mesh topology, and copy mesh curvature information if needed. This + // copies the nodes over correctly accounting for the element topology changes (the number + // of elements in the mesh has not changed, just their connectivity has). constexpr bool generate_bdr = false; new_mesh->FinalizeTopology(generate_bdr); if (orig_mesh->GetNodes()) { TransferHighOrderNodes(*orig_mesh, *new_mesh); } + + // If we have added cracks for interior boundary elements, apply a very very small + // perturbation to separate the duplicated boundary elements on either side and prevent + // them from lying exactly on top of each other. This is mostly just for visualization + // and can be increased in magnitude for debugging. + if (!crack_bdr_attr_list.empty() && !crack_bdr_elem.empty()) + { + // mfem::Mesh::MoveNodes expects byNODES ordering when using vertices. + mfem::GridFunction *nodes = new_mesh->GetNodes(); + mfem::Ordering::Type ordering = + nodes ? nodes->FESpace()->GetOrdering() : mfem::Ordering::byNODES; + int sdim = new_mesh->SpaceDimension(); + int nv = nodes ? nodes->Size() / sdim : new_mesh->GetNV(); + auto Index = [&](int v, int d) + { return (ordering == mfem::Ordering::byVDIM) ? sdim * v + d : d * nv + v; }; + mfem::Vector normal(sdim); + mfem::IsoparametricTransformation T; + mfem::Array dofs; + + // Compute the displacement as the average normal of the attached boundary elements. + mfem::Vector displacements(nv * sdim); + displacements = 0.0; + double h_min = mfem::infinity(); + const mfem::Table &elem_to_face = orig_mesh->ElementToFaceTable(); + const mfem::Table &new_elem_to_face = new_mesh->ElementToFaceTable(); + for (auto be : crack_bdr_elem) + { + // Get the neighboring elements (same indices in the old and new mesh). + int f, o, e1, e2; + orig_mesh->GetBdrElementFace(be, &f, &o); + orig_mesh->GetFaceElements(f, &e1, &e2); + + // Perturb both new boundary elements in opposite directions. + for (auto e : {e1, e2}) + { + // Find the index of the face in the old element, which matches the new element, so + // we can get the list of all vertices or nodes to perturb. + const int *faces = elem_to_face.GetRow(e); + int i; + for (i = 0; i < elem_to_face.RowSize(e); i++) + { + if (faces[i] == f) + { + break; + } + } + MFEM_VERIFY(i < elem_to_face.RowSize(e), "Unable to locate face in element!"); + + // Compute the element normal, oriented to point outward from element 1 initially. + int new_f = new_elem_to_face.GetRow(e)[i]; + if (e == e1) + { + new_mesh->GetFaceTransformation(new_f, &T); + const mfem::IntegrationPoint &ip = + mfem::Geometries.GetCenter(T.GetGeometryType()); + T.SetIntPoint(&ip); + mfem::CalcOrtho(T.Jacobian(), normal); + double s = normal.Norml2(); + h_min = std::min(h_min, std::sqrt(s)); + normal /= -s; // We could also area-weight the average normal + } + else // e == e2 + { + normal *= -1.0; + } + + // For all "nodes" associated with this crack face, update the direction of their + // displacements. + auto NodeUpdate = [&](int v) + { + for (int d = 0; d < sdim; d++) + { + const int idx = Index(v, d); + displacements(idx) += normal(d); + } + }; + if (nodes) + { + nodes->FESpace()->GetFaceDofs(new_f, dofs); + for (int j = 0; j < dofs.Size(); j++) + { + NodeUpdate(dofs[j]); + } + } + else + { + const mfem::Element *el = new_mesh->GetElement(e); + for (int j = 0; j < el->GetNFaceVertices(i); j++) + { + NodeUpdate(el->GetVertices()[el->GetFaceVertices(i)[j]]); + } + } + } + } + for (int v = 0; v < nv; v++) + { + double s = 0.0; + for (int d = 0; d < sdim; d++) + { + const int idx = Index(v, d); + s += displacements(idx) * displacements(idx); + } + if (s > 0.0) + { + s = std::sqrt(s); + for (int d = 0; d < sdim; d++) + { + const int idx = Index(v, d); + displacements(idx) /= s; + } + } + } + + // Scale and apply the displacements. We don't need to do anything special to constrain + // the displacements at seam vertices (and associated high-order nodes on seam edges) to + // to zero, because the normals from both sides will average out to zero. + displacements *= + (1.0e-3 * h_min / (nodes ? nodes->FESpace()->GetMaxElementOrder() : 1)); + new_mesh->MoveNodes(displacements); + } + orig_mesh = std::move(new_mesh); return 1; // Success } From a93f6b0ab192840fea1b1280fc9603bf250e3fab Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Mon, 10 Jun 2024 15:51:49 -0700 Subject: [PATCH 18/24] Add configuration file parameter to modify interior boundary crack displacement --- docs/src/config/model.md | 1 + palace/utils/configfile.cpp | 3 +++ palace/utils/configfile.hpp | 4 ++++ palace/utils/geodata.cpp | 15 ++++++++------- scripts/schema/config/model.json | 1 + 5 files changed, 17 insertions(+), 7 deletions(-) diff --git a/docs/src/config/model.md b/docs/src/config/model.md index 721fae24a..7565b27a6 100644 --- a/docs/src/config/model.md +++ b/docs/src/config/model.md @@ -120,6 +120,7 @@ mesh length units. - `"CleanUnusedElements" [true]` - `"CrackInternalBoundaryElements" [true]` - `"RefineCrackElements" [true]` + - `"CrackDisplacementFactor" [1.0e-3]` - `"AddInterfaceBoundaryElements" [true]` - `"ReorientTetMesh" [false]` - `"Partitioning" [""]` diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index 9a33720f9..157e1c559 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -472,6 +472,7 @@ void ModelData::SetUp(json &config) clean_unused_elements = model->value("CleanUnusedElements", clean_unused_elements); crack_bdr_elements = model->value("CrackInternalBoundaryElements", crack_bdr_elements); refine_crack_elements = model->value("RefineCrackElements", refine_crack_elements); + crack_displ_factor = model->value("CrackDisplacementFactor", crack_displ_factor); add_bdr_elements = model->value("AddInterfaceBoundaryElements", add_bdr_elements); reorient_tet_mesh = model->value("ReorientTetMesh", reorient_tet_mesh); partitioning = model->value("Partitioning", partitioning); @@ -488,6 +489,7 @@ void ModelData::SetUp(json &config) model->erase("CleanUnusedElements"); model->erase("CrackInternalBoundaryElements"); model->erase("RefineCrackElements"); + model->erase("CrackDisplacementFactor"); model->erase("AddInterfaceBoundaryElements"); model->erase("ReorientTetMesh"); model->erase("Partitioning"); @@ -509,6 +511,7 @@ void ModelData::SetUp(json &config) std::cout << "CleanUnusedElements: " << clean_unused_elements << '\n'; std::cout << "CrackInternalBoundaryElements: " << crack_bdr_elements << '\n'; std::cout << "RefineCrackElements: " << refine_crack_elements << '\n'; + std::cout << "CrackDisplacementFactor: " << crack_displ_factor << '\n'; std::cout << "AddInterfaceBoundaryElements: " << add_bdr_elements << '\n'; std::cout << "ReorientTetMesh: " << reorient_tet_mesh << '\n'; std::cout << "Partitioning: " << partitioning << '\n'; diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index ceea3e9c7..2388689f7 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -227,6 +227,10 @@ struct ModelData // decoupling. bool refine_crack_elements = true; + // Factor for displacing duplicated interior boundary elements, usually added just for + // visualization. + double crack_displ_factor = 1.0e-3; + // Add new boundary elements for faces are on the computational domain boundary or which // have attached elements on either side with different domain attributes. bool add_bdr_elements = true; diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index a4b3c0d3e..05c0f28cf 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -61,7 +61,7 @@ std::unordered_map CheckMesh(const mfem::Mesh &, const std::vector &, std::unordered_map &, - const std::vector &, bool, bool); + const std::vector &, bool, double, bool); // Generate element-based mesh partitioning, using either a provided file or METIS. std::unique_ptr GetMeshPartitioning(const mfem::Mesh &, int, @@ -207,9 +207,9 @@ std::unique_ptr ReadMesh(MPI_Comm comm, const IoData &iodata) while (!success) { // May require multiple calls due to early exit/retry approach. - success = AddInterfaceBdrElements(smesh, face_to_be, crack_bdr_attr_list, - iodata.model.refine_crack_elements, - iodata.model.add_bdr_elements); + success = AddInterfaceBdrElements( + smesh, face_to_be, crack_bdr_attr_list, iodata.model.refine_crack_elements, + iodata.model.crack_displ_factor, iodata.model.add_bdr_elements); } } @@ -2416,7 +2416,8 @@ class InterfaceRefinementMesh : public mfem::Mesh int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, std::unordered_map &face_to_be, const std::vector &crack_bdr_attr_list, - bool refine_crack_elem, bool add_bdr_elem) + bool refine_crack_elem, double crack_displ_factor, + bool add_bdr_elem) { // Return if nothing to do. Otherwise, count vertices and boundary elements to add. if (crack_bdr_attr_list.empty() && !add_bdr_elem) @@ -2964,7 +2965,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, // perturbation to separate the duplicated boundary elements on either side and prevent // them from lying exactly on top of each other. This is mostly just for visualization // and can be increased in magnitude for debugging. - if (!crack_bdr_attr_list.empty() && !crack_bdr_elem.empty()) + if (!crack_bdr_attr_list.empty() && !crack_bdr_elem.empty() && crack_displ_factor > 0.0) { // mfem::Mesh::MoveNodes expects byNODES ordering when using vertices. mfem::GridFunction *nodes = new_mesh->GetNodes(); @@ -3076,7 +3077,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, // the displacements at seam vertices (and associated high-order nodes on seam edges) to // to zero, because the normals from both sides will average out to zero. displacements *= - (1.0e-3 * h_min / (nodes ? nodes->FESpace()->GetMaxElementOrder() : 1)); + (crack_displ_factor * h_min / (nodes ? nodes->FESpace()->GetMaxElementOrder() : 1)); new_mesh->MoveNodes(displacements); } diff --git a/scripts/schema/config/model.json b/scripts/schema/config/model.json index de108fe6d..8097d9264 100644 --- a/scripts/schema/config/model.json +++ b/scripts/schema/config/model.json @@ -16,6 +16,7 @@ "CleanUnusedElements": { "type": "boolean" }, "CrackInternalBoundaryElements": { "type": "boolean" }, "RefineCrackElements": { "type": "boolean" }, + "CrackDisplacementFactor": { "type": "number", "inclusiveMinimum": 0.0 }, "AddInterfaceBoundaryElements": { "type": "boolean" }, "ReorientTetMesh": { "type": "boolean" }, "Partitioning": { "type": "string" }, From ca3245a04ab85e0eb70bcf93df5e1baf83bf5cc0 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Mon, 10 Jun 2024 18:33:26 -0700 Subject: [PATCH 19/24] Further improve underresolved internal boundary refinement --- palace/utils/geodata.cpp | 16 ++++++++++------ 1 file changed, 10 insertions(+), 6 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 05c0f28cf..b2aa16e22 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -2615,6 +2615,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } } static int new_ne_ref = 0; + static int new_ref_its = 0; if (!elem_to_refine.empty()) { // Locally refine the mesh using conformal refinement. If necessary, convert the @@ -2640,15 +2641,16 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, // elements at the cost of a potential minor mesh quality degredation. refinements.Append(mfem::Refinement(e, mfem::Refinement::X)); } - if (mesh::CheckElements(*orig_mesh).has_simplices && - !mesh::CheckRefinementFlags(*orig_mesh)) + if (mesh::CheckElements(*orig_mesh).has_simplices) { // Mark tetrahedral mesh for refinement before doing local refinement. This is a // bit of a strange pattern to override the standard conforming refinement of the // mfem::Mesh class. We want to implement our own edge marking of the tetrahedra, // so we move the mesh to a constructed derived class object, mark it, and then // move assign it to the original base class object before refining. All of these - // moves should be cheap without any extra memory allocation. + // moves should be cheap without any extra memory allocation. Also, we mark the + // mesh every time to ensure multiple rounds of refinement target the interior + // boundary (we don't care about preserving the refinement hierarchy). constexpr bool refine = true, fix_orientation = false; InterfaceRefinementMesh ref_mesh(std::move(*orig_mesh), crack_vert_duplicates); ref_mesh.Finalize(refine, fix_orientation); @@ -2656,14 +2658,16 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } orig_mesh->GeneralRefinement(refinements, 0); new_ne_ref += orig_mesh->GetNE() - ne; + new_ref_its++; face_to_be.clear(); return 0; // Mesh was refined (conformally), start over } else if (new_ne_ref > 0) { - Mpi::Print("Added {:d} elements from local mesh refinement of under-resolved " - "interior boundaries\n", - new_ne_ref); + Mpi::Print( + "Added {:d} elements in {:d} iterations of local bisection for under-resolved " + "interior boundaries\n", + new_ne_ref, new_ref_its); } } From 0c6e7de09ad32cb59d0447d44aeb0780d675ff25 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Wed, 12 Jun 2024 16:14:16 -0700 Subject: [PATCH 20/24] Fix AMR + uniform refinement with tet meshes marking --- palace/drivers/basesolver.cpp | 2 +- palace/utils/geodata.cpp | 6 +++++- 2 files changed, 6 insertions(+), 2 deletions(-) diff --git a/palace/drivers/basesolver.cpp b/palace/drivers/basesolver.cpp index fdacc0f47..c4c628d28 100644 --- a/palace/drivers/basesolver.cpp +++ b/palace/drivers/basesolver.cpp @@ -147,7 +147,7 @@ void BaseSolver::SolveEstimateMarkRefine(std::vector> &mes Mpi::Warning("AMR is not currently supported for transient simulations!\n"); return false; } - return refinement.max_it > 0; + return (refinement.max_it > 0); }(); if (use_amr && mesh.size() > 1) { diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index b2aa16e22..e3ad5bf2c 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -367,9 +367,13 @@ void RefineMesh(const IoData &iodata, std::vector // Simplex meshes need to be re-finalized in order to use local refinement (see // the docstring for mfem::Mesh::UniformRefinement). const auto element_types = mesh::CheckElements(*mesh.back()); - if (uniform_ref_levels > 0 && element_types.has_simplices) + if (element_types.has_simplices && uniform_ref_levels > 0 && + (max_region_ref_levels > 0 || iodata.model.refinement.max_it > 0)) { constexpr bool refine = true, fix_orientation = false; + Mpi::Print("\nFlattening mesh sequence:\n Local mesh refinement will start from the " + "final uniformly-refined mesh\n"); + mesh.erase(mesh.begin(), mesh.end() - 1); mesh.back()->Finalize(refine, fix_orientation); } From 87772c08c80ab1175622ae9c5a166407cab4e906 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Wed, 19 Jun 2024 17:19:28 -0700 Subject: [PATCH 21/24] Performance upgrades for mesh cracking --- palace/utils/geodata.cpp | 130 ++++++++++++++++++++++++--------------- 1 file changed, 79 insertions(+), 51 deletions(-) diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index e3ad5bf2c..71d0b2a1f 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -6,11 +6,9 @@ #include #include #include -#include #include #include #include -#include #include #include #include @@ -1805,7 +1803,7 @@ void TransferHighOrderNodes(const mfem::Mesh &orig_mesh, mfem::Mesh &new_mesh, // Transfer dofs from the old mesh to the new ones. Either consider all elements (works // for orientation or numbering changes), or use the prescribed old to new element index // map. - mfem::Array vdofs, new_vdofs; + mfem::Array vdofs; mfem::Vector loc_vec; for (int e = 0; e < orig_mesh.GetNE(); e++) { @@ -1814,8 +1812,8 @@ void TransferHighOrderNodes(const mfem::Mesh &orig_mesh, mfem::Mesh &new_mesh, // No need for DofTransformation here since spaces are H1 or L2. fespace->GetElementVDofs(e, vdofs); nodes->GetSubVector(vdofs, loc_vec); - new_fespace->GetElementVDofs(!elem_delete_map ? e : (*elem_delete_map)[e], new_vdofs); - new_nodes->SetSubVector(new_vdofs, loc_vec); + new_fespace->GetElementVDofs(!elem_delete_map ? e : (*elem_delete_map)[e], vdofs); + new_nodes->SetSubVector(vdofs, loc_vec); } } } @@ -2077,7 +2075,6 @@ void SplitMeshElements(std::unique_ptr &orig_mesh, bool make_simplex MFEM_VERIFY( !element_types.has_pyramids, "Splitting mesh elements to simplices does not support pyramid elements yet!"); - if (preserve_curvature && mesh->GetNodes() && !orig_mesh_attr.Size()) { BackUpAttributes(*mesh); @@ -2355,12 +2352,12 @@ std::unordered_map CheckMesh(const mfem::Mesh &mesh, } template -class InterfaceRefinementMesh : public mfem::Mesh +class EdgeRefinementMesh : public mfem::Mesh { private: - // Container with keys being the vertex indicies (match row/column indices of v_to_v) - // of vertices lying on the interface to be refined. - const T &interface_vertices; + // Container with keys being pairs of vertex indicies (match row/column indices of v_to_v) + // of edges which we desire to be refined. + const T &refinement_edges; void MarkTetMeshForRefinement(const mfem::DSTable &v_to_v) override { @@ -2371,14 +2368,13 @@ class InterfaceRefinementMesh : public mfem::Mesh // after the marked elements are refined. mfem::Array lengths; GetEdgeLengths2(v_to_v, lengths); - const auto min_length = 0.1 * lengths.Min(); + const auto min_length = 0.01 * lengths.Min(); for (int i = 0; i < v_to_v.NumberOfRows(); i++) { - bool has_i = (interface_vertices.find(i) != interface_vertices.end()); for (mfem::DSTable::RowIterator it(v_to_v, i); !it; ++it) { int j = it.Column(); - if (!has_i || interface_vertices.find(j) == interface_vertices.end()) + if (refinement_edges.find({i, j}) == refinement_edges.end()) { // "Zero" the edge lengths which do not connect vertices on the interface. Avoid // zero-length edges just in case. @@ -2411,9 +2407,32 @@ class InterfaceRefinementMesh : public mfem::Mesh } public: - InterfaceRefinementMesh(mfem::Mesh &&mesh, const T &interface_vertices) - : mfem::Mesh(std::move(mesh)), interface_vertices(interface_vertices) + EdgeRefinementMesh(mfem::Mesh &&mesh, const T &refinement_edges) + : mfem::Mesh(std::move(mesh)), refinement_edges(refinement_edges) + { + } +}; + +template +struct UnorderedPair +{ + T first, second; + UnorderedPair(T first, T second) : first(first), second(second) {} + bool operator==(const UnorderedPair &v) const + { + return ((v.first == first && v.second == second) || + (v.first == second && v.second == first)); + } +}; + +template +struct UnorderedPairHasher +{ + std::size_t operator()(const UnorderedPair &v) const { + // Simple hash function for a pair, see https://tinyurl.com/2k4phapb. + return std::hash()(std::min(v.first, v.second)) ^ + std::hash()(std::max(v.first, v.second)) << 1; } }; @@ -2554,7 +2573,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, // renumbering so is not saved. We still keep entries for non-duplicated crack // vertices in the set to track them as processed, however. auto &vert_components = crack_vert_duplicates.try_emplace(v).first->second; - for (auto it = components.begin() + 1; it != components.end(); it++) + for (auto it = components.begin() + 1; it != components.end(); ++it) { vert_components.emplace_back(-1, std::move(*it)); new_nv_dups++; @@ -2570,8 +2589,8 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, // lying on the seam, but this doesn't catch all required cases. if (refine_crack_elem) { - std::map, std::vector> coarse_crack_edge_to_be; - std::set elem_to_refine; + std::unordered_map, std::vector, UnorderedPairHasher> + coarse_crack_edge_to_be; for (auto be : crack_bdr_elem) { const mfem::Element *bdr_el = orig_mesh->GetBdrElement(be); @@ -2588,39 +2607,31 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, // This is a seam edge, so add the attached boundary element to a list. The // check for the edge being interior to the crack is indicated by visiting more // than once. - if (v1 < v0) - { - std::swap(v0, v1); - } - const auto key = std::make_pair(v0, v1); - auto it = coarse_crack_edge_to_be.find(key); - auto &bdr_elem_to_refine = + auto it = coarse_crack_edge_to_be.find({v0, v1}); + auto &adjacent_be = (it == coarse_crack_edge_to_be.end()) - ? coarse_crack_edge_to_be.try_emplace(key).first->second + ? coarse_crack_edge_to_be.try_emplace({v0, v1}).first->second : it->second; - bdr_elem_to_refine.push_back(be); + adjacent_be.push_back(be); } } } - for (const auto &[edge, bdr_elem_to_refine] : coarse_crack_edge_to_be) + for (auto it = coarse_crack_edge_to_be.begin(); it != coarse_crack_edge_to_be.end();) { - if (bdr_elem_to_refine.size() > 1) + // Remove all seam edges which are on the "outside" of the crack (visited only + // once). + if (it->second.size() == 1) { - for (auto be : bdr_elem_to_refine) - { - int f, o, e1, e2; - orig_mesh->GetBdrElementFace(be, &f, &o); - orig_mesh->GetFaceElements(f, &e1, &e2); - MFEM_ASSERT(e1 >= 0 && e2 >= 0, - "Invalid internal boundary element connectivity!"); - elem_to_refine.insert(e1); - elem_to_refine.insert(e2); - } + it = coarse_crack_edge_to_be.erase(it); + } + else + { + ++it; } } static int new_ne_ref = 0; static int new_ref_its = 0; - if (!elem_to_refine.empty()) + if (!coarse_crack_edge_to_be.empty()) { // Locally refine the mesh using conformal refinement. If necessary, convert the // mesh to simplices first to enable conforming refinement (this will do nothing @@ -2637,13 +2648,29 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, face_to_be.clear(); return 0; // Mesh was converted to simplices, start over } + std::unordered_map elem_to_refine; + for (const auto &[edge, adjacent_be] : coarse_crack_edge_to_be) + { + for (auto be : adjacent_be) + { + int f, o, e1, e2; + orig_mesh->GetBdrElementFace(be, &f, &o); + orig_mesh->GetFaceElements(f, &e1, &e2); + MFEM_ASSERT(e1 >= 0 && e2 >= 0, + "Invalid internal boundary element connectivity!"); + elem_to_refine[e1]++; // Value-initialized to 0 at first access + elem_to_refine[e2]++; + } + } mfem::Array refinements; refinements.Reserve(elem_to_refine.size()); - for (auto e : elem_to_refine) + for (const auto &[e, count] : elem_to_refine) { // Tetrahedral bisection (vs. default octasection) will result in fewer added // elements at the cost of a potential minor mesh quality degredation. refinements.Append(mfem::Refinement(e, mfem::Refinement::X)); + // refinements.Append(mfem::Refinement(e, (count > 1) ? mfem::Refinement::XY + // : mfem::Refinement::X)); } if (mesh::CheckElements(*orig_mesh).has_simplices) { @@ -2656,7 +2683,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, // mesh every time to ensure multiple rounds of refinement target the interior // boundary (we don't care about preserving the refinement hierarchy). constexpr bool refine = true, fix_orientation = false; - InterfaceRefinementMesh ref_mesh(std::move(*orig_mesh), crack_vert_duplicates); + EdgeRefinementMesh ref_mesh(std::move(*orig_mesh), coarse_crack_edge_to_be); ref_mesh.Finalize(refine, fix_orientation); *orig_mesh = std::move(ref_mesh); } @@ -2908,8 +2935,9 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, b = 0; } MFEM_VERIFY(a + b > 0, "Invalid new boundary element attribute!"); - int new_attr = - bdr_attr_max + (((a + b) * (a + b + 1)) / 2) + a; // At least bdr_attr_max + 1 + long long int l_new_attr = + bdr_attr_max + (((a + b) * (long long int)(a + b + 1)) / 2) + a; + int new_attr = mfem::internal::to_int(l_new_attr); // At least bdr_attr_max + 1 // Add the boundary elements with the new boundary attribute. The element vertices // may have been renumbered in the new mesh, so the new face is not necessarily @@ -2935,6 +2963,12 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, bdr_el->GetVertices()[j] = el->GetVertices()[el->GetFaceVertices(i)[j]]; } new_mesh->AddBdrElement(bdr_el); + if constexpr (false) + { + Mpi::Print( + "Adding boundary element with attribute {:d} from elements {:d} and {:d}\n", + new_attr, a, b); + } if (new_face_bdr_elem[f] > 1) { // Flip order of vertices to reverse normal direction of the second added element. @@ -2944,17 +2978,11 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, new_mesh->AddBdrElement(bdr_el); if constexpr (false) { - Mpi::Print("Adding two boundary elements with attribute {:d} from elements " + Mpi::Print("Adding second boundary element with attribute {:d} from elements " "{:d} and {:d}\n", new_attr, a, b); } } - else if constexpr (false) - { - Mpi::Print("Adding boundary element with attribute {:d} from elements " - "{:d} and {:d}\n", - new_attr, a, b); - } } } } From 027b1476c78c6fd597b0f71d08535c73eac3e189 Mon Sep 17 00:00:00 2001 From: Sebastian Grimberg Date: Thu, 11 Jul 2024 14:45:49 -0700 Subject: [PATCH 22/24] Rebaseline rings and cpw examples with interior boundaries --- .../ref/cpw/lumped_adaptive/domain-E.csv | 562 +++++++++--------- .../cpw/lumped_adaptive/error-indicators.csv | 2 +- .../ref/cpw/lumped_adaptive/port-I.csv | 562 +++++++++--------- .../ref/cpw/lumped_adaptive/port-S.csv | 562 +++++++++--------- .../ref/cpw/lumped_adaptive/port-V.csv | 562 +++++++++--------- .../ref/cpw/lumped_adaptive/probe-B.csv | 562 +++++++++--------- .../ref/cpw/lumped_adaptive/probe-E.csv | 562 +++++++++--------- .../ref/cpw/lumped_adaptive/surface-F.csv | 562 +++++++++--------- .../ref/cpw/lumped_adaptive/surface-Q.csv | 562 +++++++++--------- .../ref/cpw/lumped_uniform/domain-E.csv | 30 +- .../cpw/lumped_uniform/error-indicators.csv | 2 +- .../ref/cpw/lumped_uniform/port-I.csv | 30 +- .../ref/cpw/lumped_uniform/port-S.csv | 30 +- .../ref/cpw/lumped_uniform/port-V.csv | 30 +- .../ref/cpw/lumped_uniform/probe-B.csv | 30 +- .../ref/cpw/lumped_uniform/probe-E.csv | 30 +- .../ref/cpw/lumped_uniform/surface-F.csv | 30 +- .../ref/cpw/lumped_uniform/surface-Q.csv | 30 +- .../ref/cpw/wave_adaptive/domain-E.csv | 562 +++++++++--------- .../cpw/wave_adaptive/error-indicators.csv | 2 +- .../examples/ref/cpw/wave_adaptive/port-S.csv | 562 +++++++++--------- .../ref/cpw/wave_adaptive/probe-B.csv | 562 +++++++++--------- .../ref/cpw/wave_adaptive/probe-E.csv | 562 +++++++++--------- .../ref/cpw/wave_adaptive/surface-F.csv | 562 +++++++++--------- .../ref/cpw/wave_adaptive/surface-Q.csv | 562 +++++++++--------- .../ref/cpw/wave_uniform/domain-E.csv | 30 +- .../ref/cpw/wave_uniform/error-indicators.csv | 2 +- test/examples/ref/cpw/wave_uniform/port-S.csv | 30 +- .../examples/ref/cpw/wave_uniform/probe-B.csv | 30 +- .../examples/ref/cpw/wave_uniform/probe-E.csv | 30 +- .../ref/cpw/wave_uniform/surface-F.csv | 30 +- .../ref/cpw/wave_uniform/surface-Q.csv | 30 +- test/examples/ref/rings/domain-E.csv | 4 +- test/examples/ref/rings/error-indicators.csv | 2 +- test/examples/ref/rings/probe-B.csv | 4 +- test/examples/ref/rings/surface-F.csv | 4 +- test/examples/ref/rings/terminal-M.csv | 4 +- test/examples/ref/rings/terminal-Minv.csv | 4 +- test/examples/ref/rings/terminal-Mm.csv | 4 +- 39 files changed, 4161 insertions(+), 4161 deletions(-) diff --git a/test/examples/ref/cpw/lumped_adaptive/domain-E.csv b/test/examples/ref/cpw/lumped_adaptive/domain-E.csv index 5290a7326..a9c9af2a5 100644 --- a/test/examples/ref/cpw/lumped_adaptive/domain-E.csv +++ b/test/examples/ref/cpw/lumped_adaptive/domain-E.csv @@ -1,282 +1,282 @@ f (GHz), E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] - 2.000000000e+00, +2.216171325e-02, +1.174249387e-02, +0.000000000e+00, +0.000000000e+00, +2.008864005e-02, +9.064569973e-01, +5.834053645e-03, +4.968325901e-01 - 2.100000000e+00, +2.205352857e-02, +1.178159486e-02, +0.000000000e+00, +0.000000000e+00, +1.999081771e-02, +9.064679899e-01, +5.853187498e-03, +4.968077386e-01 - 2.200000000e+00, +2.194167196e-02, +1.182227309e-02, +0.000000000e+00, +0.000000000e+00, +1.988967287e-02, +9.064793652e-01, +5.873095016e-03, +4.967822154e-01 - 2.300000000e+00, +2.182633482e-02, +1.186448759e-02, +0.000000000e+00, +0.000000000e+00, +1.978537848e-02, +9.064911100e-01, +5.893756395e-03, +4.967560839e-01 - 2.400000000e+00, +2.170771115e-02, +1.190819672e-02, +0.000000000e+00, +0.000000000e+00, +1.967810986e-02, +9.065032111e-01, +5.915151506e-03, +4.967294077e-01 - 2.500000000e+00, +2.158599697e-02, +1.195335828e-02, +0.000000000e+00, +0.000000000e+00, +1.956804417e-02, +9.065156546e-01, +5.937259951e-03, +4.967022497e-01 - 2.600000000e+00, +2.146138987e-02, +1.199992962e-02, +0.000000000e+00, +0.000000000e+00, +1.945535999e-02, +9.065284268e-01, +5.960061115e-03, +4.966746724e-01 - 2.700000000e+00, +2.133408851e-02, +1.204786778e-02, +0.000000000e+00, +0.000000000e+00, +1.934023688e-02, +9.065415132e-01, +5.983534224e-03, +4.966467374e-01 - 2.800000000e+00, +2.120429215e-02, +1.209712953e-02, +0.000000000e+00, +0.000000000e+00, +1.922285494e-02, +9.065548992e-01, +6.007658388e-03, +4.966185053e-01 - 2.900000000e+00, +2.107220021e-02, +1.214767157e-02, +0.000000000e+00, +0.000000000e+00, +1.910339439e-02, +9.065685694e-01, +6.032412660e-03, +4.965900356e-01 - 3.000000000e+00, +2.093801176e-02, +1.219945054e-02, +0.000000000e+00, +0.000000000e+00, +1.898203522e-02, +9.065825083e-01, +6.057776074e-03, +4.965613864e-01 - 3.100000000e+00, +2.080192521e-02, +1.225242315e-02, +0.000000000e+00, +0.000000000e+00, +1.885895674e-02, +9.065966996e-01, +6.083727697e-03, +4.965326141e-01 - 3.200000000e+00, +2.066413780e-02, +1.230654627e-02, +0.000000000e+00, +0.000000000e+00, +1.873433725e-02, +9.066111265e-01, +6.110246665e-03, +4.965037739e-01 - 3.300000000e+00, +2.052484527e-02, +1.236177698e-02, +0.000000000e+00, +0.000000000e+00, +1.860835369e-02, +9.066257718e-01, +6.137312226e-03, +4.964749189e-01 - 3.400000000e+00, +2.038424153e-02, +1.241807271e-02, +0.000000000e+00, +0.000000000e+00, +1.848118132e-02, +9.066406174e-01, +6.164903777e-03, +4.964461009e-01 - 3.500000000e+00, +2.024251823e-02, +1.247539123e-02, +0.000000000e+00, +0.000000000e+00, +1.835299343e-02, +9.066556450e-01, +6.193000895e-03, +4.964173694e-01 - 3.600000000e+00, +2.009986456e-02, +1.253369077e-02, +0.000000000e+00, +0.000000000e+00, +1.822396099e-02, +9.066708352e-01, +6.221583371e-03, +4.963887722e-01 - 3.700000000e+00, +1.995646687e-02, +1.259293006e-02, +0.000000000e+00, +0.000000000e+00, +1.809425248e-02, +9.066861683e-01, +6.250631238e-03, +4.963603553e-01 - 3.800000000e+00, +1.981250843e-02, +1.265306838e-02, +0.000000000e+00, +0.000000000e+00, +1.796403356e-02, +9.067016239e-01, +6.280124793e-03, +4.963321627e-01 - 3.900000000e+00, +1.966816920e-02, +1.271406561e-02, +0.000000000e+00, +0.000000000e+00, +1.783346693e-02, +9.067171808e-01, +6.310044623e-03, +4.963042362e-01 - 4.000000000e+00, +1.952362559e-02, +1.277588227e-02, +0.000000000e+00, +0.000000000e+00, +1.770271204e-02, +9.067328174e-01, +6.340371622e-03, +4.962766161e-01 - 4.100000000e+00, +1.937905029e-02, +1.283847956e-02, +0.000000000e+00, +0.000000000e+00, +1.757192499e-02, +9.067485111e-01, +6.371087011e-03, +4.962493404e-01 - 4.200000000e+00, +1.923461203e-02, +1.290181935e-02, +0.000000000e+00, +0.000000000e+00, +1.744125833e-02, +9.067642389e-01, +6.402172348e-03, +4.962224453e-01 - 4.300000000e+00, +1.909047549e-02, +1.296586428e-02, +0.000000000e+00, +0.000000000e+00, +1.731086093e-02, +9.067799772e-01, +6.433609539e-03, +4.961959651e-01 - 4.400000000e+00, +1.894680114e-02, +1.303057769e-02, +0.000000000e+00, +0.000000000e+00, +1.718087783e-02, +9.067957016e-01, +6.465380849e-03, +4.961699322e-01 - 4.500000000e+00, +1.880374513e-02, +1.309592370e-02, +0.000000000e+00, +0.000000000e+00, +1.705145020e-02, +9.068113870e-01, +6.497468908e-03, +4.961443772e-01 - 4.600000000e+00, +1.866145918e-02, +1.316186718e-02, +0.000000000e+00, +0.000000000e+00, +1.692271519e-02, +9.068270079e-01, +6.529856711e-03, +4.961193289e-01 - 4.700000000e+00, +1.852009053e-02, +1.322837376e-02, +0.000000000e+00, +0.000000000e+00, +1.679480590e-02, +9.068425382e-01, +6.562527621e-03, +4.960948143e-01 - 4.800000000e+00, +1.837978186e-02, +1.329540982e-02, +0.000000000e+00, +0.000000000e+00, +1.666785132e-02, +9.068579511e-01, +6.595465368e-03, +4.960708587e-01 - 4.900000000e+00, +1.824067126e-02, +1.336294252e-02, +0.000000000e+00, +0.000000000e+00, +1.654197627e-02, +9.068732194e-01, +6.628654043e-03, +4.960474859e-01 - 5.000000000e+00, +1.810289220e-02, +1.343093974e-02, +0.000000000e+00, +0.000000000e+00, +1.641730141e-02, +9.068883152e-01, +6.662078095e-03, +4.960247179e-01 - 5.100000000e+00, +1.796657353e-02, +1.349937008e-02, +0.000000000e+00, +0.000000000e+00, +1.629394322e-02, +9.069032104e-01, +6.695722323e-03, +4.960025753e-01 - 5.200000000e+00, +1.783183946e-02, +1.356820285e-02, +0.000000000e+00, +0.000000000e+00, +1.617201397e-02, +9.069178762e-01, +6.729571864e-03, +4.959810771e-01 - 5.300000000e+00, +1.769880958e-02, +1.363740806e-02, +0.000000000e+00, +0.000000000e+00, +1.605162179e-02, +9.069322835e-01, +6.763612186e-03, +4.959602410e-01 - 5.400000000e+00, +1.756759890e-02, +1.370695634e-02, +0.000000000e+00, +0.000000000e+00, +1.593287063e-02, +9.069464029e-01, +6.797829069e-03, +4.959400832e-01 - 5.500000000e+00, +1.743831788e-02, +1.377681899e-02, +0.000000000e+00, +0.000000000e+00, +1.581586035e-02, +9.069602048e-01, +6.832208599e-03, +4.959206187e-01 - 5.600000000e+00, +1.731107245e-02, +1.384696788e-02, +0.000000000e+00, +0.000000000e+00, +1.570068672e-02, +9.069736591e-01, +6.866737143e-03, +4.959018613e-01 - 5.700000000e+00, +1.718596409e-02, +1.391737543e-02, +0.000000000e+00, +0.000000000e+00, +1.558744147e-02, +9.069867357e-01, +6.901401340e-03, +4.958838234e-01 - 5.800000000e+00, +1.706308990e-02, +1.398801461e-02, +0.000000000e+00, +0.000000000e+00, +1.547621238e-02, +9.069994043e-01, +6.936188078e-03, +4.958665164e-01 - 5.900000000e+00, +1.694254262e-02, +1.405885887e-02, +0.000000000e+00, +0.000000000e+00, +1.536708328e-02, +9.070116347e-01, +6.971084476e-03, +4.958499506e-01 - 6.000000000e+00, +1.682441074e-02, +1.412988208e-02, +0.000000000e+00, +0.000000000e+00, +1.526013417e-02, +9.070233964e-01, +7.006077866e-03, +4.958341354e-01 - 6.100000000e+00, +1.670877855e-02, +1.420105854e-02, +0.000000000e+00, +0.000000000e+00, +1.515544126e-02, +9.070346594e-01, +7.041155769e-03, +4.958190791e-01 - 6.200000000e+00, +1.659572623e-02, +1.427236290e-02, +0.000000000e+00, +0.000000000e+00, +1.505307703e-02, +9.070453935e-01, +7.076305875e-03, +4.958047890e-01 - 6.300000000e+00, +1.648532994e-02, +1.434377010e-02, +0.000000000e+00, +0.000000000e+00, 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a/test/examples/ref/cpw/lumped_adaptive/error-indicators.csv +++ b/test/examples/ref/cpw/lumped_adaptive/error-indicators.csv @@ -1,2 +1,2 @@ Norm, Minimum, Maximum, Mean - +6.856303428e-01, +1.533404752e-06, +3.105033811e-02, +2.591976084e-03 + +5.384652640e-01, +1.539668627e-06, +3.142324505e-02, +1.839404443e-03 diff --git a/test/examples/ref/cpw/lumped_adaptive/port-I.csv b/test/examples/ref/cpw/lumped_adaptive/port-I.csv index abbb846c2..77ee72957 100644 --- a/test/examples/ref/cpw/lumped_adaptive/port-I.csv +++ b/test/examples/ref/cpw/lumped_adaptive/port-I.csv @@ -1,282 +1,282 @@ f (GHz), I_inc[1] (A), Re{I[1]} (A), Im{I[1]} (A), Re{I[2]} (A), Im{I[2]} (A), Re{I[3]} (A), Im{I[3]} (A), Re{I[4]} (A), Im{I[4]} (A) - 2.000000000e+00, +1.336067647e-01, +1.254745288e-01, -1.749337050e-02, +1.200338516e-01, -5.535598804e-02, +1.399522688e-04, +2.756567873e-04, +7.493704265e-05, +6.461679721e-05 - 2.100000000e+00, +1.336067647e-01, +1.247127794e-01, -1.810838915e-02, +1.187091999e-01, -5.783845536e-02, +1.529534540e-04, +2.846593415e-04, +8.135094609e-05, +6.423936769e-05 - 2.200000000e+00, +1.336067647e-01, +1.239271839e-01, -1.868898482e-02, +1.173322139e-01, -6.028251551e-02, +1.662645408e-04, +2.929963140e-04, +8.775947771e-05, +6.336493944e-05 - 2.300000000e+00, +1.336067647e-01, +1.231193837e-01, -1.923428423e-02, +1.159043921e-01, -6.268705156e-02, +1.798481368e-04, +3.006717575e-04, +9.412680639e-05, +6.200967682e-05 - 2.400000000e+00, +1.336067647e-01, +1.222910456e-01, -1.974349865e-02, +1.144272534e-01, -6.505102350e-02, +1.936706435e-04, +3.076906042e-04, +1.004218125e-04, +6.019069099e-05 - 2.500000000e+00, +1.336067647e-01, +1.214438573e-01, -2.021592395e-02, +1.129023321e-01, -6.737346800e-02, +2.077016160e-04, +3.140579551e-04, +1.066173747e-04, +5.792520246e-05 - 2.600000000e+00, +1.336067647e-01, +1.205795231e-01, -2.065094038e-02, +1.113311733e-01, -6.965349772e-02, +2.219130922e-04, +3.197786214e-04, +1.126896149e-04, +5.522998669e-05 - 2.700000000e+00, +1.336067647e-01, +1.196997587e-01, -2.104801201e-02, +1.097153290e-01, -7.189030049e-02, +2.362789469e-04, +3.248568783e-04, +1.186171667e-04, +5.212106293e-05 - 2.800000000e+00, +1.336067647e-01, +1.188062873e-01, -2.140668601e-02, +1.080563535e-01, -7.408313809e-02, +2.507743103e-04, +3.292963930e-04, +1.243805107e-04, +4.861358069e-05 - 2.900000000e+00, +1.336067647e-01, +1.179008350e-01, -2.172659161e-02, +1.063557994e-01, -7.623134493e-02, +2.653750736e-04, +3.331002834e-04, +1.299614050e-04, +4.472185772e-05 - 3.000000000e+00, +1.336067647e-01, +1.169851271e-01, -2.200743886e-02, +1.046152138e-01, -7.833432633e-02, +2.800574940e-04, +3.362712697e-04, +1.353424234e-04, +4.045952610e-05 - 3.100000000e+00, +1.336067647e-01, +1.160608838e-01, -2.224901716e-02, +1.028361343e-01, -8.039155674e-02, +2.947979003e-04, +3.388118846e-04, +1.405066066e-04, +3.583974810e-05 - 3.200000000e+00, +1.336067647e-01, +1.151298164e-01, -2.245119365e-02, +1.010200858e-01, -8.240257766e-02, +3.095724953e-04, +3.407247131e-04, +1.454372200e-04, +3.087546916e-05 - 3.300000000e+00, +1.336067647e-01, +1.141936242e-01, -2.261391137e-02, +9.916857705e-02, -8.436699544e-02, +3.243572450e-04, +3.420126389e-04, +1.501176092e-04, +2.557968197e-05 - 3.400000000e+00, +1.336067647e-01, +1.132539907e-01, -2.273718727e-02, +9.728309736e-02, -8.628447888e-02, +3.391278427e-04, +3.426790792e-04, +1.545311403e-04, +1.996568123e-05 - 3.500000000e+00, +1.336067647e-01, +1.123125806e-01, -2.282111015e-02, +9.536511394e-02, -8.815475673e-02, +3.538597360e-04, +3.427281965e-04, +1.586612107e-04, +1.404729483e-05 - 3.600000000e+00, +1.336067647e-01, +1.113710369e-01, -2.286583839e-02, +9.341606914e-02, -8.997761499e-02, +3.685282012e-04, +3.421650772e-04, +1.624913157e-04, +7.839081395e-06 - 3.700000000e+00, +1.336067647e-01, +1.104309781e-01, -2.287159765e-02, +9.143737793e-02, -9.175289422e-02, +3.831084539e-04, +3.409958744e-04, +1.660051564e-04, +1.356488668e-06 - 3.800000000e+00, +1.336067647e-01, +1.094939957e-01, -2.283867842e-02, +8.943042576e-02, -9.348048665e-02, +3.975757845e-04, +3.392279108e-04, +1.691867773e-04, -5.384029757e-06 - 3.900000000e+00, +1.336067647e-01, +1.085616516e-01, -2.276743360e-02, +8.739656648e-02, -9.516033330e-02, +4.119057067e-04, +3.368697444e-04, +1.720207206e-04, -1.236493930e-05 - 4.000000000e+00, +1.336067647e-01, +1.076354766e-01, -2.265827594e-02, +8.533712061e-02, -9.679242099e-02, +4.260741112e-04, +3.339311967e-04, +1.744921886e-04, -1.956758885e-05 - 4.100000000e+00, +1.336067647e-01, +1.067169677e-01, -2.251167547e-02, +8.325337373e-02, -9.837677934e-02, +4.400574183e-04, +3.304233495e-04, +1.765872065e-04, -2.697221155e-05 - 4.200000000e+00, +1.336067647e-01, +1.058075870e-01, -2.232815697e-02, +8.114657514e-02, -9.991347775e-02, +4.538327224e-04, +3.263585109e-04, +1.782927774e-04, -3.455795790e-05 - 4.300000000e+00, +1.336067647e-01, +1.049087599e-01, -2.210829732e-02, +7.901793675e-02, -1.014026223e-01, +4.673779240e-04, +3.217501579e-04, +1.795970276e-04, -4.230295640e-05 - 4.400000000e+00, +1.336067647e-01, +1.040218735e-01, -2.185272301e-02, +7.686863211e-02, -1.028443529e-01, +4.806718486e-04, +3.166128579e-04, +1.804893353e-04, -5.018439732e-05 - 4.500000000e+00, +1.336067647e-01, +1.031482761e-01, -2.156210752e-02, +7.469979570e-02, -1.042388400e-01, +4.936943463e-04, +3.109621744e-04, +1.809604439e-04, -5.817863477e-05 - 4.600000000e+00, +1.336067647e-01, +1.022892754e-01, -2.123716882e-02, +7.251252239e-02, -1.055862819e-01, +5.064263761e-04, +3.048145611e-04, +1.810025552e-04, -6.626130261e-05 - 4.700000000e+00, +1.336067647e-01, +1.014461381e-01, -2.087866689e-02, +7.030786706e-02, -1.068869014e-01, +5.188500692e-04, +2.981872478e-04, +1.806094046e-04, -7.440744039e-05 - 4.800000000e+00, +1.336067647e-01, +1.006200892e-01, -2.048740132e-02, +6.808684447e-02, -1.081409433e-01, +5.309487768e-04, +2.910981212e-04, +1.797763175e-04, -8.259162532e-05 - 4.900000000e+00, +1.336067647e-01, +9.981231126e-02, -2.006420888e-02, +6.585042918e-02, -1.093486715e-01, +5.427070986e-04, +2.835656051e-04, +1.785002467e-04, -9.078810734e-05 - 5.000000000e+00, +1.336067647e-01, +9.902394403e-02, -1.960996126e-02, +6.359955579e-02, -1.105103659e-01, +5.541108962e-04, +2.756085406e-04, +1.767797934e-04, -9.897094439e-05 - 5.100000000e+00, +1.336067647e-01, +9.825608418e-02, -1.912556284e-02, +6.133511919e-02, -1.116263201e-01, +5.651472907e-04, +2.672460699e-04, +1.746152121e-04, -1.071141355e-04 - 5.200000000e+00, +1.336067647e-01, +9.750978504e-02, -1.861194850e-02, +5.905797500e-02, -1.126968385e-01, +5.758046476e-04, +2.584975248e-04, +1.720084008e-04, -1.151917501e-04 - 5.300000000e+00, +1.336067647e-01, +9.678605653e-02, -1.807008157e-02, +5.676894020e-02, -1.137222338e-01, +5.860725489e-04, +2.493823217e-04, +1.689628792e-04, -1.231780516e-04 - 5.400000000e+00, +1.336067647e-01, +9.608586515e-02, -1.750095184e-02, +5.446879381e-02, -1.147028247e-01, +5.959417552e-04, +2.399198636e-04, +1.654837544e-04, -1.310476143e-04 - 5.500000000e+00, +1.336067647e-01, +9.541013402e-02, -1.690557364e-02, +5.215827772e-02, -1.156389333e-01, +6.054041589e-04, +2.301294510e-04, +1.615776781e-04, -1.387754333e-04 - 5.600000000e+00, +1.336067647e-01, +9.475974306e-02, -1.628498402e-02, +4.983809765e-02, -1.165308832e-01, +6.144527295e-04, +2.200302009e-04, +1.572527953e-04, -1.463370256e-04 - 5.700000000e+00, +1.336067647e-01, +9.413552916e-02, -1.564024104e-02, +4.750892418e-02, -1.173789967e-01, +6.230814537e-04, +2.096409750e-04, +1.525186862e-04, -1.537085240e-04 - 5.800000000e+00, +1.336067647e-01, +9.353828644e-02, -1.497242214e-02, +4.517139387e-02, -1.181835934e-01, +6.312852704e-04, +1.989803171e-04, +1.473863030e-04, -1.608667612e-04 - 5.900000000e+00, +1.336067647e-01, +9.296876657e-02, -1.428262254e-02, +4.282611052e-02, -1.189449880e-01, +6.390600024e-04, +1.880663998e-04, +1.418679026e-04, -1.677893467e-04 - 6.000000000e+00, +1.336067647e-01, +9.242767909e-02, -1.357195383e-02, +4.047364644e-02, -1.196634882e-01, +6.464022858e-04, +1.769169801e-04, +1.359769763e-04, -1.744547349e-04 - 6.100000000e+00, +1.336067647e-01, +9.191569175e-02, -1.284154257e-02, +3.811454386e-02, -1.203393931e-01, +6.533094985e-04, +1.655493635e-04, +1.297281776e-04, -1.808422857e-04 - 6.200000000e+00, +1.336067647e-01, +9.143343094e-02, -1.209252899e-02, +3.574931634e-02, -1.209729919e-01, +6.597796881e-04, +1.539803766e-04, +1.231372494e-04, -1.869323174e-04 - 6.300000000e+00, +1.336067647e-01, +9.098148204e-02, -1.132606578e-02, +3.337845031e-02, -1.215645616e-01, +6.658115001e-04, +1.422263479e-04, +1.162209499e-04, -1.927061525e-04 - 6.400000000e+00, +1.336067647e-01, +9.056038984e-02, -1.054331697e-02, +3.100240660e-02, -1.221143662e-01, +6.714041082e-04, +1.303030958e-04, +1.089969796e-04, -1.981461577e-04 - 6.500000000e+00, +1.336067647e-01, +9.017065895e-02, -9.745456838e-03, +2.862162208e-02, -1.226226550e-01, +6.765571457e-04, +1.182259236e-04, +1.014839094e-04, -2.032357770e-04 - 6.600000000e+00, +1.336067647e-01, +8.981275415e-02, -8.933668950e-03, +2.623651129e-02, -1.230896616e-01, +6.812706392e-04, +1.060096213e-04, +9.370110886e-05, -2.079595598e-04 - 6.700000000e+00, +1.336067647e-01, +8.948710080e-02, -8.109145207e-03, +2.384746815e-02, -1.235156023e-01, +6.855449457e-04, +9.366847343e-05, +8.566867766e-05, -2.123031846e-04 - 6.800000000e+00, +1.336067647e-01, +8.919408520e-02, -7.273084995e-03, +2.145486768e-02, -1.239006758e-01, +6.893806926e-04, +8.121627186e-05, +7.740737750e-05, -2.162534776e-04 - 6.900000000e+00, +1.336067647e-01, +8.893405493e-02, -6.426694374e-03, +1.905906779e-02, -1.242450614e-01, +6.927787213e-04, +6.866633443e-05, +6.893856698e-05, -2.197984275e-04 - 7.000000000e+00, +1.336067647e-01, +8.870731914e-02, -5.571185316e-03, +1.666041103e-02, -1.245489189e-01, +6.957400342e-04, +5.603152752e-05, +6.028413828e-05, -2.229271980e-04 - 7.100000000e+00, +1.336067647e-01, +8.851414883e-02, -4.707775000e-03, +1.425922644e-02, -1.248123873e-01, +6.982657465e-04, +4.332429287e-05, +5.146645621e-05, -2.256301360e-04 - 7.200000000e+00, +1.336067647e-01, +8.835477714e-02, -3.837685142e-03, +1.185583138e-02, -1.250355844e-01, +7.003570412e-04, +3.055667808e-05, +4.250829931e-05, -2.278987786e-04 - 7.300000000e+00, +1.336067647e-01, +8.822939951e-02, -2.962141356e-03, +9.450533357e-03, -1.252186063e-01, +7.020151293e-04, +1.774037013e-05, +3.343280321e-05, -2.297258573e-04 - 7.400000000e+00, +1.336067647e-01, +8.813817387e-02, -2.082372555e-03, +7.043631936e-03, -1.253615267e-01, +7.032412132e-04, +4.886731786e-06, +2.426340602e-05, -2.311053010e-04 - 7.500000000e+00, +1.336067647e-01, +8.808122076e-02, -1.199610368e-03, +4.635420593e-03, -1.254643968e-01, +7.040364558e-04, -7.993159684e-06, +1.502379557e-05, -2.320322377e-04 - 7.600000000e+00, +1.336067647e-01, +8.805862345e-02, -3.150885809e-04, +2.226188619e-03, 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b/test/examples/ref/cpw/lumped_adaptive/port-S.csv index 30c0377d6..2de2f0f1d 100644 --- a/test/examples/ref/cpw/lumped_adaptive/port-S.csv +++ b/test/examples/ref/cpw/lumped_adaptive/port-S.csv @@ -1,282 +1,282 @@ f (GHz), |S[1][1]| (dB), arg(S[1][1]) (deg.), |S[2][1]| (dB), arg(S[2][1]) (deg.), |S[3][1]| (dB), arg(S[3][1]) (deg.), |S[4][1]| (dB), arg(S[4][1]) (deg.) - 2.000000000e+00, -1.680937388e+01, -1.149325529e+02, -9.304060132e-02, -2.475772502e+01, -5.271320305e+01, +6.308287718e+01, -6.260834687e+01, +4.077057781e+01 - 2.100000000e+00, -1.642044631e+01, -1.161580903e+02, -1.018111655e-01, -2.597664396e+01, -5.232849501e+01, +6.174992620e+01, -6.220463701e+01, +3.829664329e+01 - 2.200000000e+00, -1.605280190e+01, -1.173809820e+02, -1.108692915e-01, -2.719302636e+01, -5.196696477e+01, +6.042669696e+01, -6.182846341e+01, +3.583039864e+01 - 2.300000000e+00, -1.570467369e+01, -1.186011684e+02, -1.201976046e-01, -2.840680076e+01, -5.162639435e+01, +5.911406023e+01, -6.147680322e+01, +3.337644062e+01 - 2.400000000e+00, -1.537451876e+01, -1.198185950e+02, -1.297783688e-01, -2.961790102e+01, -5.130485148e+01, +5.781233138e+01, -6.114699917e+01, +3.093757258e+01 - 2.500000000e+00, -1.506098168e+01, -1.210332125e+02, -1.395935249e-01, -3.082626641e+01, -5.100065325e+01, +5.652142058e+01, -6.083672569e+01, +2.851522617e+01 - 2.600000000e+00, -1.476286513e+01, -1.222449763e+02, -1.496247287e-01, -3.203184164e+01, -5.071233406e+01, +5.524095689e+01, -6.054395620e+01, +2.610980469e+01 - 2.700000000e+00, -1.447910601e+01, -1.234538473e+02, -1.598533889e-01, -3.323457687e+01, -5.043861731e+01, +5.397038886e+01, -6.026693185e+01, +2.372096189e+01 - 2.800000000e+00, -1.420875602e+01, -1.246597913e+02, -1.702607051e-01, -3.443442777e+01, -5.017839022e+01, +5.270906418e+01, -6.000413206e+01, +2.134782675e+01 - 2.900000000e+00, -1.395096554e+01, -1.258627795e+02, -1.808277050e-01, -3.563135550e+01, -4.993068148e+01, +5.145629091e+01, -5.975424677e+01, +1.898918309e+01 - 3.000000000e+00, -1.370497033e+01, -1.270627879e+02, -1.915352819e-01, -3.682532670e+01, -4.969464154e+01, +5.021138312e+01, -5.951615070e+01, +1.664361100e+01 - 3.100000000e+00, -1.347008039e+01, -1.282597980e+02, -2.023642311e-01, -3.801631350e+01, -4.946952515e+01, +4.897369328e+01, -5.928887966e+01, +1.430959633e+01 - 3.200000000e+00, -1.324567058e+01, -1.294537961e+02, -2.132952858e-01, -3.920429348e+01, -4.925467613e+01, +4.774263383e+01, -5.907160884e+01, +1.198561339e+01 - 3.300000000e+00, -1.303117272e+01, -1.306447739e+02, -2.243091530e-01, -4.038924964e+01, -4.904951410e+01, +4.651769007e+01, -5.886363325e+01, +9.670185402e+00 - 3.400000000e+00, -1.282606887e+01, -1.318327280e+02, -2.353865477e-01, -4.157117035e+01, -4.885352297e+01, +4.529842616e+01, -5.866435013e+01, +7.361926725e+00 - 3.500000000e+00, -1.262988555e+01, -1.330176602e+02, -2.465082266e-01, -4.275004930e+01, -4.866624109e+01, +4.408448607e+01, -5.847324338e+01, +5.059570302e+00 - 3.600000000e+00, -1.244218884e+01, -1.341995771e+02, -2.576550218e-01, -4.392588541e+01, -4.848725282e+01, +4.287559061e+01, -5.828986985e+01, +2.761983409e+00 - 3.700000000e+00, -1.226258009e+01, -1.353784904e+02, -2.688078719e-01, -4.509868283e+01, -4.831618137e+01, +4.167153189e+01, -5.811384742e+01, +4.681742876e-01 - 3.800000000e+00, -1.209069231e+01, -1.365544165e+02, -2.799478536e-01, -4.626845075e+01, -4.815268283e+01, +4.047216608e+01, -5.794484471e+01, -1.822708112e+00 - 3.900000000e+00, -1.192618688e+01, -1.377273770e+02, -2.910562116e-01, -4.743520341e+01, -4.799644109e+01, +3.927740516e+01, -5.778257231e+01, -4.111379401e+00 - 4.000000000e+00, -1.176875084e+01, -1.388973978e+02, -3.021143872e-01, -4.859895996e+01, -4.784716367e+01, +3.808720827e+01, -5.762677533e+01, -6.398428516e+00 - 4.100000000e+00, -1.161809440e+01, -1.400645097e+02, -3.131040466e-01, -4.975974435e+01, -4.770457825e+01, +3.690157312e+01, -5.747722719e+01, -8.684328729e+00 - 4.200000000e+00, -1.147394885e+01, -1.412287481e+02, -3.240071071e-01, -5.091758525e+01, -4.756842984e+01, +3.572052770e+01, -5.733372443e+01, -1.096944993e+01 - 4.300000000e+00, -1.133606461e+01, -1.423901528e+02, -3.348057627e-01, -5.207251591e+01, -4.743847844e+01, +3.454412249e+01, -5.719608246e+01, -1.325407143e+01 - 4.400000000e+00, -1.120420960e+01, -1.435487679e+02, -3.454825089e-01, -5.322457407e+01, -4.731449712e+01, +3.337242337e+01, -5.706413209e+01, -1.553839471e+01 - 4.500000000e+00, -1.107816780e+01, -1.447046420e+02, -3.560201650e-01, -5.437380182e+01, -4.719627053e+01, +3.220550525e+01, -5.693771675e+01, -1.782255570e+01 - 4.600000000e+00, -1.095773785e+01, -1.458578277e+02, -3.664018971e-01, -5.552024546e+01, -4.708359363e+01, +3.104344645e+01, -5.681669026e+01, -2.010663639e+01 - 4.700000000e+00, -1.084273199e+01, -1.470083817e+02, -3.766112383e-01, -5.666395541e+01, -4.697627072e+01, +2.988632380e+01, -5.670091503e+01, -2.239067542e+01 - 4.800000000e+00, -1.073297495e+01, -1.481563649e+02, -3.866321085e-01, -5.780498605e+01, -4.687411461e+01, +2.873420852e+01, -5.659026078e+01, -2.467467782e+01 - 4.900000000e+00, -1.062830303e+01, -1.493018417e+02, -3.964488333e-01, -5.894339559e+01, -4.677694602e+01, +2.758716272e+01, -5.648460340e+01, -2.695862353e+01 - 5.000000000e+00, -1.052856331e+01, -1.504448804e+02, -4.060461612e-01, -6.007924593e+01, -4.668459309e+01, +2.644523653e+01, -5.638382424e+01, -2.924247507e+01 - 5.100000000e+00, -1.043361286e+01, -1.515855529e+02, -4.154092801e-01, -6.121260254e+01, -4.659689092e+01, +2.530846580e+01, -5.628780945e+01, -3.152618405e+01 - 5.200000000e+00, -1.034331808e+01, -1.527239346e+02, -4.245238326e-01, -6.234353431e+01, -4.651368130e+01, +2.417687028e+01, -5.619644966e+01, -3.380969690e+01 - 5.300000000e+00, -1.025755412e+01, -1.538601043e+02, -4.333759306e-01, -6.347211340e+01, -4.643481247e+01, +2.305045229e+01, -5.610963958e+01, -3.609295961e+01 - 5.400000000e+00, -1.017620431e+01, -1.549941439e+02, -4.419521684e-01, -6.459841513e+01, -4.636013885e+01, +2.192919566e+01, -5.602727793e+01, -3.837592176e+01 - 5.500000000e+00, -1.009915968e+01, -1.561261387e+02, -4.502396352e-01, -6.572251780e+01, -4.628952097e+01, +2.081306517e+01, -5.594926724e+01, -4.065853987e+01 - 5.600000000e+00, -1.002631851e+01, -1.572561768e+02, -4.582259266e-01, -6.684450259e+01, -4.622282525e+01, +1.970200609e+01, -5.587551382e+01, -4.294078003e+01 - 5.700000000e+00, -9.957585942e+00, -1.583843493e+02, -4.658991556e-01, -6.796445339e+01, -4.615992395e+01, +1.859594412e+01, -5.580592779e+01, -4.522262013e+01 - 5.800000000e+00, -9.892873617e+00, -1.595107499e+02, -4.732479619e-01, -6.908245668e+01, -4.610069507e+01, +1.749478542e+01, -5.574042305e+01, -4.750405149e+01 - 5.900000000e+00, -9.832099334e+00, -1.606354753e+02, -4.802615214e-01, -7.019860139e+01, -4.604502227e+01, +1.639841686e+01, -5.567891733e+01, -4.978508017e+01 - 6.000000000e+00, -9.775186764e+00, -1.617586245e+02, -4.869295543e-01, -7.131297876e+01, -4.599279480e+01, +1.530670637e+01, -5.562133228e+01, -5.206572789e+01 - 6.100000000e+00, -9.722065180e+00, -1.628802989e+02, -4.932423327e-01, -7.242568218e+01, -4.594390745e+01, +1.421950347e+01, -5.556759349e+01, -5.434603273e+01 - 6.200000000e+00, -9.672669216e+00, -1.640006024e+02, -4.991906877e-01, -7.353680710e+01, -4.589826050e+01, +1.313663980e+01, -5.551763058e+01, -5.662604948e+01 - 6.300000000e+00, -9.626938646e+00, -1.651196410e+02, -5.047660158e-01, -7.464645087e+01, -4.585575968e+01, +1.205792977e+01, -5.547137725e+01, -5.890584989e+01 - 6.400000000e+00, -9.584818188e+00, -1.662375227e+02, -5.099602842e-01, -7.575471261e+01, -4.581631611e+01, +1.098317125e+01, -5.542877138e+01, -6.118552272e+01 - 6.500000000e+00, -9.546257328e+00, -1.673543577e+02, -5.147660367e-01, -7.686169306e+01, -4.577984629e+01, +9.912146290e+00, -5.538975508e+01, -6.346517367e+01 - 6.600000000e+00, -9.511210161e+00, -1.684702580e+02, -5.191763976e-01, -7.796749450e+01, -4.574627205e+01, +8.844621913e+00, -5.535427474e+01, -6.574492522e+01 - 6.700000000e+00, -9.479635248e+00, -1.695853374e+02, -5.231850766e-01, -7.907222057e+01, -4.571552050e+01, +7.780350835e+00, -5.532228114e+01, -6.802491635e+01 - 6.800000000e+00, -9.451495489e+00, -1.706997113e+02, -5.267863719e-01, -8.017597614e+01, -4.568752403e+01, +6.719072276e+00, -5.529372946e+01, -7.030530228e+01 - 6.900000000e+00, -9.426758015e+00, -1.718134968e+02, -5.299751740e-01, -8.127886725e+01, -4.566222028e+01, +5.660512736e+00, -5.526857936e+01, -7.258625412e+01 - 7.000000000e+00, -9.405394091e+00, -1.729268126e+02, -5.327469684e-01, -8.238100090e+01, -4.563955208e+01, +4.604386769e+00, -5.524679506e+01, -7.486795849e+01 - 7.100000000e+00, -9.387379027e+00, -1.740397786e+02, -5.350978380e-01, -8.348248496e+01, -4.561946746e+01, +3.550397757e+00, -5.522834536e+01, -7.715061719e+01 - 7.200000000e+00, -9.372692114e+00, -1.751525162e+02, -5.370244658e-01, -8.458342808e+01, -4.560191964e+01, +2.498238669e+00, -5.521320373e+01, -7.943444681e+01 - 7.300000000e+00, -9.361316558e+00, -1.762651480e+02, -5.385241358e-01, -8.568393949e+01, -4.558686698e+01, +1.447592803e+00, -5.520134836e+01, -8.171967837e+01 - 7.400000000e+00, -9.353239436e+00, -1.773777976e+02, -5.395947355e-01, -8.678412895e+01, -4.557427296e+01, +3.981345166e-01, -5.519276221e+01, -8.400655702e+01 - 7.500000000e+00, -9.348451660e+00, -1.784905900e+02, -5.402347563e-01, -8.788410659e+01, -4.556410623e+01, -6.504700648e-01, -5.518743309e+01, -8.629534170e+01 - 7.600000000e+00, -9.346947948e+00, -1.796036511e+02, -5.404432950e-01, -8.898398278e+01, -4.555634055e+01, -1.698562359e+00, -5.518535373e+01, -8.858630485e+01 - 7.700000000e+00, -9.348726811e+00, +1.792828925e+02, -5.402200539e-01, -9.008386804e+01, -4.555095478e+01, -2.746490657e+00, -5.518652183e+01, -9.087973222e+01 - 7.800000000e+00, -9.353790553e+00, +1.781689129e+02, -5.395653414e-01, -9.118387288e+01, -4.554793295e+01, -3.794609474e+00, -5.519094020e+01, -9.317592260e+01 - 7.900000000e+00, -9.362145268e+00, +1.770542815e+02, -5.384800719e-01, -9.228410771e+01, -4.554726420e+01, -4.843278926e+00, -5.519861675e+01, -9.547518771e+01 - 8.000000000e+00, -9.373800868e+00, +1.759388692e+02, -5.369657654e-01, -9.338468271e+01, -4.554894281e+01, -5.892864126e+00, -5.520956469e+01, -9.777785206e+01 - 8.100000000e+00, -9.388771102e+00, +1.748225458e+02, -5.350245473e-01, -9.448570769e+01, -4.555296824e+01, -6.943734602e+00, -5.522380257e+01, -1.000842529e+02 - 8.200000000e+00, -9.407073601e+00, +1.737051806e+02, -5.326591471e-01, -9.558729198e+01, -4.555934516e+01, -7.996263736e+00, -5.524135440e+01, -1.023947402e+02 - 8.300000000e+00, -9.428729923e+00, +1.725866421e+02, -5.298728971e-01, -9.668954431e+01, -4.556808343e+01, -9.050828235e+00, -5.526224980e+01, -1.047096767e+02 - 8.400000000e+00, -9.453765622e+00, +1.714667985e+02, -5.266697315e-01, -9.779257267e+01, -4.557919822e+01, -1.010780761e+01, -5.528652413e+01, -1.070294381e+02 - 8.500000000e+00, -9.482210313e+00, +1.703455170e+02, -5.230541839e-01, -9.889648420e+01, -4.559270998e+01, -1.116758369e+01, -5.531421865e+01, -1.093544131e+02 - 8.600000000e+00, -9.514097766e+00, +1.692226645e+02, -5.190313853e-01, -1.000013851e+02, -4.560864456e+01, -1.223054014e+01, -5.534538068e+01, -1.116850037e+02 - 8.700000000e+00, -9.549466001e+00, +1.680981072e+02, -5.146070614e-01, -1.011073803e+02, -4.562703323e+01, -1.329706204e+01, -5.538006379e+01, -1.140216255e+02 - 8.800000000e+00, -9.588357406e+00, +1.669717107e+02, -5.097875295e-01, -1.022145737e+02, -4.564791280e+01, -1.436753543e+01, -5.541832801e+01, -1.163647082e+02 - 8.900000000e+00, -9.630818863e+00, +1.658433401e+02, -5.045796952e-01, -1.033230678e+02, -4.567132568e+01, -1.544234692e+01, -5.546024006e+01, -1.187146958e+02 - 9.000000000e+00, -9.676901893e+00, +1.647128597e+02, -4.989910484e-01, -1.044329634e+02, -4.569731998e+01, -1.652188329e+01, -5.550587360e+01, -1.210720477e+02 - 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-1.787652113e+02 + 2.990000000e+01, -3.103329521e+01, +1.586829666e+02, -9.734008586e-03, +9.650210679e+00, -5.913926324e+01, -1.205552484e+02, -7.282291166e+01, +1.714658671e+02 + 3.000000000e+01, -3.207087225e+01, +1.732697801e+02, -9.153249290e-03, +8.393058943e+00, -5.967013209e+01, -1.253860799e+02, -7.182745351e+01, +1.638203698e+02 diff --git a/test/examples/ref/cpw/lumped_adaptive/port-V.csv b/test/examples/ref/cpw/lumped_adaptive/port-V.csv index 4c202b778..d752a6a3c 100644 --- a/test/examples/ref/cpw/lumped_adaptive/port-V.csv +++ b/test/examples/ref/cpw/lumped_adaptive/port-V.csv @@ -1,282 +1,282 @@ f (GHz), V_inc[1] (V), Re{V[1]} (V), Im{V[1]} (V), Re{V[2]} (V), Im{V[2]} (V), Re{V[3]} (V), Im{V[3]} (V), Re{V[4]} (V), Im{V[4]} (V) - 2.000000000e+00, +7.484650960e+00, +7.029083106e+00, -9.799786152e-01, +6.724296365e+00, -3.101042450e+00, +7.840126099e-03, +1.544229322e-02, +4.197973129e-03, +3.619832980e-03 - 2.100000000e+00, +7.484650960e+00, +6.986409901e+00, -1.014431960e+00, +6.650089378e+00, -3.240110270e+00, +8.568452495e-03, +1.594661631e-02, +4.557280000e-03, +3.598689378e-03 - 2.200000000e+00, +7.484650960e+00, +6.942400844e+00, -1.046956930e+00, +6.572950621e+00, -3.377026519e+00, +9.314139578e-03, +1.641365351e-02, +4.916285942e-03, +3.549703908e-03 - 2.300000000e+00, +7.484650960e+00, +6.897147875e+00, -1.077504603e+00, +6.492964047e+00, -3.511728628e+00, +1.007509263e-02, +1.684363186e-02, +5.272983694e-03, +3.473782095e-03 - 2.400000000e+00, +7.484650960e+00, +6.850744372e+00, -1.106030794e+00, +6.410214738e+00, -3.644158336e+00, +1.084942945e-02, +1.723682764e-02, +5.625629939e-03, +3.371882509e-03 - 2.500000000e+00, +7.484650960e+00, +6.803284888e+00, -1.132496060e+00, +6.324788642e+00, -3.774261677e+00, +1.163544453e-02, +1.759352664e-02, +5.972705331e-03, +3.244969842e-03 - 2.600000000e+00, +7.484650960e+00, +6.754864884e+00, -1.156865680e+00, +6.236772327e+00, -3.901988942e+00, +1.243157142e-02, +1.791399837e-02, 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-1.257715869e+00, +5.659145208e+00, -4.616192400e+00, +1.734225119e-02, +1.908739843e-02, +8.147393063e-03, +1.729643783e-03 - 3.300000000e+00, +7.484650960e+00, +6.397126826e+00, -1.266831315e+00, +5.555423686e+00, -4.726239084e+00, +1.817049286e-02, +1.915954803e-02, +8.409588465e-03, +1.432973784e-03 - 3.400000000e+00, +7.484650960e+00, +6.344488557e+00, -1.273737231e+00, +5.449799114e+00, -4.833656507e+00, +1.899794175e-02, +1.919688202e-02, +8.656834478e-03, +1.118477463e-03 - 3.500000000e+00, +7.484650960e+00, +6.291750764e+00, -1.278438591e+00, +5.342353683e+00, -4.938429472e+00, +1.982322241e-02, +1.919963357e-02, +8.888201024e-03, +7.869294565e-04 - 3.600000000e+00, +7.484650960e+00, +6.239005487e+00, -1.280944267e+00, +5.233168193e+00, -5.040545992e+00, +2.064494983e-02, +1.916808763e-02, +9.102763504e-03, +4.391453397e-04 - 3.700000000e+00, +7.484650960e+00, +6.186343394e+00, -1.281266900e+00, +5.122321912e+00, -5.139997134e+00, +2.146173559e-02, +1.910258888e-02, 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b/test/examples/ref/cpw/lumped_adaptive/probe-B.csv index 32a14c994..808bba05a 100644 --- a/test/examples/ref/cpw/lumped_adaptive/probe-B.csv +++ b/test/examples/ref/cpw/lumped_adaptive/probe-B.csv @@ -1,282 +1,282 @@ f (GHz), Re{B_x[1]} (Wb/m²), Im{B_x[1]} (Wb/m²), Re{B_y[1]} (Wb/m²), Im{B_y[1]} (Wb/m²), Re{B_z[1]} (Wb/m²), Im{B_z[1]} (Wb/m²), Re{B_x[2]} (Wb/m²), Im{B_x[2]} (Wb/m²), Re{B_y[2]} (Wb/m²), Im{B_y[2]} (Wb/m²), Re{B_z[2]} (Wb/m²), Im{B_z[2]} (Wb/m²) - 2.000000000e+00, +4.132860288e-05, -5.227359131e-06, +5.752873006e-04, -8.041790467e-05, +7.406365710e-05, -9.723492877e-06, -8.833016184e-05, +1.242883838e-05, -4.771202687e-04, +6.737535112e-05, +5.120813190e-05, -6.549708133e-06 - 2.100000000e+00, +4.135213162e-05, -5.503604876e-06, +5.753833000e-04, -8.458849399e-05, +7.409147541e-05, -1.023132309e-05, -8.834603725e-05, +1.307409541e-05, -4.771772743e-04, +7.086220768e-05, +5.123098427e-05, -6.892299347e-06 - 2.200000000e+00, +4.137626255e-05, -5.782089450e-06, 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-4.776728606e-04, +1.031304654e-04, +5.146227157e-05, -1.008325861e-05 - 3.100000000e+00, +4.160747226e-05, -8.399910947e-06, +5.762827076e-04, -1.276553646e-04, +7.439347194e-05, -1.549842047e-05, -8.845211329e-05, +1.972089541e-05, -4.777146187e-04, +1.068300636e-04, +5.148976270e-05, -1.045151175e-05 - 3.200000000e+00, +4.163332851e-05, -8.704288941e-06, +5.763523782e-04, -1.321190685e-04, +7.442440912e-05, -1.604675258e-05, -8.845782688e-05, +2.040714605e-05, -4.777513020e-04, +1.105554500e-04, +5.151736687e-05, -1.082284683e-05 - 3.300000000e+00, +4.165894066e-05, -9.011588998e-06, +5.764154408e-04, -1.366151192e-04, +7.445512290e-05, -1.659953309e-05, -8.846254452e-05, +2.109791761e-05, -4.777822093e-04, +1.143073920e-04, +5.154500863e-05, -1.119735382e-05 - 3.400000000e+00, +4.168423083e-05, -9.321870640e-06, +5.764710690e-04, -1.411444594e-04, +7.448550812e-05, -1.715689182e-05, -8.846619309e-05, +2.179338586e-05, -4.778066223e-04, +1.180866494e-04, +5.157261004e-05, 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+4.766452538e-04, +4.486425583e-05, -5.201099146e-05, -9.889287949e-06 + 3.000000000e+01, -4.285502511e-05, -1.421537295e-05, -5.742334189e-04, -6.244456899e-05, -7.017489424e-05, -1.234780994e-05, +8.491252268e-05, +7.386230768e-06, +4.768895286e-04, +4.150855986e-05, -5.210730650e-05, -9.566247178e-06 diff --git a/test/examples/ref/cpw/lumped_adaptive/probe-E.csv b/test/examples/ref/cpw/lumped_adaptive/probe-E.csv index dc8d76a1a..4fc6cccdf 100644 --- a/test/examples/ref/cpw/lumped_adaptive/probe-E.csv +++ b/test/examples/ref/cpw/lumped_adaptive/probe-E.csv @@ -1,282 +1,282 @@ f (GHz), Re{E_x[1]} (V/m), Im{E_x[1]} (V/m), Re{E_y[1]} (V/m), Im{E_y[1]} (V/m), Re{E_z[1]} (V/m), Im{E_z[1]} (V/m), Re{E_x[2]} (V/m), Im{E_x[2]} (V/m), Re{E_y[2]} (V/m), Im{E_y[2]} (V/m), Re{E_z[2]} (V/m), Im{E_z[2]} (V/m) - 2.000000000e+00, +2.626387346e+03, -8.006896250e+02, +1.263527018e+04, -4.070939511e+03, -9.867740906e+04, +2.955874006e+04, +8.401598412e+03, -2.536649180e+03, +1.284613587e+04, -4.154424292e+03, +8.479338293e+04, -2.542158250e+04 - 2.100000000e+00, +2.609158654e+03, -8.365603708e+02, +1.253220728e+04, -4.247276211e+03, -9.803068310e+04, +3.087117044e+04, +8.346309228e+03, -2.649910269e+03, +1.274072507e+04, -4.334328447e+03, +8.423910130e+04, -2.655163552e+04 - 2.200000000e+00, +2.591288583e+03, -8.718670963e+02, +1.242563000e+04, -4.419148056e+03, -9.736075798e+04, +3.216192638e+04, +8.288981045e+03, -2.761312923e+03, +1.263172179e+04, -4.509650824e+03, +8.366485223e+04, -2.766321386e+04 - 2.300000000e+00, +2.572802766e+03, -9.065952453e+02, +1.231585044e+04, -4.586491357e+03, -9.666860773e+04, +3.343051181e+04, +8.229701720e+03, -2.870810985e+03, +1.251944793e+04, -4.680326749e+03, +8.307146031e+04, -2.875588717e+04 - 2.400000000e+00, +2.553727014e+03, -9.407317291e+02, +1.220316868e+04, -4.749271291e+03, -9.595520949e+04, +3.467648209e+04, +8.168559290e+03, -2.978363632e+03, +1.240421285e+04, -4.846321428e+03, +8.245975379e+04, -2.982926828e+04 - 2.500000000e+00, +2.534087221e+03, -9.742648800e+02, +1.208787082e+04, -4.907477885e+03, -9.522154082e+04, +3.589944251e+04, +8.105641639e+03, -3.083935117e+03, +1.228631131e+04, -5.007625773e+03, +8.183056242e+04, -3.088301205e+04 - 2.600000000e+00, +2.513909291e+03, -1.007184403e+03, +1.197022772e+04, -5.061122272e+03, -9.446857736e+04, +3.709904665e+04, +8.041036222e+03, -3.187494513e+03, +1.216602221e+04, -5.164252500e+03, +8.118471533e+04, -3.191681425e+04 - 2.700000000e+00, +2.493219064e+03, -1.039481329e+03, +1.185049439e+04, -5.210233269e+03, -9.369729063e+04, +3.827499488e+04, +7.974829838e+03, -3.289015467e+03, +1.204360797e+04, -5.316232575e+03, +8.052303920e+04, -3.293041037e+04 - 2.800000000e+00, +2.472042256e+03, -1.071147965e+03, +1.172890988e+04, -5.354854304e+03, -9.290864607e+04, +3.942703270e+04, +7.907108426e+03, -3.388475961e+03, +1.191931434e+04, -5.463612016e+03, +7.984635650e+04, -3.392357438e+04 - 2.900000000e+00, +2.450404397e+03, -1.102177847e+03, 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-1.395647811e+04, -9.447082954e+02, +1.042931811e+05, +1.269524381e+04, -8.585395330e+03, -7.122209878e+02, -1.488064849e+04, -8.900238875e+02, -9.047062941e+04, -1.029227510e+04 + 2.990000000e+01, -4.499878382e+03, -1.812197424e+02, -1.396503580e+04, -6.713671551e+02, +1.045040210e+05, +1.112090414e+04, -8.599809406e+03, -5.798596239e+02, -1.488947956e+04, -5.999418354e+02, -9.065424620e+04, -8.928985276e+03 + 3.000000000e+01, -4.505556521e+03, -1.135512802e+02, -1.396304844e+04, -3.968829128e+02, +1.046770003e+05, +9.540129102e+03, -8.610921488e+03, -4.469750290e+02, -1.488720991e+04, -3.086395861e+02, -9.080538002e+04, -7.559954067e+03 diff --git a/test/examples/ref/cpw/lumped_adaptive/surface-F.csv b/test/examples/ref/cpw/lumped_adaptive/surface-F.csv index fba61244d..9b9b07f56 100644 --- a/test/examples/ref/cpw/lumped_adaptive/surface-F.csv +++ b/test/examples/ref/cpw/lumped_adaptive/surface-F.csv @@ -1,282 +1,282 @@ f (GHz), Re{Φ_elec[1]} (C), Im{Φ_elec[1]} (C), Φ_pow[2] (W) - 2.000000000e+00, +1.082242895e-12, -3.230446706e-13, +2.316915272e-06 - 2.100000000e+00, +1.074421512e-12, -3.370906007e-13, +2.545829552e-06 - 2.200000000e+00, +1.066327143e-12, -3.508653720e-13, +2.784224449e-06 - 2.300000000e+00, +1.057971893e-12, -3.643631367e-13, +3.031943355e-06 - 2.400000000e+00, +1.049367890e-12, -3.775786767e-13, +3.288822654e-06 - 2.500000000e+00, +1.040527249e-12, -3.905073860e-13, +3.554692619e-06 - 2.600000000e+00, +1.031462039e-12, -4.031452519e-13, +3.829378606e-06 - 2.700000000e+00, +1.022184256e-12, -4.154888336e-13, +4.112702457e-06 - 2.800000000e+00, +1.012705797e-12, -4.275352416e-13, +4.404484022e-06 - 2.900000000e+00, +1.003038436e-12, -4.392821150e-13, +4.704542748e-06 - 3.000000000e+00, +9.931938023e-13, -4.507275996e-13, +5.012699252e-06 - 3.100000000e+00, +9.831833648e-13, -4.618703261e-13, +5.328776871e-06 - 3.200000000e+00, +9.730184136e-13, -4.727093873e-13, +5.652603117e-06 - 3.300000000e+00, +9.627100462e-13, -4.832443175e-13, +5.984011041e-06 - 3.400000000e+00, +9.522691546e-13, -4.934750709e-13, +6.322840469e-06 - 3.500000000e+00, +9.417064142e-13, -5.034020009e-13, +6.668939107e-06 - 3.600000000e+00, +9.310322735e-13, -5.130258403e-13, +7.022163510e-06 - 3.700000000e+00, +9.202569456e-13, -5.223476816e-13, +7.382379917e-06 - 3.800000000e+00, +9.093904003e-13, -5.313689577e-13, +7.749464935e-06 - 3.900000000e+00, +8.984423572e-13, -5.400914234e-13, +8.123306107e-06 - 4.000000000e+00, +8.874222802e-13, -5.485171371e-13, +8.503802340e-06 - 4.100000000e+00, +8.763393720e-13, -5.566484434e-13, +8.890864229e-06 - 4.200000000e+00, +8.652025700e-13, -5.644879550e-13, +9.284414259e-06 - 4.300000000e+00, +8.540205428e-13, -5.720385365e-13, +9.684386917e-06 - 4.400000000e+00, +8.428016874e-13, -5.793032873e-13, +1.009072871e-05 - 4.500000000e+00, +8.315541266e-13, -5.862855254e-13, +1.050339811e-05 - 4.600000000e+00, +8.202857083e-13, -5.929887718e-13, +1.092236540e-05 - 4.700000000e+00, +8.090040037e-13, 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9b53d5b1e..504cb6ef8 100644 --- a/test/examples/ref/cpw/lumped_adaptive/surface-Q.csv +++ b/test/examples/ref/cpw/lumped_adaptive/surface-Q.csv @@ -1,282 +1,282 @@ f (GHz), p_surf[1], Q_surf[1], p_surf[2], Q_surf[2], p_surf[3], Q_surf[3] - 2.000000000e+00, +9.430586462e-05, +1.060379441e+04, +3.333523131e-05, +2.999829192e+04, +2.770094318e-07, +3.609985384e+06 - 2.100000000e+00, +9.430869955e-05, +1.060347566e+04, +3.333658850e-05, +2.999707064e+04, +2.770396642e-07, +3.609591439e+06 - 2.200000000e+00, +9.431144162e-05, +1.060316737e+04, +3.333784873e-05, +2.999593669e+04, +2.770701050e-07, +3.609194864e+06 - 2.300000000e+00, +9.431408105e-05, +1.060287063e+04, +3.333900144e-05, +2.999489958e+04, +2.771007356e-07, +3.608795905e+06 - 2.400000000e+00, +9.431660906e-05, +1.060258644e+04, +3.334003680e-05, +2.999396809e+04, +2.771315426e-07, +3.608394738e+06 - 2.500000000e+00, +9.431901769e-05, +1.060231568e+04, +3.334094571e-05, +2.999315043e+04, +2.771625170e-07, +3.607991480e+06 - 2.600000000e+00, +9.432129973e-05, +1.060205916e+04, +3.334171970e-05, +2.999245417e+04, +2.771936537e-07, +3.607586200e+06 - 2.700000000e+00, +9.432344863e-05, +1.060181762e+04, +3.334235090e-05, +2.999188639e+04, +2.772249504e-07, +3.607178930e+06 - 2.800000000e+00, +9.432545840e-05, +1.060159173e+04, +3.334283196e-05, +2.999145367e+04, +2.772564072e-07, +3.606769669e+06 - 2.900000000e+00, +9.432732357e-05, +1.060138210e+04, +3.334315605e-05, +2.999116216e+04, +2.772880262e-07, +3.606358392e+06 - 3.000000000e+00, +9.432903906e-05, +1.060118930e+04, +3.334331671e-05, +2.999101765e+04, +2.773198110e-07, +3.605945051e+06 - 3.100000000e+00, +9.433060021e-05, +1.060101386e+04, +3.334330792e-05, +2.999102556e+04, +2.773517666e-07, +3.605529585e+06 - 3.200000000e+00, +9.433200262e-05, +1.060085625e+04, +3.334312394e-05, +2.999119104e+04, +2.773838988e-07, +3.605111920e+06 - 3.300000000e+00, +9.433324220e-05, +1.060071695e+04, +3.334275936e-05, +2.999151898e+04, +2.774162141e-07, +3.604691972e+06 - 3.400000000e+00, +9.433431506e-05, +1.060059639e+04, +3.334220899e-05, +2.999201404e+04, +2.774487196e-07, +3.604269652e+06 - 3.500000000e+00, +9.433521750e-05, +1.060049498e+04, +3.334146788e-05, +2.999268070e+04, +2.774814225e-07, +3.603844867e+06 - 3.600000000e+00, +9.433594598e-05, +1.060041313e+04, +3.334053125e-05, +2.999352327e+04, +2.775143303e-07, +3.603417520e+06 - 3.700000000e+00, +9.433649708e-05, +1.060035120e+04, +3.333939452e-05, +2.999454592e+04, +2.775474506e-07, +3.602987518e+06 - 3.800000000e+00, +9.433686748e-05, +1.060030958e+04, +3.333805322e-05, +2.999575270e+04, +2.775807906e-07, +3.602554766e+06 - 3.900000000e+00, +9.433705396e-05, +1.060028863e+04, +3.333650303e-05, +2.999714755e+04, +2.776143575e-07, +3.602119173e+06 - 4.000000000e+00, +9.433705334e-05, +1.060028869e+04, +3.333473974e-05, +2.999873429e+04, +2.776481583e-07, +3.601680653e+06 - 4.100000000e+00, +9.433686252e-05, +1.060031014e+04, +3.333275925e-05, +3.000051668e+04, +2.776821993e-07, +3.601239124e+06 - 4.200000000e+00, +9.433647844e-05, +1.060035329e+04, +3.333055758e-05, +3.000249839e+04, +2.777164865e-07, +3.600794510e+06 - 4.300000000e+00, +9.433589809e-05, +1.060041851e+04, +3.332813083e-05, +3.000468298e+04, +2.777510256e-07, +3.600346742e+06 - 4.400000000e+00, +9.433511850e-05, +1.060050611e+04, +3.332547524e-05, +3.000707396e+04, +2.777858214e-07, +3.599895757e+06 - 4.500000000e+00, +9.433413675e-05, +1.060061643e+04, +3.332258712e-05, +3.000967471e+04, +2.778208784e-07, +3.599441503e+06 - 4.600000000e+00, +9.433294994e-05, +1.060074980e+04, +3.331946295e-05, +3.001248854e+04, +2.778562002e-07, +3.598983932e+06 - 4.700000000e+00, +9.433155527e-05, +1.060090653e+04, +3.331609929e-05, +3.001551866e+04, +2.778917900e-07, +3.598523008e+06 - 4.800000000e+00, +9.432994996e-05, +1.060108693e+04, +3.331249287e-05, +3.001876815e+04, +2.779276501e-07, +3.598058702e+06 - 4.900000000e+00, +9.432813133e-05, +1.060129132e+04, +3.330864058e-05, +3.002223995e+04, +2.779637822e-07, +3.597590995e+06 - 5.000000000e+00, +9.432609677e-05, +1.060151998e+04, +3.330453946e-05, +3.002593689e+04, +2.780001873e-07, +3.597119879e+06 - 5.100000000e+00, +9.432384378e-05, +1.060177321e+04, +3.330018675e-05, +3.002986162e+04, +2.780368654e-07, +3.596645353e+06 - 5.200000000e+00, +9.432136997e-05, +1.060205127e+04, +3.329557990e-05, +3.003401662e+04, +2.780738162e-07, +3.596167427e+06 - 5.300000000e+00, +9.431867308e-05, +1.060235442e+04, +3.329071660e-05, +3.003840416e+04, +2.781110382e-07, +3.595686121e+06 - 5.400000000e+00, +9.431575098e-05, +1.060268290e+04, +3.328559476e-05, +3.004302633e+04, +2.781485293e-07, +3.595201465e+06 - 5.500000000e+00, +9.431260175e-05, +1.060303694e+04, +3.328021260e-05, +3.004788497e+04, +2.781862867e-07, +3.594713499e+06 - 5.600000000e+00, +9.430922361e-05, +1.060341674e+04, +3.327456862e-05, +3.005298165e+04, +2.782243068e-07, +3.594222272e+06 - 5.700000000e+00, +9.430561502e-05, +1.060382247e+04, +3.326866163e-05, +3.005831768e+04, +2.782625850e-07, +3.593727845e+06 - 5.800000000e+00, +9.430177466e-05, +1.060425431e+04, +3.326249080e-05, +3.006389407e+04, +2.783011163e-07, +3.593230287e+06 - 5.900000000e+00, +9.429770146e-05, +1.060471236e+04, +3.325605568e-05, +3.006971151e+04, +2.783398947e-07, +3.592729678e+06 - 6.000000000e+00, +9.429339461e-05, +1.060519673e+04, +3.324935618e-05, +3.007577032e+04, +2.783789133e-07, +3.592226107e+06 - 6.100000000e+00, +9.428885361e-05, +1.060570748e+04, +3.324239268e-05, +3.008207049e+04, +2.784181648e-07, +3.591719674e+06 - 6.200000000e+00, +9.428407828e-05, +1.060624464e+04, +3.323516597e-05, +3.008861159e+04, +2.784576409e-07, +3.591210486e+06 - 6.300000000e+00, +9.427906875e-05, +1.060680821e+04, +3.322767732e-05, +3.009539278e+04, +2.784973326e-07, +3.590698663e+06 - 6.400000000e+00, +9.427382555e-05, +1.060739812e+04, +3.321992850e-05, +3.010241277e+04, +2.785372303e-07, +3.590184332e+06 - 6.500000000e+00, +9.426834955e-05, +1.060801430e+04, +3.321192180e-05, +3.010966984e+04, +2.785773235e-07, +3.589667628e+06 - 6.600000000e+00, +9.426264205e-05, +1.060865660e+04, +3.320366004e-05, +3.011716175e+04, +2.786176011e-07, +3.589148697e+06 - 6.700000000e+00, +9.425670476e-05, +1.060932485e+04, +3.319514661e-05, +3.012488578e+04, +2.786580514e-07, +3.588627693e+06 - 6.800000000e+00, +9.425053983e-05, +1.061001880e+04, +3.318638548e-05, +3.013283868e+04, +2.786986619e-07, +3.588104777e+06 - 6.900000000e+00, +9.424414988e-05, +1.061073819e+04, +3.317738123e-05, +3.014101665e+04, +2.787394195e-07, +3.587580120e+06 - 7.000000000e+00, +9.423753798e-05, +1.061148266e+04, +3.316813904e-05, +3.014941535e+04, +2.787803106e-07, +3.587053898e+06 - 7.100000000e+00, +9.423070772e-05, +1.061225183e+04, +3.315866472e-05, +3.015802983e+04, +2.788213209e-07, +3.586526299e+06 - 7.200000000e+00, +9.422366315e-05, +1.061304524e+04, +3.314896476e-05, +3.016685459e+04, +2.788624355e-07, +3.585997512e+06 - 7.300000000e+00, 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8.100000000e+00, +9.415155130e-05, +1.062117391e+04, +3.305290654e-05, +3.025452539e+04, +2.792344719e-07, +3.581219729e+06 - 8.200000000e+00, +9.414270404e-05, +1.062217205e+04, +3.304145192e-05, +3.026501385e+04, +2.792757109e-07, +3.580690912e+06 - 8.300000000e+00, +9.413372224e-05, +1.062318557e+04, +3.302988649e-05, +3.027561116e+04, +2.793168626e-07, +3.580163370e+06 - 8.400000000e+00, +9.412461626e-05, +1.062421330e+04, +3.301822448e-05, +3.028630448e+04, +2.793579078e-07, +3.579637348e+06 - 8.500000000e+00, +9.411539695e-05, +1.062525402e+04, +3.300648070e-05, +3.029708042e+04, +2.793988273e-07, +3.579113090e+06 - 8.600000000e+00, +9.410607559e-05, +1.062630647e+04, +3.299467047e-05, +3.030792506e+04, +2.794396018e-07, +3.578590843e+06 - 8.700000000e+00, +9.409666387e-05, +1.062736933e+04, +3.298280960e-05, +3.031882402e+04, +2.794802119e-07, +3.578070852e+06 - 8.800000000e+00, +9.408717392e-05, +1.062844125e+04, +3.297091438e-05, +3.032976242e+04, +2.795206383e-07, 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2.950000000e+01, +9.382206168e-05, +1.065847395e+04, +3.185699745e-05, +3.139027781e+04, +2.635951637e-07, +3.793696310e+06 + 2.960000000e+01, +9.381064071e-05, +1.065977156e+04, +3.184152588e-05, +3.140553012e+04, +2.636094541e-07, +3.793490652e+06 + 2.970000000e+01, +9.379978466e-05, +1.066100528e+04, +3.182673610e-05, +3.142012416e+04, +2.636292017e-07, +3.793206494e+06 + 2.980000000e+01, +9.378951869e-05, +1.066217221e+04, +3.181265808e-05, +3.143402848e+04, +2.636544795e-07, +3.792842822e+06 + 2.990000000e+01, +9.377986673e-05, +1.066326958e+04, +3.179931907e-05, +3.144721426e+04, +2.636853550e-07, +3.792398710e+06 + 3.000000000e+01, +9.377085112e-05, +1.066429480e+04, +3.178674327e-05, +3.145965573e+04, +2.637218884e-07, +3.791873348e+06 diff --git a/test/examples/ref/cpw/lumped_uniform/domain-E.csv b/test/examples/ref/cpw/lumped_uniform/domain-E.csv index 004ecb245..46c6c03b1 100644 --- a/test/examples/ref/cpw/lumped_uniform/domain-E.csv +++ b/test/examples/ref/cpw/lumped_uniform/domain-E.csv @@ -1,16 +1,16 @@ f (GHz), E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] - 2.000000000e+00, +2.216171468e-02, +1.174250000e-02, +0.000000000e+00, +0.000000000e+00, +2.008864119e-02, +9.064569906e-01, +5.834056336e-03, +4.968325599e-01 - 4.000000000e+00, +1.952362891e-02, +1.277588407e-02, +0.000000000e+00, +0.000000000e+00, +1.770271505e-02, +9.067328174e-01, +6.340371738e-03, +4.962765552e-01 - 6.000000000e+00, +1.682441136e-02, +1.412988310e-02, +0.000000000e+00, +0.000000000e+00, +1.526013477e-02, +9.070233985e-01, +7.006078393e-03, +4.958341372e-01 - 8.000000000e+00, +1.507083944e-02, +1.554969078e-02, +0.000000000e+00, +0.000000000e+00, +1.367101954e-02, +9.071173234e-01, +7.707714634e-03, +4.956828237e-01 - 1.000000000e+01, +1.464788184e-02, +1.682236258e-02, +0.000000000e+00, +0.000000000e+00, +1.328355952e-02, +9.068587298e-01, +8.341260918e-03, +4.958436057e-01 - 1.200000000e+01, +1.543212428e-02, +1.766614890e-02, +0.000000000e+00, +0.000000000e+00, +1.398690635e-02, +9.063500330e-01, +8.767373129e-03, +4.962809483e-01 - 1.400000000e+01, +1.677278787e-02, +1.775821719e-02, +0.000000000e+00, +0.000000000e+00, +1.519426407e-02, +9.058878101e-01, +8.824392539e-03, +4.969188318e-01 - 1.600000000e+01, +1.765970904e-02, +1.703029220e-02, +0.000000000e+00, +0.000000000e+00, +1.599435066e-02, +9.056972925e-01, +8.474235368e-03, +4.975977670e-01 - 1.800000000e+01, +1.748105116e-02, +1.593435453e-02, +0.000000000e+00, +0.000000000e+00, +1.583455364e-02, +9.058124419e-01, +7.936961139e-03, +4.981037119e-01 - 2.000000000e+01, +1.655983246e-02, +1.513771137e-02, +0.000000000e+00, +0.000000000e+00, +1.500453615e-02, +9.060801907e-01, +7.543547963e-03, +4.983281672e-01 - 2.200000000e+01, +1.562507979e-02, +1.499257533e-02, +0.000000000e+00, +0.000000000e+00, +1.416121422e-02, +9.063130817e-01, +7.471127821e-03, +4.983218463e-01 - 2.400000000e+01, +1.523207558e-02, +1.548971521e-02, +0.000000000e+00, +0.000000000e+00, +1.380584369e-02, +9.063665432e-01, +7.717340832e-03, +4.982235457e-01 - 2.600000000e+01, +1.559161690e-02, +1.637464594e-02, +0.000000000e+00, +0.000000000e+00, +1.412940101e-02, +9.062178155e-01, +8.156986040e-03, +4.981473229e-01 - 2.800000000e+01, +1.650371552e-02, +1.717772107e-02, +0.000000000e+00, +0.000000000e+00, +1.495248992e-02, +9.060074926e-01, +8.556848536e-03, +4.981364235e-01 - 3.000000000e+01, +1.732396097e-02, +1.734186029e-02, +0.000000000e+00, +0.000000000e+00, +1.569438885e-02, +9.059353619e-01, +8.639411976e-03, +4.981825381e-01 + 2.000000000e+00, +2.212584501e-02, +1.176653286e-02, +0.000000000e+00, +0.000000000e+00, +2.005547634e-02, +9.064275885e-01, +5.850334176e-03, +4.972011933e-01 + 4.000000000e+00, +1.950786316e-02, +1.279858357e-02, +0.000000000e+00, +0.000000000e+00, +1.768784119e-02, +9.067031609e-01, +6.356552608e-03, +4.966606323e-01 + 6.000000000e+00, +1.682618167e-02, +1.415078462e-02, +0.000000000e+00, +0.000000000e+00, +1.526124019e-02, +9.069936652e-01, +7.021840900e-03, +4.962156580e-01 + 8.000000000e+00, +1.508257484e-02, +1.556700312e-02, +0.000000000e+00, +0.000000000e+00, +1.368123089e-02, +9.070885470e-01, +7.721811258e-03, +4.960371113e-01 + 1.000000000e+01, +1.466211949e-02, +1.683284763e-02, +0.000000000e+00, +0.000000000e+00, +1.329608882e-02, +9.068326600e-01, +8.351655751e-03, +4.961522811e-01 + 1.200000000e+01, +1.544214842e-02, +1.766728079e-02, +0.000000000e+00, +0.000000000e+00, +1.399564396e-02, +9.063275122e-01, +8.772507372e-03, +4.965397605e-01 + 1.400000000e+01, +1.677468310e-02, +1.775197827e-02, +0.000000000e+00, +0.000000000e+00, +1.519563845e-02, +9.058673933e-01, +8.825283176e-03, +4.971436447e-01 + 1.600000000e+01, +1.765662993e-02, +1.702379066e-02, +0.000000000e+00, +0.000000000e+00, +1.599118968e-02, +9.056762098e-01, +8.474854043e-03, +4.978241458e-01 + 1.800000000e+01, +1.748075677e-02, +1.593356767e-02, +0.000000000e+00, +0.000000000e+00, +1.583387825e-02, +9.057890604e-01, +7.940831994e-03, +4.983712474e-01 + 2.000000000e+01, +1.656626477e-02, +1.514286648e-02, +0.000000000e+00, +0.000000000e+00, +1.500993300e-02, +9.060541536e-01, +7.551035249e-03, +4.986529636e-01 + 2.200000000e+01, +1.563626638e-02, +1.500010574e-02, +0.000000000e+00, +0.000000000e+00, +1.417090887e-02, +9.062846924e-01, +7.480312763e-03, +4.986840023e-01 + 2.400000000e+01, +1.524338167e-02, +1.549512621e-02, +0.000000000e+00, +0.000000000e+00, +1.381564348e-02, +9.063371753e-01, +7.725597004e-03, +4.985823865e-01 + 2.600000000e+01, +1.559801992e-02, +1.637389706e-02, +0.000000000e+00, +0.000000000e+00, +1.413476095e-02, +9.061894407e-01, +8.161859561e-03, +4.984677461e-01 + 2.800000000e+01, +1.650159645e-02, +1.716935932e-02, +0.000000000e+00, +0.000000000e+00, +1.495013909e-02, +9.059813777e-01, +8.557336358e-03, +4.984074362e-01 + 3.000000000e+01, +1.731433071e-02, +1.732982072e-02, +0.000000000e+00, +0.000000000e+00, +1.568524124e-02, +9.059109189e-01, +8.637588519e-03, +4.984234205e-01 diff --git a/test/examples/ref/cpw/lumped_uniform/error-indicators.csv b/test/examples/ref/cpw/lumped_uniform/error-indicators.csv index 1b23cfbd1..d01c6bf1c 100644 --- a/test/examples/ref/cpw/lumped_uniform/error-indicators.csv +++ b/test/examples/ref/cpw/lumped_uniform/error-indicators.csv @@ -1,2 +1,2 @@ Norm, Minimum, Maximum, Mean - +6.832482265e-01, +1.499550940e-06, +3.102155582e-02, +2.587446658e-03 + +5.379238861e-01, +1.503866793e-06, +3.144407833e-02, +1.841867579e-03 diff --git a/test/examples/ref/cpw/lumped_uniform/port-I.csv b/test/examples/ref/cpw/lumped_uniform/port-I.csv index b69e233b2..8b101cadb 100644 --- a/test/examples/ref/cpw/lumped_uniform/port-I.csv +++ b/test/examples/ref/cpw/lumped_uniform/port-I.csv @@ -1,16 +1,16 @@ f (GHz), I_inc[1] (A), Re{I[1]} (A), Im{I[1]} (A), Re{I[2]} (A), Im{I[2]} (A), Re{I[3]} (A), Im{I[3]} (A), Re{I[4]} (A), Im{I[4]} (A) - 2.000000000e+00, +1.336067647e-01, +1.254745361e-01, -1.749336771e-02, +1.200338436e-01, -5.535599154e-02, +1.393274590e-04, +2.760186426e-04, +7.406586485e-05, +6.497917987e-05 - 4.000000000e+00, +1.336067647e-01, +1.076354841e-01, -2.265828435e-02, +8.533710178e-02, -9.679241249e-02, +4.272587420e-04, +3.351765709e-04, +1.753333536e-04, -1.761341227e-05 - 6.000000000e+00, +1.336067647e-01, +9.242767974e-02, -1.357195499e-02, +4.047364178e-02, -1.196634885e-01, +6.462685865e-04, +1.774165026e-04, +1.356142342e-04, -1.741554609e-04 - 8.000000000e+00, +1.336067647e-01, +8.831215313e-02, +3.215874085e-03, -7.415212749e-03, -1.253781801e-01, +7.033575566e-04, -7.062110068e-05, -3.190674584e-05, -2.283070032e-04 - 1.000000000e+01, +1.336067647e-01, +9.737278251e-02, +1.825424557e-02, -5.503766985e-02, -1.147189136e-01, +5.874346711e-04, -3.073571669e-04, -1.696834457e-04, -1.171680215e-04 - 1.200000000e+01, +1.336067647e-01, +1.153419372e-01, +2.250492363e-02, -9.806496524e-02, -8.590167633e-02, +3.123460320e-04, -4.119672655e-04, -1.373279460e-04, +4.504591198e-05 - 1.400000000e+01, +1.336067647e-01, +1.315899617e-01, +1.158142092e-02, -1.272911548e-01, -3.872071573e-02, +3.073550414e-05, -2.528265820e-04, +6.529419212e-06, +5.245364389e-05 - 1.600000000e+01, +1.336067647e-01, +1.342152068e-01, -8.454088758e-03, -1.320200213e-01, +1.853555957e-02, +2.129658024e-07, +6.558010495e-05, +7.883969581e-06, -8.066103837e-05 - 1.800000000e+01, +1.336067647e-01, +1.211436918e-01, -2.337146875e-02, -1.104368175e-01, +7.029469898e-02, +2.128164315e-04, +2.563800564e-04, -1.350415670e-04, -8.678362842e-05 - 2.000000000e+01, +1.336067647e-01, +1.024451029e-01, -2.387673304e-02, -7.166830883e-02, +1.056304993e-01, +4.634259152e-04, +2.223585275e-04, -2.002221942e-04, +5.548903840e-05 - 2.200000000e+01, +1.336067647e-01, +8.984915350e-02, -1.168139210e-02, -2.567990390e-02, +1.229787489e-01, +5.998043958e-04, +3.624734720e-05, -1.103066609e-04, +1.947964454e-04 - 2.400000000e+01, +1.336067647e-01, +8.962335199e-02, +5.190775271e-03, +2.244087693e-02, +1.239720228e-01, +5.762211139e-04, -1.899409658e-04, +5.395348324e-05, +2.019444789e-04 - 2.600000000e+01, +1.336067647e-01, +1.017378596e-01, +1.709068846e-02, +6.979313685e-02, +1.079568858e-01, +3.922188809e-04, -3.558462522e-04, +1.416282672e-04, +7.808823848e-05 - 2.800000000e+01, +1.336067647e-01, +1.194848447e-01, +1.584272424e-02, +1.101727822e-01, +7.241227955e-02, +1.139717022e-04, -3.390481563e-04, +7.534799470e-05, -3.270919919e-05 - 3.000000000e+01, +1.336067647e-01, +1.303913138e-01, +4.507808615e-04, +1.320303448e-01, +1.957052809e-02, -7.735734317e-05, -1.136226849e-04, -3.059652376e-05, +8.523468980e-06 + 2.000000000e+00, +1.336067647e-01, +1.255220319e-01, -1.739279275e-02, +1.200608314e-01, -5.533591461e-02, +1.393198714e-04, +2.764873878e-04, +7.367742603e-05, +6.475000895e-05 + 4.000000000e+00, +1.336067647e-01, +1.077769014e-01, -2.252911561e-02, +8.539628952e-02, -9.680784620e-02, +4.280903573e-04, +3.362010493e-04, +1.746690509e-04, -1.734899692e-05 + 6.000000000e+00, +1.336067647e-01, +9.264344432e-02, -1.347558668e-02, +4.051015744e-02, -1.197356357e-01, +6.484264617e-04, +1.777681243e-04, +1.352424618e-04, -1.734408235e-04 + 8.000000000e+00, +1.336067647e-01, +8.856631840e-02, +3.253328954e-03, -7.446732157e-03, -1.254663885e-01, +7.057536364e-04, -7.206011723e-05, -3.184834961e-05, -2.274021746e-04 + 1.000000000e+01, +1.336067647e-01, +9.762877527e-02, +1.822274455e-02, -5.512825829e-02, -1.147603679e-01, +5.884748311e-04, -3.101307612e-04, -1.690435652e-04, -1.162507393e-04 + 1.200000000e+01, +1.336067647e-01, +1.155544942e-01, +2.241534456e-02, -9.815442780e-02, -8.586688864e-02, +3.116975197e-04, -4.144129329e-04, -1.360373887e-04, +4.548577493e-05 + 1.400000000e+01, +1.336067647e-01, +1.317309529e-01, +1.148582256e-02, -1.273232026e-01, -3.864861306e-02, +2.976489385e-05, -2.541398700e-04, +7.969321881e-06, +5.191247196e-05 + 1.600000000e+01, +1.336067647e-01, +1.343203387e-01, -8.500051043e-03, -1.320092609e-01, +1.858418345e-02, -3.897965919e-07, +6.444173949e-05, +8.511469930e-06, -8.193925622e-05 + 1.800000000e+01, +1.336067647e-01, +1.212755359e-01, -2.337887278e-02, -1.104326175e-01, +7.032165478e-02, +2.120987997e-04, +2.552826834e-04, -1.349488951e-04, -8.776364875e-05 + 2.000000000e+01, +1.336067647e-01, +1.026164782e-01, -2.389817200e-02, -7.167029267e-02, +1.056746846e-01, +4.629690825e-04, +2.212386132e-04, -2.001860752e-04, +5.437151391e-05 + 2.200000000e+01, +1.336067647e-01, +9.003074819e-02, -1.174891305e-02, -2.564998986e-02, +1.230429738e-01, +5.992252437e-04, +3.432811508e-05, -1.107833282e-04, +1.933899046e-04 + 2.400000000e+01, +1.336067647e-01, +8.977858958e-02, +5.072006679e-03, +2.252157243e-02, +1.240171185e-01, +5.742309756e-04, -1.923901393e-04, +5.262158277e-05, +2.006393633e-04 + 2.600000000e+01, +1.336067647e-01, +1.018281718e-01, +1.693458823e-02, +6.989739332e-02, +1.079400885e-01, +3.885369228e-04, -3.570571641e-04, +1.395208358e-04, +7.756400536e-05 + 2.800000000e+01, +1.336067647e-01, +1.194772625e-01, +1.569598598e-02, +1.102429817e-01, +7.233290997e-02, +1.106314633e-04, -3.382287627e-04, +7.322758755e-05, -3.219362149e-05 + 3.000000000e+01, +1.336067647e-01, +1.303009291e-01, +3.901123632e-04, +1.320366302e-01, +1.948113757e-02, -8.034585207e-05, -1.131454570e-04, -3.283367571e-05, +9.556648211e-06 diff --git a/test/examples/ref/cpw/lumped_uniform/port-S.csv b/test/examples/ref/cpw/lumped_uniform/port-S.csv index 6dc523cfd..010613e60 100644 --- a/test/examples/ref/cpw/lumped_uniform/port-S.csv +++ b/test/examples/ref/cpw/lumped_uniform/port-S.csv @@ -1,16 +1,16 @@ f (GHz), |S[1][1]| (dB), arg(S[1][1]) (deg.), |S[2][1]| (dB), arg(S[2][1]) (deg.), |S[3][1]| (dB), arg(S[3][1]) (deg.), |S[4][1]| (dB), arg(S[4][1]) (deg.) - 2.000000000e+00, -1.680937639e+01, -1.149325369e+02, -9.304098001e-02, -2.475772784e+01, -5.271206127e+01, +6.321647265e+01, -6.264525063e+01, +4.126099986e+01 - 4.000000000e+00, -1.176875087e+01, -1.388973790e+02, -3.021156549e-01, -4.859896373e+01, -4.781991892e+01, +3.811352737e+01, -5.759567078e+01, -5.736500569e+00 - 6.000000000e+00, -9.775186815e+00, -1.617586228e+02, -4.869296334e-01, -7.131298081e+01, -4.599275450e+01, +1.535091473e+01, -5.563937626e+01, -5.209223564e+01 - 8.000000000e+00, -9.373800953e+00, +1.759388692e+02, -5.369651872e-01, -9.338468833e+01, -4.552948248e+01, -5.733606386e+00, -5.526217953e+01, -9.795576861e+01 - 1.000000000e+01, -1.035195681e+01, +1.532615827e+02, -4.242146755e-01, -1.156298790e+02, -4.608650665e+01, -2.761943327e+01, -5.623055295e+01, -1.453745548e+02 - 1.200000000e+01, -1.327338570e+01, +1.290625255e+02, -2.131437899e-01, -1.387827091e+02, -4.824695191e+01, -5.283126235e+01, -5.931757980e+01, +1.618396259e+02 - 1.400000000e+01, -2.111158892e+01, +9.987849758e+01, -3.626415938e-02, -1.630807555e+02, -5.439640101e+01, -8.306870493e+01, -6.805427685e+01, +8.290433213e+01 - 1.600000000e+01, -2.395279579e+01, -8.588351183e+01, -1.899746616e-02, +1.720079350e+02, -6.618108101e+01, +8.981393749e+01, -6.434199942e+01, -8.441752938e+01 - 1.800000000e+01, -1.405595952e+01, -1.180692223e+02, -1.770599729e-01, +1.475226324e+02, -5.206249543e+01, +5.030455020e+01, -5.840582538e+01, -1.472734230e+02 - 2.000000000e+01, -1.063812675e+01, -1.425398906e+02, -3.962521580e-01, +1.241561550e+02, -4.829712751e+01, +2.563237246e+01, -5.616495366e+01, +1.645099626e+02 - 2.200000000e+01, -9.396523891e+00, -1.650530639e+02, -5.346100615e-01, +1.017947789e+02, -4.694054444e+01, +3.458289664e+00, -5.551704634e+01, +1.195214153e+02 - 2.400000000e+01, -9.590719608e+00, +1.732692769e+02, -5.100730807e-01, +7.973966979e+01, -4.685681235e+01, -1.824387792e+01, -5.611249495e+01, +7.504166808e+01 - 2.600000000e+01, -1.135142545e+01, +1.517961860e+02, -3.349516111e-01, +5.711770227e+01, -4.803782550e+01, -4.221634110e+01, -5.834079937e+01, +2.887060845e+01 - 2.800000000e+01, -1.598038712e+01, +1.317132383e+02, -1.156763952e-01, +3.331536049e+01, -5.144639683e+01, -7.141982843e+01, -6.422532538e+01, -2.346607087e+01 - 3.000000000e+01, -3.228720363e+01, +1.720195942e+02, -8.706417673e-03, +8.431417919e+00, -5.975326708e+01, -1.242480742e+02, -7.247853204e+01, +1.644334186e+02 + 2.000000000e+00, -1.685959990e+01, -1.149305296e+02, -9.198291935e-02, -2.474492784e+01, -5.270040755e+01, +6.325681591e+01, -6.268439987e+01, +4.131000935e+01 + 4.000000000e+00, -1.181714071e+01, -1.389046739e+02, -2.987020189e-01, -4.858378876e+01, -4.779936238e+01, +3.814434297e+01, -5.762961461e+01, -5.672296720e+00 + 6.000000000e+00, -9.822408482e+00, -1.617904929e+02, -4.814276045e-01, -7.130777952e+01, -4.596462369e+01, +1.533112928e+01, -5.567060672e+01, -5.205426923e+01 + 8.000000000e+00, -9.421915452e+00, +1.758686277e+02, -5.307489686e-01, -9.339665769e+01, -4.549846485e+01, -5.829912641e+00, -5.529631524e+01, -9.797258691e+01 + 1.000000000e+01, -1.040407061e+01, +1.531379218e+02, -4.189888052e-01, -1.156585658e+02, -4.605759603e+01, -2.778957537e+01, -5.627478369e+01, -1.454838162e+02 + 1.200000000e+01, -1.333452381e+01, +1.288463439e+02, -2.101860526e-01, -1.388201043e+02, -4.822076716e+01, -5.305162441e+01, -5.938314374e+01, +1.615120074e+02 + 1.400000000e+01, -2.119901004e+01, +9.927539825e+01, -3.563093554e-02, -1.631144752e+02, -5.435594506e+01, -8.331994382e+01, -6.810997315e+01, +8.127239659e+01 + 1.600000000e+01, -2.389763874e+01, -8.520130699e+01, -1.925066888e-02, +1.719865969e+02, -6.633306496e+01, +9.034656773e+01, -6.420011885e+01, -8.406964879e+01 + 1.800000000e+01, -1.407409107e+01, -1.178094870e+02, -1.763345595e-01, +1.475116936e+02, -5.209652092e+01, +5.027887687e+01, -5.838128100e+01, -1.469621463e+02 + 2.000000000e+01, -1.066534086e+01, -1.423623724e+02, -3.936886056e-01, +1.241457597e+02, -4.831227652e+01, +2.554169363e+01, -5.617878220e+01, +1.648047549e+02 + 2.200000000e+01, -9.426858706e+00, -1.649107842e+02, -5.306865831e-01, +1.017754458e+02, -4.695053735e+01, +3.278748205e+00, -5.555539994e+01, +1.198062208e+02 + 2.400000000e+01, -9.623725487e+00, +1.733988212e+02, -5.060223646e-01, +7.970722637e+01, -4.687280640e+01, -1.852289148e+01, -5.617934148e+01, +7.530405285e+01 + 2.600000000e+01, -1.138831035e+01, +1.519471609e+02, -3.320783009e-01, +5.707462951e+01, -4.806908490e+01, -4.258234843e+01, -5.845419319e+01, +2.907105436e+01 + 2.800000000e+01, -1.602315407e+01, +1.319934938e+02, -1.146808923e-01, +3.326978485e+01, -5.149092796e+01, -7.188756363e+01, -6.445564546e+01, -2.373210960e+01 + 3.000000000e+01, -3.207088251e+01, +1.732698119e+02, -9.152819929e-03, +8.393062478e+00, -5.967060363e+01, -1.253789862e+02, -7.183701313e+01, +1.637717084e+02 diff --git a/test/examples/ref/cpw/lumped_uniform/port-V.csv b/test/examples/ref/cpw/lumped_uniform/port-V.csv index f5322ffb0..675cb66e9 100644 --- a/test/examples/ref/cpw/lumped_uniform/port-V.csv +++ b/test/examples/ref/cpw/lumped_uniform/port-V.csv @@ -1,16 +1,16 @@ f (GHz), V_inc[1] (V), Re{V[1]} (V), Im{V[1]} (V), Re{V[2]} (V), Im{V[2]} (V), Re{V[3]} (V), Im{V[3]} (V), Re{V[4]} (V), Im{V[4]} (V) - 2.000000000e+00, +7.484650960e+00, +7.029083512e+00, -9.799784593e-01, +6.724295919e+00, -3.101042646e+00, +7.805124253e-03, +1.546256436e-02, +4.149169749e-03, +3.640133656e-03 - 4.000000000e+00, +7.484650960e+00, +6.029739819e+00, -1.269317090e+00, +4.780584442e+00, -5.422310948e+00, +2.393503473e-02, +1.877659150e-02, +9.822174471e-03, -9.867033556e-04 - 6.000000000e+00, +7.484650960e+00, +5.177798619e+00, -7.603009188e-01, +2.267333412e+00, -6.703548626e+00, +3.620396621e-02, +9.938872474e-03, +7.597109402e-03, -9.756188917e-03 - 8.000000000e+00, +7.484650960e+00, +4.947246818e+00, +1.801532662e-01, -4.154002182e-01, -7.023685647e+00, +3.940209032e-02, -3.956194060e-03, -1.787415902e-03, -1.278975832e-02 - 1.000000000e+01, +7.484650960e+00, +5.454823276e+00, +1.022602837e+00, -3.083210265e+00, -6.426553543e+00, +3.290809028e-02, -1.721814849e-02, -9.505666629e-03, -6.563752562e-03 - 1.200000000e+01, +7.484650960e+00, +6.461455323e+00, +1.260725822e+00, -5.493599353e+00, -4.812211908e+00, +1.749762471e-02, -2.307840622e-02, -7.693111534e-03, +2.523471989e-03 - 1.400000000e+01, +7.484650960e+00, +7.371669653e+00, +6.487912001e-01, -7.130850493e+00, -2.169134495e+00, +1.721802942e-03, -1.416334512e-02, +3.657780642e-04, +2.938453131e-03 - 1.600000000e+01, +7.484650960e+00, +7.518735883e+00, -4.735980522e-01, -7.395761595e+00, +1.038362047e+00, +1.193034425e-05, +3.673797479e-03, +4.416599759e-04, -4.518631370e-03 - 1.800000000e+01, +7.484650960e+00, +6.786469615e+00, -1.309269679e+00, -6.186670517e+00, +3.937909037e+00, +1.192197649e-02, +1.436241076e-02, -7.565028582e-03, -4.861618864e-03 - 2.000000000e+01, +7.484650960e+00, +5.738974662e+00, -1.337574585e+00, -4.014858661e+00, +5.917420568e+00, +2.596111977e-02, +1.245652471e-02, -1.121644732e-02, +3.108495931e-03 - 2.200000000e+01, +7.484650960e+00, +5.033349579e+00, -6.543915853e-01, -1.438588217e+00, +6.889269514e+00, +3.360104225e-02, +2.030576390e-03, -6.179379142e-03, +1.091249687e-02 - 2.400000000e+01, +7.484650960e+00, +5.020700179e+00, +2.907872307e-01, +1.257137926e+00, +6.944912716e+00, +3.227990680e-02, -1.064049290e-02, +3.022474131e-03, +1.131292971e-02 - 2.600000000e+01, +7.484650960e+00, +5.699354893e+00, +9.574203677e-01, +3.909811527e+00, +6.047744745e+00, +2.197210171e-02, -1.993450705e-02, +7.934015528e-03, +4.374503119e-03 - 2.800000000e+01, +7.484650960e+00, +6.693541000e+00, +8.875094119e-01, +6.171879261e+00, +4.056535900e+00, +6.384694759e-03, -1.899347772e-02, +4.220994663e-03, -1.832369339e-03 - 3.000000000e+01, +7.484650960e+00, +7.304521398e+00, +2.525274386e-02, +7.396339916e+00, +1.096340984e+00, -4.333558364e-03, -6.365142808e-03, -1.714017261e-03, +4.774847323e-04 + 2.000000000e+00, +7.484650960e+00, +7.031744225e+00, -9.743442501e-01, +6.725807777e+00, -3.099917936e+00, +7.804699197e-03, +1.548882346e-02, +4.127409406e-03, +3.627295502e-03 + 4.000000000e+00, +7.484650960e+00, +6.037662019e+00, -1.262081056e+00, +4.783900139e+00, -5.423175544e+00, +2.398162182e-02, +1.883398278e-02, +9.784960229e-03, -9.718908074e-04 + 6.000000000e+00, +7.484650960e+00, +5.189885751e+00, -7.549023658e-01, +2.269379020e+00, -6.707590312e+00, +3.632485038e-02, +9.958570325e-03, +7.576282707e-03, -9.716154934e-03 + 8.000000000e+00, +7.484650960e+00, +4.961485157e+00, +1.822514880e-01, -4.171659355e-01, -7.028627083e+00, +3.953631871e-02, -4.036807767e-03, -1.784144545e-03, -1.273906982e-02 + 1.000000000e+01, +7.484650960e+00, +5.469163991e+00, +1.020838149e+00, -3.088285030e+00, -6.428875811e+00, +3.296636004e-02, -1.737352524e-02, -9.469820520e-03, -6.512366418e-03 + 1.200000000e+01, +7.484650960e+00, +6.473362766e+00, +1.255707602e+00, -5.498611045e+00, -4.810263102e+00, +1.746129506e-02, -2.321541250e-02, -7.620814518e-03, +2.548113111e-03 + 1.400000000e+01, +7.484650960e+00, +7.379567979e+00, +6.434357799e-01, -7.132645807e+00, -2.165095303e+00, +1.667429354e-03, -1.423691552e-02, +4.464414118e-04, +2.908136679e-03 + 1.600000000e+01, +7.484650960e+00, +7.524625374e+00, -4.761728594e-01, -7.395158796e+00, +1.041085957e+00, -2.183640508e-05, +3.610026246e-03, +4.768125455e-04, -4.590237134e-03 + 1.800000000e+01, +7.484650960e+00, +6.793855520e+00, -1.309684453e+00, -6.186435235e+00, +3.939419101e+00, +1.188177476e-02, +1.430093592e-02, -7.559837106e-03, -4.916519603e-03 + 2.000000000e+01, +7.484650960e+00, +5.748575109e+00, -1.338775595e+00, -4.014969796e+00, +5.919895829e+00, +2.593552800e-02, +1.239378711e-02, -1.121442393e-02, +3.045892209e-03 + 2.200000000e+01, +7.484650960e+00, +5.043522514e+00, -6.581741091e-01, -1.436912432e+00, +6.892867393e+00, +3.356859815e-02, +1.923061007e-03, -6.206082046e-03, +1.083370245e-02 + 2.400000000e+01, +7.484650960e+00, +5.029396588e+00, +2.841338141e-01, +1.261658488e+00, +6.947438980e+00, +3.216841925e-02, -1.077769560e-02, +2.947861067e-03, +1.123981713e-02 + 2.600000000e+01, +7.484650960e+00, +5.704414187e+00, +9.486756327e-01, +3.915651974e+00, +6.046803756e+00, +2.176583841e-02, -2.000234233e-02, +7.815957220e-03, +4.345135580e-03 + 2.800000000e+01, +7.484650960e+00, +6.693116246e+00, +8.792891349e-01, +6.175811838e+00, +4.052089616e+00, +6.197574575e-03, -1.894757529e-02, +4.102209454e-03, -1.803486676e-03 + 3.000000000e+01, +7.484650960e+00, +7.299458048e+00, +2.185409459e-02, +7.396692026e+00, +1.091333326e+00, -4.500974633e-03, -6.338408500e-03, -1.839342513e-03, +5.353634328e-04 diff --git a/test/examples/ref/cpw/lumped_uniform/probe-B.csv b/test/examples/ref/cpw/lumped_uniform/probe-B.csv index e337d7901..27cfb82bf 100644 --- a/test/examples/ref/cpw/lumped_uniform/probe-B.csv +++ b/test/examples/ref/cpw/lumped_uniform/probe-B.csv @@ -1,16 +1,16 @@ f (GHz), Re{B_x[1]} (Wb/m²), Im{B_x[1]} (Wb/m²), Re{B_y[1]} (Wb/m²), Im{B_y[1]} (Wb/m²), Re{B_z[1]} (Wb/m²), Im{B_z[1]} (Wb/m²), Re{B_x[2]} (Wb/m²), Im{B_x[2]} (Wb/m²), Re{B_y[2]} (Wb/m²), Im{B_y[2]} (Wb/m²), Re{B_z[2]} (Wb/m²), Im{B_z[2]} (Wb/m²) - 2.000000000e+00, +4.132830678e-05, -5.227629378e-06, +5.752859630e-04, -8.041853037e-05, +7.406355780e-05, -9.723665476e-06, -8.832948117e-05, +1.242864032e-05, -4.771197136e-04, +6.737673416e-05, +5.120830425e-05, -6.548967436e-06 - 4.000000000e+00, +4.182474679e-05, -1.124881523e-05, +5.765963565e-04, -1.690711790e-04, +7.465553255e-05, -2.060412249e-05, -8.845965772e-05, +2.605701178e-05, -4.777735102e-04, +1.413978110e-04, +5.173302184e-05, -1.391650064e-05 - 6.000000000e+00, +4.193049034e-05, -1.861496052e-05, +5.717835805e-04, -2.734834301e-04, +7.470961037e-05, -3.364645588e-05, -8.768661605e-05, +4.207029317e-05, -4.732526380e-04, +2.282668390e-04, +5.196746890e-05, -2.280512875e-05 - 8.000000000e+00, +4.071803648e-05, -2.765136871e-05, +5.488435954e-04, -3.992237901e-04, +7.275330443e-05, -4.963249957e-05, -8.415256126e-05, +6.136869988e-05, -4.537002420e-04, +3.326693266e-04, +5.093307388e-05, -3.378404949e-05 - 1.000000000e+01, +3.677429311e-05, -3.823553284e-05, +4.881156044e-04, -5.453046363e-04, +6.639073951e-05, -6.871508334e-05, -7.482099483e-05, +8.380627259e-05, -4.028048162e-04, +4.538697203e-04, +4.702443376e-05, -4.707007196e-05 - 1.200000000e+01, +2.837574771e-05, -4.908843773e-05, +3.652823040e-04, -6.941071587e-04, +5.232328322e-05, -8.940692461e-05, -5.594148954e-05, +1.066774894e-04, -3.003379778e-04, +5.772680590e-04, +3.789661993e-05, -6.192772111e-05 - 1.400000000e+01, +1.471595735e-05, -5.716948578e-05, +1.689920573e-04, -8.030942262e-04, +2.724973238e-05, -1.069517611e-04, -2.575546671e-05, +1.234285366e-04, -1.368770192e-04, +6.675425185e-04, +2.058160901e-05, -7.533865592e-05 - 1.600000000e+01, -2.029308409e-06, -5.879257058e-05, -7.086009922e-05, -8.207568252e-04, -6.868411227e-06, -1.114054510e-04, +1.107775327e-05, +1.261560095e-04, +6.288169065e-05, +6.819901559e-04, -4.288852621e-06, -7.918653574e-05 - 1.800000000e+01, -1.691196530e-05, -5.335549731e-05, -2.847899565e-04, -7.373602398e-04, -3.733429511e-05, -9.956780636e-05, +4.405870276e-05, +1.134770767e-04, +2.412304714e-04, +6.122296916e-04, -2.649231703e-05, -7.049213851e-05 - 2.000000000e+01, -2.673825629e-05, -4.421767568e-05, -4.280753585e-04, -6.000663578e-04, -5.631661871e-05, -7.982666107e-05, +6.632042681e-05, +9.234357562e-05, +3.609576813e-04, +4.975209325e-04, -3.983855300e-05, -5.598480996e-05 - 2.200000000e+01, -3.183223097e-05, -3.500671935e-05, -5.050906714e-04, -4.574880295e-04, -6.544513951e-05, -6.052253480e-05, +7.837172724e-05, +7.025185932e-05, +4.256919300e-04, +3.780044191e-04, -4.588512853e-05, -4.217937191e-05 - 2.400000000e+01, -3.408699432e-05, -2.752519585e-05, -5.398354285e-04, -3.327672290e-04, -6.907911590e-05, -4.457611210e-05, +8.388710376e-05, +5.076210038e-05, +4.550962360e-04, +2.727789318e-04, -4.809768283e-05, -3.104877926e-05 - 2.600000000e+01, -3.541249727e-05, -2.211980918e-05, -5.540921373e-04, -2.294198635e-04, -7.048314731e-05, -3.205222060e-05, +8.612996374e-05, +3.432589495e-05, +4.669158689e-04, +1.847979704e-04, -4.886942847e-05, -2.248883150e-05 - 2.800000000e+01, -3.747943394e-05, -1.823577042e-05, -5.617802761e-04, -1.420130535e-04, -7.170209518e-05, -2.192523133e-05, +8.688363501e-05, +2.005003256e-05, +4.723143044e-04, +1.098492952e-04, -4.966054196e-05, -1.569180560e-05 - 3.000000000e+01, -4.158755471e-05, -1.395953052e-05, -5.697904789e-04, -6.212790629e-05, -7.376943239e-05, -1.264485643e-05, +8.651181661e-05, +7.391449915e-06, +4.768778936e-04, +4.163793335e-05, -5.120393518e-05, -9.493554605e-06 + 2.000000000e+00, +4.253322257e-05, -5.401012661e-06, +5.798296614e-04, -8.117120028e-05, +7.037482221e-05, -9.208195993e-06, -8.681809996e-05, +1.221752048e-05, -4.772098380e-04, +6.749099411e-05, +5.203514086e-05, -6.669764779e-06 + 4.000000000e+00, +4.302962994e-05, -1.161150482e-05, +5.810618976e-04, -1.706492300e-04, +7.095591495e-05, -1.951950394e-05, -8.694625437e-05, +2.562164441e-05, -4.777836790e-04, +1.416257338e-04, +5.255956351e-05, -1.416727944e-05 + 6.000000000e+00, +4.311721809e-05, -1.920248822e-05, +5.760241959e-04, -2.759831316e-04, +7.103354627e-05, -3.188655590e-05, -8.617261916e-05, +4.137326947e-05, -4.731086981e-04, +2.285803022e-04, +5.277633924e-05, -2.320830919e-05 + 8.000000000e+00, +4.183785235e-05, -2.850163726e-05, +5.526043967e-04, -4.027002961e-04, +6.920975186e-05, -4.705286901e-05, -8.266848243e-05, +6.034020534e-05, -4.533109728e-04, +3.329853213e-04, +5.169079322e-05, -3.435713551e-05 + 1.000000000e+01, +3.774230839e-05, -3.937313368e-05, +4.910541466e-04, -5.496806830e-04, +6.322858584e-05, -6.515782870e-05, -7.345991916e-05, +8.236046540e-05, -4.021318628e-04, +4.539990105e-04, +4.768124252e-05, -4.781767093e-05 + 1.200000000e+01, +2.907428504e-05, -5.049078350e-05, +3.670929143e-04, -6.990926052e-04, +4.998794369e-05, -8.482856839e-05, -5.489514282e-05, +1.047661528e-04, -2.995255100e-04, +5.769638795e-04, +3.840259169e-05, -6.282639656e-05 + 1.400000000e+01, +1.503830316e-05, -5.873750180e-05, +1.695979794e-04, -8.082789062e-04, +2.630143185e-05, -1.016521528e-04, -2.528893964e-05, +1.211514384e-04, -1.363122417e-04, +6.667333546e-04, +2.091809516e-05, -7.636195732e-05 + 1.600000000e+01, -2.121355548e-06, -6.038227304e-05, -7.135700311e-05, -8.258771855e-04, -6.169883001e-06, -1.061330107e-04, +1.079806793e-05, +1.238250767e-04, +6.286683534e-05, +6.810138456e-04, -4.186914798e-06, -8.036599281e-05 + 1.800000000e+01, -1.738549534e-05, -5.482307945e-05, -2.863611815e-04, -7.422259845e-04, -3.533898258e-05, -9.496129563e-05, +4.313303661e-05, +1.114340121e-04, +2.407505385e-04, +6.115400044e-04, -2.677926021e-05, -7.168732740e-05 + 2.000000000e+01, -2.749615073e-05, -4.546590782e-05, -4.306460142e-04, -6.044081833e-04, -5.348153222e-05, -7.612291369e-05, +6.499526044e-05, +9.075034444e-05, +3.603722764e-04, +4.972542442e-04, -4.042999780e-05, -5.699399664e-05 + 2.200000000e+01, -3.276548890e-05, -3.600970192e-05, -5.084512388e-04, -4.610789837e-04, -6.216415905e-05, -5.772979818e-05, +7.686361270e-05, +6.910265285e-05, +4.252500608e-04, +3.780211935e-04, -4.664614598e-05, -4.295953258e-05 + 2.400000000e+01, -3.511813154e-05, -2.830616085e-05, -5.437280364e-04, -3.355090807e-04, -6.560792510e-05, -4.257501970e-05, +8.232073741e-05, +4.998219982e-05, +4.548572938e-04, +2.728920247e-04, -4.894380388e-05, -3.161654066e-05 + 2.600000000e+01, -3.650748435e-05, -2.271753525e-05, -5.583015724e-04, -2.313149905e-04, -6.694507600e-05, -3.070513250e-05, +8.455633057e-05, +3.383931153e-05, +4.668357234e-04, +1.848786342e-04, -4.975469142e-05, -2.287178346e-05 + 2.800000000e+01, -3.864560691e-05, -1.867602870e-05, -5.661569210e-04, -1.431010963e-04, -6.813687284e-05, -2.112988213e-05, +8.530707291e-05, +1.980526240e-05, +4.723169746e-04, +1.098342289e-04, -5.056126831e-05, -1.591256059e-05 + 3.000000000e+01, -4.285493776e-05, -1.421534595e-05, -5.742333363e-04, -6.244473324e-05, -7.017523258e-05, -1.234759123e-05, +8.491272630e-05, +7.386460978e-06, +4.768897017e-04, +4.150856864e-05, -5.210706333e-05, -9.565978183e-06 diff --git a/test/examples/ref/cpw/lumped_uniform/probe-E.csv b/test/examples/ref/cpw/lumped_uniform/probe-E.csv index 90161ae4c..956ad72e9 100644 --- a/test/examples/ref/cpw/lumped_uniform/probe-E.csv +++ b/test/examples/ref/cpw/lumped_uniform/probe-E.csv @@ -1,16 +1,16 @@ f (GHz), Re{E_x[1]} (V/m), Im{E_x[1]} (V/m), Re{E_y[1]} (V/m), Im{E_y[1]} (V/m), Re{E_z[1]} (V/m), Im{E_z[1]} (V/m), Re{E_x[2]} (V/m), Im{E_x[2]} (V/m), Re{E_y[2]} (V/m), Im{E_y[2]} (V/m), Re{E_z[2]} (V/m), Im{E_z[2]} (V/m) - 2.000000000e+00, +2.626385535e+03, -8.006876620e+02, +1.263523803e+04, -4.070780767e+03, -9.867738745e+04, +2.955869271e+04, +8.401588906e+03, -2.536638246e+03, +1.284611982e+04, -4.154261527e+03, +8.479336445e+04, -2.542154973e+04 - 4.000000000e+00, +2.188940671e+03, -1.400722095e+03, +1.019315251e+04, -6.766428375e+03, -8.242718129e+04, +5.134868927e+04, +7.005806821e+03, -4.418272176e+03, +1.035056434e+04, -6.900880710e+03, +7.084306609e+04, -4.421271161e+04 - 6.000000000e+00, +1.670342758e+03, -1.755491735e+03, +7.688438031e+03, -8.088013975e+03, -6.348533452e+04, +6.393440046e+04, +5.372614362e+03, -5.510501002e+03, +7.795400938e+03, -8.245119405e+03, +5.453540752e+04, -5.510941907e+04 - 8.000000000e+00, +1.181329936e+03, -1.928806216e+03, +5.556087057e+03, -8.620464525e+03, -4.602895363e+04, +6.982507376e+04, +3.856725845e+03, -6.029229764e+03, +5.619600086e+03, -8.787716371e+03, +3.946359392e+04, -6.024296392e+04 - 1.000000000e+01, +7.538155964e+02, -1.995863280e+03, +3.845021858e+03, -8.776391620e+03, -3.129803167e+04, +7.201197634e+04, +2.560262637e+03, -6.224450531e+03, +3.869226945e+03, -8.947078552e+03, +2.669617501e+04, -6.216915794e+04 - 1.200000000e+01, +3.809254885e+02, -2.005112528e+03, +2.468211189e+03, -8.817488987e+03, -1.897949470e+04, +7.260119938e+04, +1.457569272e+03, -6.265700051e+03, +2.454897180e+03, -8.985699030e+03, +1.597075566e+04, -6.267691808e+04 - 1.400000000e+01, +4.854791045e+01, -1.980339655e+03, +1.285008188e+03, -8.895980271e+03, -8.218062248e+03, +7.279189296e+04, +4.863477665e+02, -6.244860383e+03, +1.236241051e+03, -9.054317358e+03, +6.578083964e+03, -6.277481203e+04 - 1.600000000e+01, -2.536224606e+02, -1.936391426e+03, +1.281818622e+02, -9.072536247e+03, +1.989200905e+03, +7.312819447e+04, -4.187721130e+02, -6.208572641e+03, +5.012827460e+01, -9.213827052e+03, -2.297512296e+03, -6.293348716e+04 - 1.800000000e+01, -5.415498276e+02, -1.889068428e+03, -1.160974884e+03, -9.317024329e+03, +1.266145080e+04, +7.363835579e+04, -1.330643463e+03, -6.178366679e+03, -1.259873865e+03, -9.440449509e+03, -1.150261676e+04, -6.322166762e+04 - 2.000000000e+01, -8.461680406e+02, -1.843222155e+03, -2.707307722e+03, -9.542474941e+03, +2.477971876e+04, +7.388856875e+04, -2.340244799e+03, -6.137449824e+03, -2.823846805e+03, -9.652926333e+03, -2.189834208e+04, -6.331282616e+04 - 2.200000000e+01, -1.203940923e+03, -1.777276930e+03, -4.626755887e+03, -9.614051368e+03, +3.926369109e+04, +7.287578071e+04, -3.540922161e+03, -6.005977472e+03, -4.765833378e+03, -9.715836079e+03, -3.431405321e+04, -6.235718210e+04 - 2.400000000e+01, -1.638715820e+03, -1.637298509e+03, -7.029742033e+03, -9.288086332e+03, +5.670295227e+04, +6.869730584e+04, -4.993972156e+03, -5.617559857e+03, -7.203156514e+03, -9.379405258e+03, -4.928548252e+04, -5.870382958e+04 - 2.600000000e+01, -2.134983789e+03, -1.337310513e+03, -9.925312899e+03, -8.116244322e+03, +7.641685734e+04, +5.832426981e+04, -6.646963298e+03, -4.705473174e+03, -1.014948230e+04, -8.182850422e+03, -6.623724126e+04, -4.972221999e+04 - 2.800000000e+01, -2.594922952e+03, -7.883450553e+02, -1.293558096e+04, -5.388322347e+03, +9.478742752e+04, +3.856782152e+04, -8.191054628e+03, 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-8.917385479e+03, +5.678895752e+04, +6.870219262e+04, -4.767672871e+03, -5.395949272e+03, -7.240403727e+03, -9.396869584e+03, -4.950734495e+04, -5.882353679e+04 + 2.600000000e+01, -3.388482176e+03, -2.231420484e+03, -9.518692524e+03, -7.795944773e+03, +7.648822370e+04, +5.828739831e+04, -6.354041397e+03, -4.524155738e+03, -1.020048952e+04, -8.185799242e+03, -6.648164988e+04, -4.977796007e+04 + 2.800000000e+01, -4.127818615e+03, -1.360941561e+03, -1.243714011e+04, -5.154862137e+03, +9.481625047e+04, +3.850619977e+04, -7.836784905e+03, -2.876501259e+03, -1.328220626e+04, -5.363785268e+03, -8.228631383e+04, -3.263783053e+04 + 3.000000000e+01, -4.505557849e+03, -1.135513720e+02, -1.396302713e+04, -3.968876996e+02, +1.046770020e+05, +9.540122545e+03, -8.610924128e+03, -4.469719983e+02, -1.488717968e+04, -3.086494820e+02, -9.080538457e+04, -7.559947805e+03 diff --git a/test/examples/ref/cpw/lumped_uniform/surface-F.csv b/test/examples/ref/cpw/lumped_uniform/surface-F.csv index 46f56782b..c039c2e38 100644 --- a/test/examples/ref/cpw/lumped_uniform/surface-F.csv +++ b/test/examples/ref/cpw/lumped_uniform/surface-F.csv @@ -1,16 +1,16 @@ f (GHz), Re{Φ_elec[1]} (C), Im{Φ_elec[1]} (C), Φ_pow[2] (W) - 2.000000000e+00, +1.082235998e-12, -3.230411228e-13, +2.324878727e-06 - 4.000000000e+00, +8.874302480e-13, -5.485017528e-13, +8.513223065e-06 - 6.000000000e+00, +6.640782771e-13, -6.598663965e-13, +1.747016858e-05 - 8.000000000e+00, +4.635569830e-13, -6.868158438e-13, +2.939617899e-05 - 1.000000000e+01, +3.028886337e-13, -6.649655816e-13, +4.512621330e-05 - 1.200000000e+01, +1.808764554e-13, -6.201289532e-13, +6.475630575e-05 - 1.400000000e+01, +8.974481855e-14, -5.682245162e-13, +8.753064973e-05 - 1.600000000e+01, +1.853750452e-14, -5.176057412e-13, +1.214121105e-04 - 1.800000000e+01, -4.276690441e-14, -4.664585652e-13, +1.558058236e-04 - 2.000000000e+01, -9.535661561e-14, -4.098548617e-13, +1.611307219e-04 - 2.200000000e+01, -1.371087601e-13, -3.454000075e-13, +1.629222441e-04 - 2.400000000e+01, -1.631528910e-13, -2.720184499e-13, +1.799175526e-04 - 2.600000000e+01, -1.653054295e-13, -1.927373058e-13, +2.255577732e-04 - 2.800000000e+01, -1.354020260e-13, -1.194416806e-13, +3.095978691e-04 - 3.000000000e+01, -7.591939631e-14, -7.381900063e-14, +4.036010058e-04 + 2.000000000e+00, +1.120910998e-12, -3.337093099e-13, +2.320791750e-06 + 4.000000000e+00, +9.199674540e-13, -5.671939271e-13, +8.493519325e-06 + 6.000000000e+00, +6.890440000e-13, -6.829953174e-13, +1.742814485e-05 + 8.000000000e+00, +4.813287344e-13, -7.113713434e-13, +2.931386882e-05 + 1.000000000e+01, +3.146578671e-13, -6.890115751e-13, +4.495204765e-05 + 1.200000000e+01, +1.879572150e-13, -6.426417812e-13, +6.441526116e-05 + 1.400000000e+01, +9.325691514e-14, -5.887978454e-13, +8.719657120e-05 + 1.600000000e+01, +1.921010552e-14, -5.361773182e-13, +1.223468057e-04 + 1.800000000e+01, -4.455109473e-14, -4.828287457e-13, +1.580444923e-04 + 2.000000000e+01, -9.910804258e-14, -4.236529446e-13, +1.634660609e-04 + 2.200000000e+01, -1.421802118e-13, -3.562773007e-13, +1.653253269e-04 + 2.400000000e+01, -1.686862485e-13, -2.797100244e-13, +1.828897750e-04 + 2.600000000e+01, -1.701626640e-13, -1.972543043e-13, +2.300946602e-04 + 2.800000000e+01, -1.383013134e-13, -1.214130265e-13, +3.174366502e-04 + 3.000000000e+01, -7.602133196e-14, -7.470025403e-14, +4.164201605e-04 diff --git a/test/examples/ref/cpw/lumped_uniform/surface-Q.csv b/test/examples/ref/cpw/lumped_uniform/surface-Q.csv index ca4d5f89a..c57476465 100644 --- a/test/examples/ref/cpw/lumped_uniform/surface-Q.csv +++ b/test/examples/ref/cpw/lumped_uniform/surface-Q.csv @@ -1,16 +1,16 @@ f (GHz), p_surf[1], Q_surf[1], p_surf[2], Q_surf[2], p_surf[3], Q_surf[3] - 2.000000000e+00, +9.430586289e-05, +1.060379460e+04, +3.333519542e-05, +2.999832421e+04, +2.770093900e-07, +3.609985929e+06 - 4.000000000e+00, +9.433705456e-05, +1.060028856e+04, +3.333467339e-05, +2.999879399e+04, +2.776481220e-07, +3.601681123e+06 - 6.000000000e+00, +9.429339365e-05, +1.060519684e+04, +3.324935623e-05, +3.007577028e+04, +2.783788956e-07, +3.592226336e+06 - 8.000000000e+00, +9.416024809e-05, +1.062019292e+04, +3.306441449e-05, +3.024399541e+04, +2.791930261e-07, +3.581751357e+06 - 1.000000000e+01, +9.397198497e-05, +1.064146937e+04, +3.283205457e-05, +3.045803905e+04, +2.799843253e-07, +3.571628515e+06 - 1.200000000e+01, +9.382129690e-05, +1.065856083e+04, +3.267573167e-05, +3.060375235e+04, +2.806104841e-07, +3.563658724e+06 - 1.400000000e+01, +9.378327570e-05, +1.066288198e+04, +3.269259305e-05, +3.058796831e+04, +2.809704543e-07, +3.559093081e+06 - 1.600000000e+01, +9.389037341e-05, +1.065071917e+04, +3.289957436e-05, +3.039553002e+04, +2.811680669e-07, +3.556591653e+06 - 1.800000000e+01, +9.413465498e-05, +1.062308031e+04, +3.325628288e-05, +3.006950607e+04, +2.812960740e-07, +3.554973185e+06 - 2.000000000e+01, +9.437364822e-05, +1.059617826e+04, +3.362860962e-05, +2.973658475e+04, +2.806963887e-07, +3.562568099e+06 - 2.200000000e+01, +9.449586496e-05, +1.058247364e+04, +3.388666984e-05, +2.951012905e+04, +2.790235061e-07, +3.583927440e+06 - 2.400000000e+01, +9.443379974e-05, +1.058942881e+04, +3.391500525e-05, +2.948547384e+04, +2.764024126e-07, +3.617913428e+06 - 2.600000000e+01, +9.418730374e-05, +1.061714223e+04, +3.366688700e-05, +2.970277591e+04, +2.735398124e-07, +3.655774972e+06 - 2.800000000e+01, +9.385177900e-05, +1.065509904e+04, +3.323563013e-05, +3.008819138e+04, +2.715367547e-07, +3.682742696e+06 - 3.000000000e+01, +9.358466495e-05, +1.068551136e+04, +3.285006265e-05, +3.044134225e+04, +2.712753646e-07, +3.686291240e+06 + 2.000000000e+00, +9.449418960e-05, +1.058266126e+04, +3.223131699e-05, +3.102572571e+04, +2.692707215e-07, +3.713734618e+06 + 4.000000000e+00, +9.452391946e-05, +1.057933278e+04, +3.223386835e-05, +3.102326997e+04, +2.699264203e-07, +3.704713303e+06 + 6.000000000e+00, +9.447740191e-05, +1.058454170e+04, +3.215572074e-05, +3.109866540e+04, +2.706751472e-07, +3.694465526e+06 + 8.000000000e+00, +9.434059588e-05, +1.059989065e+04, +3.198245089e-05, +3.126714721e+04, +2.714836690e-07, +3.683462816e+06 + 1.000000000e+01, +9.414940780e-05, +1.062141572e+04, +3.176279133e-05, +3.148337908e+04, +2.722225768e-07, +3.673464603e+06 + 1.200000000e+01, +9.399806384e-05, +1.063851700e+04, +3.161325934e-05, +3.163229673e+04, +2.727548675e-07, +3.666295708e+06 + 1.400000000e+01, +9.396193164e-05, +1.064260794e+04, +3.162621824e-05, +3.161933534e+04, +2.730155053e-07, +3.662795631e+06 + 1.600000000e+01, +9.407282661e-05, +1.063006222e+04, +3.181964777e-05, +3.142712349e+04, +2.731433751e-07, +3.661080923e+06 + 1.800000000e+01, +9.432215237e-05, +1.060196332e+04, +3.215768790e-05, +3.109676302e+04, +2.732510106e-07, +3.659638798e+06 + 2.000000000e+01, +9.456617119e-05, +1.057460599e+04, +3.251130365e-05, +3.075853281e+04, +2.726888271e-07, +3.667183620e+06 + 2.200000000e+01, +9.469216825e-05, +1.056053545e+04, +3.275678297e-05, +3.052802837e+04, +2.711142526e-07, +3.688481850e+06 + 2.400000000e+01, +9.463148188e-05, +1.056730784e+04, +3.278496134e-05, +3.050178982e+04, +2.686331270e-07, +3.722549080e+06 + 2.600000000e+01, +9.438318125e-05, +1.059510801e+04, +3.255190426e-05, +3.072016899e+04, +2.659055388e-07, +3.760733998e+06 + 2.800000000e+01, +9.404305219e-05, +1.063342774e+04, +3.214647054e-05, +3.110761409e+04, +2.639806268e-07, +3.788156775e+06 + 3.000000000e+01, +9.377085274e-05, +1.066429462e+04, +3.178674404e-05, +3.145965496e+04, +2.637218837e-07, +3.791873416e+06 diff --git a/test/examples/ref/cpw/wave_adaptive/domain-E.csv b/test/examples/ref/cpw/wave_adaptive/domain-E.csv index b200da2d2..0df95dfa3 100644 --- a/test/examples/ref/cpw/wave_adaptive/domain-E.csv +++ b/test/examples/ref/cpw/wave_adaptive/domain-E.csv @@ -1,282 +1,282 @@ f (GHz), E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] - 2.000000000e+00, +1.913387435e-02, +1.376342830e-02, +0.000000000e+00, +0.000000000e+00, +1.740245208e-02, +9.095101055e-01, +6.884852488e-03, +5.002280202e-01 - 2.100000000e+00, +1.909212580e-02, +1.378757136e-02, +0.000000000e+00, +0.000000000e+00, +1.736446919e-02, +9.095094684e-01, +6.896956944e-03, +5.002300089e-01 - 2.200000000e+00, +1.904874566e-02, +1.381272250e-02, +0.000000000e+00, +0.000000000e+00, +1.732500193e-02, +9.095088065e-01, +6.909566788e-03, +5.002320713e-01 - 2.300000000e+00, +1.900378768e-02, +1.383885898e-02, +0.000000000e+00, +0.000000000e+00, +1.728409922e-02, +9.095081207e-01, +6.922670614e-03, +5.002342046e-01 - 2.400000000e+00, +1.895730723e-02, +1.386595730e-02, +0.000000000e+00, +0.000000000e+00, +1.724181144e-02, +9.095074121e-01, +6.936256644e-03, +5.002364060e-01 - 2.500000000e+00, +1.890936123e-02, +1.389399328e-02, +0.000000000e+00, +0.000000000e+00, +1.719819038e-02, +9.095066816e-01, +6.950312750e-03, +5.002386724e-01 - 2.600000000e+00, +1.886000802e-02, +1.392294207e-02, +0.000000000e+00, +0.000000000e+00, +1.715328914e-02, +9.095059303e-01, +6.964826473e-03, +5.002410008e-01 - 2.700000000e+00, +1.880930728e-02, +1.395277821e-02, +0.000000000e+00, +0.000000000e+00, +1.710716201e-02, +9.095051594e-01, +6.979785042e-03, +5.002433880e-01 - 2.800000000e+00, +1.875731990e-02, +1.398347565e-02, +0.000000000e+00, +0.000000000e+00, +1.705986441e-02, +9.095043699e-01, +6.995175393e-03, +5.002458309e-01 - 2.900000000e+00, +1.870410790e-02, +1.401500780e-02, +0.000000000e+00, +0.000000000e+00, +1.701145278e-02, +9.095035632e-01, +7.010984191e-03, +5.002483262e-01 - 3.000000000e+00, +1.864973430e-02, +1.404734756e-02, +0.000000000e+00, +0.000000000e+00, +1.696198446e-02, +9.095027405e-01, +7.027197846e-03, +5.002508706e-01 - 3.100000000e+00, +1.859426305e-02, +1.408046737e-02, +0.000000000e+00, +0.000000000e+00, +1.691151763e-02, +9.095019030e-01, +7.043802535e-03, +5.002534610e-01 - 3.200000000e+00, +1.853775887e-02, +1.411433925e-02, +0.000000000e+00, +0.000000000e+00, +1.686011120e-02, +9.095010523e-01, +7.060784220e-03, +5.002560938e-01 - 3.300000000e+00, +1.848028721e-02, +1.414893481e-02, +0.000000000e+00, +0.000000000e+00, +1.680782472e-02, +9.095001896e-01, +7.078128668e-03, +5.002587659e-01 - 3.400000000e+00, +1.842191410e-02, +1.418422533e-02, +0.000000000e+00, +0.000000000e+00, +1.675471828e-02, +9.094993164e-01, +7.095821467e-03, +5.002614739e-01 - 3.500000000e+00, +1.836270605e-02, +1.422018175e-02, +0.000000000e+00, +0.000000000e+00, +1.670085240e-02, +9.094984343e-01, +7.113848051e-03, +5.002642144e-01 - 3.600000000e+00, +1.830272998e-02, +1.425677476e-02, +0.000000000e+00, +0.000000000e+00, +1.664628798e-02, +9.094975448e-01, +7.132193711e-03, +5.002669840e-01 - 3.700000000e+00, +1.824205310e-02, +1.429397479e-02, +0.000000000e+00, +0.000000000e+00, +1.659108617e-02, +9.094966495e-01, +7.150843618e-03, +5.002697796e-01 - 3.800000000e+00, +1.818074281e-02, +1.433175207e-02, +0.000000000e+00, +0.000000000e+00, +1.653530831e-02, +9.094957500e-01, +7.169782839e-03, +5.002725976e-01 - 3.900000000e+00, +1.811886660e-02, +1.437007667e-02, +0.000000000e+00, +0.000000000e+00, +1.647901583e-02, +9.094948482e-01, +7.188996353e-03, +5.002754349e-01 - 4.000000000e+00, +1.805649199e-02, +1.440891848e-02, +0.000000000e+00, +0.000000000e+00, +1.642227015e-02, +9.094939457e-01, +7.208469070e-03, +5.002782880e-01 - 4.100000000e+00, +1.799368639e-02, +1.444824734e-02, +0.000000000e+00, +0.000000000e+00, +1.636513261e-02, +9.094930444e-01, +7.228185848e-03, +5.002811538e-01 - 4.200000000e+00, +1.793051704e-02, +1.448803296e-02, +0.000000000e+00, +0.000000000e+00, +1.630766442e-02, +9.094921461e-01, +7.248131502e-03, +5.002840289e-01 - 4.300000000e+00, +1.786705092e-02, +1.452824506e-02, +0.000000000e+00, +0.000000000e+00, +1.624992652e-02, +9.094912527e-01, +7.268290831e-03, +5.002869102e-01 - 4.400000000e+00, +1.780335467e-02, +1.456885330e-02, +0.000000000e+00, +0.000000000e+00, +1.619197956e-02, +9.094903662e-01, +7.288648623e-03, +5.002897945e-01 - 4.500000000e+00, +1.773949448e-02, +1.460982738e-02, +0.000000000e+00, +0.000000000e+00, +1.613388376e-02, +9.094894885e-01, +7.309189671e-03, +5.002926785e-01 - 4.600000000e+00, +1.767553607e-02, +1.465113703e-02, +0.000000000e+00, +0.000000000e+00, +1.607569894e-02, +9.094886217e-01, +7.329898792e-03, +5.002955591e-01 - 4.700000000e+00, +1.761154454e-02, +1.469275205e-02, +0.000000000e+00, +0.000000000e+00, +1.601748433e-02, +9.094877679e-01, +7.350760834e-03, +5.002984333e-01 - 4.800000000e+00, +1.754758435e-02, +1.473464235e-02, +0.000000000e+00, +0.000000000e+00, +1.595929861e-02, +9.094869291e-01, +7.371760692e-03, +5.003012980e-01 - 4.900000000e+00, +1.748371924e-02, +1.477677792e-02, +0.000000000e+00, +0.000000000e+00, +1.590119976e-02, +9.094861076e-01, +7.392883319e-03, +5.003041501e-01 - 5.000000000e+00, +1.742001214e-02, +1.481912892e-02, +0.000000000e+00, +0.000000000e+00, +1.584324506e-02, +9.094853055e-01, +7.414113738e-03, +5.003069868e-01 - 5.100000000e+00, +1.735652514e-02, +1.486166567e-02, +0.000000000e+00, +0.000000000e+00, +1.578549102e-02, +9.094845251e-01, +7.435437052e-03, +5.003098050e-01 - 5.200000000e+00, +1.729331939e-02, +1.490435865e-02, +0.000000000e+00, +0.000000000e+00, +1.572799329e-02, +9.094837686e-01, +7.456838456e-03, +5.003126018e-01 - 5.300000000e+00, +1.723045507e-02, +1.494717857e-02, +0.000000000e+00, +0.000000000e+00, +1.567080663e-02, +9.094830384e-01, +7.478303242e-03, +5.003153744e-01 - 5.400000000e+00, +1.716799134e-02, +1.499009634e-02, +0.000000000e+00, +0.000000000e+00, +1.561398488e-02, +9.094823367e-01, +7.499816818e-03, +5.003181200e-01 - 5.500000000e+00, +1.710598624e-02, +1.503308310e-02, +0.000000000e+00, +0.000000000e+00, +1.555758086e-02, +9.094816659e-01, +7.521364704e-03, +5.003208358e-01 - 5.600000000e+00, +1.704449670e-02, +1.507611028e-02, +0.000000000e+00, +0.000000000e+00, +1.550164638e-02, +9.094810284e-01, +7.542932551e-03, +5.003235191e-01 - 5.700000000e+00, +1.698357844e-02, +1.511914955e-02, +0.000000000e+00, +0.000000000e+00, +1.544623216e-02, +9.094804266e-01, +7.564506144e-03, +5.003261671e-01 - 5.800000000e+00, +1.692328596e-02, +1.516217286e-02, +0.000000000e+00, +0.000000000e+00, +1.539138779e-02, +9.094798628e-01, +7.586071408e-03, +5.003287773e-01 - 5.900000000e+00, +1.686367249e-02, +1.520515247e-02, +0.000000000e+00, +0.000000000e+00, +1.533716172e-02, +9.094793396e-01, +7.607614417e-03, +5.003313470e-01 - 6.000000000e+00, +1.680478995e-02, +1.524806095e-02, +0.000000000e+00, +0.000000000e+00, +1.528360119e-02, +9.094788593e-01, +7.629121400e-03, +5.003338736e-01 - 6.100000000e+00, +1.674668887e-02, +1.529087118e-02, +0.000000000e+00, +0.000000000e+00, +1.523075221e-02, +9.094784243e-01, +7.650578747e-03, +5.003363547e-01 - 6.200000000e+00, +1.668941844e-02, +1.533355638e-02, +0.000000000e+00, +0.000000000e+00, +1.517865953e-02, +9.094780372e-01, +7.671973013e-03, +5.003387877e-01 - 6.300000000e+00, +1.663302641e-02, +1.537609012e-02, +0.000000000e+00, +0.000000000e+00, +1.512736661e-02, +9.094777004e-01, +7.693290922e-03, +5.003411702e-01 - 6.400000000e+00, +1.657755907e-02, +1.541844629e-02, +0.000000000e+00, +0.000000000e+00, +1.507691559e-02, +9.094774163e-01, +7.714519378e-03, +5.003434998e-01 - 6.500000000e+00, +1.652306124e-02, +1.546059917e-02, +0.000000000e+00, +0.000000000e+00, +1.502734726e-02, +9.094771873e-01, +7.735645461e-03, +5.003457741e-01 - 6.600000000e+00, +1.646957623e-02, +1.550252340e-02, +0.000000000e+00, +0.000000000e+00, +1.497870104e-02, +9.094770158e-01, +7.756656436e-03, +5.003479907e-01 - 6.700000000e+00, +1.641714583e-02, +1.554419400e-02, +0.000000000e+00, +0.000000000e+00, +1.493101497e-02, +9.094769043e-01, +7.777539757e-03, +5.003501474e-01 - 6.800000000e+00, +1.636581027e-02, +1.558558634e-02, +0.000000000e+00, +0.000000000e+00, +1.488432566e-02, +9.094768551e-01, +7.798283067e-03, +5.003522419e-01 - 6.900000000e+00, +1.631560819e-02, +1.562667622e-02, +0.000000000e+00, +0.000000000e+00, +1.483866828e-02, +9.094768706e-01, +7.818874205e-03, +5.003542719e-01 - 7.000000000e+00, +1.626657667e-02, +1.566743982e-02, +0.000000000e+00, +0.000000000e+00, +1.479407658e-02, +9.094769530e-01, +7.839301205e-03, +5.003562353e-01 - 7.100000000e+00, +1.621875114e-02, +1.570785371e-02, +0.000000000e+00, +0.000000000e+00, +1.475058282e-02, +9.094771046e-01, +7.859552303e-03, +5.003581298e-01 - 7.200000000e+00, +1.617216542e-02, +1.574789486e-02, +0.000000000e+00, +0.000000000e+00, +1.470821779e-02, +9.094773277e-01, +7.879615938e-03, +5.003599533e-01 - 7.300000000e+00, +1.612685171e-02, +1.578754068e-02, +0.000000000e+00, +0.000000000e+00, +1.466701078e-02, +9.094776244e-01, +7.899480752e-03, +5.003617037e-01 - 7.400000000e+00, +1.608284052e-02, +1.582676896e-02, +0.000000000e+00, +0.000000000e+00, +1.462698958e-02, +9.094779969e-01, +7.919135596e-03, +5.003633789e-01 - 7.500000000e+00, +1.604016071e-02, +1.586555794e-02, +0.000000000e+00, +0.000000000e+00, +1.458818046e-02, +9.094784472e-01, +7.938569531e-03, +5.003649768e-01 - 7.600000000e+00, +1.599883946e-02, +1.590388626e-02, +0.000000000e+00, +0.000000000e+00, +1.455060815e-02, +9.094789772e-01, +7.957771829e-03, +5.003664953e-01 - 7.700000000e+00, +1.595890226e-02, +1.594173299e-02, +0.000000000e+00, +0.000000000e+00, +1.451429587e-02, +9.094795891e-01, +7.976731978e-03, +5.003679325e-01 - 7.800000000e+00, +1.592037292e-02, +1.597907765e-02, +0.000000000e+00, +0.000000000e+00, +1.447926529e-02, +9.094802845e-01, +7.995439681e-03, +5.003692863e-01 - 7.900000000e+00, +1.588327351e-02, +1.601590018e-02, +0.000000000e+00, +0.000000000e+00, +1.444553651e-02, +9.094810652e-01, +8.013884859e-03, +5.003705547e-01 - 8.000000000e+00, +1.584762444e-02, +1.605218096e-02, +0.000000000e+00, +0.000000000e+00, +1.441312811e-02, +9.094819330e-01, +8.032057655e-03, +5.003717359e-01 - 8.100000000e+00, +1.581344438e-02, +1.608790083e-02, +0.000000000e+00, +0.000000000e+00, +1.438205708e-02, +9.094828895e-01, +8.049948434e-03, +5.003728279e-01 - 8.200000000e+00, +1.578075027e-02, +1.612304106e-02, +0.000000000e+00, +0.000000000e+00, +1.435233887e-02, +9.094839360e-01, +8.067547787e-03, +5.003738287e-01 - 8.300000000e+00, +1.574955735e-02, +1.615758339e-02, +0.000000000e+00, +0.000000000e+00, +1.432398733e-02, +9.094850741e-01, +8.084846531e-03, +5.003747364e-01 - 8.400000000e+00, +1.571987913e-02, +1.619151001e-02, +0.000000000e+00, +0.000000000e+00, +1.429701479e-02, +9.094863050e-01, +8.101835715e-03, +5.003755492e-01 - 8.500000000e+00, +1.569172740e-02, +1.622480358e-02, +0.000000000e+00, +0.000000000e+00, +1.427143197e-02, +9.094876299e-01, +8.118506619e-03, +5.003762653e-01 - 8.600000000e+00, +1.566511222e-02, +1.625744721e-02, +0.000000000e+00, +0.000000000e+00, +1.424724803e-02, +9.094890498e-01, +8.134850758e-03, +5.003768828e-01 - 8.700000000e+00, +1.564004191e-02, +1.628942452e-02, +0.000000000e+00, 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b/test/examples/ref/cpw/wave_adaptive/error-indicators.csv index e62a50c63..b99c8758c 100644 --- a/test/examples/ref/cpw/wave_adaptive/error-indicators.csv +++ b/test/examples/ref/cpw/wave_adaptive/error-indicators.csv @@ -1,2 +1,2 @@ Norm, Minimum, Maximum, Mean - +6.809037955e-01, +2.417828692e-06, +2.872877770e-02, +2.631715218e-03 + +5.365273676e-01, +2.154304083e-06, +2.928322880e-02, +1.879165639e-03 diff --git a/test/examples/ref/cpw/wave_adaptive/port-S.csv b/test/examples/ref/cpw/wave_adaptive/port-S.csv index decbbf3f7..825f92a75 100644 --- a/test/examples/ref/cpw/wave_adaptive/port-S.csv +++ b/test/examples/ref/cpw/wave_adaptive/port-S.csv @@ -1,282 +1,282 @@ f (GHz), |S[1][1]| (dB), arg(S[1][1]) (deg.), |S[2][1]| (dB), arg(S[2][1]) (deg.), |S[3][1]| (dB), arg(S[3][1]) (deg.), |S[4][1]| (dB), arg(S[4][1]) (deg.) - 2.000000000e+00, -2.275650379e+01, -1.120392918e+02, -5.698446811e-02, -2.386510373e+01, -4.755980429e+01, +1.189866135e+01, -4.867131330e+01, +1.573003280e+02 - 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b/test/examples/ref/cpw/wave_adaptive/probe-B.csv @@ -1,282 +1,282 @@ f (GHz), Re{B_x[1]} (Wb/m²), Im{B_x[1]} (Wb/m²), Re{B_y[1]} (Wb/m²), Im{B_y[1]} (Wb/m²), Re{B_z[1]} (Wb/m²), Im{B_z[1]} (Wb/m²), Re{B_x[2]} (Wb/m²), Im{B_x[2]} (Wb/m²), Re{B_y[2]} (Wb/m²), Im{B_y[2]} (Wb/m²), Re{B_z[2]} (Wb/m²), Im{B_z[2]} (Wb/m²) - 2.000000000e+00, +2.613735010e-05, -4.359952257e-06, +5.167784704e-04, -9.061161041e-05, -1.398591793e-05, +5.694688103e-07, +2.883883816e-05, -5.032974742e-06, -5.551145405e-04, +9.604317239e-05, +6.781810621e-05, -1.326117615e-05 - 2.100000000e+00, +2.611466004e-05, -4.580221419e-06, +5.162749307e-04, -9.518407356e-05, -1.403312762e-05, +6.097106850e-07, +2.881047838e-05, -5.286618933e-06, -5.546106932e-04, +1.008966014e-04, +6.770613369e-05, -1.392169845e-05 - 2.200000000e+00, +2.609076795e-05, -4.800813970e-06, +5.157448224e-04, -9.976253137e-05, -1.408239302e-05, +6.516560621e-07, +2.878064878e-05, -5.540553016e-06, -5.540799458e-04, +1.057573747e-04, 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-6.716734558e-06, +2.938209489e-05, +1.192807388e-06, -2.419599881e-05, +8.413370652e-07, +5.736072706e-04, +2.049771387e-05, -3.783917984e-05, +1.269917024e-06 diff --git a/test/examples/ref/cpw/wave_adaptive/probe-E.csv b/test/examples/ref/cpw/wave_adaptive/probe-E.csv index d8421ca8a..599ec29d8 100644 --- a/test/examples/ref/cpw/wave_adaptive/probe-E.csv +++ b/test/examples/ref/cpw/wave_adaptive/probe-E.csv @@ -1,282 +1,282 @@ f (GHz), Re{E_x[1]} (V/m), Im{E_x[1]} (V/m), Re{E_y[1]} (V/m), Im{E_y[1]} (V/m), Re{E_z[1]} (V/m), Im{E_z[1]} (V/m), Re{E_x[2]} (V/m), Im{E_x[2]} (V/m), Re{E_y[2]} (V/m), Im{E_y[2]} (V/m), Re{E_z[2]} (V/m), Im{E_z[2]} (V/m) - 2.000000000e+00, +3.652645056e+03, -8.978645252e+02, -1.636844726e+04, +4.319938593e+03, -7.871831380e+04, +1.972457054e+04, -3.201335684e+03, +7.309979401e+02, +1.139097575e+04, -2.723132245e+03, +7.669924040e+04, -1.920877138e+04 - 2.100000000e+00, +3.638310773e+03, -9.403563221e+02, -1.629474351e+04, +4.523024989e+03, -7.840353977e+04, +2.065908711e+04, -3.190360347e+03, +7.657720865e+02, +1.135146964e+04, -2.853558841e+03, +7.639172247e+04, -2.011836481e+04 - 2.200000000e+00, +3.623360035e+03, -9.825128069e+02, -1.621790146e+04, +4.724312014e+03, -7.807516934e+04, +2.158636918e+04, -3.178909906e+03, +8.002951833e+02, +1.131021372e+04, -2.983178666e+03, +7.607094259e+04, -2.102083727e+04 - 2.300000000e+00, +3.607803793e+03, -1.024321526e+03, -1.613798149e+04, +4.923733952e+03, -7.773343575e+04, +2.250614796e+04, -3.166992556e+03, +8.345581574e+02, +1.126723159e+04, -3.111960508e+03, +7.573713216e+04, -2.191592620e+04 - 2.400000000e+00, +3.591653338e+03, -1.065770488e+03, -1.605504578e+04, +5.121227647e+03, -7.737857923e+04, +2.341816410e+04, -3.154616680e+03, +8.685521695e+02, +1.122254764e+04, -3.239874057e+03, +7.539052920e+04, -2.280337807e+04 - 2.500000000e+00, +3.574920273e+03, -1.106848167e+03, -1.596915821e+04, +5.316732553e+03, -7.701084656e+04, +2.432216794e+04, -3.141790857e+03, +9.022686423e+02, 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-2.711787337e+04 - 3.000000000e+00, +3.482940907e+03, -1.306297165e+03, -1.549777873e+04, +6.262492630e+03, -7.498807819e+04, +2.871396116e+04, -3.071226438e+03, +1.066409493e+03, +1.092015211e+04, -3.987541583e+03, +7.305634372e+04, -2.795471662e+04 - 3.100000000e+00, +3.462970484e+03, -1.344931827e+03, -1.539559877e+04, +6.444943279e+03, -7.454857947e+04, +2.956520899e+04, -3.055891684e+03, +1.098298319e+03, +1.086429056e+04, -4.108607474e+03, +7.262733709e+04, -2.878242092e+04 - 3.200000000e+00, +3.442505525e+03, -1.383127975e+03, -1.529095017e+04, +6.625056832e+03, -7.409807666e+04, +3.040697962e+04, -3.040172060e+03, +1.129858623e+03, +1.080694353e+04, -4.228596841e+03, +7.218763448e+04, -2.960081243e+04 - 3.300000000e+00, +3.421559325e+03, -1.420877969e+03, -1.518390563e+04, +6.802794564e+03, -7.363685235e+04, +3.123910522e+04, -3.024077417e+03, +1.161084504e+03, +1.074814011e+04, -4.347488077e+03, +7.173751536e+04, -3.040972766e+04 - 3.400000000e+00, +3.400145297e+03, -1.458174662e+03, -1.507453840e+04, +6.978120525e+03, -7.316519155e+04, +3.206142841e+04, -3.007617701e+03, +1.191970418e+03, +1.068790968e+04, -4.465260570e+03, +7.127726157e+04, -3.120901348e+04 - 3.500000000e+00, +3.378276943e+03, -1.495011400e+03, -1.496292215e+04, +7.151001536e+03, -7.268338125e+04, +3.287380224e+04, -2.990802940e+03, +1.222511174e+03, +1.062628192e+04, -4.581894696e+03, +7.080715688e+04, -3.199852709e+04 - 3.600000000e+00, +3.355967842e+03, -1.531382019e+03, -1.484913088e+04, +7.321407170e+03, -7.219171000e+04, +3.367609012e+04, -2.973643223e+03, +1.252701934e+03, +1.056328673e+04, -4.697371820e+03, +7.032748655e+04, -3.277813599e+04 - 3.700000000e+00, +3.333231623e+03, -1.567280845e+03, -1.473323876e+04, +7.489309741e+03, -7.169046746e+04, +3.446816578e+04, -2.956148696e+03, +1.282538217e+03, +1.049895419e+04, -4.811674287e+03, +6.983853694e+04, -3.354771791e+04 - 3.800000000e+00, +3.310081950e+03, -1.602702686e+03, -1.461532007e+04, +7.654684276e+03, 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-1.065039882e+04 + 2.990000000e+01, -2.435186237e+03, -4.157879092e+02, +1.280392943e+04, +1.366289834e+03, +8.196140423e+04, +9.286158215e+03, +3.895720620e+03, +1.040670850e+03, -2.722550778e+03, +8.890062325e+02, -7.804019214e+04, -9.721724179e+03 + 3.000000000e+01, -2.441256901e+03, -3.871009950e+02, +1.283741752e+04, +1.205814359e+03, +8.213451185e+04, +8.304256447e+03, +3.908417226e+03, +9.963750715e+02, -2.711363615e+03, +9.183923403e+02, -7.821754760e+04, -8.788102762e+03 diff --git a/test/examples/ref/cpw/wave_adaptive/surface-F.csv b/test/examples/ref/cpw/wave_adaptive/surface-F.csv index faedf6a4b..c640b839e 100644 --- a/test/examples/ref/cpw/wave_adaptive/surface-F.csv +++ b/test/examples/ref/cpw/wave_adaptive/surface-F.csv @@ -1,282 +1,282 @@ f (GHz), Re{Φ_elec[1]} (C), Im{Φ_elec[1]} (C), Φ_pow[2] (W), Φ_pow[3] (W), Φ_pow[4] (W) - 2.000000000e+00, +8.325633033e-13, -2.065812617e-13, +1.580802828e-05, +9.845262626e-01, +9.794832594e-01 - 2.100000000e+00, +8.288004162e-13, -2.162326554e-13, +1.740357803e-05, +9.839898366e-01, +9.789468433e-01 - 2.200000000e+00, +8.248776643e-13, -2.257892241e-13, +1.907211565e-05, +9.834346874e-01, +9.783914555e-01 - 2.300000000e+00, +8.207982005e-13, -2.352475056e-13, +2.081293108e-05, +9.828616929e-01, +9.778180415e-01 - 2.400000000e+00, +8.165652666e-13, -2.446041591e-13, +2.262529812e-05, +9.822717802e-01, +9.772275740e-01 - 2.500000000e+00, +8.121821898e-13, -2.538559705e-13, +2.450846968e-05, +9.816659159e-01, +9.766210512e-01 - 2.600000000e+00, +8.076523769e-13, -2.629998564e-13, +2.646167508e-05, +9.810450984e-01, +9.759994945e-01 - 2.700000000e+00, +8.029793092e-13, -2.720328677e-13, +2.848411963e-05, +9.804103540e-01, +9.753639469e-01 - 2.800000000e+00, +7.981665362e-13, -2.809521916e-13, +3.057498400e-05, +9.797627321e-01, +9.747154706e-01 - 2.900000000e+00, +7.932176697e-13, -2.897551532e-13, +3.273342465e-05, +9.791033029e-01, +9.740551454e-01 - 3.000000000e+00, +7.881363769e-13, -2.984392173e-13, 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+1.167763707e-03, +9.828695909e-01, +9.729819856e-01 + 3.000000000e+01, -1.783492608e-13, +2.467837580e-14, +1.176594670e-03, +9.834786569e-01, +9.735647213e-01 diff --git a/test/examples/ref/cpw/wave_adaptive/surface-Q.csv b/test/examples/ref/cpw/wave_adaptive/surface-Q.csv index 04bfcf37d..41a792d22 100644 --- a/test/examples/ref/cpw/wave_adaptive/surface-Q.csv +++ b/test/examples/ref/cpw/wave_adaptive/surface-Q.csv @@ -1,282 +1,282 @@ f (GHz), p_surf[1], Q_surf[1], p_surf[2], Q_surf[2], p_surf[3], Q_surf[3] - 2.000000000e+00, +9.521284243e-05, +1.050278486e+04, +3.292989339e-05, +3.036754442e+04, +2.766357535e-07, +3.614861736e+06 - 2.100000000e+00, +9.521185624e-05, +1.050289365e+04, +3.292935940e-05, +3.036803686e+04, +2.766331177e-07, +3.614896178e+06 - 2.200000000e+00, +9.521083050e-05, +1.050300680e+04, +3.292879816e-05, +3.036855445e+04, +2.766303958e-07, +3.614931748e+06 - 2.300000000e+00, +9.520976637e-05, +1.050312419e+04, +3.292821108e-05, +3.036909589e+04, +2.766275935e-07, +3.614968367e+06 - 2.400000000e+00, +9.520866509e-05, +1.050324568e+04, +3.292759911e-05, +3.036966032e+04, +2.766247170e-07, +3.615005958e+06 - 2.500000000e+00, +9.520752795e-05, +1.050337113e+04, +3.292696290e-05, +3.037024711e+04, +2.766217726e-07, +3.615044436e+06 - 2.600000000e+00, +9.520635629e-05, +1.050350039e+04, +3.292630304e-05, +3.037085575e+04, +2.766187668e-07, +3.615083718e+06 - 2.700000000e+00, +9.520515149e-05, +1.050363330e+04, +3.292561999e-05, +3.037148580e+04, +2.766157064e-07, +3.615123714e+06 - 2.800000000e+00, +9.520391499e-05, +1.050376973e+04, +3.292491421e-05, +3.037213684e+04, +2.766125983e-07, +3.615164335e+06 - 2.900000000e+00, +9.520264827e-05, +1.050390948e+04, +3.292418613e-05, +3.037280849e+04, +2.766094495e-07, +3.615205488e+06 - 3.000000000e+00, +9.520135285e-05, +1.050405241e+04, +3.292343616e-05, +3.037350036e+04, +2.766062675e-07, +3.615247077e+06 - 3.100000000e+00, +9.520003030e-05, +1.050419834e+04, +3.292266471e-05, +3.037421207e+04, +2.766030596e-07, +3.615289005e+06 - 3.200000000e+00, +9.519868223e-05, +1.050434708e+04, +3.292187221e-05, +3.037494325e+04, +2.765998334e-07, +3.615331172e+06 - 3.300000000e+00, +9.519731028e-05, +1.050449847e+04, +3.292105907e-05, +3.037569350e+04, +2.765965968e-07, +3.615373477e+06 - 3.400000000e+00, +9.519591615e-05, +1.050465230e+04, +3.292022573e-05, +3.037646243e+04, +2.765933576e-07, +3.615415817e+06 - 3.500000000e+00, +9.519450155e-05, +1.050480841e+04, +3.291937260e-05, +3.037724965e+04, +2.765901239e-07, +3.615458087e+06 - 3.600000000e+00, +9.519306823e-05, +1.050496658e+04, +3.291850015e-05, +3.037805476e+04, +2.765869037e-07, +3.615500180e+06 - 3.700000000e+00, +9.519161798e-05, +1.050512662e+04, +3.291760881e-05, +3.037887733e+04, +2.765837052e-07, +3.615541990e+06 - 3.800000000e+00, +9.519015263e-05, +1.050528833e+04, +3.291669905e-05, +3.037971695e+04, +2.765805369e-07, +3.615583408e+06 - 3.900000000e+00, +9.518867401e-05, +1.050545152e+04, 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+3.144719837e+04, +2.674745473e-07, +3.738673493e+06 diff --git a/test/examples/ref/cpw/wave_uniform/domain-E.csv b/test/examples/ref/cpw/wave_uniform/domain-E.csv index d536383f8..30761fb6b 100644 --- a/test/examples/ref/cpw/wave_uniform/domain-E.csv +++ b/test/examples/ref/cpw/wave_uniform/domain-E.csv @@ -1,16 +1,16 @@ f (GHz), E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] - 2.000000000e+00, +1.913387450e-02, +1.376343027e-02, +0.000000000e+00, +0.000000000e+00, +1.740245224e-02, +9.095101066e-01, +6.884853555e-03, +5.002280261e-01 - 4.000000000e+00, +1.805649262e-02, +1.440892343e-02, +0.000000000e+00, +0.000000000e+00, +1.642227071e-02, +9.094939454e-01, +7.208471773e-03, +5.002783037e-01 - 6.000000000e+00, +1.680479034e-02, +1.524806376e-02, +0.000000000e+00, +0.000000000e+00, +1.528360155e-02, +9.094788599e-01, +7.629122923e-03, +5.003338814e-01 - 8.000000000e+00, +1.584762417e-02, +1.605218105e-02, +0.000000000e+00, +0.000000000e+00, +1.441312803e-02, +9.094819440e-01, +8.032058070e-03, +5.003717591e-01 - 1.000000000e+01, +1.545538006e-02, +1.663793338e-02, +0.000000000e+00, +0.000000000e+00, +1.405696497e-02, +9.095192036e-01, +8.325194091e-03, +5.003742894e-01 - 1.200000000e+01, +1.563508315e-02, +1.689469356e-02, +0.000000000e+00, +0.000000000e+00, +1.422154623e-02, +9.095919791e-01, +8.452957008e-03, +5.003320704e-01 - 1.400000000e+01, +1.614982845e-02, +1.680724963e-02, +0.000000000e+00, +0.000000000e+00, +1.469122625e-02, +9.096831146e-01, +8.408671080e-03, +5.003002433e-01 - 1.600000000e+01, +1.662741476e-02, +1.647641090e-02, +0.000000000e+00, +0.000000000e+00, +1.512730412e-02, +9.097808855e-01, +8.243189430e-03, +5.003024919e-01 - 1.800000000e+01, +1.677663518e-02, +1.609416449e-02, +0.000000000e+00, +0.000000000e+00, +1.526438410e-02, +9.098596905e-01, +8.052186054e-03, +5.003171218e-01 - 2.000000000e+01, +1.654980034e-02, +1.584617216e-02, +0.000000000e+00, +0.000000000e+00, 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+5.010317175e-01 + 2.800000000e+01, +1.585015105e-02, +1.651218500e-02, +0.000000000e+00, +0.000000000e+00, +1.441985488e-02, +9.097613541e-01, +8.276865502e-03, +5.012580409e-01 + 3.000000000e+01, +1.617270700e-02, +1.660182732e-02, +0.000000000e+00, +0.000000000e+00, +1.471364310e-02, +9.097823328e-01, +8.324631048e-03, +5.014286010e-01 diff --git a/test/examples/ref/cpw/wave_uniform/error-indicators.csv b/test/examples/ref/cpw/wave_uniform/error-indicators.csv index 3782ead6b..3ab8bd5a0 100644 --- a/test/examples/ref/cpw/wave_uniform/error-indicators.csv +++ b/test/examples/ref/cpw/wave_uniform/error-indicators.csv @@ -1,2 +1,2 @@ Norm, Minimum, Maximum, Mean - +6.790461059e-01, +2.454417574e-06, +2.858454416e-02, +2.626839246e-03 + +5.361566448e-01, +2.028422294e-06, +2.895920213e-02, +1.879122325e-03 diff --git a/test/examples/ref/cpw/wave_uniform/port-S.csv b/test/examples/ref/cpw/wave_uniform/port-S.csv index aeab6c605..27ea8d16b 100644 --- a/test/examples/ref/cpw/wave_uniform/port-S.csv +++ b/test/examples/ref/cpw/wave_uniform/port-S.csv @@ -1,16 +1,16 @@ f (GHz), |S[1][1]| (dB), arg(S[1][1]) (deg.), |S[2][1]| (dB), arg(S[2][1]) (deg.), |S[3][1]| (dB), arg(S[3][1]) (deg.), |S[4][1]| (dB), arg(S[4][1]) (deg.) - 2.000000000e+00, -2.275650555e+01, -1.120392872e+02, -5.698448759e-02, -2.386510448e+01, -4.755987469e+01, +1.190160526e+01, -4.867109944e+01, +1.572988695e+02 - 4.000000000e+00, -1.751192703e+01, -1.364965153e+02, -1.157687885e-01, -4.749630879e+01, -4.566660035e+01, +1.287177007e+01, -4.873116255e+01, +1.349583060e+02 - 6.000000000e+00, -1.529569738e+01, -1.600346775e+02, -1.726753019e-01, -7.080865738e+01, -4.429189083e+01, +5.942086632e+00, -4.876724674e+01, +1.131671005e+02 - 8.000000000e+00, -1.471249403e+01, +1.767933059e+02, -1.941344793e-01, -9.390974559e+01, -4.375005879e+01, -4.457997217e+00, -4.871445662e+01, +9.172939628e+01 - 1.000000000e+01, -1.552100386e+01, +1.536623319e+02, -1.679184119e-01, -1.170289367e+02, -4.409564200e+01, -1.545275163e+01, -4.856174994e+01, +7.016298038e+01 - 1.200000000e+01, -1.809462391e+01, +1.303011146e+02, -1.096657264e-01, -1.403870429e+02, -4.539527943e+01, -2.413477565e+01, -4.835884576e+01, +4.825621904e+01 - 1.400000000e+01, -2.438790246e+01, +1.065844605e+02, -5.416211562e-02, -1.640702914e+02, -4.743983400e+01, -2.510220361e+01, -4.807870426e+01, +2.585556713e+01 - 1.600000000e+01, -3.631653395e+01, -9.659745995e+01, -3.702799889e-02, +1.720198575e+02, -4.904265313e+01, -1.455558696e+01, -4.791694608e+01, +2.238835284e+00 - 1.800000000e+01, -2.093575261e+01, -1.207221903e+02, -7.235575959e-02, +1.481381717e+02, -4.838769239e+01, +9.621694872e-01, -4.796222045e+01, -2.078899482e+01 - 2.000000000e+01, -1.642041193e+01, -1.441572137e+02, -1.411336366e-01, +1.245227638e+02, -4.622243012e+01, +4.904387743e+00, -4.806069863e+01, -4.243039528e+01 - 2.200000000e+01, -1.441935335e+01, -1.671282422e+02, -2.052319754e-01, +1.012487132e+02, -4.447678046e+01, -1.688746595e+00, -4.803608224e+01, -6.266274552e+01 - 2.400000000e+01, -1.386701923e+01, +1.703066611e+02, -2.303879214e-01, +7.819725253e+01, -4.364450227e+01, -1.316905554e+01, -4.774015415e+01, -8.240450734e+01 - 2.600000000e+01, -1.454264615e+01, +1.480779839e+02, -2.042823340e-01, +5.513267079e+01, -4.379159399e+01, -2.626110287e+01, -4.718285987e+01, -1.031206726e+02 - 2.800000000e+01, -1.667121918e+01, +1.264464504e+02, -1.420091412e-01, +3.182955369e+01, -4.501733894e+01, -3.834421597e+01, -4.653832255e+01, -1.257219851e+02 - 3.000000000e+01, -2.129310291e+01, +1.074482731e+02, -7.801235764e-02, +8.192646890e+00, -4.748988454e+01, -4.490761392e+01, -4.601699790e+01, -1.500312697e+02 + 2.000000000e+00, -2.286145474e+01, -1.120094190e+02, -5.639897337e-02, -2.385411878e+01, -4.756492796e+01, +1.189321566e+01, -4.867487410e+01, +1.573185665e+02 + 4.000000000e+00, -1.761554152e+01, -1.364725175e+02, -1.138477922e-01, -4.747980874e+01, -4.567280630e+01, +1.286601939e+01, -4.873370772e+01, +1.349991104e+02 + 6.000000000e+00, -1.539794546e+01, -1.600169485e+02, -1.694861809e-01, -7.079392226e+01, -4.429836494e+01, +5.942056114e+00, -4.876702306e+01, +1.132246282e+02 + 8.000000000e+00, -1.481412919e+01, +1.768024491e+02, -1.904965439e-01, -9.390147322e+01, -4.375598414e+01, -4.452691856e+00, -4.871064769e+01, +9.179421293e+01 + 1.000000000e+01, -1.562297534e+01, +1.536654504e+02, -1.649127150e-01, -1.170266707e+02, -4.410062404e+01, -1.544748604e+01, -4.855392338e+01, +7.022049816e+01 + 1.200000000e+01, -1.819733882e+01, +1.303074042e+02, -1.080331926e-01, -1.403853212e+02, -4.540012578e+01, -2.413415995e+01, -4.834865079e+01, +4.828617923e+01 + 1.400000000e+01, -2.449045216e+01, +1.066182865e+02, -5.381763498e-02, -1.640613739e+02, -4.744435174e+01, -2.508869423e+01, -4.807181170e+01, +2.586219897e+01 + 1.600000000e+01, -3.643269053e+01, -9.680290416e+01, -3.701415264e-02, +1.720408826e+02, -4.904309745e+01, -1.456736655e+01, -4.791181941e+01, +2.252562711e+00 + 1.800000000e+01, -2.104279776e+01, -1.207554723e+02, -7.146484533e-02, +1.481702203e+02, -4.839421350e+01, +9.307335661e-01, -4.795789264e+01, -2.077540302e+01 + 2.000000000e+01, -1.652561308e+01, -1.441749817e+02, -1.386139107e-01, +1.245593780e+02, -4.623132112e+01, +4.908664810e+00, -4.805792639e+01, -4.241441958e+01 + 2.200000000e+01, -1.452371417e+01, -1.671479363e+02, -2.012132022e-01, +1.012818663e+02, -4.448240282e+01, -1.658079476e+00, -4.803474011e+01, -6.263640382e+01 + 2.400000000e+01, -1.397233615e+01, +1.702777271e+02, -2.257593221e-01, +7.822166169e+01, -4.364500969e+01, -1.313243335e+01, -4.773901593e+01, -8.236275250e+01 + 2.600000000e+01, -1.465171411e+01, +1.480410805e+02, -2.002110323e-01, +5.514815366e+01, -4.378652976e+01, -2.623720991e+01, -4.718072610e+01, -1.030672303e+02 + 2.800000000e+01, -1.678871536e+01, +1.264151495e+02, -1.393787607e-01, +3.184087985e+01, -4.500703999e+01, -3.835581192e+01, -4.653510082e+01, -1.256620974e+02 + 3.000000000e+01, -2.143180863e+01, +1.074786308e+02, -7.699363283e-02, +8.207061693e+00, -4.747662292e+01, -4.498160905e+01, -4.601278814e+01, -1.499634506e+02 diff --git a/test/examples/ref/cpw/wave_uniform/probe-B.csv b/test/examples/ref/cpw/wave_uniform/probe-B.csv index dbd21364c..f4f68778d 100644 --- a/test/examples/ref/cpw/wave_uniform/probe-B.csv +++ b/test/examples/ref/cpw/wave_uniform/probe-B.csv @@ -1,16 +1,16 @@ f (GHz), Re{B_x[1]} (Wb/m²), Im{B_x[1]} (Wb/m²), Re{B_y[1]} (Wb/m²), Im{B_y[1]} (Wb/m²), Re{B_z[1]} (Wb/m²), Im{B_z[1]} (Wb/m²), Re{B_x[2]} (Wb/m²), Im{B_x[2]} (Wb/m²), Re{B_y[2]} (Wb/m²), Im{B_y[2]} (Wb/m²), Re{B_z[2]} (Wb/m²), Im{B_z[2]} (Wb/m²) - 2.000000000e+00, +2.613672697e-05, -4.359601271e-06, +5.167785828e-04, -9.061155269e-05, -1.398523923e-05, +5.693504812e-07, +2.883914490e-05, -5.033214520e-06, -5.551146087e-04, +9.604330622e-05, +6.781843042e-05, -1.326120820e-05 - 4.000000000e+00, +2.543115025e-05, -8.839909813e-06, +5.012543783e-04, -1.834571884e-04, -1.525993177e-05, +1.782970386e-06, +2.797185684e-05, -1.017453264e-05, -5.394597092e-04, +1.948212346e-04, +6.450025649e-05, -2.637183139e-05 - 6.000000000e+00, +2.406211246e-05, -1.350361007e-05, +4.716787949e-04, -2.799542226e-04, -1.688071971e-05, +4.198352828e-06, +2.634477495e-05, -1.551047183e-05, -5.091439680e-04, +2.981095214e-04, +5.878455221e-05, -3.910673668e-05 - 8.000000000e+00, +2.175580744e-05, -1.829873203e-05, +4.224477672e-04, -3.793411964e-04, -1.806149657e-05, +8.139270279e-06, +2.364312984e-05, -2.101604085e-05, -4.578475154e-04, +4.052121183e-04, +5.043667704e-05, -5.107820808e-05 - 1.000000000e+01, +1.818961704e-05, -2.294967296e-05, +3.466693824e-04, -4.766509030e-04, -1.777938270e-05, +1.346074292e-05, +1.945580310e-05, -2.640771174e-05, -3.778519762e-04, +5.107814339e-04, +3.923798401e-05, -6.163542031e-05 - 1.200000000e+01, +1.321188548e-05, -2.682354817e-05, +2.392109322e-04, -5.609186484e-04, -1.507492014e-05, +1.932492466e-05, +1.352401206e-05, -3.096843671e-05, -2.633573593e-04, +6.028887606e-04, +2.519805378e-05, -6.979320339e-05 - 1.400000000e+01, +7.403819411e-06, -2.938945931e-05, +1.019226076e-04, -6.160964406e-04, -9.607496598e-06, +2.422064987e-05, +6.330983273e-06, -3.395516405e-05, -1.161738013e-04, +6.640047855e-04, +8.872914648e-06, -7.435223232e-05 - 1.600000000e+01, +7.220822435e-07, -3.069214926e-05, -5.215101069e-05, -6.272075124e-04, -2.182915158e-06, +2.655418550e-05, -1.969875230e-06, -3.507376307e-05, +4.964583404e-05, +6.777055449e-04, -8.402650872e-06, -7.434225719e-05 - 1.800000000e+01, -6.179761825e-06, -2.982097355e-05, -2.014993443e-04, -5.895681373e-04, +5.443813783e-06, +2.561362964e-05, -1.038904155e-05, -3.340242563e-05, +2.107652254e-04, +6.387637536e-04, -2.480877440e-05, -6.966843855e-05 - 2.000000000e+01, -1.217233028e-05, -2.713842751e-05, -3.263740547e-04, -5.123459776e-04, +1.152605318e-05, +2.202057242e-05, -1.755976001e-05, -2.940439329e-05, +3.457130787e-04, +5.570671969e-04, -3.880988810e-05, -6.122323287e-05 - 2.200000000e+01, -1.685112828e-05, -2.342342329e-05, -4.174574123e-04, -4.124150574e-04, +1.525327772e-05, +1.722113544e-05, -2.292484280e-05, -2.405093093e-05, +4.443879688e-04, +4.509533953e-04, -4.968823750e-05, -5.038329213e-05 - 2.400000000e+01, -2.031288503e-05, -1.931851645e-05, -4.760892503e-04, -3.051625682e-04, +1.685315834e-05, +1.256800147e-05, -2.654258671e-05, -1.818014311e-05, +5.083646956e-04, +3.371486660e-04, -5.750288256e-05, -3.836716163e-05 - 2.600000000e+01, -2.287216524e-05, -1.515685933e-05, -5.089510662e-04, -1.998298610e-04, +1.708067848e-05, +8.835437530e-06, -2.873884940e-05, -1.227886791e-05, +5.451035643e-04, +2.256153278e-04, -6.270451270e-05, -2.590986350e-05 - 2.800000000e+01, -2.482443099e-05, -1.098745042e-05, -5.231350467e-04, -9.987490086e-05, +1.678183339e-05, +6.293248158e-06, -2.983352231e-05, -6.545822761e-06, +5.625259224e-04, +1.198876844e-04, -6.572446461e-05, -1.323180311e-05 - 3.000000000e+01, -2.630680982e-05, -6.706830886e-06, -5.238149321e-04, -5.213466645e-06, +1.686456811e-05, +4.775505045e-06, -3.005109334e-05, -1.043572688e-06, +5.663987895e-04, +1.946860481e-05, -6.658685942e-05, -3.308432819e-07 + 2.000000000e+00, +5.570054999e-05, -9.742566078e-06, +5.310051222e-04, -9.319944538e-05, -2.564118674e-05, +2.887184089e-06, +2.284131588e-05, -4.078193775e-06, -5.622991773e-04, +9.750485025e-05, +3.967414926e-05, -8.400559574e-06 + 4.000000000e+00, +5.401045661e-05, -1.970161069e-05, +5.149482359e-04, -1.886612946e-04, -2.638663146e-05, +6.404388446e-06, +2.210466840e-05, -8.221683656e-06, -5.462274890e-04, +1.977070995e-04, +3.715289694e-05, -1.651370515e-05 + 6.000000000e+00, +5.079963611e-05, -3.003031642e-05, +4.843856093e-04, -2.877971603e-04, -2.706944051e-05, +1.111746591e-05, +2.073984377e-05, -1.249487166e-05, -5.151922941e-04, +3.023330293e-04, +3.298006128e-05, -2.403216551e-05 + 8.000000000e+00, +4.548980643e-05, -4.062963657e-05, 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+5.137461957e-04, +3.420352511e-04, -3.222289922e-05, -2.095256650e-05 + 2.600000000e+01, -5.431238329e-05, -2.358863036e-05, -5.221909852e-04, -2.064941439e-04, +3.027887212e-05, +1.095223277e-05, -2.372787162e-05, -8.687735994e-06, +5.513506414e-04, +2.293231639e-04, -3.545543134e-05, -1.396751610e-05 + 2.800000000e+01, -5.640269228e-05, -1.290936652e-05, -5.371379205e-04, -1.039353915e-04, +2.993370979e-05, +5.489731559e-06, -2.437938190e-05, -3.795943573e-06, +5.693792238e-04, +1.222942810e-04, -3.739544506e-05, -6.531828338e-06 + 3.000000000e+01, -5.697532889e-05, -2.637545144e-06, -5.382091636e-04, -6.716815552e-06, +2.938184845e-05, +1.193013359e-06, -2.419591774e-05, +8.412663855e-07, +5.736071658e-04, +2.049758400e-05, -3.783916418e-05, +1.269836735e-06 diff --git a/test/examples/ref/cpw/wave_uniform/probe-E.csv b/test/examples/ref/cpw/wave_uniform/probe-E.csv index 2b4101bed..18f273f78 100644 --- a/test/examples/ref/cpw/wave_uniform/probe-E.csv +++ b/test/examples/ref/cpw/wave_uniform/probe-E.csv @@ -1,16 +1,16 @@ f (GHz), Re{E_x[1]} (V/m), Im{E_x[1]} (V/m), Re{E_y[1]} (V/m), Im{E_y[1]} (V/m), Re{E_z[1]} (V/m), Im{E_z[1]} (V/m), Re{E_x[2]} (V/m), Im{E_x[2]} (V/m), Re{E_y[2]} (V/m), Im{E_y[2]} (V/m), Re{E_z[2]} (V/m), Im{E_z[2]} (V/m) - 2.000000000e+00, +3.652644126e+03, -8.978620902e+02, -1.636844398e+04, +4.319930738e+03, -7.871831534e+04, +1.972457287e+04, -3.201341889e+03, +7.310125713e+02, +1.139097613e+04, -2.723132646e+03, +7.669926902e+04, -1.920883782e+04 - 4.000000000e+00, +3.262598109e+03, -1.672096255e+03, -1.437370035e+04, +7.977761084e+03, -7.013221854e+04, +3.678201093e+04, -2.901755032e+03, +1.369888179e+03, +1.029823831e+04, -5.147371200e+03, +6.831887084e+04, -3.579526300e+04 - 6.000000000e+00, +2.723134178e+03, -2.256457967e+03, -1.165329527e+04, +1.063439849e+04, -5.817315743e+04, +4.971966640e+04, -2.484464690e+03, +1.865558401e+03, +8.719629355e+03, -7.089373379e+03, +5.667641481e+04, -4.834117149e+04 - 8.000000000e+00, +2.129825931e+03, -2.651416192e+03, -8.709570528e+03, +1.232330587e+04, -4.487530173e+04, +5.849135399e+04, -2.022920023e+03, +2.215891326e+03, +6.883253496e+03, -8.499427307e+03, +4.377590555e+04, -5.682573446e+04 - 1.000000000e+01, +1.543852714e+03, -2.895875632e+03, -5.812733055e+03, +1.328003234e+04, -3.155613441e+04, +6.384815099e+04, -1.570505072e+03, +2.448921492e+03, +4.989238046e+03, -9.409876286e+03, +3.089474151e+04, -6.201873565e+04 - 1.200000000e+01, +9.896098952e+02, -3.036771547e+03, -2.934576742e+03, +1.366207977e+04, -1.878484310e+04, +6.668831525e+04, -1.165238893e+03, +2.615531011e+03, +3.265717238e+03, -9.976130292e+03, +1.853249547e+04, -6.480498024e+04 - 1.400000000e+01, +4.627494997e+02, -3.113754897e+03, -3.354854655e+02, +1.315721312e+04, -6.628868058e+03, +6.773691328e+04, -7.615217385e+02, +2.818830665e+03, +1.496232274e+03, -1.074335331e+04, +6.792922406e+03, -6.577562570e+04 - 1.600000000e+01, -5.822117850e+01, -3.140828127e+03, +1.422201764e+03, +1.268057611e+04, +5.130040350e+03, +6.739520344e+04, -2.459549100e+02, +2.955162843e+03, -9.179986665e+02, -1.097636782e+04, -4.404776495e+03, -6.553930204e+04 - 1.800000000e+01, -5.872297199e+02, -3.117310259e+03, +3.281224525e+03, +1.243508681e+04, +1.673555366e+04, +6.578478301e+04, +2.788154864e+02, +2.992476673e+03, -3.146981475e+03, -1.053639443e+04, -1.556808436e+04, -6.423895447e+04 - 2.000000000e+01, -1.138971312e+03, -3.031465406e+03, +5.334347829e+03, +1.205191858e+04, +2.845571017e+04, +6.279593995e+04, +8.237166175e+02, +2.958130705e+03, -5.194369466e+03, -9.756456529e+03, -2.697967147e+04, -6.163612840e+04 - 2.200000000e+01, -1.718988560e+03, -2.857373569e+03, +7.588760197e+03, +1.138817091e+04, +4.045966681e+04, +5.801801007e+04, +1.394801804e+03, +2.828468764e+03, -7.122408746e+03, -8.643589154e+03, -3.878740093e+04, -5.728010966e+04 - 2.400000000e+01, -2.316646909e+03, -2.559416533e+03, +1.003970464e+04, +1.025016474e+04, +5.261994946e+04, +5.075887672e+04, +1.974441763e+03, +2.574321497e+03, -8.904922020e+03, -7.144947332e+03, -5.085240580e+04, -5.045997314e+04 - 2.600000000e+01, -2.896373183e+03, -2.099124268e+03, +1.255309799e+04, +8.386461406e+03, +6.426295054e+04, +4.019902441e+04, +2.525821372e+03, +2.171807222e+03, -1.044482247e+04, -5.210208180e+03, -6.249691318e+04, -4.034341753e+04 - 2.800000000e+01, -3.390064627e+03, -1.452466231e+03, +1.478833550e+04, +5.596082974e+03, +7.398218110e+04, +2.579473760e+04, +2.992800497e+03, +1.612305203e+03, -1.157944227e+04, -2.834444645e+03, -7.231499389e+04, -2.637290309e+04 - 3.000000000e+01, -3.705072305e+03, -6.382959706e+02, +1.622982891e+04, +1.910683349e+03, +7.980684149e+04, +7.911410027e+03, +3.307235956e+03, +9.189963142e+02, -1.211045088e+04, -1.105907669e+02, -7.833642532e+04, -8.895648968e+03 + 2.000000000e+00, +2.405198238e+03, -5.870710511e+02, -1.302810002e+04, +3.478441301e+03, -8.100506391e+04, +2.024603973e+04, -3.805050345e+03, +8.864931138e+02, +2.171193548e+03, -4.238426003e+02, +7.656281044e+04, -1.912752382e+04 + 4.000000000e+00, +2.153124711e+03, -1.095676369e+03, -1.141293612e+04, +6.421626879e+03, -7.221860475e+04, +3.777534293e+04, -3.435514474e+03, +1.658349807e+03, +2.076528337e+03, -8.597377561e+02, +6.824903955e+04, -3.566979695e+04 + 6.000000000e+00, +1.802470902e+03, -1.483000519e+03, -9.208514916e+03, +8.554833883e+03, -5.996312022e+04, +5.109948683e+04, -2.921760855e+03, +2.252576750e+03, +1.886773951e+03, -1.293014229e+03, +5.667650140e+04, -4.821849871e+04 + 8.000000000e+00, +1.413950565e+03, -1.747844995e+03, -6.819983896e+03, +9.904821406e+03, -4.631442232e+04, +6.015957738e+04, -2.354413366e+03, +2.667412615e+03, +1.591978664e+03, -1.678515558e+03, +4.382366301e+04, -5.673756552e+04 + 1.000000000e+01, +1.027884753e+03, -1.913372407e+03, -4.461196593e+03, +1.066244214e+04, -3.262391135e+04, +6.571512732e+04, -1.796724759e+03, +2.938234584e+03, +1.236799274e+03, -1.958846918e+03, +3.096170814e+04, -6.197522297e+04 + 1.200000000e+01, +6.637876058e+02, -2.010319662e+03, -2.090880232e+03, +1.094395867e+04, -1.947632604e+04, +6.868017357e+04, -1.287333086e+03, +3.121238835e+03, +9.805695825e+02, -2.175439286e+03, +1.859767125e+04, -6.480311599e+04 + 1.400000000e+01, +3.147658246e+02, -2.074056924e+03, +5.318660530e+01, +1.042281836e+04, -6.952927224e+03, +6.978243131e+04, -7.899715112e+02, +3.312623575e+03, +6.263098100e+02, -2.773167719e+03, +6.835383079e+03, -6.581341629e+04 + 1.600000000e+01, -4.555111002e+01, -2.097170841e+03, +1.405405836e+03, +9.928788345e+03, +5.150751490e+03, +6.946023474e+04, -2.043625338e+02, +3.437603318e+03, -3.895434113e+02, -3.021377824e+03, -4.406804024e+03, -6.559054734e+04 + 1.800000000e+01, -4.074500994e+02, -2.075326840e+03, +2.829996693e+03, +9.675991016e+03, +1.711466377e+04, +6.783885027e+04, +3.946242274e+02, +3.467315197e+03, -1.245271161e+03, -2.755155894e+03, -1.560981244e+04, -6.427749953e+04 + 2.000000000e+01, -7.792016566e+02, -2.008477787e+03, +4.409576093e+03, +9.329951276e+03, +2.921104055e+04, +6.478712864e+04, +1.019942663e+03, +3.418348910e+03, -1.904087989e+03, -2.310689953e+03, -2.705029480e+04, -6.164353773e+04 + 2.200000000e+01, -1.164843353e+03, -1.881349293e+03, +6.146617782e+03, +8.775800633e+03, +4.160306781e+04, +5.987691375e+04, +1.677884917e+03, +3.262293942e+03, -2.406477534e+03, -1.746595012e+03, -3.886886387e+04, -5.724182668e+04 + 2.400000000e+01, -1.556861769e+03, -1.672051032e+03, +8.043034880e+03, +7.858523059e+03, +5.414801219e+04, +5.239790562e+04, +2.350110719e+03, +2.963260395e+03, -2.743456290e+03, -1.092876824e+03, -5.091815561e+04, -5.037018306e+04 + 2.600000000e+01, -1.931719021e+03, -1.357543800e+03, +9.996471346e+03, +6.371530065e+03, +6.614399342e+04, +4.151660904e+04, +2.994424163e+03, +2.489064283e+03, -2.899476555e+03, -3.946090005e+02, -6.251611480e+04, -4.021240196e+04 + 2.800000000e+01, -2.245857381e+03, -9.245769855e+02, +1.173392262e+04, +4.146873752e+03, +7.614406321e+04, +2.668920592e+04, +3.542447847e+03, +1.825011776e+03, -2.878095738e+03, +2.916327657e+02, -7.226451586e+04, -2.623154844e+04 + 3.000000000e+01, -2.441257178e+03, -3.871005380e+02, +1.283741640e+04, +1.205813474e+03, +8.213451199e+04, +8.304255024e+03, +3.908418151e+03, +9.963747663e+02, -2.711363894e+03, +9.183918562e+02, -7.821754670e+04, -8.788101277e+03 diff --git a/test/examples/ref/cpw/wave_uniform/surface-F.csv b/test/examples/ref/cpw/wave_uniform/surface-F.csv index 43abcd842..044f99209 100644 --- a/test/examples/ref/cpw/wave_uniform/surface-F.csv +++ b/test/examples/ref/cpw/wave_uniform/surface-F.csv @@ -1,16 +1,16 @@ f (GHz), Re{Φ_elec[1]} (C), Im{Φ_elec[1]} (C), Φ_pow[2] (W), Φ_pow[3] (W), Φ_pow[4] (W) - 2.000000000e+00, +8.325637568e-13, -2.065823589e-13, +1.580708989e-05, +9.845233498e-01, +9.794831155e-01 - 4.000000000e+00, +7.308743209e-13, -3.782840065e-13, +6.067531978e-05, +9.713868237e-01, +9.663300782e-01 - 6.000000000e+00, +5.929855797e-13, -4.966797946e-13, +1.275961673e-04, +9.588616164e-01, +9.537709946e-01 - 8.000000000e+00, +4.459732632e-13, -5.623172066e-13, +2.068897070e-04, +9.542553574e-01, +9.490958933e-01 - 1.000000000e+01, +3.070252179e-13, -5.863003130e-13, +2.893821487e-04, +9.601455156e-01, +9.548742143e-01 - 1.200000000e+01, +1.831378293e-13, -5.813965602e-13, +3.709617480e-04, +9.732177849e-01, +9.678008105e-01 - 1.400000000e+01, +7.448385703e-14, -5.574952483e-13, +4.165424781e-04, +9.857816988e-01, +9.802385364e-01 - 1.600000000e+01, -2.165337900e-14, -5.189365439e-13, +3.943170239e-04, +9.897413721e-01, +9.841347323e-01 - 1.800000000e+01, -1.060977240e-13, -4.666597926e-13, +3.761845407e-04, +9.818520330e-01, +9.762248699e-01 - 2.000000000e+01, -1.777837438e-13, -4.002207586e-13, +3.814644033e-04, +9.665731971e-01, +9.609553913e-01 - 2.200000000e+01, -2.326829956e-13, -3.194422103e-13, +4.344658525e-04, +9.525793042e-01, +9.469476309e-01 - 2.400000000e+01, -2.644580593e-13, -2.269284210e-13, +5.557273395e-04, +9.472857595e-01, +9.415557130e-01 - 2.600000000e+01, -2.666278518e-13, -1.299353604e-13, +7.445365991e-04, +9.532679298e-01, +9.473223980e-01 - 2.800000000e+01, -2.361788558e-13, -4.078747569e-14, +9.692523690e-04, +9.673688234e-01, +9.611114551e-01 - 3.000000000e+01, -1.776475636e-13, +2.570941063e-14, +1.173102818e-03, +9.820936662e-01, +9.755068233e-01 + 2.000000000e+00, +8.745809448e-13, -2.164684572e-13, +1.583258960e-05, +9.858043433e-01, +9.774468994e-01 + 4.000000000e+00, +7.680924728e-13, -3.965630544e-13, +6.077882724e-05, +9.729692986e-01, +9.646140872e-01 + 6.000000000e+00, +6.234438467e-13, -5.209131290e-13, +1.278248384e-04, +9.607298945e-01, +9.523568585e-01 + 8.000000000e+00, +4.689375258e-13, -5.898499929e-13, +2.072757660e-04, +9.562292779e-01, +9.477870377e-01 + 1.000000000e+01, +3.227197344e-13, -6.147931079e-13, +2.900050599e-04, +9.619954411e-01, +9.534211259e-01 + 1.200000000e+01, +1.923642861e-13, -6.090402906e-13, +3.722062719e-04, 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+9.735647502e-01 diff --git a/test/examples/ref/cpw/wave_uniform/surface-Q.csv b/test/examples/ref/cpw/wave_uniform/surface-Q.csv index b6e817207..4951b1b10 100644 --- a/test/examples/ref/cpw/wave_uniform/surface-Q.csv +++ b/test/examples/ref/cpw/wave_uniform/surface-Q.csv @@ -1,16 +1,16 @@ f (GHz), p_surf[1], Q_surf[1], p_surf[2], Q_surf[2], p_surf[3], Q_surf[3] - 2.000000000e+00, +9.521284133e-05, +1.050278498e+04, +3.292995588e-05, +3.036748678e+04, +2.766357527e-07, +3.614861746e+06 - 4.000000000e+00, +9.518718392e-05, +1.050561597e+04, +3.291482743e-05, +3.038144442e+04, +2.765743237e-07, +3.615664631e+06 - 6.000000000e+00, +9.515796089e-05, +1.050884225e+04, +3.289303403e-05, +3.040157376e+04, +2.765351273e-07, +3.616177119e+06 - 8.000000000e+00, +9.513909642e-05, +1.051092598e+04, +3.286868860e-05, +3.042409182e+04, +2.765711143e-07, +3.615706588e+06 - 1.000000000e+01, +9.513551885e-05, +1.051132124e+04, +3.284587760e-05, +3.044522092e+04, +2.766747224e-07, +3.614352592e+06 - 1.200000000e+01, +9.514079463e-05, +1.051073836e+04, +3.283586138e-05, +3.045450790e+04, +2.767588228e-07, +3.613254277e+06 - 1.400000000e+01, +9.516365535e-05, +1.050821342e+04, +3.286557584e-05, +3.042697334e+04, +2.767414499e-07, +3.613481104e+06 - 1.600000000e+01, +9.515157292e-05, +1.050954776e+04, +3.286733953e-05, +3.042534061e+04, +2.765538804e-07, +3.615931906e+06 - 1.800000000e+01, +9.509729149e-05, +1.051554660e+04, +3.286006295e-05, +3.043207804e+04, +2.762351034e-07, +3.620104713e+06 - 2.000000000e+01, +9.503856863e-05, +1.052204399e+04, +3.287577002e-05, +3.041753849e+04, +2.759269554e-07, +3.624147552e+06 - 2.200000000e+01, +9.500167107e-05, +1.052613063e+04, +3.292019229e-05, +3.037649329e+04, +2.757668556e-07, +3.626251596e+06 - 2.400000000e+01, +9.500372466e-05, +1.052590310e+04, +3.298673772e-05, +3.031521360e+04, +2.758297997e-07, +3.625424088e+06 - 2.600000000e+01, +9.504266121e-05, +1.052159091e+04, +3.305326777e-05, +3.025419474e+04, +2.760659062e-07, +3.622323428e+06 - 2.800000000e+01, +9.509248620e-05, +1.051607798e+04, +3.308643843e-05, +3.022386354e+04, +2.762946572e-07, +3.619324421e+06 - 3.000000000e+01, +9.511469557e-05, +1.051362246e+04, +3.305741364e-05, +3.025040043e+04, +2.762939099e-07, +3.619334210e+06 + 2.000000000e+00, +9.545075688e-05, +1.047660629e+04, +3.168513992e-05, +3.156053603e+04, +2.678922507e-07, +3.732844072e+06 + 4.000000000e+00, +9.542504193e-05, +1.047942951e+04, +3.167181470e-05, +3.157381443e+04, +2.678633354e-07, +3.733247024e+06 + 6.000000000e+00, +9.539562321e-05, +1.048266122e+04, +3.165185378e-05, +3.159372614e+04, +2.678611065e-07, +3.733278090e+06 + 8.000000000e+00, +9.537630948e-05, +1.048478396e+04, +3.162811889e-05, +3.161743521e+04, +2.679174924e-07, +3.732492385e+06 + 1.000000000e+01, +9.537197884e-05, +1.048526005e+04, +3.160409659e-05, +3.164146766e+04, +2.680109530e-07, +3.731190792e+06 + 1.200000000e+01, +9.537631176e-05, +1.048478371e+04, +3.159151947e-05, +3.165406466e+04, +2.680623707e-07, +3.730475103e+06 + 1.400000000e+01, +9.539929639e-05, +1.048225760e+04, +3.161954172e-05, +3.162601181e+04, +2.680203183e-07, +3.731060415e+06 + 1.600000000e+01, +9.538851846e-05, +1.048344199e+04, +3.162341187e-05, +3.162214135e+04, +2.678204202e-07, +3.733845236e+06 + 1.800000000e+01, +9.533492567e-05, +1.048933529e+04, +3.161909541e-05, +3.162645822e+04, +2.675060250e-07, +3.738233559e+06 + 2.000000000e+01, +9.527639731e-05, +1.049577889e+04, +3.163690984e-05, +3.160864968e+04, +2.672154396e-07, +3.742298729e+06 + 2.200000000e+01, +9.523901683e-05, +1.049989840e+04, +3.168085776e-05, +3.156480192e+04, +2.670688575e-07, +3.744352708e+06 + 2.400000000e+01, +9.523970259e-05, +1.049982279e+04, +3.174334655e-05, +3.150266461e+04, +2.671249206e-07, +3.743566859e+06 + 2.600000000e+01, +9.527645216e-05, +1.049577285e+04, +3.180318066e-05, +3.144339589e+04, +2.673290444e-07, +3.740708392e+06 + 2.800000000e+01, +9.532377296e-05, +1.049056252e+04, +3.183016253e-05, +3.141674188e+04, +2.675124026e-07, +3.738144438e+06 + 3.000000000e+01, +9.534400316e-05, +1.048833662e+04, +3.179933515e-05, +3.144719835e+04, +2.674745471e-07, +3.738673496e+06 diff --git a/test/examples/ref/rings/domain-E.csv b/test/examples/ref/rings/domain-E.csv index dadad485c..ab3d0de04 100644 --- a/test/examples/ref/rings/domain-E.csv +++ b/test/examples/ref/rings/domain-E.csv @@ -1,3 +1,3 @@ i, E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] - 1.000000000e+00, +0.000000000e+00, +5.669671350e-05, +0.000000000e+00, +0.000000000e+00, +0.000000000e+00, +0.000000000e+00, +5.669671350e-05, +1.000000000e+00 - 2.000000000e+00, +0.000000000e+00, +9.464730640e-04, +0.000000000e+00, +0.000000000e+00, +0.000000000e+00, +0.000000000e+00, +9.464730640e-04, +1.000000000e+00 + 1.000000000e+00, +0.000000000e+00, +5.671999546e-05, +0.000000000e+00, +0.000000000e+00, +0.000000000e+00, +0.000000000e+00, +5.671999546e-05, +1.000000000e+00 + 2.000000000e+00, +0.000000000e+00, +9.466520856e-04, +0.000000000e+00, +0.000000000e+00, +0.000000000e+00, +0.000000000e+00, +9.466520856e-04, +1.000000000e+00 diff --git a/test/examples/ref/rings/error-indicators.csv b/test/examples/ref/rings/error-indicators.csv index 62dbb87c9..455b460dc 100644 --- a/test/examples/ref/rings/error-indicators.csv +++ b/test/examples/ref/rings/error-indicators.csv @@ -1,2 +1,2 @@ Norm, Minimum, Maximum, Mean - +3.178472792e-01, +7.241782652e-08, +2.108642246e-02, +5.448091921e-04 + +2.626055009e-01, +7.236162877e-08, +2.076731535e-02, +4.605867747e-04 diff --git a/test/examples/ref/rings/probe-B.csv b/test/examples/ref/rings/probe-B.csv index 5d540bcb2..5d3a81eb7 100644 --- a/test/examples/ref/rings/probe-B.csv +++ b/test/examples/ref/rings/probe-B.csv @@ -1,3 +1,3 @@ i, B_x[1] (Wb/m²), B_y[1] (Wb/m²), B_z[1] (Wb/m²) - 1.000000000e+00, +2.352535746e-05, +6.221967801e-05, +3.270416718e-03 - 2.000000000e+00, +7.277232548e-08, +1.889690866e-07, +3.258319307e-04 + 1.000000000e+00, +2.349580524e-05, +6.218823296e-05, +3.270181565e-03 + 2.000000000e+00, +7.247816774e-08, +1.884632008e-07, +3.258199325e-04 diff --git a/test/examples/ref/rings/surface-F.csv b/test/examples/ref/rings/surface-F.csv index 12bb6c699..361143f46 100644 --- a/test/examples/ref/rings/surface-F.csv +++ b/test/examples/ref/rings/surface-F.csv @@ -1,3 +1,3 @@ i, Φ_mag[1] (Wb), Φ_mag[2] (Wb) - 1.000000000e+00, +2.195254774e-12, +9.737831660e-14 - 2.000000000e+00, +1.007534398e-13, +3.673714201e-11 + 1.000000000e+00, +2.195890052e-12, +9.732990925e-14 + 2.000000000e+00, +1.007568352e-13, +3.674387862e-11 diff --git a/test/examples/ref/rings/terminal-M.csv b/test/examples/ref/rings/terminal-M.csv index 5da2486db..d8f859e8a 100644 --- a/test/examples/ref/rings/terminal-M.csv +++ b/test/examples/ref/rings/terminal-M.csv @@ -1,3 +1,3 @@ i, M[i][1] (H), M[i][2] (H) - 1.000000000e+00, +4.271874130e-11, +1.959879250e-12 - 2.000000000e+00, +1.959879250e-12, +7.131301882e-10 + 1.000000000e+00, +4.273628334e-11, +1.959974294e-12 + 2.000000000e+00, +1.959974294e-12, +7.132650739e-10 diff --git a/test/examples/ref/rings/terminal-Minv.csv b/test/examples/ref/rings/terminal-Minv.csv index 4e3bd4bab..f3d66187c 100644 --- a/test/examples/ref/rings/terminal-Minv.csv +++ b/test/examples/ref/rings/terminal-Minv.csv @@ -1,3 +1,3 @@ i, M⁻¹[i][1] (1/H), M⁻¹[i][2] (1/H) - 1.000000000e+00, +2.341188136e+10, -6.434233361e+07 - 2.000000000e+00, -6.434233361e+07, +1.402445332e+09 + 1.000000000e+00, +2.340226996e+10, -6.430687442e+07 + 2.000000000e+00, -6.430687442e+07, +1.402180026e+09 diff --git a/test/examples/ref/rings/terminal-Mm.csv b/test/examples/ref/rings/terminal-Mm.csv index e83ddd3ad..00d300eb7 100644 --- a/test/examples/ref/rings/terminal-Mm.csv +++ b/test/examples/ref/rings/terminal-Mm.csv @@ -1,3 +1,3 @@ i, M_m[i][1] (H), M_m[i][2] (H) - 1.000000000e+00, +4.467862055e-11, -1.959879250e-12 - 2.000000000e+00, -1.959879250e-12, +7.150900674e-10 + 1.000000000e+00, +4.469625763e-11, -1.959974294e-12 + 2.000000000e+00, -1.959974294e-12, +7.152250482e-10 From 4f99688cf0d7f7c0747ed8dbdd285fd15af66f51 Mon Sep 17 00:00:00 2001 From: Hugh Carson Date: Fri, 19 Jul 2024 10:27:21 -0400 Subject: [PATCH 23/24] Minor fixes --- palace/fem/coefficient.hpp | 21 +++++++++------------ palace/utils/geodata.cpp | 14 ++++++-------- 2 files changed, 15 insertions(+), 20 deletions(-) diff --git a/palace/fem/coefficient.hpp b/palace/fem/coefficient.hpp index 6ee5a2f70..a93fe62ad 100644 --- a/palace/fem/coefficient.hpp +++ b/palace/fem/coefficient.hpp @@ -358,7 +358,7 @@ template <> inline double InterfaceDielectricCoefficient::Eval( mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { - // Get single-sided solution. + // Get single-sided solution. Don't use lightspeed detection for differentiating side. auto GetLocalVectorValueDefault = [this](const mfem::ParGridFunction &U, mfem::Vector &V) { U.GetVectorValue(*FET.Elem1, FET.Elem1->GetIntPoint(), V); @@ -390,7 +390,7 @@ template <> inline double InterfaceDielectricCoefficient::Eval( mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { - // Get single-sided solution on air side and neighboring element attribute. + // Get single-sided solution on air (vacuum) side and neighboring element attribute. double V_data[3], normal_data[3]; mfem::Vector V(V_data, T.GetSpaceDim()), normal(normal_data, T.GetSpaceDim()); Initialize(T, ip, &normal); @@ -479,8 +479,8 @@ enum class EnergyDensityType }; // Returns the local energy density evaluated as 1/2 Dᴴ E or 1/2 Hᴴ B for real-valued -// material coefficients. For internal boundary elements, the solution is taken on the side -// of the element with the larger-valued speed of light. +// material coefficients. For internal boundary elements, the solution is averaged across +// the interface. template class EnergyDensityCoefficient : public mfem::Coefficient, public BdrGridFunctionCoefficient { @@ -559,8 +559,7 @@ inline double EnergyDensityCoefficient::GetLocalEne } // Compute time-averaged Poynting vector Re{E x H⋆}, without the typical factor of 1/2. For -// internal boundary elements, the solution is taken on the side of the element with the -// larger-valued speed of light. +// internal boundary elements, the solution is taken as the average. class PoyntingVectorCoefficient : public mfem::VectorCoefficient, public BdrGridFunctionCoefficient { @@ -624,8 +623,7 @@ class PoyntingVectorCoefficient : public mfem::VectorCoefficient, }; // Returns the local vector field evaluated on a boundary element. For internal boundary -// elements, the solution is taken on the side of the element with the larger-valued speed -// of light. +// elements the solution is the average. class BdrFieldVectorCoefficient : public mfem::VectorCoefficient, public BdrGridFunctionCoefficient { @@ -648,7 +646,7 @@ class BdrFieldVectorCoefficient : public mfem::VectorCoefficient, "Unexpected element type in BdrFieldVectorCoefficient!"); GetBdrElementNeighborTransformations(T.ElementNo, ip); - // For interior faces, compute the value on the desired side. + // For interior faces, compute the average. U.GetVectorValue(*FET.Elem1, FET.Elem1->GetIntPoint(), V); if (FET.Elem2) { @@ -661,8 +659,7 @@ class BdrFieldVectorCoefficient : public mfem::VectorCoefficient, }; // Returns the local scalar field evaluated on a boundary element. For internal boundary -// elements, the solution is taken on the side of the element with the larger-valued speed -// of light. +// elements the solution is the average. class BdrFieldCoefficient : public mfem::Coefficient, public BdrGridFunctionCoefficient { private: @@ -681,7 +678,7 @@ class BdrFieldCoefficient : public mfem::Coefficient, public BdrGridFunctionCoef "Unexpected element type in BdrFieldCoefficient!"); GetBdrElementNeighborTransformations(T.ElementNo, ip); - // For interior faces, compute the value on the desired side. + // For interior faces, compute the average. if (FET.Elem2) { return 0.5 * (U.GetValue(*FET.Elem1, FET.Elem1->GetIntPoint()), diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 71d0b2a1f..e0b2f6275 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -632,12 +632,8 @@ bool CheckRefinementFlags(const mfem::Mesh &mesh) if (const auto *pmesh = dynamic_cast(&mesh)) { Mpi::GlobalAnd(1, &marked, pmesh->GetComm()); - return marked; - } - else - { - return marked; } + return marked; } void AttrToMarker(int max_attr, const int *attr_list, int attr_list_size, @@ -2365,7 +2361,8 @@ class EdgeRefinementMesh : public mfem::Mesh // for the first refinement. We hack this marking here in order to prioritize refinement // of edges which are part of internal boundary faces being marked for refinement. This // should hopefully limit the amount of extra refinement required to ensure conformity - // after the marked elements are refined. + // after the marked elements are refined. Marking will then discover only the longest + // edges, which are those within the boundary to be cracked. mfem::Array lengths; GetEdgeLengths2(v_to_v, lengths); const auto min_length = 0.01 * lengths.Min(); @@ -2629,6 +2626,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, ++it; } } + // Static reporting variables so can persist across retries. static int new_ne_ref = 0; static int new_ref_its = 0; if (!coarse_crack_edge_to_be.empty()) @@ -2807,7 +2805,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, } } - // Renumber the domain elements. + // Renumber the duplicated vertex in the domain elements. for (const auto &[orig_v, vert_components] : crack_vert_duplicates) { if (vert_components.empty()) @@ -3009,7 +3007,7 @@ int AddInterfaceBdrElements(std::unique_ptr &orig_mesh, nodes ? nodes->FESpace()->GetOrdering() : mfem::Ordering::byNODES; int sdim = new_mesh->SpaceDimension(); int nv = nodes ? nodes->Size() / sdim : new_mesh->GetNV(); - auto Index = [&](int v, int d) + auto Index = [ordering, sdim, nv](int v, int d) { return (ordering == mfem::Ordering::byVDIM) ? sdim * v + d : d * nv + v; }; mfem::Vector normal(sdim); mfem::IsoparametricTransformation T; From 508e4e7cefd351137e0a61b48965e6f1525ac0ea Mon Sep 17 00:00:00 2001 From: Hugh Carson Date: Mon, 12 Aug 2024 14:37:03 -0400 Subject: [PATCH 24/24] Update CHANGELOG.md --- CHANGELOG.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/CHANGELOG.md b/CHANGELOG.md index 600a50b9e..a4ec4d929 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -25,6 +25,11 @@ The format of this changelog is based on - Added `"MakeSimplex"` and `"MakeHexahedral"` mesh options to convert an input mesh to all tetrahedra or all hexahedra. Also adds `"SerialUniformLevels"` option to `config["Model"]["Refinement"]` for testing or debugging. + - Added `config["Model"]["CrackInternalBoundaryElements"]` which will separate or "crack" the mesh + along all internal boundaries. This improves the performance of error estimation and AMR + as the recovered smooth fields do not enforce additional erroneous continuity at + internal boundaries. This will change the default behaviour in the case of internal + impedance boundary conditions, and can be disabled by setting this option to false. ## [0.13.0] - 2024-05-20