diff --git a/src/amr/resources_manager/amr_utils.hpp b/src/amr/resources_manager/amr_utils.hpp
index 4faf3bb39..0efd3f795 100644
--- a/src/amr/resources_manager/amr_utils.hpp
+++ b/src/amr/resources_manager/amr_utils.hpp
@@ -182,7 +182,8 @@ namespace amr
             nbrCell[iDim] = static_cast<std::uint32_t>(domain.numberCells(iDim));
         }
 
-        return GridLayoutT{dl, nbrCell, origin, amr::Box<int, dimension>{domain}};
+        auto lvlNbr = patch.getPatchLevelNumber();
+        return GridLayoutT{dl, nbrCell, origin, amr::Box<int, dimension>{domain}, lvlNbr};
     }
 
     inline auto to_string(SAMRAI::hier::GlobalId const& id)
diff --git a/src/core/data/grid/gridlayout.hpp b/src/core/data/grid/gridlayout.hpp
index 9ab41c674..74297a864 100644
--- a/src/core/data/grid/gridlayout.hpp
+++ b/src/core/data/grid/gridlayout.hpp
@@ -112,7 +112,7 @@ namespace core
         GridLayout(std::array<double, dimension> const& meshSize,
                    std::array<std::uint32_t, dimension> const& nbrCells,
                    Point<double, dimension> const& origin,
-                   Box<int, dimension> AMRBox = Box<int, dimension>{})
+                   Box<int, dimension> AMRBox = Box<int, dimension>{}, int level_number = 0)
             : meshSize_{meshSize}
             , origin_{origin}
             , nbrPhysicalCells_{nbrCells}
@@ -120,6 +120,7 @@ namespace core
             , physicalEndIndexTable_{initPhysicalEnd_()}
             , ghostEndIndexTable_{initGhostEnd_()}
             , AMRBox_{AMRBox}
+            , levelNumber_{level_number}
         {
             if (AMRBox_.isEmpty())
             {
@@ -1170,6 +1171,7 @@ namespace core
             evalOnBox_(field, fn, indices);
         }
 
+        auto levelNumber() const { return levelNumber_; }
 
     private:
         template<typename Field, typename IndicesFn, typename Fn>
@@ -1513,6 +1515,8 @@ namespace core
         // arrays will be accessed with [primal] and [dual] indexes.
         constexpr static std::array<int, 2> nextIndexTable_{{nextPrimal_(), nextDual_()}};
         constexpr static std::array<int, 2> prevIndexTable_{{prevPrimal_(), prevDual_()}};
+
+        int levelNumber_ = 0;
     };
 
 
diff --git a/src/core/numerics/ohm/ohm.hpp b/src/core/numerics/ohm/ohm.hpp
index 8d3c60927..39a27172e 100644
--- a/src/core/numerics/ohm/ohm.hpp
+++ b/src/core/numerics/ohm/ohm.hpp
@@ -365,9 +365,7 @@ class Ohm : public LayoutHolder<GridLayout>
     auto spatial_hyperresistive_(VecField const& J, VecField const& B, Field const& n,
                                  MeshIndex<VecField::dimension> index) const
     { // TODO : https://github.com/PHAREHUB/PHARE/issues/3
-        double const dl2{std::accumulate(std::begin(layout_->meshSize()),
-                                         std::end(layout_->meshSize()), 0.,
-                                         [](double acc, double d) { return acc + d * d; })};
+        auto const lvlCoeff = std::pow(4, layout_->levelNumber());
 
         auto computeHR = [&](auto BxProj, auto ByProj, auto BzProj, auto nProj) {
             auto const BxOnE = GridLayout::project(B(Component::X), index, BxProj);
@@ -375,7 +373,7 @@ class Ohm : public LayoutHolder<GridLayout>
             auto const BzOnE = GridLayout::project(B(Component::Z), index, BzProj);
             auto const nOnE  = GridLayout::project(n, index, nProj);
             auto b           = std::sqrt(BxOnE * BxOnE + ByOnE * ByOnE + BzOnE * BzOnE);
-            return -nu_ * b / nOnE * dl2 * layout_->laplacian(J(component), index);
+            return -nu_ * b / nOnE * lvlCoeff * layout_->laplacian(J(component), index);
         };
 
         if constexpr (component == Component::X)