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PKG-INFO
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Metadata-Version: 2.1
Name: meshzoo
Version: 0.7.5
Summary: Collection of explicitly constructed meshes
Home-page: https://github.com/nschloe/meshzoo
Author: Nico Schlömer
Author-email: [email protected]
License: GPL-3.0-or-later
Project-URL: Code, https://github.com/nschloe/meshzoo
Project-URL: Issues, https://github.com/nschloe/meshzoo/issues
Project-URL: Funding, https://github.com/sponsors/nschloe
Platform: UNKNOWN
Classifier: Development Status :: 4 - Beta
Classifier: Intended Audience :: Science/Research
Classifier: License :: OSI Approved :: GNU General Public License v3 or later (GPLv3+)
Classifier: Operating System :: OS Independent
Classifier: Programming Language :: Python
Classifier: Programming Language :: Python :: 3
Classifier: Programming Language :: Python :: 3.6
Classifier: Programming Language :: Python :: 3.7
Classifier: Programming Language :: Python :: 3.8
Classifier: Programming Language :: Python :: 3.9
Classifier: Topic :: Scientific/Engineering
Classifier: Topic :: Scientific/Engineering :: Mathematics
Requires-Python: >=3.6
Description-Content-Type: text/markdown
Provides-Extra: all
Provides-Extra: plot
License-File: LICENSE.txt
# meshzoo
[](https://pypi.org/project/meshzoo/)
[](https://pypi.org/project/meshzoo/)
[](https://github.com/nschloe/meshzoo)
[](https://pypistats.org/packages/meshzoo)
[](https://discord.gg/PBCCvwHqpv)
[](https://github.com/nschloe/meshzoo/actions?query=workflow%3Aci)
[](https://codecov.io/gh/nschloe/meshzoo)
[](https://lgtm.com/projects/g/nschloe/meshzoo)
[](https://github.com/psf/black)
When generating meshes for FEM/FVM computations, sometimes your geometry is so simple
that you don't need a complex mesh generator (like
[pygmsh](https://github.com/nschloe/pygmsh/),
[MeshPy](https://github.com/inducer/meshpy),
[mshr](https://bitbucket.org/fenics-project/mshr),
[pygalmesh](https://github.com/nschloe/pygalmesh/),
[dmsh](https://github.com/nschloe/dmsh/)),
but something simple and fast that makes use of the structure of the domain. Enter
meshzoo.
### Examples
#### Triangle
<img src="https://nschloe.github.io/meshzoo/triangle.svg" width="20%">
```python
import meshzoo
bary, cells = meshzoo.triangle(8)
# corners = numpy.array(
# [
# [0.0, -0.5 * numpy.sqrt(3.0), +0.5 * numpy.sqrt(3.0)],
# [1.0, -0.5, -0.5],
# ]
# )
# points = numpy.dot(corners, bary).T
# Process the mesh, e.g., write it to a file using meshio
# meshio.write_points_cells("triangle.vtk", points, {"triangle": cells})
```
#### Rectangle
<table width="100%">
<tr width="100%">
<td width="50%"><img src="https://nschloe.github.io/meshzoo/rectangle.svg"/></td>
<td width="50%"><img src="https://nschloe.github.io/meshzoo/rectangle-quad.svg"/></td>
</tr>
</table>
```python
import meshzoo
points, cells = meshzoo.rectangle_tri(
(0.0, 0.0),
(1.0, 1.0),
n=11, # or (11, 11)
variant="zigzag", # or "up", "down", "center"
)
points, cells = meshzoo.rectangle_quad((0.0, 0.0), (1.0, 1.0), n=11)
```
#### Regular polygon
| <img src="https://nschloe.github.io/meshzoo/4gon.svg" width="70%"> | <img src="https://nschloe.github.io/meshzoo/6gon.svg" width="70%"> | <img src="https://nschloe.github.io/meshzoo/9gon.svg" width="70%"> |
| :----: | :---: | :---: |
|`meshzoo.ngon(4, 8)` | `meshzoo.ngon(6, 8)` | `meshzoo.ngon(9, 8)` |
```python
import meshzoo
points, cells = meshzoo.ngon(5, 11)
```
#### Disk
| <img src="https://nschloe.github.io/meshzoo/4gon_disk.svg" width="70%"> | <img src="https://nschloe.github.io/meshzoo/6gon_disk.svg" width="70%"> | <img src="https://nschloe.github.io/meshzoo/9gon_disk.svg" width="70%"> |
| :----: | :---: | :---: |
|`meshzoo.disk(4, 8)` | `meshzoo.disk(6, 8)` | `meshzoo.disk(9, 8)` |
The disk meshes are inflations of regular polygons.
```python
import meshzoo
points, cells = meshzoo.disk(6, 11)
points, cells = meshzoo.disk_quad(10)
```
#### Möbius strip
<img src="https://nschloe.github.io/meshzoo/moebius.png" width="20%">
```python
import meshzoo
points, cells = meshzoo.moebius(num_twists=1, nl=60, nw=11)
```
#### Sphere (surface)
| <img src="https://nschloe.github.io/meshzoo/uv_sphere.png" width="80%"> | <img src="https://nschloe.github.io/meshzoo/geo-sphere.png" width="60%"> |
| :----: | :---: |
```python
import meshzoo
points, cells = meshzoo.uv_sphere(num_points_per_circle=20, num_circles=10, radius=1.0)
points, tri, quad = meshzoo.geo_sphere(
num_points_per_circle=20, num_circles=10, radius=1.0
)
```
Spheres can also be generated by refining the faces of [platonic
solids](https://en.wikipedia.org/wiki/Platonic_solid) and then "inflating" them. meshzoo
implements a few of them. The sphere generated from the icosahedron has the
highest-quality (most equilateral) triangles.
All cells are oriented such that its normal points outwards.
| <img src="https://nschloe.github.io/meshzoo/tetra-sphere.png" width="70%"> | <img src="https://nschloe.github.io/meshzoo/octa-sphere.png" width="70%"> | <img src="https://nschloe.github.io/meshzoo/icosa-sphere.png" width="70%"> |
| :----: | :---: | :---: |
|`meshzoo.tetra_sphere(10)` | `meshzoo.octa_sphere(10)` | `meshzoo.icosa_sphere(10)` |
#### Ball (solid)
| <img src="https://nschloe.github.io/meshzoo/ball-tetra.png" width="70%"> | <img src="https://nschloe.github.io/meshzoo/ball-hexa.png" width="70%"> |
| :----: | :---: |
```python
import meshzoo
points, cells = meshzoo.ball_tetra(10)
points, cells = meshzoo.ball_hexa(10)
```
#### Tube
<img src="https://nschloe.github.io/meshzoo/tube.png" width="20%">
```python
import meshzoo
points, cells = meshzoo.tube(length=1.0, radius=1.0, n=30)
```
#### Cube
| <img src="https://nschloe.github.io/meshzoo/cube.png" width="70%"> | <img src="https://nschloe.github.io/meshzoo/cube-hexa.png" width="50%"> |
| :----: | :---: |
```python
import meshzoo
points, cells = meshzoo.cube_tetra((0.0, 0.0, 0.0), (1.0, 1.0, 1.0), n=11)
points, cells = meshzoo.cube_hexa((0.0, 0.0, 0.0), (1.0, 1.0, 1.0), n=11)
```
### Extra, extra
In addition to this, the
[`examples/`](https://github.com/nschloe/meshzoo/tree/main/examples) directory
contains a couple of instructive examples for other mesh generators.
### Installation
meshzoo is [available from the Python Package
Index](https://pypi.org/project/meshzoo/), so simply do
```
pip install meshzoo
```
to install.
### Testing
To run the meshzoo unit tests, check out this repository and run
```
pytest
```
### License
meshzoo is published under the [MIT license](https://en.wikipedia.org/wiki/MIT_License).