CutCells
CutCells cuts the cells of a mesh by one or more level sets phi(x) and
returns the inside, outside and interface pieces with explicit connectivity and
quadrature rules. It is a geometry kernel for unfitted finite element methods
(CutFEM): the C++20 core has no dependencies beyond a compiler, and the Python
interface passes arrays to and from NumPy without copying where the layout
allows.
pip install cutcells
Wheels are published for Linux and macOS. Other platforms build from the source distribution, which needs a C++20 compiler and CMake.
Example
Cut a triangle mesh by a circle and integrate the inside and the interface:
import numpy as np
import cutcells
mesh = cutcells.rectangle_mesh(-1.0, -1.0, 1.0, 1.0, 41, 41, cell_type="triangle")
def phi(X):
# X has shape (gdim, num_points)
return np.sqrt(X[0] ** 2 + X[1] ** 2) - 0.55
level_set = cutcells.create_level_set(mesh, phi, degree=2, name="phi")
result = cutcells.cut(mesh, level_set)
inside = result[level_set < 0]
interface = result[level_set == 0]
print("area ", inside.quadrature(order=4, mode="full").weights.sum())
print("perimeter", interface.quadrature(order=4, mode="cut_only").weights.sum())
Parent cells can be intervals, triangles, quadrilaterals, tetrahedra, hexahedra, prisms and pyramids, with any number of level sets per cell. Level sets are interpolated (any degree) or analytic.
Links
- Documentation and tutorials: https://sclaus2.github.io/CutCells/
- Source, issues and the C++ library: https://github.com/sclaus2/CutCells
- Licence: MIT. Third-party notices for generated VTK-derived tables and Basix-generated quadrature tables ship with the package.
1 maintainer
Metadata
1 maintainer
Release files for cutcells 0.5.0
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Source distribution (sdist)
| File | Size | Uploaded | Provenance | Actions |
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| cutcells-0.5.0.tar.gz | 499.5 kB | With provenance | Details for cutcells-0.5.0.tar.gz |
Built distributions (wheels)
Total release size: 38.2 MB
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