jax_sbgeom.jax_utils.mesh module

mesh_to_pyvista_mesh(pts, conn=None)

Convert a mesh defined by pts and conn to a pyvista mesh

Either pass a tuple (pts, conn) or pts and conn separately.

Parameters:

• pts (jnp.ndarray [N_points, 3]) – Points of the mesh

• conn (jnp.ndarray [N_elements, M] optional) – Connectivity of the mesh (triangles or tetrahedra)

Return type:

pyvista mesh

vertices_to_pyvista_polyline(pts: Array)

Convert a set of points to a pyvista polyline

Parameters:

pts (Array) – Points of the polyline

Return type:

pyvista PolyData line

surface_normals_from_mesh(mesh)

Compute surface normals from triangular mesh

Parameters:

mesh (tuple (pts, conn)) –

ptsjnp.ndarray [N_points, 3]

Points of the mesh

connjnp.ndarray [N_triangles, 3]

Connectivity of the mesh (triangles)

Returns:

Normals at each face of the mesh

Return type:

jnp.ndarray [N_faces, 3]

boundary_normal_vectors_from_tetrahedron(tetrahedron: Array)

Create a boundary vector from tetrahedron

Parameters:

tetrahedron (Array) – Tetrahedron vertex locations

Returns:

boundary – Normal

Return type:

jnp.ndarray […, 4,3]

boundary_centroids_from_tetrahedron(tetrahedron: Array)

Create the centroids of all boundaries from tetrahedron

Parameters:

tetrahedra (jnp.ndarray [..., 4,3]) – Tetrahedron vertex locations

Returns:

centroids – Centroids

Return type:

jnp.ndarray […, 4,3]

volumes_tetrahedra(positions: Array, connectivity: Array)

volume_of_mesh(positions: Array, connectivity: Array)

area_of_mesh(positions: Array, connectivity: Array)

Total area of a triangle mesh (sum of the triangle areas).

Parameters:

• positions (Array) – Vertex positions, shape (n_vertices, 3)

• connectivity (Array) – Triangle vertex indices, shape (n_triangles, 3)

Returns:

Sum of the triangle areas

Return type:

float