Class VoroBuild#

Voronoi helper used by mesher.unstructuredmesh.UnstMesh to build the Centroidal Voronoi Tessellation underlying the finite-volume discretisation. Most users do not interact with it directly — _meshStructure() drives it.

class mesher.meshfunc.VoroBuild[source]#

Class for handling triangular meshes.

Attributes:

angles
ce_ratios_per_interior_edge
cell_barycenters
cell_centroids: Computes the centroids (barycenters) of all triangles.
cell_circumcenters
cell_partitions
circumradius
control_volume_centroids
control_volumes
edge_gid_to_edge_list
edge_lengths
edges_cells
face_partitions
inradius
is_boundary_facet
is_boundary_node
is_interior_node
signed_cell_areas: Signed area of a triangle in 2D.
surface_areas
triangle_quality

Methods

`compute_curl`(vector_field)	Computes the curl of a vector field over the mesh.
`create_edges`()	Set up edge-node and edge-cell relations.
`initVoronoi`(nodes, cells[, sort_cells])	Initialization.

mark_boundary

Initialise

initVoronoi(nodes, cells[, sort_cells])

Initialization.

Public Methods

`angles`
`cell_barycenters`
`cell_centroids`	Computes the centroids (barycenters) of all triangles.
`cell_circumcenters`
`cell_partitions`
`ce_ratios_per_interior_edge`
`circumradius`
`compute_curl`(vector_field)	Computes the curl of a vector field over the mesh.
`control_volume_centroids`
`control_volumes`
`create_edges`()	Set up edge-node and edge-cell relations.
`edge_gid_to_edge_list`
`edge_lengths`
`edges_cells`
`face_partitions`
`inradius`
`is_boundary_facet`
`is_boundary_node`
`is_interior_node`
`mark_boundary`()
`signed_cell_areas`	Signed area of a triangle in 2D.
`surface_areas`
`triangle_quality`

Public functions#

VoroBuild.initVoronoi(nodes, cells, sort_cells=False)[source]#: Initialization.

VoroBuild.angles()#

VoroBuild.cell_barycenters()#

VoroBuild.cell_centroids()#: Computes the centroids (barycenters) of all triangles.

VoroBuild.cell_circumcenters()#

VoroBuild.cell_partitions()#

VoroBuild.ce_ratios_per_interior_edge()#

VoroBuild.circumradius()#

VoroBuild.compute_curl(vector_field)[source]#

Computes the curl of a vector field over the mesh. While the vector field is point-based, the curl will be cell-based. The approximation is based on

\[\begin{split}n\cdot curl(F) = \lim_{A\\to 0} |A|^{-1} <\int_{dGamma}, F> dr;\end{split}\]

see <https://en.wikipedia.org/wiki/Curl_(mathematics)>. Actually, to approximate the integral, one would only need the projection of the vector field onto the edges at the midpoint of the edges.

VoroBuild.control_volume_centroids()#

VoroBuild.control_volumes()#

VoroBuild.create_edges()[source]#: Set up edge-node and edge-cell relations.

VoroBuild.edge_gid_to_edge_list()#

VoroBuild.edge_lengths()#

VoroBuild.edges_cells()#

VoroBuild.face_partitions()#

VoroBuild.inradius()#

VoroBuild.is_boundary_facet()#

VoroBuild.is_boundary_node()#

VoroBuild.is_interior_node()#

VoroBuild.mark_boundary()[source]#

VoroBuild.signed_cell_areas()#: Signed area of a triangle in 2D.

VoroBuild.surface_areas()#

VoroBuild.triangle_quality()#