cells = topologies[gmsh_cell_id]["topology"]
cell_data = topologies[gmsh_cell_id]["cell_data"]
num_nodes = MPI.COMM_WORLD.bcast(cells.shape[1], root=0)
gmsh_facet_id = model.mesh.getElementType("triangle", 1)
marked_facets = topologies[gmsh_facet_id]["topology"]
facet_values = topologies[gmsh_facet_id]["cell_data"]
else:
gmsh_cell_id = MPI.COMM_WORLD.bcast(None, root=0)
num_nodes = MPI.COMM_WORLD.bcast(None, root=0)
cells, x = np.empty([0, num_nodes]), np.empty([0, 3])
marked_facets, facet_values = np.empty((0, 3)), np.empty((0, ))
mesh = create_mesh(MPI.COMM_WORLD, cells, x,
ufl_mesh_from_gmsh(gmsh_cell_id, 3))
mesh.name = "ball_d1"
local_entities, local_values = extract_local_entities(mesh, 2, marked_facets,
facet_values)
mesh.topology.create_connectivity(2, 0)
mt = create_meshtags(mesh, 2, cpp.graph.AdjacencyList_int32(local_entities),
np.int32(local_values))
mt.name = "ball_d1_surface"
with XDMFFile(MPI.COMM_WORLD, "mesh.xdmf", "w") as file:
file.write_mesh(mesh)
mesh.topology.create_connectivity(2, 3)
file.write_meshtags(
mt, geometry_xpath="/Xdmf/Domain/Grid[@Name='ball_d1']/Geometry")
# Create a distributed (parallel) mesh with quadratic geometry.
# Generate mesh on rank 0, then build a distributed mesh. ::
def gmsh_model_to_mesh(model, cell_data=False, facet_data=False, gdim=None):
"""
Given a GMSH model, create a DOLFIN-X mesh and MeshTags.
model: The GMSH model
cell_data: Boolean, True of a mesh tag for cell data should be returned
(Default: False)
facet_data: Boolean, True if a mesh tag for facet data should be
returned (Default: False)
gdim: Geometrical dimension of problem (Default: 3)
"""
if gdim is None:
gdim = 3
if MPI.COMM_WORLD.rank == 0:
# Get mesh geometry
x = extract_gmsh_geometry(model)
# Get mesh topology for each element
topologies = extract_gmsh_topology_and_markers(model)
# Get information about each cell type from the msh files
num_cell_types = len(topologies.keys())
cell_information = {}
cell_dimensions = numpy.zeros(num_cell_types, dtype=numpy.int32)
for i, element in enumerate(topologies.keys()):
properties = model.mesh.getElementProperties(element)
name, dim, order, num_nodes, local_coords, _ = properties
cell_information[i] = {"id": element, "dim": dim,
"num_nodes": num_nodes}
cell_dimensions[i] = dim
# Sort elements by ascending dimension
perm_sort = numpy.argsort(cell_dimensions)
# Broadcast cell type data and geometric dimension
cell_id = cell_information[perm_sort[-1]]["id"]
tdim = cell_information[perm_sort[-1]]["dim"]
num_nodes = cell_information[perm_sort[-1]]["num_nodes"]
cell_id, num_nodes = MPI.COMM_WORLD.bcast([cell_id, num_nodes], root=0)
# Check for facet data and broadcast if found
if facet_data:
if tdim - 1 in cell_dimensions:
num_facet_nodes = MPI.COMM_WORLD.bcast(
cell_information[perm_sort[-2]]["num_nodes"], root=0)
gmsh_facet_id = cell_information[perm_sort[-2]]["id"]
marked_facets = numpy.asarray(topologies[gmsh_facet_id]["topology"], dtype=numpy.int64)
facet_values = numpy.asarray(topologies[gmsh_facet_id]["cell_data"], dtype=numpy.int32)
else:
raise ValueError("No facet data found in file.")
cells = numpy.asarray(topologies[cell_id]["topology"], dtype=numpy.int64)
cell_values = numpy.asarray(topologies[cell_id]["cell_data"], dtype=numpy.int32)
else:
cell_id, num_nodes = MPI.COMM_WORLD.bcast([None, None], root=0)
cells, x = numpy.empty([0, num_nodes], dtype=numpy.int32), numpy.empty([0, gdim])
cell_values = numpy.empty((0,), dtype=numpy.int32)
if facet_data:
num_facet_nodes = MPI.COMM_WORLD.bcast(None, root=0)
marked_facets = numpy.empty((0, num_facet_nodes), dtype=numpy.int32)
facet_values = numpy.empty((0,), dtype=numpy.int32)
# Create distributed mesh
ufl_domain = ufl_mesh_from_gmsh(cell_id, gdim)
gmsh_cell_perm = perm_gmsh(to_type(str(ufl_domain.ufl_cell())), num_nodes)
cells = cells[:, gmsh_cell_perm]
mesh = create_mesh(MPI.COMM_WORLD, cells, x[:, :gdim], ufl_domain)
# Create MeshTags for cells
if cell_data:
local_entities, local_values = extract_local_entities(
mesh, mesh.topology.dim, cells, cell_values)
mesh.topology.create_connectivity(mesh.topology.dim, 0)
adj = AdjacencyList_int32(local_entities)
ct = create_meshtags(mesh, mesh.topology.dim,
adj, numpy.int32(local_values))
ct.name = "Cell tags"
# Create MeshTags for facets
if facet_data:
# Permute facets from MSH to Dolfin-X ordering
facet_type = cell_entity_type(to_type(str(ufl_domain.ufl_cell())),
mesh.topology.dim - 1)
gmsh_facet_perm = perm_gmsh(facet_type, num_facet_nodes)
marked_facets = marked_facets[:, gmsh_facet_perm]
local_entities, local_values = extract_local_entities(
mesh, mesh.topology.dim - 1, marked_facets, facet_values)
mesh.topology.create_connectivity(
mesh.topology.dim - 1, mesh.topology.dim)
adj = AdjacencyList_int32(local_entities)
ft = create_meshtags(mesh, mesh.topology.dim - 1,
adj, numpy.int32(local_values))
ft.name = "Facet tags"
if cell_data and facet_data:
return mesh, ct, ft
elif cell_data and not facet_data:
return mesh, ct
elif not cell_data and facet_data:
return mesh, ft
else:
return mesh
def gmsh_to_dolfin(gmsh_model,
tdim: int,
comm=MPI.COMM_WORLD,
prune_y=False,
prune_z=False):
"""Converts a gmsh model object into `dolfinx.Mesh` and `dolfinx.MeshTags`
for physical tags.
Parameters
----------
gmsh_model
tdim
Topological dimension of the mesh
comm: optional
ghost_mode: optional
prune_y: optional
Prune y-components. Used to embed a flat geometries into lower dimension.
prune_z: optional
Prune z-components. Used to embed a flat geometries into lower dimension.
Note
----
User must call `geo.synchronize()` and `mesh.generate()` before passing the model into
this method.
"""
rank = comm.rank
logger = logging.getLogger("dolfiny")
if rank == 0:
# Map from internal gmsh cell type number to gmsh cell name
# see https://gitlab.onelab.info/gmsh/gmsh/blob/master/Common/GmshDefines.h#L75
gmsh_cellname = {
1: 'line',
2: 'triangle',
3: "quad",
4: 'tetra',
5: "hexahedron",
8: 'line3',
9: 'triangle6',
10: "quad9",
11: 'tetra10',
12: 'hexahedron27',
15: 'vertex',
21: 'triangle10',
26: 'line4',
29: 'tetra20',
36: 'quad16',
# 92: 'hexahedron64',
}
gmsh_dolfin = {
"vertex": (CellType.point, 0),
"line": (CellType.interval, 1),
"line3": (CellType.interval, 2),
"line4": (CellType.interval, 3),
"triangle": (CellType.triangle, 1),
"triangle6": (CellType.triangle, 2),
"triangle10": (CellType.triangle, 3),
"quad": (CellType.quadrilateral, 1),
"quad9": (CellType.quadrilateral, 2),
"quad16": (CellType.quadrilateral, 3),
"tetra": (CellType.tetrahedron, 1),
"tetra10": (CellType.tetrahedron, 2),
"tetra20": (CellType.tetrahedron, 3),
"hexahedron": (CellType.hexahedron, 1),
"hexahedron27": (CellType.hexahedron, 2),
# "hexahedron64": (CellType.hexahedron, 3),
}
# Number of nodes for gmsh cell type
nodes = {
'vertex': 1,
'line': 2,
'line3': 3,
'line4': 4,
'triangle': 3,
'triangle6': 6,
'triangle10': 10,
'tetra': 4,
'tetra10': 10,
'tetra20': 20,
'quad': 4,
'quad9': 9,
'quad16': 16,
'hexahedron': 8,
'hexahedron27': 27,
# 'hexahedron64': 64,
}
# node_tags, coord, param_coords = gmsh_model.mesh.getNodes()
# FIXME: This silences the RuntimeWarning (ctypes / PEP3118 format string) caused by Gmsh/numpy
import warnings
with warnings.catch_warnings():
warnings.simplefilter("ignore", RuntimeWarning)
node_tags, coord, param_coords = gmsh_model.mesh.getNodes()
# Fetch elements for the mesh
cell_types, cell_tags, cell_node_tags = gmsh_model.mesh.getElements(
dim=tdim)
unused_nodes = numpy.setdiff1d(node_tags, cell_node_tags)
unused_nodes_indices = []
# FIXME: This would be expensive for many unused nodes case
for unused_node in unused_nodes:
unused_nodes_indices.append(
numpy.where(node_tags == unused_node)[0])
unused_nodes_indices = numpy.asarray(unused_nodes_indices)
# Every node has 3 components in gmsh
dim = 3
points = numpy.reshape(coord, (-1, dim))
# Delete unreferenced nodes
points = numpy.delete(points, unused_nodes_indices, axis=0)
node_tags = numpy.delete(node_tags, unused_nodes_indices)
# Prepare a map from node tag to index in coords array
nmap = numpy.argsort(node_tags - 1)
cells = {}
if len(cell_types) > 1:
raise RuntimeError("Mixed topology meshes not supported.")
try:
cellname = gmsh_cellname[cell_types[0]]
except KeyError:
raise RuntimeError(
f"Gmsh cell code {cell_types[0]:d} not supported.")
try:
num_nodes = nodes[cellname]
except KeyError:
raise RuntimeError(
f"Cannot determine number of nodes for Gmsh cell type \"{cellname:s}\"."
)
logger.info(f"Processing mesh of gmsh cell name \"{cellname:s}\"")
# Shift 1-based numbering and apply node map
cells[cellname] = nmap[cell_node_tags[0] - 1]
cells[cellname] = numpy.reshape(cells[cellname], (-1, num_nodes))
if prune_z:
if not numpy.allclose(points[:, 2], 0.0):
raise RuntimeError("Non-zero z-component would be pruned.")
points = points[:, :-1]
if prune_y:
if not numpy.allclose(points[:, 1], 0.0):
raise RuntimeError("Non-zero y-component would be pruned.")
if prune_z:
# In the case we already pruned z-component
points = points[:, 0]
else:
points = points[:, [0, 2]]
try:
dolfin_cell_type, order = gmsh_dolfin[cellname]
except KeyError:
raise RuntimeError(
f"Cannot determine dolfin cell type for Gmsh cell type \"{cellname:s}\"."
)
perm = cpp.io.perm_gmsh(dolfin_cell_type, num_nodes)
logger.info(f"Mesh will be permuted with {perm}")
cells = cells[cellname][:, perm]
logger.info(
f"Constructing mesh for tdim: {tdim:d}, gdim: {points.shape[1]:d}")
logger.info(f"Number of elements: {cells.shape[0]:d}")
cells_shape, pts_shape, cellname = comm.bcast(
[cells.shape, points.shape, cellname], root=0)
else:
cells_shape, pts_shape, cellname = comm.bcast([None, None, None],
root=0)
cells = numpy.empty((0, cells_shape[1]))
points = numpy.empty((0, pts_shape[1]))
mesh = create_mesh(comm, cells, points,
ufl_mesh_from_gmsh(cellname, pts_shape[1]))
mts = {}
# Get physical groups (dimension, tag)
pgdim_pgtags = comm.bcast(
gmsh_model.getPhysicalGroups() if rank == 0 else None, root=0)
for pgdim, pgtag in pgdim_pgtags:
# For the current physical tag there could be multiple entities
# e.g. user tagged bottom and up boundary part with one physical tag
entity_tags = comm.bcast(gmsh_model.getEntitiesForPhysicalGroup(
pgdim, pgtag) if rank == 0 else None,
root=0)
pg_tag_name = comm.bcast(
gmsh_model.getPhysicalName(pgdim, pgtag) if rank == 0 else None,
root=0)
if pg_tag_name == "":
pg_tag_name = f"tag_{pgtag:d}"
if rank == 0:
_mt_cells = []
_mt_values = []
for i, entity_tag in enumerate(entity_tags):
pgcell_types, pgcell_tags, pgnode_tags = gmsh_model.mesh.getElements(
pgdim, entity_tag)
assert (len(pgcell_types) == 1)
pgcellname = gmsh_cellname[pgcell_types[0]]
pgnum_nodes = nodes[pgcellname]
# Shift 1-based numbering and apply node map
pgnode_tags[0] = nmap[pgnode_tags[0] - 1]
_mt_cells.append(pgnode_tags[0].reshape(-1, pgnum_nodes))
_mt_values.append(
numpy.full(_mt_cells[-1].shape[0],
pgtag,
dtype=numpy.int32))
# Stack all topology and value data. This prepares data
# for one MVC per (dim, physical tag) instead of multiple MVCs
_mt_values = numpy.hstack(_mt_values)
_mt_cells = numpy.vstack(_mt_cells)
# Fetch the permutation needed for physical group
pgdolfin_cell_type, pgorder = gmsh_dolfin[pgcellname]
pgpermutation = cpp.io.perm_gmsh(pgdolfin_cell_type, pgnum_nodes)
_mt_cells[:, :] = _mt_cells[:, pgpermutation]
logger.info(f"Constructing MVC for tdim: {pgdim:d}")
logger.info(f"Number of data values: {_mt_values.shape[0]:d}")
mt_cells_shape, pgdim = comm.bcast([_mt_cells.shape, pgdim],
root=0)
else:
mt_cells_shape, pgdim = comm.bcast([None, None], root=0)
_mt_cells = numpy.empty((0, mt_cells_shape[1]))
_mt_values = numpy.empty((0, ))
local_entities, local_values = extract_local_entities(
mesh, pgdim, _mt_cells, _mt_values)
mesh.topology.create_connectivity(pgdim, 0)
mt = create_meshtags(mesh, pgdim,
cpp.graph.AdjacencyList_int32(local_entities),
numpy.int32(local_values))
mt.name = pg_tag_name
mts[pg_tag_name] = mt
return mesh, mts
# Extract marked facets
marked_entities = pygmsh_mesh.cells[-2].data
values = pygmsh_mesh.cell_data["gmsh:physical"][-2]
# Broadcast cell type data and geometric dimension
num_nodes = MPI.COMM_WORLD.bcast(cells.shape[1], root=0)
else:
num_nodes = MPI.COMM_WORLD.bcast(None, root=0)
cells, x = np.empty([0, num_nodes]), np.empty([0, 3])
marked_entities, values = np.empty((0, 3)), np.empty((0, ))
mesh = create_mesh(MPI.COMM_WORLD, cells, x, ufl_mesh_from_gmsh("tetra", 3))
mesh.name = "ball_d1"
local_entities, local_values = extract_local_entities(mesh, 2, marked_entities,
values)
mesh.topology.create_connectivity(2, 0)
mt = create_meshtags(mesh, 2, cpp.graph.AdjacencyList_int32(local_entities),
np.int32(local_values))
mt.name = "ball_d1_surface"
with XDMFFile(MPI.COMM_WORLD, "mesh.xdmf", "w") as file:
file.write_mesh(mesh)
mesh.topology.create_connectivity(2, 3)
file.write_meshtags(
mt, geometry_xpath="/Xdmf/Domain/Grid[@Name='ball_d1']/Geometry")
# Create a distributed (parallel) mesh with quadratic geometry
# ============================================================
#
