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# Copyright (C) 2018-2024 Chris N Richardson and Jørgen S. Dokken
# This file is part of DOLFINx (https://www.fenicsproject.org)
#
# SPDX-License-Identifier: LGPL-3.0-or-later
from mpi4py import MPI
import numpy as np
import pytest
from numpy import isclose
import ufl
from dolfinx.cpp.mesh import create_cell_partitioner
from dolfinx.fem import assemble_matrix, form, functionspace
from dolfinx.mesh import (
CellType,
DiagonalType,
GhostMode,
RefinementOption,
compute_incident_entities,
create_unit_cube,
create_unit_square,
locate_entities,
locate_entities_boundary,
meshtags,
refine,
transfer_meshtag,
)
def test_refine_create_unit_square():
"""Refine mesh of unit square."""
mesh = create_unit_square(MPI.COMM_WORLD, 5, 7, ghost_mode=GhostMode.none)
mesh.topology.create_entities(1)
mesh_refined, _, _ = refine(mesh)
assert mesh_refined.topology.index_map(0).size_global == 165
assert mesh_refined.topology.index_map(2).size_global == 280
# Test that 2D refinement is still 2D
assert mesh.geometry.dim == mesh_refined.geometry.dim
@pytest.mark.parametrize("ghost_mode", [GhostMode.none, GhostMode.shared_facet])
@pytest.mark.parametrize("redistribute", [True, False])
def test_refine_create_unit_cube(ghost_mode, redistribute):
"""Refine mesh of unit cube."""
mesh = create_unit_cube(MPI.COMM_WORLD, 5, 7, 9, ghost_mode=ghost_mode)
mesh.topology.create_entities(1)
mesh, _, _ = refine(mesh, partitioner=create_cell_partitioner(ghost_mode))
assert mesh.topology.index_map(0).size_global == 3135
assert mesh.topology.index_map(3).size_global == 15120
Q = functionspace(mesh, ("Lagrange", 1))
assert Q
def test_refine_create_form():
"""Check that forms can be assembled on refined mesh"""
mesh = create_unit_cube(MPI.COMM_WORLD, 3, 3, 3)
mesh.topology.create_entities(1)
mesh, _, _ = refine(mesh)
V = functionspace(mesh, ("Lagrange", 1))
# Define variational problem
u = ufl.TrialFunction(V)
v = ufl.TestFunction(V)
a = form(ufl.inner(ufl.grad(u), ufl.grad(v)) * ufl.dx)
assemble_matrix(a)
def test_sub_refine():
"""Test that refinement of a subset of edges works"""
msh = create_unit_square(
MPI.COMM_WORLD, 3, 4, diagonal=DiagonalType.left, ghost_mode=GhostMode.none
)
msh.topology.create_entities(1)
def left_corner_edge(x, tol=1e-7):
return isclose(x[0], 0) & (x[1] < 1 / 4 + tol)
edges = locate_entities_boundary(msh, 1, left_corner_edge)
if MPI.COMM_WORLD.size == 1:
assert edges == 1
msh1, _, _ = refine(msh, edges)
assert msh.topology.index_map(2).size_global + 3 == msh1.topology.index_map(2).size_global
def test_refine_from_cells():
"""Check user interface for using local cells to define edges"""
Nx, Ny = 8, 3
assert Nx % 2 == 0
msh = create_unit_square(
MPI.COMM_WORLD, Nx, Ny, diagonal=DiagonalType.left, ghost_mode=GhostMode.none
)
msh.topology.create_entities(1)
def left_side(x, tol=1e-16):
return x[0] <= 0.5 + tol
cells = locate_entities(msh, msh.topology.dim, left_side)
if MPI.COMM_WORLD.size == 1:
assert len(cells) == Nx * Ny
edges = compute_incident_entities(msh.topology, cells, 2, 1)
if MPI.COMM_WORLD.size == 1:
assert len(edges) == Nx // 2 * (2 * Ny + 1) + (Nx // 2 + 1) * Ny
mesh2, _, _ = refine(msh, edges)
num_cells_global = mesh2.topology.index_map(2).size_global
actual_cells = 3 * (Nx * Ny) + 3 * Ny + 2 * Nx * Ny
assert num_cells_global == actual_cells
@pytest.mark.parametrize("tdim", [2, 3])
@pytest.mark.parametrize(
"refine_plaza_wrapper",
[
lambda msh: refine(msh, partitioner=None, option=RefinementOption.parent_cell_and_facet),
lambda msh: refine(
msh,
edges=np.arange(msh.topology.index_map(1).size_local),
partitioner=None,
option=RefinementOption.parent_cell_and_facet,
),
],
)
def test_refine_facet_meshtag(tdim, refine_plaza_wrapper):
if tdim == 3:
msh = create_unit_cube(
MPI.COMM_WORLD, 2, 3, 5, CellType.tetrahedron, ghost_mode=GhostMode.none
)
else:
msh = create_unit_square(MPI.COMM_WORLD, 2, 5, CellType.triangle, ghost_mode=GhostMode.none)
msh.topology.create_entities(tdim - 1)
msh.topology.create_connectivity(tdim - 1, tdim)
msh.topology.create_entities(1)
f_to_c = msh.topology.connectivity(tdim - 1, tdim)
facet_indices = []
for f in range(msh.topology.index_map(tdim - 1).size_local):
if len(f_to_c.links(f)) == 1:
facet_indices += [f]
meshtag = meshtags(
msh,
tdim - 1,
np.array(facet_indices, dtype=np.int32),
np.arange(len(facet_indices), dtype=np.int32),
)
msh1, parent_cell, parent_facet = refine_plaza_wrapper(msh)
msh1.topology.create_entities(tdim - 1)
new_meshtag = transfer_meshtag(meshtag, msh1, parent_cell, parent_facet)
assert len(new_meshtag.indices) == (tdim * 2 - 2) * len(meshtag.indices)
# New tags should be on facets with one cell (i.e. exterior)
msh1.topology.create_connectivity(tdim - 1, tdim)
new_f_to_c = msh1.topology.connectivity(tdim - 1, tdim)
for f in new_meshtag.indices:
assert len(new_f_to_c.links(f)) == 1
# Now mark all facets (including internal)
facet_indices = np.arange(msh.topology.index_map(tdim - 1).size_local)
meshtag = meshtags(
msh,
tdim - 1,
np.array(facet_indices, dtype=np.int32),
np.arange(len(facet_indices), dtype=np.int32),
)
new_meshtag = transfer_meshtag(meshtag, msh1, parent_cell, parent_facet)
assert len(new_meshtag.indices) == (tdim * 2 - 2) * len(meshtag.indices)
@pytest.mark.parametrize("tdim", [2, 3])
@pytest.mark.parametrize(
"refine_plaza_wrapper",
[
lambda msh: refine(msh, partitioner=None, option=RefinementOption.parent_cell_and_facet),
lambda msh: refine(
msh,
np.arange(msh.topology.index_map(1).size_local),
partitioner=None,
option=RefinementOption.parent_cell_and_facet,
),
],
)
def test_refine_cell_meshtag(tdim, refine_plaza_wrapper):
if tdim == 3:
msh = create_unit_cube(
MPI.COMM_WORLD, 2, 3, 5, CellType.tetrahedron, ghost_mode=GhostMode.none
)
else:
msh = create_unit_square(MPI.COMM_WORLD, 2, 5, CellType.triangle, ghost_mode=GhostMode.none)
msh.topology.create_entities(1)
cell_indices = np.arange(msh.topology.index_map(tdim).size_local)
meshtag = meshtags(
msh,
tdim,
np.array(cell_indices, dtype=np.int32),
np.arange(len(cell_indices), dtype=np.int32),
)
msh1, parent_cell, _ = refine_plaza_wrapper(msh)
new_meshtag = transfer_meshtag(meshtag, msh1, parent_cell)
assert sum(new_meshtag.values) == (tdim * 4 - 4) * sum(meshtag.values)
assert len(new_meshtag.indices) == (tdim * 4 - 4) * len(meshtag.indices)
def test_refine_ufl_cargo():
msh = create_unit_cube(MPI.COMM_WORLD, 4, 3, 3)
msh.topology.create_entities(1)
msh1, _, _ = refine(msh)
assert msh1.ufl_domain().ufl_cargo() != msh.ufl_domain().ufl_cargo()
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