def refine_towards_facet(domain0, grading, axis):
subs = None
domain = domain0
for level, coor in enumerate(grading):
refine = nm.zeros(domain.mesh.n_el, dtype=nm.uint8)
region = domain.create_region('aux',
'vertices in (%s %.10f)' % (axis, coor),
add_to_regions=False)
refine[region.cells] = 1
domain, subs = rh.refine(domain, refine, subs=subs)
return domain, subs
def test_preserve_coarse_entities(self):
from sfepy.mesh.mesh_generators import gen_block_mesh
from sfepy.discrete.fem import FEDomain
import sfepy.discrete.fem.refine_hanging as rh
dims = [1.5, 2.0]
shape = [11, 11]
centre = [0.0, 0.0]
mesh0 = gen_block_mesh(dims, shape, centre, name='block')
domain0 = FEDomain('d', mesh0)
reg = domain0.create_region('surface',
'vertices of surface',
'facet',
add_to_regions=False)
cmesh0 = mesh0.cmesh
cmesh0.vertex_groups[5::11] = 2
cmesh0.vertex_groups[reg.vertices] = 1
cmesh0.cell_groups[0] = 1
cmesh0.cell_groups[50:60] = 2
mesh0.write(op.join(self.options.out_dir,
'test_refine_hanging_ids0.vtk'),
io='auto')
refine = nm.zeros(mesh0.n_el, dtype=nm.uint8)
refine[0:10] = 1
refine[5::10] = 1
domain, _, sub_cells = rh.refine(domain0,
refine,
subs=None,
ret_sub_cells=True)
domain.mesh.write(op.join(self.options.out_dir,
'test_refine_hanging_ids1.vtk'),
io='auto')
cmesh1 = domain.mesh.cmesh
ii = nm.where(refine == 0)[0]
conn0 = mesh0.get_conn('2_4')
v0 = conn0[ii]
conn1 = domain.mesh.get_conn('2_4')
v1 = conn1[ii]
ok = (v0 == v1).all()
self.report('coarse cells positions preserved:', ok)
cgs0 = cmesh0.cell_groups[ii]
cgs1 = cmesh1.cell_groups[ii]
_ok = (cgs0 == cgs1).all()
self.report('coarse cells cell groups preserved:', _ok)
ok = ok and _ok
vgs0 = cmesh0.vertex_groups[v0]
vgs1 = cmesh1.vertex_groups[v1]
_ok = (vgs0 == vgs1).all()
self.report('coarse cells vertex groups preserved:', _ok)
ok = ok and _ok
ii = nm.where(refine == 1)[0]
cgs0 = cmesh0.cell_groups[ii]
cgs1 = cmesh1.cell_groups[sub_cells[:, 1:]]
_ok = (cgs0[:, None] == cgs1).all()
self.report('refined cells cell groups preserved:', _ok)
ok = ok and _ok
return ok
def test_preserve_coarse_entities(self):
from sfepy.mesh.mesh_generators import gen_block_mesh
from sfepy.discrete.fem import FEDomain
import sfepy.discrete.fem.refine_hanging as rh
dims = [1.5, 2.0]
shape = [11, 11]
centre = [0.0, 0.0]
mesh0 = gen_block_mesh(dims, shape, centre, name="block")
domain0 = FEDomain("d", mesh0)
reg = domain0.create_region("surface", "vertices of surface", "facet", add_to_regions=False)
cmesh0 = mesh0.cmesh
cmesh0.vertex_groups[5::11] = 2
cmesh0.vertex_groups[reg.vertices] = 1
cmesh0.cell_groups[0] = 1
cmesh0.cell_groups[50:60] = 2
mesh0.write(op.join(self.options.out_dir, "test_refine_hanging_ids0.vtk"), io="auto")
refine = nm.zeros(mesh0.n_el, dtype=nm.uint8)
refine[0:10] = 1
refine[5::10] = 1
domain, _, sub_cells = rh.refine(domain0, refine, subs=None, ret_sub_cells=True)
domain.mesh.write(op.join(self.options.out_dir, "test_refine_hanging_ids1.vtk"), io="auto")
cmesh1 = domain.mesh.cmesh
ii = nm.where(refine == 0)[0]
conn0 = mesh0.get_conn("2_4")
v0 = conn0[ii]
conn1 = domain.mesh.get_conn("2_4")
v1 = conn1[ii]
ok = (v0 == v1).all()
self.report("coarse cells positions preserved:", ok)
cgs0 = cmesh0.cell_groups[ii]
cgs1 = cmesh1.cell_groups[ii]
_ok = (cgs0 == cgs1).all()
self.report("coarse cells cell groups preserved:", _ok)
ok = ok and _ok
vgs0 = cmesh0.vertex_groups[v0]
vgs1 = cmesh1.vertex_groups[v1]
_ok = (vgs0 == vgs1).all()
self.report("coarse cells vertex groups preserved:", _ok)
ok = ok and _ok
ii = nm.where(refine == 1)[0]
cgs0 = cmesh0.cell_groups[ii]
cgs1 = cmesh1.cell_groups[sub_cells[:, 1:]]
_ok = (cgs0[:, None] == cgs1).all()
self.report("refined cells cell groups preserved:", _ok)
ok = ok and _ok
return ok
def test_continuity(self):
from sfepy.base.base import Struct
from sfepy.mesh.mesh_generators import gen_block_mesh
from sfepy.discrete import FieldVariable
from sfepy.discrete.fem import FEDomain, Field
from sfepy.discrete.projections import make_l2_projection_data
import sfepy.discrete.fem.refine_hanging as rh
dims = [1.5, 2.0, 1.3]
shape = [3, 3, 3]
centre = [0.0, 0.0, 0.0]
probe_gens = {'2_4': _gen_lines_2_4, '3_8': _gen_grid_3_8}
ok = True
for key in self.gel_names:
gel = self.gels[key]
probe_gen = probe_gens[key]
perms = gel.get_conn_permutations()
dim = gel.dim
for io, order in enumerate(range(1, 4)):
mesh00 = gen_block_mesh(dims[:dim],
shape[:dim],
centre[:dim],
name='block')
for ip, perm in enumerate(perms):
self.report(
'geometry: %s, order: %d, permutation: %d: %s' %
(key, order, ip, perm))
mesh0 = mesh00.copy()
conn = mesh0.cmesh.get_conn(dim, 0).indices
conn = conn.reshape((mesh0.n_el, -1))
conn[-1, :] = conn[-1, perm]
domain0 = FEDomain('d', mesh0)
refine = nm.zeros(mesh0.n_el, dtype=nm.uint8)
refine[:-1] = 1
subs = None
domain, subs = rh.refine(domain0, refine, subs=subs)
omega = domain.create_region('Omega', 'all')
field = Field.from_args('fu',
nm.float64,
1,
omega,
approx_order=order)
field.substitute_dofs(subs)
uvar = FieldVariable('u',
'parameter',
field,
primary_var_name='(set-to-None)')
field.restore_dofs(store=True)
field.substitute_dofs(subs=None, restore=True)
make_l2_projection_data(uvar, eval_fun)
field.restore_dofs()
bbox = domain.get_mesh_bounding_box()
eps = 1e-7
save = False
for ii, (probe0, probe1) in enumerate(probe_gen(bbox,
eps)):
probe0.set_options(close_limit=0.0)
probe1.set_options(close_limit=0.0)
pars0, vals0 = probe0(uvar)
pars1, vals1 = probe1(uvar)
assert_(nm.allclose(pars0, pars1, atol=1e-14,
rtol=0.0))
_ok = nm.allclose(vals0,
vals1,
atol=20.0 * eps,
rtol=0.0)
if not _ok:
save = True
self.report('probe %d failed! (max. error: %e)' %
(ii, nm.abs(vals0 - vals1).max()))
ok = ok and _ok
if (ip == 0) or save:
out = uvar.create_output()
filenames = _build_filenames(self.options.out_dir, key,
order, ip)
domain.mesh.write(filenames[0], out=out)
linearization = Struct(kind='adaptive',
min_level=0,
max_level=4,
eps=1e-2)
out = uvar.create_output(linearization=linearization)
val = out['u']
mesh = val.get('mesh', domain.mesh)
mesh.write(filenames[1], out=out)
return ok
def test_continuity(self):
from sfepy.base.base import Struct
from sfepy.mesh.mesh_generators import gen_block_mesh
from sfepy.discrete import FieldVariable
from sfepy.discrete.fem import FEDomain, Field
from sfepy.discrete.projections import make_l2_projection_data
import sfepy.discrete.fem.refine_hanging as rh
dims = [1.5, 2.0, 1.3]
shape = [3, 3, 3]
centre = [0.0, 0.0, 0.0]
probe_gens = {"2_4": _gen_lines_2_4, "3_8": _gen_grid_3_8}
ok = True
for key in self.gel_names:
gel = self.gels[key]
probe_gen = probe_gens[key]
perms = gel.get_conn_permutations()
dim = gel.dim
for io, order in enumerate(range(1, 4)):
mesh00 = gen_block_mesh(dims[:dim], shape[:dim], centre[:dim], name="block")
for ip, perm in enumerate(perms):
self.report("geometry: %s, order: %d, permutation: %d: %s" % (key, order, ip, perm))
mesh0 = mesh00.copy()
conn = mesh0.cmesh.get_conn(dim, 0).indices
conn = conn.reshape((mesh0.n_el, -1))
conn[-1, :] = conn[-1, perm]
domain0 = FEDomain("d", mesh0)
refine = nm.zeros(mesh0.n_el, dtype=nm.uint8)
refine[:-1] = 1
subs = None
domain, subs = rh.refine(domain0, refine, subs=subs)
omega = domain.create_region("Omega", "all")
field = Field.from_args("fu", nm.float64, 1, omega, approx_order=order)
field.substitute_dofs(subs)
uvar = FieldVariable("u", "parameter", field, primary_var_name="(set-to-None)")
field.restore_dofs(store=True)
field.substitute_dofs(subs=None, restore=True)
make_l2_projection_data(uvar, eval_fun)
field.restore_dofs()
bbox = domain.get_mesh_bounding_box()
eps = 1e-7
save = False
for ii, (probe0, probe1) in enumerate(probe_gen(bbox, eps)):
probe0.set_options(close_limit=0.0)
probe1.set_options(close_limit=0.0)
pars0, vals0 = probe0(uvar)
pars1, vals1 = probe1(uvar)
assert_(nm.allclose(pars0, pars1, atol=1e-14, rtol=0.0))
_ok = nm.allclose(vals0, vals1, atol=20.0 * eps, rtol=0.0)
if not _ok:
save = True
self.report("probe %d failed! (max. error: %e)" % (ii, nm.abs(vals0 - vals1).max()))
ok = ok and _ok
if (ip == 0) or save:
out = uvar.create_output()
filenames = _build_filenames(self.options.out_dir, key, order, ip)
domain.mesh.write(filenames[0], out=out)
linearization = Struct(kind="adaptive", min_level=0, max_level=4, eps=1e-2)
out = uvar.create_output(linearization=linearization)
val = out["u"]
mesh = val.get("mesh", domain.mesh)
mesh.write(filenames[1], out=out)
return ok
