"""
Test continuity along a boundary with hanging nodes due to a mesh refinement.
"""
import os.path as op
import numpy as nm
import pytest
from sfepy.base.base import assert_, Struct
import sfepy.base.testing as tst
[docs]def eval_fun(ts, coors, mode, **kwargs):
val = nm.sin(nm.sum(coors**2, axis=1) * nm.pi)
val = val.reshape((coors.shape[0], 1, 1))
return val
def _gen_lines_2_4(bbox, eps):
from sfepy.discrete.probes import LineProbe
LineProbe.__base__.cache = Struct(name='probe_shared_evaluate_cache')
n_point = 100
line0 = LineProbe([bbox[0, 0], -eps], [bbox[1, 0], -eps], n_point)
line1 = LineProbe([bbox[0, 0], eps], [bbox[1, 0], eps], n_point)
yield line0, line1
line0 = LineProbe([-eps, bbox[0, 1]], [-eps, bbox[1, 1]], n_point)
line1 = LineProbe([eps, bbox[0, 1]], [eps, bbox[1, 1]], n_point)
yield line0, line1
def _gen_grid_3_8(bbox, eps):
from sfepy.discrete.probes import PointsProbe
PointsProbe.__base__.cache = Struct(name='probe_shared_evaluate_cache')
n_point = 100
px = nm.linspace(bbox[0, 0], bbox[1, 0], n_point)
py = nm.linspace(bbox[0, 1], bbox[1, 1], n_point)
pz = nm.linspace(bbox[0, 2], bbox[1, 2], n_point)
# Test face substitutions.
pps = nm.meshgrid(px, py, -eps)
points0 = nm.array([ii.ravel() for ii in pps]).T
pps = nm.meshgrid(px, py, eps)
points1 = nm.array([ii.ravel() for ii in pps]).T
grid0 = PointsProbe(points0)
grid1 = PointsProbe(points1)
yield grid0, grid1
pps = nm.meshgrid(px, -eps, pz)
points0 = nm.array([ii.ravel() for ii in pps]).T
pps = nm.meshgrid(px, eps, pz)
points1 = nm.array([ii.ravel() for ii in pps]).T
grid0 = PointsProbe(points0)
grid1 = PointsProbe(points1)
yield grid0, grid1
pps = nm.meshgrid(-eps, py, pz)
points0 = nm.array([ii.ravel() for ii in pps]).T
pps = nm.meshgrid(eps, py, pz)
points1 = nm.array([ii.ravel() for ii in pps]).T
grid0 = PointsProbe(points0)
grid1 = PointsProbe(points1)
yield grid0, grid1
# Test edge substitutions.
pps = nm.meshgrid(px, -eps, -eps)
points0 = nm.array([ii.ravel() for ii in pps]).T
pps = nm.meshgrid(px, eps, eps)
points1 = nm.array([ii.ravel() for ii in pps]).T
grid0 = PointsProbe(points0)
grid1 = PointsProbe(points1)
yield grid0, grid1
pps = nm.meshgrid(-eps, py, -eps)
points0 = nm.array([ii.ravel() for ii in pps]).T
pps = nm.meshgrid(eps, py, eps)
points1 = nm.array([ii.ravel() for ii in pps]).T
grid0 = PointsProbe(points0)
grid1 = PointsProbe(points1)
yield grid0, grid1
pps = nm.meshgrid(-eps, -eps, pz)
points0 = nm.array([ii.ravel() for ii in pps]).T
pps = nm.meshgrid(eps, eps, pz)
points1 = nm.array([ii.ravel() for ii in pps]).T
grid0 = PointsProbe(points0)
grid1 = PointsProbe(points1)
yield grid0, grid1
def _build_filenames(output_dir, key, order, ip):
return [op.join(output_dir,
'test_refine_hanging_lin_%s_%d_%d.vtk' % (key, order, ip)),
op.join(output_dir,
'test_refine_hanging_%s_%d_%d.vtk' % (key, order, ip))]
[docs]@pytest.fixture(scope='module')
def gels():
from sfepy.discrete.fem.geometry_element import GeometryElement
gels = {}
for key in ['2_4', '3_8']:
gel = GeometryElement(key)
gel.create_surface_facet()
gels[key] = gel
return gels
[docs]@pytest.mark.slow
def test_continuity(gels, output_dir):
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, gel in gels.items():
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):
tst.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
tst.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(output_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)
assert_(ok)
[docs]def test_preserve_coarse_entities(output_dir):
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(output_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(output_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()
tst.report('coarse cells positions preserved:', ok)
cgs0 = cmesh0.cell_groups[ii]
cgs1 = cmesh1.cell_groups[ii]
_ok = (cgs0 == cgs1).all()
tst.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()
tst.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()
tst.report('refined cells cell groups preserved:', _ok)
ok = ok and _ok
assert_(ok)