def test_entity_volumes(self):
import sfepy
from sfepy.discrete.fem import Mesh, FEDomain
from sfepy.discrete.common import Field
from sfepy.discrete import Integral
mesh = Mesh.from_file('meshes/3d/special/cross3d.mesh',
prefix_dir=sfepy.data_dir)
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
gamma = domain.create_region('Gamma', 'vertices of surface', 'facet')
top = domain.create_region('Top', 'cell 2')
vfield = Field.from_args('v', nm.float64, 'scalar', omega,
approx_order=1)
sfield = Field.from_args('s', nm.float64, 'scalar', gamma,
approx_order=1)
integral = Integral('i', order=3)
vgeo, _ = vfield.get_mapping(omega, integral, 'volume')
domain.create_surface_group(gamma)
sgeo, _ = sfield.get_mapping(gamma, integral, 'surface')
evols = mesh.cmesh.get_volumes(1)
fvols = mesh.cmesh.get_volumes(2) # Approximate for non-planar faces.
cvols = mesh.cmesh.get_volumes(3)
ok = True
_ok = abs(cvols.sum() - vgeo.volume.sum()) < 1e-15
self.report('total cell volume: %s (ok: %s)' % (cvols.sum(), _ok))
ok = _ok and ok
top_evols = nm.array([ 1. , 1. ,
1. , 1. ,
0.7211102550927979, 0.7211102550927979,
0.7211102550927979, 0.7211102550927979,
1.16619037896906 , 1.16619037896906 ,
1.16619037896906 , 1.16619037896906 ])
_ok = nm.allclose(top_evols, evols[top.edges], rtol=0.0, atol=1e-15)
self.report('total top cell edge length: %s (ok: %s)'
% (evols[top.edges].sum(), _ok))
ok = _ok and ok
i1 = [5, 6, 8, 9]
i2 = nm.setdiff1d(nm.arange(len(gamma.faces)), i1)
aux = fvols[gamma.faces] - sgeo.volume.ravel()
_ok = nm.allclose(aux[i1], 0.10560208437556773, rtol=0.0, atol=1e-15)
ok = _ok and ok
self.report('non-planar faces diff: %s (ok: %s)' % (aux[i1], _ok))
_ok = (nm.abs(aux[i2]) < 1e-15).all()
self.report('max. planar faces diff: %s (ok: %s)'
% (nm.abs(aux[i2]).max(), _ok))
ok = _ok and ok
return ok
def test_ref_coors_iga(self):
from sfepy.discrete.iga.domain import IGDomain
domain = IGDomain.from_file(
op.join(sfepy.data_dir, 'meshes/iga/block2d.iga'))
omega = domain.create_region('Omega', 'all')
field = Field.from_args('iga',
nm.float64,
'scalar',
omega,
approx_order='iga',
poly_space_base='iga')
mcoors = field.nurbs.cps
conn = field.get_econn('volume', field.region)
bbox = domain.eval_mesh.get_bounding_box()
ray = nm.linspace(bbox[0, 0], bbox[1, 0], 11)
coors = nm.c_[ray, ray]
ref_coors, cells, status = gi.get_ref_coors(field,
coors,
strategy='general',
close_limit=0.0,
verbose=False)
self.report(ref_coors)
self.report(cells)
self.report(status)
ok = nm.all(status == 0)
ctx = field.create_basis_context()
for ic, cell in enumerate(cells):
ctx.iel = cell
bf = ctx.evaluate(ref_coors[ic:ic + 1])
cell_coors = mcoors[conn[cell]]
coor = nm.dot(bf, cell_coors).ravel()
_ok = nm.allclose(coor, coors[ic], atol=1e-14, rtol=0.0)
if not _ok:
self.report('point %d:' % ic)
self.report(' - wrong reference coordinates %s!' %
ref_coors[ic])
self.report(' - given point: %s' % coors[ic])
self.report(' - found point: %s' % coor)
ok = ok and _ok
return ok
def test_ref_coors_iga(self):
from sfepy.discrete.iga.domain import IGDomain
domain = IGDomain.from_file(op.join(sfepy.data_dir,
'meshes/iga/block2d.iga'))
omega = domain.create_region('Omega', 'all')
field = Field.from_args('iga', nm.float64, 'scalar', omega,
approx_order='iga', poly_space_base='iga')
mcoors = field.nurbs.cps
conn = field.get_econn('volume', field.region)
bbox = domain.eval_mesh.get_bounding_box()
ray = nm.linspace(bbox[0, 0], bbox[1, 0], 11)
coors = nm.c_[ray, ray]
ref_coors, cells, status = gi.get_ref_coors(field, coors,
strategy='general',
close_limit=0.0,
verbose=False)
self.report(ref_coors)
self.report(cells)
self.report(status)
ok = nm.all(status == 0)
ctx = field.create_basis_context()
for ic, cell in enumerate(cells):
ctx.iel = cell
bf = ctx.evaluate(ref_coors[ic:ic+1])
cell_coors = mcoors[conn[cell]]
coor = nm.dot(bf, cell_coors).ravel()
_ok = nm.allclose(coor, coors[ic], atol=1e-14, rtol=0.0)
if not _ok:
self.report('point %d:' % ic)
self.report(' - wrong reference coordinates %s!'
% ref_coors[ic])
self.report(' - given point: %s' % coors[ic])
self.report(' - found point: %s' % coor)
ok = ok and _ok
return ok
def test_entity_volumes(self):
import sfepy
from sfepy.discrete.fem import Mesh, FEDomain
from sfepy.discrete.common import Field
from sfepy.discrete import Integral
mesh = Mesh.from_file('meshes/3d/special/cross3d.mesh',
prefix_dir=sfepy.data_dir)
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
gamma = domain.create_region('Gamma', 'vertices of surface', 'facet')
top = domain.create_region('Top', 'cell 2')
vfield = Field.from_args('v',
nm.float64,
'scalar',
omega,
approx_order=1)
sfield = Field.from_args('s',
nm.float64,
'scalar',
gamma,
approx_order=1)
integral = Integral('i', order=3)
vgeo, _ = vfield.get_mapping(omega, integral, 'volume')
domain.create_surface_group(gamma)
sgeo, _ = sfield.get_mapping(gamma, integral, 'surface')
evols = mesh.cmesh.get_volumes(1)
fvols = mesh.cmesh.get_volumes(2) # Approximate for non-planar faces.
cvols = mesh.cmesh.get_volumes(3)
ok = True
_ok = abs(cvols.sum() - vgeo.volume.sum()) < 1e-15
self.report('total cell volume: %s (ok: %s)' % (cvols.sum(), _ok))
ok = _ok and ok
top_evols = nm.array([
1., 1., 1., 1., 0.7211102550927979, 0.7211102550927979,
0.7211102550927979, 0.7211102550927979, 1.16619037896906,
1.16619037896906, 1.16619037896906, 1.16619037896906
])
_ok = nm.allclose(top_evols, evols[top.edges], rtol=0.0, atol=1e-15)
self.report('total top cell edge length: %s (ok: %s)' %
(evols[top.edges].sum(), _ok))
ok = _ok and ok
i1 = [5, 6, 8, 9]
i2 = nm.setdiff1d(nm.arange(len(gamma.faces)), i1)
aux = fvols[gamma.faces] - sgeo.volume.ravel()
_ok = nm.allclose(aux[i1], 0.10560208437556773, rtol=0.0, atol=1e-15)
ok = _ok and ok
self.report('non-planar faces diff: %s (ok: %s)' % (aux[i1], _ok))
_ok = (nm.abs(aux[i2]) < 1e-15).all()
self.report('max. planar faces diff: %s (ok: %s)' %
(nm.abs(aux[i2]).max(), _ok))
ok = _ok and ok
return ok
def test_ref_coors_fem(self):
from sfepy.discrete.fem import Mesh, FEDomain
mesh = Mesh.from_file('meshes/3d/special/cross3d.mesh',
prefix_dir=sfepy.data_dir)
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field = Field.from_args('linear', nm.float64, 'scalar', omega,
approx_order=1)
mcoors = field.domain.get_mesh_coors()
conn = field.domain.get_conn()
bbox = field.domain.get_mesh_bounding_box()
ray = nm.linspace(bbox[0, 0], bbox[1, 0], 7)
coors = nm.zeros((ray.shape[0], 3), dtype=nm.float64)
def gen_rays():
coors[:, 0] = ray
yield coors
coors.fill(0.0)
coors[:, 1] = ray
yield coors
coors.fill(0.0)
coors[:, 2] = ray
yield coors
ok = True
ctx = field.create_basis_context()._geo_ctx
for ir, coors in enumerate(gen_rays()):
self.report('ray %d' % ir)
ref_coors, cells, status = gi.get_ref_coors(field, coors,
strategy='general',
close_limit=0.0,
verbose=False)
self.report(ref_coors)
self.report(cells)
self.report(status)
# In the distorted cell 2, the Newton method finds a solution
# outside of the cell. This will be fixed when box constraints
# are applied.
_ok = nm.all((status == 0) | ((cells == 2) & (status == 3)))
if not _ok:
self.report('wrong status %s for ray %d!' % (status, ir))
ok = ok and _ok
for ic, cell in enumerate(cells):
ctx.iel = cell
bf = ctx.evaluate(ref_coors[ic:ic+1], check_errors=False)
cell_coors = mcoors[conn[cell]]
coor = nm.dot(bf, cell_coors).ravel()
_ok = nm.allclose(coor, coors[ic], atol=1e-14, rtol=0.0)
if not _ok:
self.report('ray %d point %d:' % (ir, ic))
self.report(' - wrong reference coordinates %s!'
% ref_coors[ic])
self.report(' - given point: %s' % coors[ic])
self.report(' - found point: %s' % coor)
ok = ok and _ok
return ok
def test_ref_coors_fem(self):
from sfepy.discrete.fem import Mesh, FEDomain
mesh = Mesh.from_file('meshes/3d/special/cross3d.mesh',
prefix_dir=sfepy.data_dir)
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field = Field.from_args('linear',
nm.float64,
'scalar',
omega,
approx_order=1)
mcoors = field.domain.get_mesh_coors()
conn = field.domain.get_conn()
bbox = field.domain.get_mesh_bounding_box()
ray = nm.linspace(bbox[0, 0], bbox[1, 0], 7)
coors = nm.zeros((ray.shape[0], 3), dtype=nm.float64)
def gen_rays():
coors[:, 0] = ray
yield coors
coors.fill(0.0)
coors[:, 1] = ray
yield coors
coors.fill(0.0)
coors[:, 2] = ray
yield coors
ok = True
ctx = field.create_basis_context()._geo_ctx
for ir, coors in enumerate(gen_rays()):
self.report('ray %d' % ir)
ref_coors, cells, status = gi.get_ref_coors(field,
coors,
strategy='general',
close_limit=0.0,
verbose=False)
self.report(ref_coors)
self.report(cells)
self.report(status)
# In the distorted cell 2, the Newton method finds a solution
# outside of the cell. This will be fixed when box constraints
# are applied.
_ok = nm.all((status == 0) | ((cells == 2) & (status == 3)))
if not _ok:
self.report('wrong status %s for ray %d!' % (status, ir))
ok = ok and _ok
for ic, cell in enumerate(cells):
ctx.iel = cell
bf = ctx.evaluate(ref_coors[ic:ic + 1], check_errors=False)
cell_coors = mcoors[conn[cell]]
coor = nm.dot(bf, cell_coors).ravel()
_ok = nm.allclose(coor, coors[ic], atol=1e-14, rtol=0.0)
if not _ok:
self.report('ray %d point %d:' % (ir, ic))
self.report(' - wrong reference coordinates %s!' %
ref_coors[ic])
self.report(' - given point: %s' % coors[ic])
self.report(' - found point: %s' % coor)
ok = ok and _ok
return ok