def test_interpolation_two_meshes(self):
from sfepy import data_dir
from sfepy.fem import Mesh, Domain, H1NodalVolumeField, Variables
m1 = Mesh('source mesh', data_dir + '/meshes/3d/block.mesh')
m2 = Mesh('target mesh',
data_dir + '/meshes/3d/cube_medium_tetra.mesh')
m2.coors *= 2.0
bbox = m1.get_bounding_box()
dd = bbox[1, :] - bbox[0, :]
data = nm.sin(4.0 * nm.pi * m1.coors[:,0:1] / dd[0]) \
* nm.cos(4.0 * nm.pi * m1.coors[:,1:2] / dd[1])
variables1 = {
'u': ('unknown field', 'scalar_tp', 0),
'v': ('test field', 'scalar_tp', 'u'),
}
variables2 = {
'u': ('unknown field', 'scalar_si', 0),
'v': ('test field', 'scalar_si', 'u'),
}
d1 = Domain('d1', m1)
omega1 = d1.create_region('Omega', 'all')
field1 = H1NodalVolumeField('scalar_tp',
nm.float64, (1, 1),
omega1,
approx_order=1)
ff1 = {field1.name: field1}
d2 = Domain('d2', m2)
omega2 = d2.create_region('Omega', 'all')
field2 = H1NodalVolumeField('scalar_si',
nm.float64, (1, 1),
omega2,
approx_order=0)
ff2 = {field2.name: field2}
vv1 = Variables.from_conf(transform_variables(variables1), ff1)
u1 = vv1['u']
u1.set_from_mesh_vertices(data)
vv2 = Variables.from_conf(transform_variables(variables2), ff2)
u2 = vv2['u']
# Performs interpolation, if other field differs from self.field
# or, in particular, is defined on a different mesh.
u2.set_from_other(u1, strategy='interpolation', close_limit=0.1)
fname = in_dir(self.options.out_dir)
u1.save_as_mesh(fname('test_mesh_interp_block_scalar.vtk'))
u2.save_as_mesh(fname('test_mesh_interp_cube_scalar.vtk'))
return True
def do_interpolation(m2, m1, data, field_name, force=False):
"""Interpolate data from m1 to m2. """
from sfepy.fem import Domain, H1NodalVolumeField, Variables
fields = {
'scalar_si': ((1, 1), 'Omega', 2),
'vector_si': ((3, 1), 'Omega', 2),
'scalar_tp': ((1, 1), 'Omega', 1),
'vector_tp': ((3, 1), 'Omega', 1),
}
d1 = Domain('d1', m1)
omega1 = d1.create_region('Omega', 'all')
f = fields[field_name]
field1 = H1NodalVolumeField('f',
nm.float64,
f[0],
d1.regions[f[1]],
approx_order=f[2])
ff = {field1.name: field1}
vv = Variables.from_conf(transform_variables(variables), ff)
u1 = vv['u']
u1.set_from_mesh_vertices(data)
d2 = Domain('d2', m2)
omega2 = d2.create_region('Omega', 'all')
field2 = H1NodalVolumeField('f',
nm.float64,
f[0],
d2.regions[f[1]],
approx_order=f[2])
ff2 = {field2.name: field2}
vv2 = Variables.from_conf(transform_variables(variables), ff2)
u2 = vv2['u']
if not force:
# Performs interpolation, if other field differs from self.field
# or, in particular, is defined on a different mesh.
u2.set_from_other(u1, strategy='interpolation', close_limit=0.5)
else:
coors = u2.field.get_coor()
vals = u1.evaluate_at(coors, close_limit=0.5)
u2.set_data(vals)
return u1, u2
def test_interpolation_two_meshes(self):
from sfepy import data_dir
from sfepy.fem import Mesh, Domain, H1NodalVolumeField, Variables
m1 = Mesh('source mesh', data_dir + '/meshes/3d/block.mesh')
m2 = Mesh('target mesh', data_dir + '/meshes/3d/cube_medium_tetra.mesh')
m2.coors *= 2.0
bbox = m1.get_bounding_box()
dd = bbox[1,:] - bbox[0,:]
data = nm.sin(4.0 * nm.pi * m1.coors[:,0:1] / dd[0]) \
* nm.cos(4.0 * nm.pi * m1.coors[:,1:2] / dd[1])
variables1 = {
'u' : ('unknown field', 'scalar_tp', 0),
'v' : ('test field', 'scalar_tp', 'u'),
}
variables2 = {
'u' : ('unknown field', 'scalar_si', 0),
'v' : ('test field', 'scalar_si', 'u'),
}
d1 = Domain('d1', m1)
omega1 = d1.create_region('Omega', 'all')
field1 = H1NodalVolumeField('scalar_tp', nm.float64, (1,1), omega1,
approx_order=1)
ff1 = {field1.name : field1}
d2 = Domain('d2', m2)
omega2 = d2.create_region('Omega', 'all')
field2 = H1NodalVolumeField('scalar_si', nm.float64, (1,1), omega2,
approx_order=0)
ff2 = {field2.name : field2}
vv1 = Variables.from_conf(transform_variables(variables1), ff1)
u1 = vv1['u']
u1.set_from_mesh_vertices(data)
vv2 = Variables.from_conf(transform_variables(variables2), ff2)
u2 = vv2['u']
# Performs interpolation, if other field differs from self.field
# or, in particular, is defined on a different mesh.
u2.set_from_other(u1, strategy='interpolation', close_limit=0.1)
fname = in_dir(self.options.out_dir)
u1.save_as_mesh(fname('test_mesh_interp_block_scalar.vtk'))
u2.save_as_mesh(fname('test_mesh_interp_cube_scalar.vtk'))
return True
def do_interpolation(m2, m1, data, field_name, force=False):
"""Interpolate data from m1 to m2. """
from sfepy.fem import Domain, H1NodalVolumeField, Variables
fields = {
'scalar_si' : ((1,1), 'Omega', 2),
'vector_si' : ((3,1), 'Omega', 2),
'scalar_tp' : ((1,1), 'Omega', 1),
'vector_tp' : ((3,1), 'Omega', 1),
}
d1 = Domain('d1', m1)
omega1 = d1.create_region('Omega', 'all')
f = fields[field_name]
field1 = H1NodalVolumeField('f', nm.float64, f[0], d1.regions[f[1]],
approx_order=f[2])
ff = {field1.name : field1}
vv = Variables.from_conf(transform_variables(variables), ff)
u1 = vv['u']
u1.set_from_mesh_vertices(data)
d2 = Domain('d2', m2)
omega2 = d2.create_region('Omega', 'all')
field2 = H1NodalVolumeField('f', nm.float64, f[0], d2.regions[f[1]],
approx_order=f[2])
ff2 = {field2.name : field2}
vv2 = Variables.from_conf(transform_variables(variables), ff2)
u2 = vv2['u']
if not force:
# Performs interpolation, if other field differs from self.field
# or, in particular, is defined on a different mesh.
u2.set_from_other(u1, strategy='interpolation', close_limit=0.5)
else:
coors = u2.field.get_coor()
vals = u1.evaluate_at(coors, close_limit=0.5)
u2.set_data(vals)
return u1, u2
def test_pbc( self ):
from sfepy.fem import Variables, Conditions
problem = self.problem
conf = self.conf
ebcs = Conditions.from_conf(conf.ebcs, problem.domain.regions)
epbcs = Conditions.from_conf(conf.epbcs, problem.domain.regions)
variables = Variables.from_conf(conf.variables, problem.fields)
variables.equation_mapping(ebcs, epbcs, None, problem.functions)
state = variables.create_state_vector()
variables.apply_ebc(state)
return variables.has_ebc(state)
def test_pbc(self):
from sfepy.fem import Variables, Conditions
problem = self.problem
conf = self.conf
ebcs = Conditions.from_conf(conf.ebcs, problem.domain.regions)
epbcs = Conditions.from_conf(conf.epbcs, problem.domain.regions)
variables = Variables.from_conf(conf.variables, problem.fields)
variables.equation_mapping(ebcs, epbcs, None, problem.functions)
state = variables.create_state_vector()
variables.apply_ebc(state)
return variables.has_ebc(state)
def test_invariance_qp(self):
from sfepy import data_dir
from sfepy.fem import (Mesh, Domain, H1NodalVolumeField, Variables,
Integral)
from sfepy.terms import Term
from sfepy.fem.mappings import get_physical_qps
mesh = Mesh('source mesh', data_dir + '/meshes/3d/block.mesh')
bbox = mesh.get_bounding_box()
dd = bbox[1, :] - bbox[0, :]
data = nm.sin(4.0 * nm.pi * mesh.coors[:,0:1] / dd[0]) \
* nm.cos(4.0 * nm.pi * mesh.coors[:,1:2] / dd[1])
variables = {
'u': ('unknown field', 'scalar_tp', 0),
'v': ('test field', 'scalar_tp', 'u'),
}
domain = Domain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field = H1NodalVolumeField('scalar_tp',
nm.float64,
1,
omega,
approx_order=1)
ff = {field.name: field}
vv = Variables.from_conf(transform_variables(variables), ff)
u = vv['u']
u.set_from_mesh_vertices(data)
integral = Integral('i', order=2)
term = Term.new('ev_volume_integrate(u)', integral, omega, u=u)
term.setup()
val1, _ = term.evaluate(mode='qp')
val1 = val1.ravel()
qps = get_physical_qps(omega, integral)
coors = qps.get_merged_values()
val2 = u.evaluate_at(coors).ravel()
self.report('max. difference:', nm.abs(val1 - val2).max())
ok = nm.allclose(val1, val2, rtol=0.0, atol=1e-12)
self.report('invariance in qp: %s' % ok)
return ok
def test_consistency_d_dw( self ):
from sfepy.fem import Function, Variables
ok = True
pb = self.problem
for aux in test_terms:
term_template, (prefix, par_name, d_vars, dw_vars, mat_mode) = aux
print term_template, prefix, par_name, d_vars, dw_vars, mat_mode
term1 = term_template % ((prefix,) + d_vars)
variables = Variables.from_conf(self.conf.variables, pb.fields)
for var_name in d_vars:
var = variables[var_name]
n_dof = var.field.n_nod * var.field.shape[0]
aux = nm.arange( n_dof, dtype = nm.float64 )
var.data_from_data(aux)
pb.materials['m'].function.set_extra_args(term = mat_mode)
if prefix == 'd':
val1 = pb.evaluate(term1, var_dict=variables.as_dict())
else:
val1 = pb.evaluate(term1, call_mode='d_eval',
var_dict=variables.as_dict())
self.report( '%s: %s' % (term1, val1) )
term2 = term_template % (('dw',) + dw_vars[:2])
vec, vv = pb.evaluate(term2, mode='weak',
var_dict=variables.as_dict(),
ret_variables=True)
pvec = vv.get_state_part_view(vec, dw_vars[2])
val2 = nm.dot( variables[par_name](), pvec )
self.report( '%s: %s' % (term2, val2) )
err = nm.abs( val1 - val2 ) / nm.abs( val1 )
_ok = err < 1e-12
self.report( 'relative difference: %e -> %s' % (err, _ok) )
ok = ok and _ok
return ok
def test_consistency_d_dw(self):
from sfepy.fem import Variables
ok = True
pb = self.problem
for aux in test_terms:
term_template, (prefix, par_name, d_vars, dw_vars) = aux
print term_template, prefix, par_name, d_vars, dw_vars
term1 = term_template % ((prefix, ) + d_vars)
variables = Variables.from_conf(self.conf.variables, pb.fields)
for var_name in d_vars:
var = variables[var_name]
n_dof = var.field.n_nod * var.field.shape[0]
aux = nm.arange(n_dof, dtype=nm.float64)
var.set_data(aux)
if prefix == 'd':
val1 = pb.evaluate(term1, var_dict=variables.as_dict())
else:
val1 = pb.evaluate(term1,
call_mode='d_eval',
var_dict=variables.as_dict())
self.report('%s: %s' % (term1, val1))
term2 = term_template % (('dw', ) + dw_vars[:2])
vec, vv = pb.evaluate(term2,
mode='weak',
var_dict=variables.as_dict(),
ret_variables=True)
pvec = vv.get_state_part_view(vec, dw_vars[2])
val2 = nm.dot(variables[par_name](), pvec)
self.report('%s: %s' % (term2, val2))
err = nm.abs(val1 - val2) / nm.abs(val1)
_ok = err < 1e-12
self.report('relative difference: %e -> %s' % (err, _ok))
ok = ok and _ok
return ok
def test_invariance_qp(self):
from sfepy import data_dir
from sfepy.fem import (Mesh, Domain, H1NodalVolumeField,
Variables, Integral)
from sfepy.terms import Term
from sfepy.fem.mappings import get_physical_qps
mesh = Mesh('source mesh', data_dir + '/meshes/3d/block.mesh')
bbox = mesh.get_bounding_box()
dd = bbox[1,:] - bbox[0,:]
data = nm.sin(4.0 * nm.pi * mesh.coors[:,0:1] / dd[0]) \
* nm.cos(4.0 * nm.pi * mesh.coors[:,1:2] / dd[1])
variables = {
'u' : ('unknown field', 'scalar_tp', 0),
'v' : ('test field', 'scalar_tp', 'u'),
}
domain = Domain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field = H1NodalVolumeField('scalar_tp', nm.float64, 1, omega,
approx_order=1)
ff = {field.name : field}
vv = Variables.from_conf(transform_variables(variables), ff)
u = vv['u']
u.set_from_mesh_vertices(data)
integral = Integral('i', order=2)
term = Term.new('ev_volume_integrate(u)', integral, omega, u=u)
term.setup()
val1, _ = term.evaluate(mode='qp')
val1 = val1.ravel()
qps = get_physical_qps(omega, integral)
coors = qps.get_merged_values()
val2 = u.evaluate_at(coors).ravel()
self.report('max. difference:', nm.abs(val1 - val2).max())
ok = nm.allclose(val1, val2, rtol=0.0, atol=1e-12)
self.report('invariance in qp: %s' % ok)
return ok
def test_consistency_d_dw(self):
from sfepy.fem import Variables
ok = True
pb = self.problem
for aux in test_terms:
term_template, (prefix, par_name, d_vars, dw_vars) = aux
print term_template, prefix, par_name, d_vars, dw_vars
term1 = term_template % ((prefix,) + d_vars)
variables = Variables.from_conf(self.conf.variables, pb.fields)
for var_name in d_vars:
var = variables[var_name]
n_dof = var.field.n_nod * var.field.shape[0]
aux = nm.arange(n_dof, dtype=nm.float64)
var.set_data(aux)
if prefix == "d":
val1 = pb.evaluate(term1, var_dict=variables.as_dict())
else:
val1 = pb.evaluate(term1, call_mode="d_eval", var_dict=variables.as_dict())
self.report("%s: %s" % (term1, val1))
term2 = term_template % (("dw",) + dw_vars[:2])
vec, vv = pb.evaluate(term2, mode="weak", var_dict=variables.as_dict(), ret_variables=True)
pvec = vv.get_state_part_view(vec, dw_vars[2])
val2 = nm.dot(variables[par_name](), pvec)
self.report("%s: %s" % (term2, val2))
err = nm.abs(val1 - val2) / nm.abs(val1)
_ok = err < 1e-12
self.report("relative difference: %e -> %s" % (err, _ok))
ok = ok and _ok
return ok