def poststep_fun(ts, vec):
_poststep_fun(ts, vec)
# Probe the solution.
dvel_qp = ev('ev_diffusion_velocity.%d.Omega(m.diffusivity, T)' %
order,
copy_materials=False,
mode='qp')
project_by_component(dvel,
dvel_qp,
component,
order,
nls_options=nls_options)
all_results = []
for ii, probe in enumerate(probes):
fig, results = probe_results(ii, T, dvel, probe, labels[ii])
all_results.append(results)
plt.tight_layout()
fig.savefig('time_poisson_interactive_probe_%s.png' %
(suffix % ts.step),
bbox_inches='tight')
for ii, results in enumerate(all_results):
output('probe %d (%s):' % (ii, probes[ii].name))
output.level += 2
for key, res in ordered_iteritems(results):
output(key + ':')
val = res[1]
output(' min: %+.2e, mean: %+.2e, max: %+.2e' %
(val.min(), val.mean(), val.max()))
output.level -= 2
def poststep_fun(ts, vec):
_poststep_fun(ts, vec)
# Probe the solution.
dvel_qp = ev('ev_diffusion_velocity.%d.Omega(m.diffusivity, T)'
% order, copy_materials=False, mode='qp')
project_by_component(dvel, dvel_qp, component, order,
nls_options=nls_options)
all_results = []
for ii, probe in enumerate(probes):
fig, results = probe_results(ii, T, dvel, probe, labels[ii])
all_results.append(results)
plt.tight_layout()
fig.savefig('time_poisson_interactive_probe_%s.png'
% (suffix % ts.step), bbox_inches='tight')
for ii, results in enumerate(all_results):
output('probe %d (%s):' % (ii, probes[ii].name))
output.level += 2
for key, res in ordered_iteritems(results):
output(key + ':')
val = res[1]
output(' min: %+.2e, mean: %+.2e, max: %+.2e'
% (val.min(), val.mean(), val.max()))
output.level -= 2
def test_project_tensors(self):
from sfepy.discrete import FieldVariable
from sfepy.discrete.projections import project_by_component
ok = True
u = FieldVariable('u',
'parameter',
self.field,
primary_var_name='(set-to-None)')
u.set_constant(1.0)
component = FieldVariable('component',
'parameter',
self.field,
primary_var_name='(set-to-None)')
nls_options = {'eps_a': 1e-16, 'i_max': 1}
u_qp = u.evaluate()
u2 = FieldVariable('u2',
'parameter',
self.field,
primary_var_name='(set-to-None)')
project_by_component(u2,
u_qp,
component,
self.field.approx_order,
nls_options=nls_options)
_ok = self.compare_vectors(u(), u2())
ok = ok and _ok
gu_qp = u.evaluate(mode='grad')
gfield = Field.from_args('gu',
nm.float64,
2,
self.field.region,
approx_order=self.field.approx_order)
gu = FieldVariable('gu',
'parameter',
gfield,
primary_var_name='(set-to-None)')
project_by_component(gu,
gu_qp,
component,
gfield.approx_order,
nls_options=nls_options)
_ok = self.compare_vectors(gu(), nm.zeros_like(gu()))
ok = ok and _ok
return ok
def test_project_tensors(self):
from sfepy.discrete import FieldVariable
from sfepy.discrete.projections import project_by_component
ok = True
u = FieldVariable('u', 'parameter', self.field,
primary_var_name='(set-to-None)')
u.set_constant(1.0)
component = FieldVariable('component', 'parameter', self.field,
primary_var_name='(set-to-None)')
nls_options = {'eps_a' : 1e-16, 'i_max' : 1}
u_qp = u.evaluate()
u2 = FieldVariable('u2', 'parameter', self.field,
primary_var_name='(set-to-None)')
project_by_component(u2, u_qp, component, self.field.approx_order,
nls_options=nls_options)
_ok = self.compare_vectors(u(), u2())
ok = ok and _ok
gu_qp = u.evaluate(mode='grad')
gfield = Field.from_args('gu', nm.float64, 2, self.field.region,
approx_order=self.field.approx_order)
gu = FieldVariable('gu', 'parameter', gfield,
primary_var_name='(set-to-None)')
project_by_component(gu, gu_qp, component, gfield.approx_order,
nls_options=nls_options)
_ok = self.compare_vectors(gu(), nm.zeros_like(gu()))
ok = ok and _ok
return ok
def main():
from sfepy import data_dir
parser = OptionParser(usage=usage, version='%prog')
parser.add_option('--diffusivity', metavar='float', type=float,
action='store', dest='diffusivity',
default=1e-5, help=helps['diffusivity'])
parser.add_option('--ic-max', metavar='float', type=float,
action='store', dest='ic_max',
default=2.0, help=helps['ic_max'])
parser.add_option('--order', metavar='int', type=int,
action='store', dest='order',
default=2, help=helps['order'])
parser.add_option('-r', '--refine', metavar='int', type=int,
action='store', dest='refine',
default=0, help=helps['refine'])
parser.add_option('-p', '--probe',
action="store_true", dest='probe',
default=False, help=helps['probe'])
parser.add_option('-s', '--show',
action="store_true", dest='show',
default=False, help=helps['show'])
options, args = parser.parse_args()
assert_((0 < options.order),
'temperature approximation order must be at least 1!')
output('using values:')
output(' diffusivity:', options.diffusivity)
output(' max. IC value:', options.ic_max)
output('uniform mesh refinement level:', options.refine)
mesh = Mesh.from_file(data_dir + '/meshes/3d/cylinder.mesh')
domain = FEDomain('domain', mesh)
if options.refine > 0:
for ii in range(options.refine):
output('refine %d...' % ii)
domain = domain.refine()
output('... %d nodes %d elements'
% (domain.shape.n_nod, domain.shape.n_el))
omega = domain.create_region('Omega', 'all')
left = domain.create_region('Left',
'vertices in x < 0.00001', 'facet')
right = domain.create_region('Right',
'vertices in x > 0.099999', 'facet')
field = Field.from_args('fu', nm.float64, 'scalar', omega,
approx_order=options.order)
T = FieldVariable('T', 'unknown', field, history=1)
s = FieldVariable('s', 'test', field, primary_var_name='T')
m = Material('m', diffusivity=options.diffusivity * nm.eye(3))
integral = Integral('i', order=2*options.order)
t1 = Term.new('dw_diffusion(m.diffusivity, s, T)',
integral, omega, m=m, s=s, T=T)
t2 = Term.new('dw_volume_dot(s, dT/dt)',
integral, omega, s=s, T=T)
eq = Equation('balance', t1 + t2)
eqs = Equations([eq])
# Boundary conditions.
ebc1 = EssentialBC('T1', left, {'T.0' : 2.0})
ebc2 = EssentialBC('T2', right, {'T.0' : -2.0})
# Initial conditions.
def get_ic(coors, ic):
x, y, z = coors.T
return 2 - 40.0 * x + options.ic_max * nm.sin(4 * nm.pi * x / 0.1)
ic_fun = Function('ic_fun', get_ic)
ic = InitialCondition('ic', omega, {'T.0' : ic_fun})
ls = ScipyDirect({})
nls_status = IndexedStruct()
nls = Newton({'is_linear' : True}, lin_solver=ls, status=nls_status)
pb = Problem('heat', equations=eqs, nls=nls, ls=ls)
pb.set_bcs(ebcs=Conditions([ebc1, ebc2]))
pb.set_ics(Conditions([ic]))
tss = SimpleTimeSteppingSolver({'t0' : 0.0, 't1' : 100.0, 'n_step' : 11},
problem=pb)
tss.init_time()
if options.probe:
# Prepare probe data.
probes, labels = gen_lines(pb)
ev = pb.evaluate
order = 2 * (options.order - 1)
gfield = Field.from_args('gu', nm.float64, 'vector', omega,
approx_order=options.order - 1)
dvel = FieldVariable('dvel', 'parameter', gfield,
primary_var_name='(set-to-None)')
cfield = Field.from_args('gu', nm.float64, 'scalar', omega,
approx_order=options.order - 1)
component = FieldVariable('component', 'parameter', cfield,
primary_var_name='(set-to-None)')
nls_options = {'eps_a' : 1e-16, 'i_max' : 1}
if options.show:
plt.ion()
# Solve the problem using the time stepping solver.
suffix = tss.ts.suffix
for step, time, state in tss():
if options.probe:
# Probe the solution.
dvel_qp = ev('ev_diffusion_velocity.%d.Omega(m.diffusivity, T)'
% order, copy_materials=False, mode='qp')
project_by_component(dvel, dvel_qp, component, order,
nls_options=nls_options)
all_results = []
for ii, probe in enumerate(probes):
fig, results = probe_results(ii, T, dvel, probe, labels[ii])
all_results.append(results)
plt.tight_layout()
fig.savefig('time_poisson_interactive_probe_%s.png'
% (suffix % step), bbox_inches='tight')
if options.show:
plt.draw()
for ii, results in enumerate(all_results):
output('probe %d (%s):' % (ii, probes[ii].name))
output.level += 2
for key, res in ordered_iteritems(results):
output(key + ':')
val = res[1]
output(' min: %+.2e, mean: %+.2e, max: %+.2e'
% (val.min(), val.mean(), val.max()))
output.level -= 2
def main():
from sfepy import data_dir
parser = OptionParser(usage=usage, version='%prog')
parser.add_option('--diffusivity',
metavar='float',
type=float,
action='store',
dest='diffusivity',
default=1e-5,
help=helps['diffusivity'])
parser.add_option('--ic-max',
metavar='float',
type=float,
action='store',
dest='ic_max',
default=2.0,
help=helps['ic_max'])
parser.add_option('--order',
metavar='int',
type=int,
action='store',
dest='order',
default=2,
help=helps['order'])
parser.add_option('-r',
'--refine',
metavar='int',
type=int,
action='store',
dest='refine',
default=0,
help=helps['refine'])
parser.add_option('-p',
'--probe',
action="store_true",
dest='probe',
default=False,
help=helps['probe'])
parser.add_option('-s',
'--show',
action="store_true",
dest='show',
default=False,
help=helps['show'])
options, args = parser.parse_args()
assert_((0 < options.order),
'temperature approximation order must be at least 1!')
output('using values:')
output(' diffusivity:', options.diffusivity)
output(' max. IC value:', options.ic_max)
output('uniform mesh refinement level:', options.refine)
mesh = Mesh.from_file(data_dir + '/meshes/3d/cylinder.mesh')
domain = FEDomain('domain', mesh)
if options.refine > 0:
for ii in xrange(options.refine):
output('refine %d...' % ii)
domain = domain.refine()
output('... %d nodes %d elements' %
(domain.shape.n_nod, domain.shape.n_el))
omega = domain.create_region('Omega', 'all')
left = domain.create_region('Left', 'vertices in x < 0.00001', 'facet')
right = domain.create_region('Right', 'vertices in x > 0.099999', 'facet')
field = Field.from_args('fu',
nm.float64,
'scalar',
omega,
approx_order=options.order)
T = FieldVariable('T', 'unknown', field, history=1)
s = FieldVariable('s', 'test', field, primary_var_name='T')
m = Material('m', diffusivity=options.diffusivity * nm.eye(3))
integral = Integral('i', order=2 * options.order)
t1 = Term.new('dw_diffusion(m.diffusivity, s, T)',
integral,
omega,
m=m,
s=s,
T=T)
t2 = Term.new('dw_volume_dot(s, dT/dt)', integral, omega, s=s, T=T)
eq = Equation('balance', t1 + t2)
eqs = Equations([eq])
# Boundary conditions.
ebc1 = EssentialBC('T1', left, {'T.0': 2.0})
ebc2 = EssentialBC('T2', right, {'T.0': -2.0})
# Initial conditions.
def get_ic(coors, ic):
x, y, z = coors.T
return 2 - 40.0 * x + options.ic_max * nm.sin(4 * nm.pi * x / 0.1)
ic_fun = Function('ic_fun', get_ic)
ic = InitialCondition('ic', omega, {'T.0': ic_fun})
ls = ScipyDirect({})
nls_status = IndexedStruct()
nls = Newton({'is_linear': True}, lin_solver=ls, status=nls_status)
pb = Problem('heat', equations=eqs, nls=nls, ls=ls)
pb.set_bcs(ebcs=Conditions([ebc1, ebc2]))
pb.set_ics(Conditions([ic]))
tss = SimpleTimeSteppingSolver({
't0': 0.0,
't1': 100.0,
'n_step': 11
},
problem=pb)
tss.init_time()
if options.probe:
# Prepare probe data.
probes, labels = gen_lines(pb)
ev = pb.evaluate
order = 2 * (options.order - 1)
gfield = Field.from_args('gu',
nm.float64,
'vector',
omega,
approx_order=options.order - 1)
dvel = FieldVariable('dvel',
'parameter',
gfield,
primary_var_name='(set-to-None)')
cfield = Field.from_args('gu',
nm.float64,
'scalar',
omega,
approx_order=options.order - 1)
component = FieldVariable('component',
'parameter',
cfield,
primary_var_name='(set-to-None)')
nls_options = {'eps_a': 1e-16, 'i_max': 1}
if options.show:
plt.ion()
# Solve the problem using the time stepping solver.
suffix = tss.ts.suffix
for step, time, state in tss():
if options.probe:
# Probe the solution.
dvel_qp = ev('ev_diffusion_velocity.%d.Omega(m.diffusivity, T)' %
order,
copy_materials=False,
mode='qp')
project_by_component(dvel,
dvel_qp,
component,
order,
nls_options=nls_options)
all_results = []
for ii, probe in enumerate(probes):
fig, results = probe_results(ii, T, dvel, probe, labels[ii])
all_results.append(results)
plt.tight_layout()
fig.savefig('time_poisson_interactive_probe_%s.png' %
(suffix % step),
bbox_inches='tight')
if options.show:
plt.draw()
for ii, results in enumerate(all_results):
output('probe %d (%s):' % (ii, probes[ii].name))
output.level += 2
for key, res in ordered_iteritems(results):
output(key + ':')
val = res[1]
output(' min: %+.2e, mean: %+.2e, max: %+.2e' %
(val.min(), val.mean(), val.max()))
output.level -= 2
def main():
from sfepy import data_dir
parser = OptionParser(usage=usage, version='%prog')
parser.add_option('--young', metavar='float', type=float,
action='store', dest='young',
default=2000.0, help=helps['young'])
parser.add_option('--poisson', metavar='float', type=float,
action='store', dest='poisson',
default=0.4, help=helps['poisson'])
parser.add_option('--load', metavar='float', type=float,
action='store', dest='load',
default=-1000.0, help=helps['load'])
parser.add_option('--order', metavar='int', type=int,
action='store', dest='order',
default=1, help=helps['order'])
parser.add_option('-r', '--refine', metavar='int', type=int,
action='store', dest='refine',
default=0, help=helps['refine'])
parser.add_option('-s', '--show',
action="store_true", dest='show',
default=False, help=helps['show'])
parser.add_option('-p', '--probe',
action="store_true", dest='probe',
default=False, help=helps['probe'])
options, args = parser.parse_args()
assert_((0.0 < options.poisson < 0.5),
"Poisson's ratio must be in ]0, 0.5[!")
assert_((0 < options.order),
'displacement approximation order must be at least 1!')
output('using values:')
output(" Young's modulus:", options.young)
output(" Poisson's ratio:", options.poisson)
output(' vertical load:', options.load)
output('uniform mesh refinement level:', options.refine)
# Build the problem definition.
mesh = Mesh.from_file(data_dir + '/meshes/2d/its2D.mesh')
domain = FEDomain('domain', mesh)
if options.refine > 0:
for ii in range(options.refine):
output('refine %d...' % ii)
domain = domain.refine()
output('... %d nodes %d elements'
% (domain.shape.n_nod, domain.shape.n_el))
omega = domain.create_region('Omega', 'all')
left = domain.create_region('Left',
'vertices in x < 0.001', 'facet')
bottom = domain.create_region('Bottom',
'vertices in y < 0.001', 'facet')
top = domain.create_region('Top', 'vertex 2', 'vertex')
field = Field.from_args('fu', nm.float64, 'vector', omega,
approx_order=options.order)
u = FieldVariable('u', 'unknown', field)
v = FieldVariable('v', 'test', field, primary_var_name='u')
D = stiffness_from_youngpoisson(2, options.young, options.poisson)
asphalt = Material('Asphalt', D=D)
load = Material('Load', values={'.val' : [0.0, options.load]})
integral = Integral('i', order=2*options.order)
integral0 = Integral('i', order=0)
t1 = Term.new('dw_lin_elastic(Asphalt.D, v, u)',
integral, omega, Asphalt=asphalt, v=v, u=u)
t2 = Term.new('dw_point_load(Load.val, v)',
integral0, top, Load=load, v=v)
eq = Equation('balance', t1 - t2)
eqs = Equations([eq])
xsym = EssentialBC('XSym', bottom, {'u.1' : 0.0})
ysym = EssentialBC('YSym', left, {'u.0' : 0.0})
ls = ScipyDirect({})
nls_status = IndexedStruct()
nls = Newton({}, lin_solver=ls, status=nls_status)
pb = Problem('elasticity', equations=eqs, nls=nls, ls=ls)
pb.time_update(ebcs=Conditions([xsym, ysym]))
# Solve the problem.
state = pb.solve()
output(nls_status)
# Postprocess the solution.
out = state.create_output_dict()
out = stress_strain(out, pb, state, extend=True)
pb.save_state('its2D_interactive.vtk', out=out)
gdata = geometry_data['2_3']
nc = len(gdata.coors)
integral_vn = Integral('ivn', coors=gdata.coors,
weights=[gdata.volume / nc] * nc)
nodal_stress(out, pb, state, integrals=Integrals([integral_vn]))
if options.probe:
# Probe the solution.
probes, labels = gen_lines(pb)
sfield = Field.from_args('sym_tensor', nm.float64, 3, omega,
approx_order=options.order - 1)
stress = FieldVariable('stress', 'parameter', sfield,
primary_var_name='(set-to-None)')
strain = FieldVariable('strain', 'parameter', sfield,
primary_var_name='(set-to-None)')
cfield = Field.from_args('component', nm.float64, 1, omega,
approx_order=options.order - 1)
component = FieldVariable('component', 'parameter', cfield,
primary_var_name='(set-to-None)')
ev = pb.evaluate
order = 2 * (options.order - 1)
strain_qp = ev('ev_cauchy_strain.%d.Omega(u)' % order, mode='qp')
stress_qp = ev('ev_cauchy_stress.%d.Omega(Asphalt.D, u)' % order,
mode='qp', copy_materials=False)
project_by_component(strain, strain_qp, component, order)
project_by_component(stress, stress_qp, component, order)
all_results = []
for ii, probe in enumerate(probes):
fig, results = probe_results(u, strain, stress, probe, labels[ii])
fig.savefig('its2D_interactive_probe_%d.png' % ii)
all_results.append(results)
for ii, results in enumerate(all_results):
output('probe %d:' % ii)
output.level += 2
for key, res in ordered_iteritems(results):
output(key + ':')
val = res[1]
output(' min: %+.2e, mean: %+.2e, max: %+.2e'
% (val.min(), val.mean(), val.max()))
output.level -= 2
if options.show:
# Show the solution. If the approximation order is greater than 1, the
# extra DOFs are simply thrown away.
from sfepy.postprocess.viewer import Viewer
view = Viewer('its2D_interactive.vtk')
view(vector_mode='warp_norm', rel_scaling=1,
is_scalar_bar=True, is_wireframe=True)
def main():
from sfepy import data_dir
parser = OptionParser(usage=usage, version='%prog')
parser.add_option('--young',
metavar='float',
type=float,
action='store',
dest='young',
default=2000.0,
help=helps['young'])
parser.add_option('--poisson',
metavar='float',
type=float,
action='store',
dest='poisson',
default=0.4,
help=helps['poisson'])
parser.add_option('--load',
metavar='float',
type=float,
action='store',
dest='load',
default=-1000.0,
help=helps['load'])
parser.add_option('--order',
metavar='int',
type=int,
action='store',
dest='order',
default=1,
help=helps['order'])
parser.add_option('-r',
'--refine',
metavar='int',
type=int,
action='store',
dest='refine',
default=0,
help=helps['refine'])
parser.add_option('-s',
'--show',
action="store_true",
dest='show',
default=False,
help=helps['show'])
parser.add_option('-p',
'--probe',
action="store_true",
dest='probe',
default=False,
help=helps['probe'])
options, args = parser.parse_args()
assert_((0.0 < options.poisson < 0.5),
"Poisson's ratio must be in ]0, 0.5[!")
assert_((0 < options.order),
'displacement approximation order must be at least 1!')
output('using values:')
output(" Young's modulus:", options.young)
output(" Poisson's ratio:", options.poisson)
output(' vertical load:', options.load)
output('uniform mesh refinement level:', options.refine)
# Build the problem definition.
mesh = Mesh.from_file(data_dir + '/meshes/2d/its2D.mesh')
domain = FEDomain('domain', mesh)
if options.refine > 0:
for ii in xrange(options.refine):
output('refine %d...' % ii)
domain = domain.refine()
output('... %d nodes %d elements' %
(domain.shape.n_nod, domain.shape.n_el))
omega = domain.create_region('Omega', 'all')
left = domain.create_region('Left', 'vertices in x < 0.001', 'facet')
bottom = domain.create_region('Bottom', 'vertices in y < 0.001', 'facet')
top = domain.create_region('Top', 'vertex 2', 'vertex')
field = Field.from_args('fu',
nm.float64,
'vector',
omega,
approx_order=options.order)
u = FieldVariable('u', 'unknown', field)
v = FieldVariable('v', 'test', field, primary_var_name='u')
D = stiffness_from_youngpoisson(2, options.young, options.poisson)
asphalt = Material('Asphalt', D=D)
load = Material('Load', values={'.val': [0.0, options.load]})
integral = Integral('i', order=2 * options.order)
integral0 = Integral('i', order=0)
t1 = Term.new('dw_lin_elastic(Asphalt.D, v, u)',
integral,
omega,
Asphalt=asphalt,
v=v,
u=u)
t2 = Term.new('dw_point_load(Load.val, v)', integral0, top, Load=load, v=v)
eq = Equation('balance', t1 - t2)
eqs = Equations([eq])
xsym = EssentialBC('XSym', bottom, {'u.1': 0.0})
ysym = EssentialBC('YSym', left, {'u.0': 0.0})
ls = ScipyDirect({})
nls_status = IndexedStruct()
nls = Newton({}, lin_solver=ls, status=nls_status)
pb = Problem('elasticity', equations=eqs, nls=nls, ls=ls)
pb.time_update(ebcs=Conditions([xsym, ysym]))
# Solve the problem.
state = pb.solve()
output(nls_status)
# Postprocess the solution.
out = state.create_output_dict()
out = stress_strain(out, pb, state, extend=True)
pb.save_state('its2D_interactive.vtk', out=out)
gdata = geometry_data['2_3']
nc = len(gdata.coors)
integral_vn = Integral('ivn',
coors=gdata.coors,
weights=[gdata.volume / nc] * nc)
nodal_stress(out, pb, state, integrals=Integrals([integral_vn]))
if options.probe:
# Probe the solution.
probes, labels = gen_lines(pb)
sfield = Field.from_args('sym_tensor',
nm.float64,
3,
omega,
approx_order=options.order - 1)
stress = FieldVariable('stress',
'parameter',
sfield,
primary_var_name='(set-to-None)')
strain = FieldVariable('strain',
'parameter',
sfield,
primary_var_name='(set-to-None)')
cfield = Field.from_args('component',
nm.float64,
1,
omega,
approx_order=options.order - 1)
component = FieldVariable('component',
'parameter',
cfield,
primary_var_name='(set-to-None)')
ev = pb.evaluate
order = 2 * (options.order - 1)
strain_qp = ev('ev_cauchy_strain.%d.Omega(u)' % order, mode='qp')
stress_qp = ev('ev_cauchy_stress.%d.Omega(Asphalt.D, u)' % order,
mode='qp',
copy_materials=False)
project_by_component(strain, strain_qp, component, order)
project_by_component(stress, stress_qp, component, order)
all_results = []
for ii, probe in enumerate(probes):
fig, results = probe_results(u, strain, stress, probe, labels[ii])
fig.savefig('its2D_interactive_probe_%d.png' % ii)
all_results.append(results)
for ii, results in enumerate(all_results):
output('probe %d:' % ii)
output.level += 2
for key, res in ordered_iteritems(results):
output(key + ':')
val = res[1]
output(' min: %+.2e, mean: %+.2e, max: %+.2e' %
(val.min(), val.mean(), val.max()))
output.level -= 2
if options.show:
# Show the solution. If the approximation order is greater than 1, the
# extra DOFs are simply thrown away.
from sfepy.postprocess.viewer import Viewer
view = Viewer('its2D_interactive.vtk')
view(vector_mode='warp_norm',
rel_scaling=1,
is_scalar_bar=True,
is_wireframe=True)
def main():
from sfepy import data_dir
parser = OptionParser(usage=usage, version='%prog')
parser.add_option('-s', '--show',
action="store_true", dest='show',
default=False, help=help['show'])
options, args = parser.parse_args()
options_probe = True
folder = str(uuid.uuid4())
os.mkdir(folder)
os.chdir(folder)
file = open('README.txt', 'w')
file.write('DIMENSIONS\n')
file.write('Lx = '+str(dims[0])+' Ly = '+str(dims[1])+' Lz = '+str(dims[2])+'\n')
file.write('DISCRETIZATION (NX, NY, NZ)\n')
file.write(str(NX)+' '+str(NY)+' '+str(NZ)+'\n')
file.write('MATERIALS\n')
file.write(str(E_f)+' '+str(nu_f)+' '+str(E_m)+' '+str(nu_m)+'\n')
#mesh = Mesh.from_file(data_dir + '/meshes/2d/rectangle_tri.mesh')
mesh = mesh_generators.gen_block_mesh(dims,shape,centre,name='block')
domain = FEDomain('domain', mesh)
min_x, max_x = domain.get_mesh_bounding_box()[:,0]
min_y, max_y = domain.get_mesh_bounding_box()[:,1]
min_z, max_z = domain.get_mesh_bounding_box()[:,2]
eps = 1e-8 * (max_x - min_x)
print min_x, max_x
print min_y, max_y
print min_z, max_z
R1 = domain.create_region('Ym',
'vertices in z < %.10f' % (max_z/2))
R2 = domain.create_region('Yf',
'vertices in z >= %.10f' % (min_z/2))
omega = domain.create_region('Omega', 'all')
gamma1 = domain.create_region('Left',
'vertices in x < %.10f' % (min_x + eps),
'facet')
gamma2 = domain.create_region('Right',
'vertices in x > %.10f' % (max_x - eps),
'facet')
gamma3 = domain.create_region('Front',
'vertices in y < %.10f' % (min_y + eps),
'facet')
gamma4 = domain.create_region('Back',
'vertices in y > %.10f' % (max_y - eps),
'facet')
gamma5 = domain.create_region('Bottom',
'vertices in z < %.10f' % (min_z + eps),
'facet')
gamma6 = domain.create_region('Top',
'vertices in z > %.10f' % (max_z - eps),
'facet')
field = Field.from_args('fu', nm.float64, 'vector', omega, approx_order=2)
u = FieldVariable('u', 'unknown', field)
v = FieldVariable('v', 'test', field, primary_var_name='u')
mu=1.1
lam=1.0
m = Material('m', lam=lam, mu=mu)
f = Material('f', val=[[0.0], [0.0],[0.0]])
#mu,lam=m.get_constants_mu_lam()
#print mu.lam
D = stiffness_from_lame(3,lam, mu)
mat = Material('Mat', D=D)
#D = stiffness_from_youngpoisson(2, options.young, options.poisson)
get_mat = Function('get_mat1',get_mat1)
#get_mat1=Function('get_mat', (lambda ts, coors, mode=None, problem=None, **kwargs:
# get_mat(coors, mode, problem)))
#mat = Material('Mat', function=Function('get_mat1',get_mat1))
#mat = Material('Mat', 'get_mat')
integral = Integral('i', order=3)
t1 = Term.new('dw_lin_elastic(Mat.D, v, u)',
integral, omega, Mat=mat, v=v, u=u)
t2 = Term.new('dw_volume_lvf(f.val, v)', integral, omega, f=f, v=v)
eq = Equation('balance', t1 + t2)
eqs = Equations([eq])
fix_u = EssentialBC('fix_u', gamma1, {'u.all' : 0.0})
left_bc = EssentialBC('Left', gamma1, {'u.0' : 0.0})
right_bc = EssentialBC('Right', gamma2, {'u.0' : 0.0})
back_bc = EssentialBC('Front', gamma3, {'u.1' : 0.0})
front_bc = EssentialBC('Back', gamma4, {'u.1' : 0.0})
bottom_bc = EssentialBC('Bottom', gamma5, {'u.all' : 0.0})
top_bc = EssentialBC('Top', gamma6, {'u.2' : 0.2})
bc=[left_bc,right_bc,back_bc,front_bc,bottom_bc,top_bc]
#bc=[bottom_bc,top_bc]
bc_fun = Function('shift_u_fun', shift_u_fun, extra_args={'shift' : 0.01})
shift_u = EssentialBC('shift_u', gamma2, {'u.0' : bc_fun})
#get_mat = Function('get_mat1',get_mat1)
#mat = Material('Mat', function=Function('get_mat1',get_mat1))
#ls = ScipyDirect({'method':'umfpack'})
##############################
# ##### SOLVER SECTION #####
##############################
# GET MATRIX FOR PRECONTITIONER #
#ls = ScipyIterative({'method':'bicgstab','i_max':5000,'eps_r':1e-10})
#ls = ScipyIterative({})
#ls = PyAMGSolver({'i_max':5000,'eps_r':1e-10})
#conf = Struct(method='cg', precond='gamg', sub_precond=None,i_max=10000, eps_a=1e-50, eps_r=1e-5, eps_d=1e4, verbose=True)
#ls = PETScKrylovSolver({'method' : 'cg', 'precond' : 'icc', 'eps_r' : 1e-10, 'i_max' : 5000})
conf = Struct(method='bcgsl', precond='jacobi', sub_precond=None,
i_max=10000, eps_a=1e-50, eps_r=1e-10, eps_d=1e4,
verbose=True)
#conf = Struct(method = 'cg', precond = 'icc', eps_r = 1e-10, i_max = 5000)
ls = PETScKrylovSolver(conf)
#if hasattr(ls.name,'ls.scipy_iterative'):
file.write(str(ls.name)+' '+str(ls.conf.method)+' '+str(ls.conf.precond)+' '+str(ls.conf.eps_r)+' '+str(ls.conf.i_max)+'\n' )
# else:
#file.write(str(ls.name)+' '+str(ls.conf.method)+'\n')
# conf = Struct(method='bcgsl', precond='jacobi', sub_precond=None,
# i_max=10000, eps_a=1e-50, eps_r=1e-8, eps_d=1e4,
# verbose=True)
#ls = PETScKrylovSolver(conf)
#ls = ScipyIterative({'method':'bicgstab','i_max':100,'eps_r':1e-10})
nls_status = IndexedStruct()
nls = Newton({'i_max':1,'eps_a':1e-10}, lin_solver=ls, status=nls_status)
pb = Problem('elasticity', equations=eqs, nls=nls, ls=ls)
dd=pb.get_materials()['Mat']
dd.set_function(get_mat1)
pb.save_regions_as_groups('regions')
#pb.time_update(ebcs=Conditions([fix_u, shift_u]))
pb.time_update(ebcs=Conditions(bc))
pb.save_regions_as_groups('regions')
#ls = ScipyIterative({'method':'bicgstab','i_max':100,'eps_r':1e-10})
# A = pb.mtx_a
# M = spilu(A,fill_factor = 1)
#conf = Struct(solvers ='ScipyIterative',method='bcgsl', sub_precond=None,
# i_max=1000, eps_r=1e-8)
#pb.set_conf_solvers(conf)
vec = pb.solve()
print nls_status
file.write('TIME TO SOLVE\n')
file.write(str(nls.status.time_stats['solve'])+'\n')
file.write('TIME TO CREATE MATRIX\n')
file.write(str(nls.status.time_stats['matrix'])+'\n')
#out = post_process(out, pb, state, extend=False)
ev = pb.evaluate
out = vec.create_output_dict()
strain = ev('ev_cauchy_strain.3.Omega(u)', mode='el_avg')
stress = ev('ev_cauchy_stress.3.Omega(Mat.D, u)', mode='el_avg',
copy_materials=False)
out['cauchy_strain'] = Struct(name='output_data', mode='cell',
data=strain, dofs=None)
out['cauchy_stress'] = Struct(name='output_data', mode='cell',
data=stress, dofs=None)
# Postprocess the solution.
#out = vec.create_output_dict()
#out = stress_strain(out, pb, vec,lam,mu, extend=True)
#pb.save_state('its2D_interactive.vtk', out=out)
#print 'aqui estoy'
pb.save_state('strain.vtk', out=out)
#pb.save_state('disp.vtk', out=vec)
#print 'ahora estoy aqui'
#out = stress_strain(out, pb, vec, extend=True)
#pb.save_state('out.vtk', out=out)
print nls_status
order = 3
strain_qp = ev('ev_cauchy_strain.%d.Omega(u)' % order, mode='qp')
stress_qp = ev('ev_cauchy_stress.%d.Omega(Mat.D, u)' % order,
mode='qp', copy_materials=False)
file.close()
options_probe=False
if options_probe:
# Probe the solution.
probes, labels = gen_lines(pb)
nls_options = {'eps_a':1e-8,'i_max':1}
ls = ScipyDirect({})
ls2 = ScipyIterative({'method':'bicgstab','i_max':5000,'eps_r':1e-20})
order = 5
sfield = Field.from_args('sym_tensor', nm.float64, (3,), omega,
approx_order=order-1)
stress = FieldVariable('stress', 'parameter', sfield,
primary_var_name='(set-to-None)')
strain = FieldVariable('strain', 'parameter', sfield,
primary_var_name='(set-to-None)')
cfield = Field.from_args('component', nm.float64, 1, omega,
approx_order=order-1)
component = FieldVariable('component', 'parameter', cfield,
primary_var_name='(set-to-None)')
ev = pb.evaluate
order = 2*(order - 1) #2 * (2- 1)
print "before strain_qp"
strain_qp = ev('ev_cauchy_strain.%d.Omega(u)' % order, mode='qp')
stress_qp = ev('ev_cauchy_stress.%d.Omega(Mat.D, u)' % order,
mode='qp', copy_materials=False)
print "before projections"
print stress
project_by_component(strain, strain_qp, component, order,ls2,nls_options)
#print 'strain done'
project_by_component(stress, stress_qp, component, order,ls2,nls_options)
print "after projections"
all_results = []
for ii, probe in enumerate(probes):
fig, results = probe_results2(u, strain, stress, probe, labels[ii])
fig.savefig('test_probe_%d.png' % ii)
all_results.append(results)
for ii, results in enumerate(all_results):
output('probe %d:' % ii)
output.level += 2
for key, res in ordered_iteritems(results):
output(key + ':')
val = res[1]
output(' min: %+.2e, mean: %+.2e, max: %+.2e'
% (val.min(), val.mean(), val.max()))
output.level -= 2