def steady_state(pb):
print """
##################### steady state ##################
"""
pb.flag = 'linear'
outbase = tools.get_output_base(pb)
conf = pb.conf.copy()
conf.equations, _ = define_steady_state_equations()
ebcs_steady, _, _, _ = define_bc(conf.cg1,
conf.cg2,
is_steady=True,
val_in=conf.val_w1,
val_out=conf.val_w2)
conf.edit('ebcs', ebcs_steady)
lpb = Problem.from_conf(conf)
lpb.time_update()
lpb.init_solvers(nls_conf=lpb.solver_confs['newton'])
lpb.set_linear(False)
state = lpb.solve().get_parts()
state_data = {ii: state[ii] for ii in lpb.conf.state_vars}
eval_data = tools.eval_macro(lpb, state_data, is_steady=True)
tools.write_macro_fields(outbase + '_steady.vtk', eval_data,
lpb.domain.mesh)
return state_data
def from_conf( conf, options ):
from sfepy.discrete import Problem
problem = Problem.from_conf(conf, init_equations=False)
test = Test( problem = problem,
conf = conf, options = options )
return test
def main():
from sfepy.base.base import output
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.discrete import Problem
output.prefix = "therel:"
required, other = get_standard_keywords()
conf = ProblemConf.from_file(__file__, required, other)
problem = Problem.from_conf(conf, init_equations=False)
# Setup output directory according to options above.
problem.setup_default_output()
# First solve the stationary electric conduction problem.
problem.set_equations({"eq": conf.equations["1"]})
problem.time_update()
state_el = problem.solve()
problem.save_state(problem.get_output_name(suffix="el"), state_el)
# Then solve the evolutionary heat conduction problem, using state_el.
problem.set_equations({"eq": conf.equations["2"]})
phi_var = problem.get_variables()["phi_known"]
phi_var.set_data(state_el())
time_solver = problem.get_time_solver()
time_solver()
output("results saved in %s" % problem.get_output_name(suffix="*"))
def from_conf(conf, options):
from sfepy.discrete import Problem
problem = Problem.from_conf(conf, init_equations=False)
test = Test(problem=problem,
conf=conf, options=options)
return test
def main():
from sfepy.base.base import output
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.discrete import Problem
output.prefix = 'therel:'
required, other = get_standard_keywords()
conf = ProblemConf.from_file(__file__, required, other)
problem = Problem.from_conf(conf, init_equations=False)
# Setup output directory according to options above.
problem.setup_default_output()
# First solve the stationary electric conduction problem.
problem.set_equations({'eq' : conf.equations['1']})
problem.time_update()
state_el = problem.solve()
problem.save_state(problem.get_output_name(suffix = 'el'), state_el)
# Then solve the evolutionary heat conduction problem, using state_el.
problem.set_equations({'eq' : conf.equations['2']})
phi_var = problem.get_variables()['phi_known']
phi_var.set_data(state_el())
time_solver = problem.get_time_solver()
time_solver.init_time()
for _ in time_solver():
pass
output('results saved in %s' % problem.get_output_name(suffix = '*'))
def main():
from sfepy.base.base import output
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.discrete import Problem
output.prefix = 'therel:'
required, other = get_standard_keywords()
conf = ProblemConf.from_file(__file__, required, other)
problem = Problem.from_conf(conf, init_equations=False)
# Setup output directory according to options above.
problem.setup_default_output()
# First solve the stationary electric conduction problem.
problem.set_equations({'eq' : conf.equations['1']})
state_el = problem.solve()
problem.save_state(problem.get_output_name(suffix = 'el'), state_el)
# Then solve the evolutionary heat conduction problem, using state_el.
problem.set_equations({'eq' : conf.equations['2']})
phi_var = problem.get_variables()['phi_known']
phi_var.set_data(state_el())
problem.solve()
output('results saved in %s' % problem.get_output_name(suffix = '*'))
def vary_omega1_size(problem):
"""Vary size of \Omega1. Saves also the regions into options['output_dir'].
Input:
problem: Problem instance
Return:
a generator object:
1. creates new (modified) problem
2. yields the new (modified) problem and output container
3. use the output container for some logging
4. yields None (to signal next iteration to Application)
"""
from sfepy.discrete import Problem
from sfepy.solvers.ts import get_print_info
output.prefix = 'vary_omega1_size:'
diameters = nm.linspace(0.1, 0.6, 7) + 0.001
ofn_trunk, output_format = problem.ofn_trunk, problem.output_format
output_dir = problem.output_dir
join = os.path.join
conf = problem.conf
cf = conf.get_raw('functions')
n_digit, aux, d_format = get_print_info(len(diameters) + 1)
for ii, diameter in enumerate(diameters):
output('iteration %d: diameter %3.2f' % (ii, diameter))
cf['select_circ'] = (lambda coors, domain=None: select_circ(
coors[:, 0], coors[:, 1], 0, diameter),
)
conf.edit('functions', cf)
problem = Problem.from_conf(conf)
problem.save_regions(join(output_dir, ('regions_' + d_format) % ii),
['Omega_1'])
region = problem.domain.regions['Omega_1']
if not region.has_cells():
raise ValueError('region %s has no cells!' % region.name)
ofn_trunk = ofn_trunk + '_' + (d_format % ii)
problem.setup_output(output_filename_trunk=ofn_trunk,
output_dir=output_dir,
output_format=output_format)
out = []
yield problem, out
out_problem, state = out[-1]
filename = join(output_dir, ('log_%s.txt' % d_format) % ii)
fd = open(filename, 'w')
log_item = '$r(\Omega_1)$: %f\n' % diameter
fd.write(log_item)
fd.write('solution:\n')
nm.savetxt(fd, state())
fd.close()
yield None
def main():
from sfepy.base.base import output
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.discrete import Problem
from sfepy.base.plotutils import plt
parser = OptionParser(usage=usage, version='%prog')
parser.add_option('-n', '--no-plot',
action="store_true", dest='no_plot',
default=False, help=helps['no_plot'])
options, args = parser.parse_args()
required, other = get_standard_keywords()
# Use this file as the input file.
conf = ProblemConf.from_file(__file__, required, other)
# Create problem instance, but do not set equations.
problem = Problem.from_conf(conf, init_equations=False)
# Solve the problem. Output is ignored, results stored by using the
# step_hook.
u_t = solve_branch(problem, linear_tension)
u_c = solve_branch(problem, linear_compression)
# Get pressure load by calling linear_*() for each time step.
ts = problem.get_timestepper()
load_t = nm.array([linear_tension(ts, nm.array([[0.0]]), 'qp')['val']
for aux in ts.iter_from(0)],
dtype=nm.float64).squeeze()
load_c = nm.array([linear_compression(ts, nm.array([[0.0]]), 'qp')['val']
for aux in ts.iter_from(0)],
dtype=nm.float64).squeeze()
# Join the branches.
displacements = {}
for key in u_t.keys():
displacements[key] = nm.r_[u_c[key][::-1], u_t[key]]
load = nm.r_[load_c[::-1], load_t]
if plt is None:
output('matplotlib cannot be imported, printing raw data!')
output(displacements)
output(load)
else:
legend = []
for key, val in displacements.iteritems():
plt.plot(load, val)
legend.append(key)
plt.legend(legend, loc = 2)
plt.xlabel('tension [kPa]')
plt.ylabel('displacement [mm]')
plt.grid(True)
plt.gcf().savefig('pressure_displacement.png')
if not options.no_plot:
plt.show()
def vary_omega1_size( problem ):
"""Vary size of \Omega1. Saves also the regions into options['output_dir'].
Input:
problem: Problem instance
Return:
a generator object:
1. creates new (modified) problem
2. yields the new (modified) problem and output container
3. use the output container for some logging
4. yields None (to signal next iteration to Application)
"""
from sfepy.discrete import Problem
from sfepy.solvers.ts import get_print_info
output.prefix = 'vary_omega1_size:'
diameters = nm.linspace( 0.1, 0.6, 7 ) + 0.001
ofn_trunk, output_format = problem.ofn_trunk, problem.output_format
output_dir = problem.output_dir
join = os.path.join
conf = problem.conf
cf = conf.get_raw( 'functions' )
n_digit, aux, d_format = get_print_info( len( diameters ) + 1 )
for ii, diameter in enumerate( diameters ):
output( 'iteration %d: diameter %3.2f' % (ii, diameter) )
cf['select_circ'] = (lambda coors, domain=None:
select_circ(coors[:,0], coors[:,1], 0, diameter),)
conf.edit('functions', cf)
problem = Problem.from_conf(conf)
problem.save_regions( join( output_dir, ('regions_' + d_format) % ii ),
['Omega_1'] )
region = problem.domain.regions['Omega_1']
if not region.has_cells():
raise ValueError('region %s has no cells!' % region.name)
ofn_trunk = ofn_trunk + '_' + (d_format % ii)
problem.setup_output(output_filename_trunk=ofn_trunk,
output_dir=output_dir,
output_format=output_format)
out = []
yield problem, out
out_problem, state = out[-1]
filename = join( output_dir,
('log_%s.txt' % d_format) % ii )
fd = open( filename, 'w' )
log_item = '$r(\Omega_1)$: %f\n' % diameter
fd.write( log_item )
fd.write( 'solution:\n' )
nm.savetxt(fd, state())
fd.close()
yield None
def main():
from sfepy.base.base import output
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.discrete import Problem
from sfepy.base.plotutils import plt
parser = OptionParser(usage=usage, version='%prog')
parser.add_option('-n', '--no-plot',
action="store_true", dest='no_plot',
default=False, help=helps['no_plot'])
options, args = parser.parse_args()
required, other = get_standard_keywords()
# Use this file as the input file.
conf = ProblemConf.from_file(__file__, required, other)
# Create problem instance, but do not set equations.
problem = Problem.from_conf(conf, init_equations=False)
# Solve the problem. Output is ignored, results stored by using the
# step_hook.
u_t = solve_branch(problem, linear_tension)
u_c = solve_branch(problem, linear_compression)
# Get pressure load by calling linear_*() for each time step.
ts = problem.get_timestepper()
load_t = nm.array([linear_tension(ts, nm.array([[0.0]]), 'qp')['val']
for aux in ts.iter_from(0)],
dtype=nm.float64).squeeze()
load_c = nm.array([linear_compression(ts, nm.array([[0.0]]), 'qp')['val']
for aux in ts.iter_from(0)],
dtype=nm.float64).squeeze()
# Join the branches.
displacements = {}
for key in u_t.keys():
displacements[key] = nm.r_[u_c[key][::-1], u_t[key]]
load = nm.r_[load_c[::-1], load_t]
if plt is None:
output('matplotlib cannot be imported, printing raw data!')
output(displacements)
output(load)
else:
legend = []
for key, val in six.iteritems(displacements):
plt.plot(load, val)
legend.append(key)
plt.legend(legend, loc = 2)
plt.xlabel('tension [kPa]')
plt.ylabel('displacement [mm]')
plt.grid(True)
plt.gcf().savefig('pressure_displacement.png')
if not options.no_plot:
plt.show()
def from_conf(conf, options):
from sfepy.discrete import Problem
problem = Problem.from_conf(conf)
problem.time_update()
test = Test(problem=problem, conf=conf, options=options)
return test
def from_conf(conf, options):
from sfepy.discrete import Problem
problem = Problem.from_conf(conf)
problem.time_update()
test = Test(problem=problem, conf=conf, options=options)
return test
def assemble_matrices(define, mod, pars, set_wave_dir, options, wdir=None):
"""
Assemble the blocks of dispersion eigenvalue problem matrices.
"""
define_dict = define(filename_mesh=options.mesh_filename,
pars=pars,
approx_order=options.order,
refinement_level=options.refine,
solver_conf=options.solver_conf,
plane=options.plane,
post_process=options.post_process,
**options.define_kwargs)
conf = ProblemConf.from_dict(define_dict, mod)
pb = Problem.from_conf(conf)
pb.dispersion_options = options
pb.set_output_dir(options.output_dir)
dim = pb.domain.shape.dim
# Set the normalized wave vector direction to the material(s).
if wdir is None:
wdir = nm.asarray(options.wave_dir[:dim], dtype=nm.float64)
wdir = wdir / nm.linalg.norm(wdir)
set_wave_dir(pb, wdir)
bbox = pb.domain.mesh.get_bounding_box()
size = (bbox[1] - bbox[0]).max()
scaling0 = apply_unit_multipliers([1.0], ['length'],
options.unit_multipliers)[0]
scaling = scaling0
if options.mesh_size is not None:
scaling *= options.mesh_size / size
output('scaling factor of periodic cell mesh coordinates:', scaling)
output('new mesh size with applied unit multipliers:', scaling * size)
pb.domain.mesh.coors[:] *= scaling
pb.set_mesh_coors(pb.domain.mesh.coors, update_fields=True)
bzone = 2.0 * nm.pi / (scaling * size)
output('1. Brillouin zone size:', bzone * scaling0)
output('1. Brillouin zone size with applied unit multipliers:', bzone)
pb.time_update()
pb.update_materials()
# Assemble the matrices.
mtxs = {}
for key, eq in pb.equations.iteritems():
mtxs[key] = mtx = pb.mtx_a.copy()
mtx = eq.evaluate(mode='weak', dw_mode='matrix', asm_obj=mtx)
mtx.eliminate_zeros()
output_array_stats(mtx.data, 'nonzeros in %s' % key)
output('symmetry checks:')
output('%s - %s^T:' % (key, key), max_diff_csr(mtx, mtx.T))
output('%s - %s^H:' % (key, key), max_diff_csr(mtx, mtx.H))
return pb, wdir, bzone, mtxs
def test_stokes_slip_bc(self):
import scipy.sparse as sp
from sfepy.base.conf import ProblemConf
from sfepy.discrete import Problem
import examples.navier_stokes.stokes_slip_bc as ssb
conf = ProblemConf.from_module(ssb)
pb = Problem.from_conf(conf, init_solvers=False)
pb.time_update()
variables = pb.get_variables()
adi = variables.adi
lcdi = variables.lcdi
mtx = variables.mtx_lcbc
ok = adi.var_names == lcdi.var_names
self.report('same adi-lcdi ordering:', ok)
ublock = mtx[adi.indx['u']]
ir, ic = ublock.nonzero()
ir += adi.indx['u'].start
i0, i1 = adi.indx['u'].start, adi.indx['u'].stop
_ok0 = (i0 <= ir).all() and (ir < i1).all()
self.report('u block rows in [%d %d[: %s' % (i0, i1, _ok0))
i0, i1 = lcdi.indx['u'].start, lcdi.indx['u'].stop
_ok1 = (i0 <= ic).all() and (ic < i1).all()
self.report('u block cols in [%d %d[: %s' % (i0, i1, _ok1))
ok = ok and _ok0 and _ok1
pblock = mtx[adi.indx['p']]
ir, ic, iv = sp.find(pblock)
ir += adi.indx['p'].start
i0, i1 = adi.indx['p'].start, adi.indx['p'].stop
_ok0 = (i0 <= ir).all() and (ir < i1).all()
self.report('p block rows in [%d %d[: %s' % (i0, i1, _ok0))
i0, i1 = lcdi.indx['p'].start, lcdi.indx['p'].stop
_ok1 = (i0 <= ic).all() and (ic < i1).all()
self.report('p block cols in [%d %d[: %s' % (i0, i1, _ok1))
ok = ok and _ok0 and _ok1
_ok0 = (len(ir) == adi.n_dof['p'])
self.report('p block size correct:', _ok0)
_ok1 = ((ir - adi.indx['p'].start) == (ic -
lcdi.indx['p'].start)).all()
self.report('p block diagonal:', _ok1)
_ok2 = (iv == 1.0).all()
self.report('p block identity:', _ok2)
ok = ok and _ok0 and _ok1 and _ok2
return ok
def test_stokes_slip_bc(self):
import scipy.sparse as sp
from sfepy.base.conf import ProblemConf
from sfepy.discrete import Problem
import examples.navier_stokes.stokes_slip_bc as ssb
conf = ProblemConf.from_module(ssb)
pb = Problem.from_conf(conf, init_solvers=False)
pb.time_update()
variables = pb.get_variables()
adi = variables.adi
lcdi = variables.lcdi
mtx = variables.mtx_lcbc
ok = adi.var_names == lcdi.var_names
self.report('same adi-lcdi ordering:', ok)
ublock = mtx[adi.indx['u']]
ir, ic = ublock.nonzero()
ir += adi.indx['u'].start
i0, i1 = adi.indx['u'].start, adi.indx['u'].stop
_ok0 = (i0 <= ir).all() and (ir < i1).all()
self.report('u block rows in [%d %d[: %s' % (i0, i1, _ok0))
i0, i1 = lcdi.indx['u'].start, lcdi.indx['u'].stop
_ok1 = (i0 <= ic).all() and (ic < i1).all()
self.report('u block cols in [%d %d[: %s' % (i0, i1, _ok1))
ok = ok and _ok0 and _ok1
pblock = mtx[adi.indx['p']]
ir, ic, iv = sp.find(pblock)
ir += adi.indx['p'].start
i0, i1 = adi.indx['p'].start, adi.indx['p'].stop
_ok0 = (i0 <= ir).all() and (ir < i1).all()
self.report('p block rows in [%d %d[: %s' % (i0, i1, _ok0))
i0, i1 = lcdi.indx['p'].start, lcdi.indx['p'].stop
_ok1 = (i0 <= ic).all() and (ic < i1).all()
self.report('p block cols in [%d %d[: %s' % (i0, i1, _ok1))
ok = ok and _ok0 and _ok1
_ok0 = (len(ir) == adi.n_dof['p'])
self.report('p block size correct:', _ok0)
_ok1 = ((ir - adi.indx['p'].start) == (ic - lcdi.indx['p'].start)).all()
self.report('p block diagonal:', _ok1)
_ok2 = (iv == 1.0).all()
self.report('p block identity:', _ok2)
ok = ok and _ok0 and _ok1 and _ok2
return ok
def assemble_matrices(define, mod, pars, set_wave_dir, options):
"""
Assemble the blocks of dispersion eigenvalue problem matrices.
"""
define_problem = functools.partial(define,
filename_mesh=options.mesh_filename,
pars=pars,
approx_order=options.order,
refinement_level=options.refine,
solver_conf=options.solver_conf,
plane=options.plane,
post_process=options.post_process)
conf = ProblemConf.from_dict(define_problem(), mod)
pb = Problem.from_conf(conf)
pb.dispersion_options = options
pb.set_output_dir(options.output_dir)
dim = pb.domain.shape.dim
# Set the normalized wave vector direction to the material(s).
wdir = nm.asarray(options.wave_dir[:dim], dtype=nm.float64)
wdir = wdir / nm.linalg.norm(wdir)
set_wave_dir(pb, wdir)
bbox = pb.domain.mesh.get_bounding_box()
size = (bbox[1] - bbox[0]).max()
scaling0 = apply_unit_multipliers([1.0], ['length'],
options.unit_multipliers)[0]
scaling = scaling0
if options.mesh_size is not None:
scaling *= options.mesh_size / size
output('scaling factor of periodic cell mesh coordinates:', scaling)
output('new mesh size with applied unit multipliers:', scaling * size)
pb.domain.mesh.coors[:] *= scaling
pb.set_mesh_coors(pb.domain.mesh.coors, update_fields=True)
bzone = 2.0 * nm.pi / (scaling * size)
output('1. Brillouin zone size:', bzone * scaling0)
output('1. Brillouin zone size with applied unit multipliers:', bzone)
pb.time_update()
pb.update_materials()
# Assemble the matrices.
mtxs = {}
for key, eq in pb.equations.iteritems():
mtxs[key] = mtx = pb.mtx_a.copy()
mtx = eq.evaluate(mode='weak', dw_mode='matrix', asm_obj=mtx)
mtx.eliminate_zeros()
output_array_stats(mtx.data, 'nonzeros in %s' % key)
output('symmetry checks:')
output('%s - %s^T:' % (key, key), max_diff_csr(mtx, mtx.T))
output('%s - %s^H:' % (key, key), max_diff_csr(mtx, mtx.H))
return pb, wdir, bzone, mtxs
def from_conf(conf, options):
from sfepy.discrete import Problem
pb = Problem.from_conf(conf, init_solvers=False)
pb.time_update()
mtx = pb.equations.evaluate(mode='weak', dw_mode='matrix',
asm_obj=pb.mtx_a)
test = Test(mtx=mtx, conf=conf, options=options)
return test
def from_conf(conf, options):
from sfepy.discrete import Problem
pb = Problem.from_conf(conf, init_solvers=False)
pb.time_update()
mtx = pb.equations.evaluate(mode='weak',
dw_mode='matrix',
asm_obj=pb.mtx_a)
test = Test(mtx=mtx, conf=conf, options=options)
return test
def one_simulation(material_type,
define_args,
coef_tension=0.25,
coef_compression=-0.25,
plot_mesh_bool=False,
return_load=False):
#parser = ArgumentParser(description=__doc__,
# formatter_class=RawDescriptionHelpFormatter)
#parser.add_argument('--version', action='version', version='%(prog)s')
#options = parser.parse_args()
output.set_output(filename='sfepy_log.txt', quiet=True)
required, other = get_standard_keywords()
# Use this file as the input file.
conf = ProblemConf.from_file(__file__,
required,
other,
define_args=define_args)
# Create problem instance, but do not set equations.
problem = Problem.from_conf(conf, init_equations=False)
if plot_mesh_bool:
plot_mesh(problem)
# Solve the problem. Output is ignored, results stored by using the
# step_hook.
linear_tension = partial(linear_pressure, coef=coef_tension)
u_t = solve_branch(problem, linear_tension, material_type)
linear_compression = partial(linear_pressure, coef=coef_compression)
u_c = solve_branch(problem, linear_compression, material_type)
# Get pressure load by calling linear_*() for each time step.
ts = problem.get_timestepper()
load_t = np.array([
linear_tension(ts, np.array([[0.0]]), 'qp')['val']
for aux in ts.iter_from(0)
],
dtype=np.float64).squeeze()
load_c = np.array([
linear_compression(ts, np.array([[0.0]]), 'qp')['val']
for aux in ts.iter_from(0)
],
dtype=np.float64).squeeze()
# Join the branches.
displacements = np.r_[u_c[::-1], u_t]
load = np.r_[load_c[::-1], load_t]
if return_load:
return displacements, load
else:
return displacements
def __init__(self, conf, options, output_prefix, init_equations=True, **kwargs):
"""`kwargs` are passed to Problem.from_conf()
Command-line options have precedence over conf.options."""
Application.__init__(self, conf, options, output_prefix)
self.setup_options()
is_eqs = init_equations
if hasattr(options, "solve_not") and options.solve_not:
is_eqs = False
self.problem = Problem.from_conf(conf, init_equations=is_eqs, **kwargs)
self.setup_output_info(self.problem, self.options)
def __init__(self, conf, options, output_prefix,
init_equations=True, **kwargs):
"""`kwargs` are passed to Problem.from_conf()
Command-line options have precedence over conf.options."""
Application.__init__( self, conf, options, output_prefix )
self.setup_options()
is_eqs = init_equations
if hasattr(options, 'solve_not') and options.solve_not:
is_eqs = False
self.problem = Problem.from_conf(conf, init_equations=is_eqs, **kwargs)
self.setup_output_info( self.problem, self.options )
def create_problem(conf):
try:
conf.options.save_times = 0
except AttributeError:
pass
pb = Problem.from_conf(conf)
try:
conf.options.pre_process_hook(pb)
except AttributeError:
pass
n_cells = pb.domain.shape.n_el
vols = pb.domain.cmesh.get_volumes(1)
h = nm.mean(vols)
if "2_3" in pb.domain.geom_els:
h = nm.mean(nm.sqrt(4 * vols))
elif "2_4" in pb.domain.geom_els:
h = nm.mean(nm.sqrt(2 * vols))
return h, n_cells, pb, vols
def save_only(conf, save_names, problem=None):
"""
Save information available prior to setting equations and
solving them.
"""
if problem is None:
problem = Problem.from_conf(conf, init_equations=False)
if save_names.regions is not None:
problem.save_regions(save_names.regions)
if save_names.regions_as_groups is not None:
problem.save_regions_as_groups(save_names.regions_as_groups)
if save_names.field_meshes is not None:
problem.save_field_meshes(save_names.field_meshes)
if save_names.ebc is not None:
problem.save_ebc(save_names.ebc, force=False)
if save_names.ebc_nodes is not None:
problem.save_ebc(save_names.ebc_nodes, force=True)
def save_only(conf, save_names, problem=None):
"""
Save information available prior to setting equations and
solving them.
"""
if problem is None:
problem = Problem.from_conf(conf, init_equations=False)
if save_names.regions is not None:
problem.save_regions(save_names.regions)
if save_names.regions_as_groups is not None:
problem.save_regions_as_groups(save_names.regions_as_groups)
if save_names.field_meshes is not None:
problem.save_field_meshes(save_names.field_meshes)
if save_names.ebc is not None:
problem.save_ebc(save_names.ebc, force=False)
if save_names.ebc_nodes is not None:
problem.save_ebc(save_names.ebc_nodes, force=True)
def test_ebc(self):
import numpy as nm
from sfepy.discrete import Problem
pb = Problem.from_conf(self.test_conf)
pb.time_update()
vvs = pb.get_variables()
setv = vvs.set_state_part
make_full = vvs.make_full_vec
svec_u = nm.ones((vvs.adi.n_dof['u'], ), dtype=nm.float64)
svec_phi = nm.empty((vvs.adi.n_dof['phi'], ), dtype=nm.float64)
svec_phi.fill(2.0)
svec = vvs.create_stripped_state_vector()
setv(svec, svec_u, 'u', stripped=True)
setv(svec, svec_phi, 'phi', stripped=True)
vec = make_full(svec)
ii_u = vvs.di.indx['u'].start + vvs['u'].eq_map.eqi
ii_phi = vvs.di.indx['phi'].start + vvs['phi'].eq_map.eqi
ok_ebc = vvs.has_ebc(vec)
ok_u = nm.all(vec[ii_u] == svec_u)
ok_phi = nm.all(vec[ii_phi] == svec_phi)
msg = '%s: %s'
self.report(msg % ('ebc', ok_ebc))
self.report(msg % ('u', ok_u))
self.report(msg % ('phi', ok_phi))
ok = ok_ebc and ok_u and ok_phi
return ok
def test_ebc( self ):
import numpy as nm
from sfepy.discrete import Problem
pb = Problem.from_conf(self.test_conf)
pb.time_update()
vvs = pb.get_variables()
setv = vvs.set_state_part
make_full = vvs.make_full_vec
svec_u = nm.ones( (vvs.adi.n_dof['u'],), dtype = nm.float64 )
svec_phi = nm.empty( (vvs.adi.n_dof['phi'],), dtype = nm.float64 )
svec_phi.fill( 2.0 )
svec = vvs.create_stripped_state_vector()
setv( svec, svec_u, 'u', stripped = True )
setv( svec, svec_phi, 'phi', stripped = True )
vec = make_full( svec )
ii_u = vvs.di.indx['u'].start + vvs['u'].eq_map.eqi
ii_phi = vvs.di.indx['phi'].start + vvs['phi'].eq_map.eqi
ok_ebc = vvs.has_ebc( vec )
ok_u = nm.all( vec[ii_u] == svec_u )
ok_phi = nm.all( vec[ii_phi] == svec_phi )
msg = '%s: %s'
self.report( msg % ('ebc', ok_ebc) )
self.report( msg % ('u', ok_u) )
self.report( msg % ('phi', ok_phi) )
ok = ok_ebc and ok_u and ok_phi
return ok
def main():
# Aluminium and epoxy.
default_pars = '70e9,0.35,2.799e3, 3.8e9,0.27,1.142e3'
default_solver_conf = ("kind='eig.scipy',method='eigh',tol=1.0e-5,"
"maxiter=1000,which='LM',sigma=0.0")
parser = ArgumentParser(description=__doc__,
formatter_class=RawDescriptionHelpFormatter)
parser.add_argument('--pars',
metavar='young1,poisson1,density1'
',young2,poisson2,density2',
action='store',
dest='pars',
default=default_pars,
help=helps['pars'])
parser.add_argument('--conf',
metavar='filename',
action='store',
dest='conf',
default=None,
help=helps['conf'])
parser.add_argument('--mesh-size',
type=float,
metavar='float',
action='store',
dest='mesh_size',
default=None,
help=helps['mesh_size'])
parser.add_argument('--unit-multipliers',
metavar='c_time,c_length,c_mass',
action='store',
dest='unit_multipliers',
default='1.0,1.0,1.0',
help=helps['unit_multipliers'])
parser.add_argument('--plane',
action='store',
dest='plane',
choices=['strain', 'stress'],
default='strain',
help=helps['plane'])
parser.add_argument('--wave-dir',
metavar='float,float[,float]',
action='store',
dest='wave_dir',
default='1.0,0.0,0.0',
help=helps['wave_dir'])
parser.add_argument('--mode',
action='store',
dest='mode',
choices=['omega', 'kappa'],
default='omega',
help=helps['mode'])
parser.add_argument('--range',
metavar='start,stop,count',
action='store',
dest='range',
default='10,100,10',
help=helps['range'])
parser.add_argument('--order',
metavar='int',
type=int,
action='store',
dest='order',
default=1,
help=helps['order'])
parser.add_argument('--refine',
metavar='int',
type=int,
action='store',
dest='refine',
default=0,
help=helps['refine'])
parser.add_argument('-n',
'--n-eigs',
metavar='int',
type=int,
action='store',
dest='n_eigs',
default=6,
help=helps['n_eigs'])
parser.add_argument('--eigs-only',
action='store_true',
dest='eigs_only',
default=False,
help=helps['eigs_only'])
parser.add_argument('--solver-conf',
metavar='dict-like',
action='store',
dest='solver_conf',
default=default_solver_conf,
help=helps['solver_conf'])
parser.add_argument('--save-materials',
action='store_true',
dest='save_materials',
default=False,
help=helps['save_materials'])
parser.add_argument('--log-std-waves',
action='store_true',
dest='log_std_waves',
default=False,
help=helps['log_std_waves'])
parser.add_argument('--silent',
action='store_true',
dest='silent',
default=False,
help=helps['silent'])
parser.add_argument('-c',
'--clear',
action='store_true',
dest='clear',
default=False,
help=helps['clear'])
parser.add_argument('-o',
'--output-dir',
metavar='path',
action='store',
dest='output_dir',
default='output',
help=helps['output_dir'])
parser.add_argument('mesh_filename',
default='',
help=helps['mesh_filename'])
options = parser.parse_args()
output_dir = options.output_dir
output.set_output(filename=os.path.join(output_dir, 'output_log.txt'),
combined=options.silent == False)
if options.conf is not None:
mod = import_file(options.conf)
apply_units = mod.apply_units
define = mod.define
set_wave_dir = mod.set_wave_dir
else:
apply_units = apply_units_le
define = define_le
set_wave_dir = set_wave_dir_le
options.pars = [float(ii) for ii in options.pars.split(',')]
options.unit_multipliers = [
float(ii) for ii in options.unit_multipliers.split(',')
]
options.wave_dir = [float(ii) for ii in options.wave_dir.split(',')]
aux = options.range.split(',')
options.range = [float(aux[0]), float(aux[1]), int(aux[2])]
options.solver_conf = dict_from_string(options.solver_conf)
if options.clear:
remove_files_patterns(output_dir, ['*.h5', '*.vtk', '*.txt'],
ignores=['output_log.txt'],
verbose=True)
filename = os.path.join(output_dir, 'options.txt')
ensure_path(filename)
save_options(filename, [('options', vars(options))])
pars = apply_units(options.pars, options.unit_multipliers)
output('material parameters with applied unit multipliers:')
output(pars)
if options.mode == 'omega':
rng = copy(options.range)
rng[:2] = apply_unit_multipliers(options.range[:2],
['wave_number', 'wave_number'],
options.unit_multipliers)
output('wave number range with applied unit multipliers:', rng)
else:
rng = copy(options.range)
rng[:2] = apply_unit_multipliers(options.range[:2],
['frequency', 'frequency'],
options.unit_multipliers)
output('frequency range with applied unit multipliers:', rng)
define_problem = functools.partial(define,
filename_mesh=options.mesh_filename,
pars=pars,
approx_order=options.order,
refinement_level=options.refine,
solver_conf=options.solver_conf,
plane=options.plane)
conf = ProblemConf.from_dict(define_problem(), sys.modules[__name__])
pb = Problem.from_conf(conf)
dim = pb.domain.shape.dim
if dim != 2:
options.plane = 'strain'
wdir = nm.asarray(options.wave_dir[:dim], dtype=nm.float64)
wdir = wdir / nm.linalg.norm(wdir)
stepper = TimeStepper(rng[0], rng[1], dt=None, n_step=rng[2])
bbox = pb.domain.mesh.get_bounding_box()
size = (bbox[1] - bbox[0]).max()
scaling0 = apply_unit_multipliers([1.0], ['length'],
options.unit_multipliers)[0]
scaling = scaling0
if options.mesh_size is not None:
scaling *= options.mesh_size / size
output('scaling factor of periodic cell mesh coordinates:', scaling)
output('new mesh size with applied unit multipliers:', scaling * size)
pb.domain.mesh.coors[:] *= scaling
pb.set_mesh_coors(pb.domain.mesh.coors, update_fields=True)
bzone = 2.0 * nm.pi / (scaling * size)
output('1. Brillouin zone size:', bzone * scaling0)
output('1. Brillouin zone size with applied unit multipliers:', bzone)
pb.time_update()
pb.update_materials()
if options.save_materials or options.log_std_waves:
stiffness = pb.evaluate('ev_integrate_mat.2.Omega(m.D, u)',
mode='el_avg',
copy_materials=False,
verbose=False)
young, poisson = mc.youngpoisson_from_stiffness(stiffness,
plane=options.plane)
density = pb.evaluate('ev_integrate_mat.2.Omega(m.density, u)',
mode='el_avg',
copy_materials=False,
verbose=False)
if options.save_materials:
out = {}
out['young'] = Struct(name='young',
mode='cell',
data=young[..., None, None])
out['poisson'] = Struct(name='poisson',
mode='cell',
data=poisson[..., None, None])
out['density'] = Struct(name='density', mode='cell', data=density)
materials_filename = os.path.join(output_dir, 'materials.vtk')
pb.save_state(materials_filename, out=out)
# Set the normalized wave vector direction to the material(s).
set_wave_dir(pb.get_materials(), wdir)
conf = pb.solver_confs['eig']
eig_solver = Solver.any_from_conf(conf)
# Assemble the matrices.
mtx_m = pb.mtx_a.copy()
eq_m = pb.equations['M']
mtx_m = eq_m.evaluate(mode='weak', dw_mode='matrix', asm_obj=mtx_m)
mtx_m.eliminate_zeros()
mtx_k = pb.mtx_a.copy()
eq_k = pb.equations['K']
mtx_k = eq_k.evaluate(mode='weak', dw_mode='matrix', asm_obj=mtx_k)
mtx_k.eliminate_zeros()
mtx_s = pb.mtx_a.copy()
eq_s = pb.equations['S']
mtx_s = eq_s.evaluate(mode='weak', dw_mode='matrix', asm_obj=mtx_s)
mtx_s.eliminate_zeros()
mtx_r = pb.mtx_a.copy()
eq_r = pb.equations['R']
mtx_r = eq_r.evaluate(mode='weak', dw_mode='matrix', asm_obj=mtx_r)
mtx_r.eliminate_zeros()
output('symmetry checks of real blocks:')
output('M - M^T:', _max_diff_csr(mtx_m, mtx_m.T))
output('K - K^T:', _max_diff_csr(mtx_k, mtx_k.T))
output('S - S^T:', _max_diff_csr(mtx_s, mtx_s.T))
output('R + R^T:', _max_diff_csr(mtx_r, -mtx_r.T))
n_eigs = options.n_eigs
if options.n_eigs > mtx_k.shape[0]:
options.n_eigs = mtx_k.shape[0]
n_eigs = None
if options.mode == 'omega':
eigenshapes_filename = os.path.join(
output_dir, 'frequency-eigenshapes-%s.vtk' % stepper.suffix)
extra = []
extra_plot_kwargs = []
if options.log_std_waves:
lam, mu = mc.lame_from_youngpoisson(young,
poisson,
plane=options.plane)
alam = nm.average(lam)
amu = nm.average(mu)
adensity = nm.average(density)
cp = nm.sqrt((alam + 2.0 * amu) / adensity)
cs = nm.sqrt(amu / adensity)
output('average p-wave speed:', cp)
output('average shear wave speed:', cs)
extra = [r'$\omega_p$', r'$\omega_s$']
extra_plot_kwargs = [{
'ls': '--',
'color': 'k'
}, {
'ls': '--',
'color': 'gray'
}]
log = Log(
[[r'$\lambda_{%d}$' % ii for ii in range(options.n_eigs)],
[r'$\omega_{%d}$' % ii for ii in range(options.n_eigs)] + extra],
plot_kwargs=[{}, [{}] * options.n_eigs + extra_plot_kwargs],
yscales=['linear', 'linear'],
xlabels=[r'$\kappa$', r'$\kappa$'],
ylabels=[r'eigenvalues $\lambda_i$', r'frequencies $\omega_i$'],
log_filename=os.path.join(output_dir, 'frequencies.txt'),
aggregate=1000,
sleep=0.1)
for iv, wmag in stepper:
output('step %d: wave vector %s' % (iv, wmag * wdir))
mtx_a = mtx_k + wmag**2 * mtx_s + (1j * wmag) * mtx_r
mtx_b = mtx_m
output('A - A^H:', _max_diff_csr(mtx_a, mtx_a.H))
if options.eigs_only:
eigs = eig_solver(mtx_a,
mtx_b,
n_eigs=n_eigs,
eigenvectors=False)
svecs = None
else:
eigs, svecs = eig_solver(mtx_a,
mtx_b,
n_eigs=options.n_eigs,
eigenvectors=True)
omegas = nm.sqrt(eigs)
output('eigs, omegas:\n', nm.c_[eigs, omegas])
out = tuple(eigs) + tuple(omegas)
if options.log_std_waves:
out = out + (cp * wmag, cs * wmag)
log(*out, x=[wmag, wmag])
save_eigenvectors(eigenshapes_filename % iv, svecs, pb)
log(save_figure=os.path.join(output_dir, 'frequencies.png'))
log(finished=True)
else:
import scipy.sparse as sps
from sksparse.cholmod import cholesky
eigenshapes_filename = os.path.join(
output_dir, 'wave-number-eigenshapes-%s.vtk' % stepper.suffix)
factor = cholesky(mtx_s)
perm = factor.P()
ir = nm.arange(len(perm))
mtx_p = sps.coo_matrix((nm.ones_like(perm), (ir, perm)))
mtx_l = mtx_p.T * factor.L()
mtx_eye = sps.eye(mtx_l.shape[0], dtype=nm.float64)
output('S - LL^T:', _max_diff_csr(mtx_s, mtx_l * mtx_l.T))
log = Log([[r'$\kappa_{%d}$' % ii for ii in range(options.n_eigs)]],
plot_kwargs=[{
'ls': 'None',
'marker': 'o'
}],
yscales=['linear'],
xlabels=[r'$\omega$'],
ylabels=[r'wave numbers $\kappa_i$'],
log_filename=os.path.join(output_dir, 'wave-numbers.txt'),
aggregate=1000,
sleep=0.1)
for io, omega in stepper:
output('step %d: frequency %s' % (io, omega))
mtx_a = sps.bmat([[mtx_k - omega**2 * mtx_m, None],
[None, mtx_eye]])
mtx_b = sps.bmat([[1j * mtx_r, mtx_l], [mtx_l.T, None]])
output('A - A^T:', _max_diff_csr(mtx_a, mtx_a.T))
output('A - A^H:', _max_diff_csr(mtx_a, mtx_a.T))
output('B - B^H:', _max_diff_csr(mtx_b, mtx_b.H))
if options.eigs_only:
eigs = eig_solver(mtx_a,
mtx_b,
n_eigs=n_eigs,
eigenvectors=False)
svecs = None
else:
eigs, svecs = eig_solver(mtx_a,
mtx_b,
n_eigs=options.n_eigs,
eigenvectors=True)
kappas = eigs
output('kappas:\n', kappas[:, None])
out = tuple(kappas)
log(*out, x=[omega])
save_eigenvectors(eigenshapes_filename % io, svecs, pb)
log(save_figure=os.path.join(output_dir, 'wave-numbers.png'))
log(finished=True)
def recover_micro_hook(micro_filename, region, macro,
naming_scheme='step_iel',
recovery_file_tag='',
define_args=None):
# Create a micro-problem instance.
required, other = get_standard_keywords()
required.remove('equations')
conf = ProblemConf.from_file(micro_filename, required, other,
verbose=False, define_args=define_args)
coefs_filename = conf.options.get('coefs_filename', 'coefs')
output_dir = conf.options.get('output_dir', '.')
coefs_filename = op.join(output_dir, coefs_filename) + '.h5'
# Coefficients and correctors
coefs = Coefficients.from_file_hdf5(coefs_filename)
corrs = get_correctors_from_file(dump_names=coefs.dump_names)
recovery_hook = conf.options.get('recovery_hook', None)
if recovery_hook is not None:
recovery_hook = conf.get_function(recovery_hook)
pb = Problem.from_conf(conf, init_equations=False, init_solvers=False)
format = get_print_info(pb.domain.mesh.n_el, fill='0')[1]
for ii, iel in enumerate(region.cells):
print('ii: %d, iel: %d' % (ii, iel))
local_macro = {}
for k, v in six.iteritems(macro):
local_macro[k] = v[ii, 0]
out = recovery_hook(pb, corrs, local_macro)
if ii == 0:
new_keys = []
new_data = {}
new_idxs = []
for k in six.iterkeys(local_macro):
if k not in macro:
new_keys.append(k)
new_data[k] = []
new_idxs.append(ii)
for jj in new_keys:
new_data[jj].append(local_macro[jj])
# save data
if out is not None:
suffix = format % iel
micro_name = pb.get_output_name(extra='recovered_'
+ recovery_file_tag + suffix)
filename = op.join(output_dir, op.basename(micro_name))
fpv = pb.conf.options.get('file_per_var', False)
pb.save_state(filename, out=out,
file_per_var=fpv)
for jj in new_keys:
lout = new_data[jj]
macro[jj] = nm.zeros((nm.max(new_idxs) + 1, 1) + lout[0].shape,
dtype=lout[0].dtype)
out = macro[jj]
for kk, ii in enumerate(new_idxs):
out[ii, 0] = lout[kk]
def recover_micro_hook_eps(micro_filename, region,
eval_var, nodal_values, const_values, eps0,
recovery_file_tag='',
define_args=None):
# Create a micro-problem instance.
required, other = get_standard_keywords()
required.remove('equations')
conf = ProblemConf.from_file(micro_filename, required, other,
verbose=False, define_args=define_args)
coefs_filename = conf.options.get('coefs_filename', 'coefs')
output_dir = conf.options.get('output_dir', '.')
coefs_filename = op.join(output_dir, coefs_filename) + '.h5'
# Coefficients and correctors
coefs = Coefficients.from_file_hdf5(coefs_filename)
corrs = get_correctors_from_file(dump_names=coefs.dump_names)
recovery_hook = conf.options.get('recovery_hook', None)
if recovery_hook is not None:
recovery_hook = conf.get_function(recovery_hook)
pb = Problem.from_conf(conf, init_equations=False, init_solvers=False)
# Get tiling of a given region
rcoors = region.domain.mesh.coors[region.get_entities(0), :]
rcmin = nm.min(rcoors, axis=0)
rcmax = nm.max(rcoors, axis=0)
nn = nm.round((rcmax - rcmin) / eps0)
if nm.prod(nn) == 0:
output('inconsistency in recovery region and microstructure size!')
return
cs = []
for ii, n in enumerate(nn):
cs.append(nm.arange(n) * eps0 + rcmin[ii])
x0 = nm.empty((int(nm.prod(nn)), nn.shape[0]), dtype=nm.float64)
for ii, icoor in enumerate(nm.meshgrid(*cs, indexing='ij')):
x0[:, ii] = icoor.flatten()
mesh = pb.domain.mesh
coors, conn, outs, ndoffset = [], [], [], 0
# Recover region
for ii, c0 in enumerate(x0):
local_macro = {'eps0': eps0}
local_coors = pb.domain.mesh.coors * eps0 + c0
# Inside recovery region?
v = nm.ones((eval_var.field.region.entities[0].shape[0], 1))
v[region.entities[0]] = 0
no = nm.sum(v)
aux = eval_var.field.evaluate_at(local_coors, v)
if (nm.sum(aux) / no) > 1e-3:
continue
output('ii: %d' % ii)
for k, v in six.iteritems(nodal_values):
local_macro[k] = eval_var.field.evaluate_at(local_coors, v)
for k, v in six.iteritems(const_values):
local_macro[k] = v
outs.append(recovery_hook(pb, corrs, local_macro))
coors.append(local_coors)
conn.append(mesh.get_conn(mesh.descs[0]) + ndoffset)
ndoffset += mesh.n_nod
# Collect output variables
outvars = {}
for k, v in six.iteritems(outs[0]):
if v.var_name in outvars:
outvars[v.var_name].append(k)
else:
outvars[v.var_name] = [k]
# Split output by variables/regions
pvs = pb.create_variables(outvars.keys())
outregs = {k: pvs[k].field.region.get_entities(-1) for k in outvars.keys()}
nrve = len(coors)
coors = nm.vstack(coors)
ngroups = nm.tile(mesh.cmesh.vertex_groups.squeeze(), (nrve,))
conn = nm.vstack(conn)
cgroups = nm.tile(mesh.cmesh.cell_groups.squeeze(), (nrve,))
# Get region mesh and data
for k, cidxs in six.iteritems(outregs):
gcidxs = nm.hstack([cidxs + mesh.n_el * ii for ii in range(nrve)])
rconn = conn[gcidxs]
remap = -nm.ones((coors.shape[0],), dtype=nm.int32)
remap[rconn] = 1
vidxs = nm.where(remap > 0)[0]
remap[vidxs] = nm.arange(len(vidxs))
rconn = remap[rconn]
rcoors = coors[vidxs, :]
out = {}
for ifield in outvars[k]:
data = [outs[ii][ifield].data for ii in range(nrve)]
out[ifield] = Struct(name='output_data',
mode=outs[0][ifield].mode,
dofs=None,
var_name=k,
data=nm.vstack(data))
micro_name = pb.get_output_name(extra='recovered%s_%s'
% (recovery_file_tag, k))
filename = op.join(output_dir, op.basename(micro_name))
mesh_out = Mesh.from_data('recovery_%s' % k, rcoors, ngroups[vidxs],
[rconn], [cgroups[gcidxs]], [mesh.descs[0]])
mesh_out.write(filename, io='auto', out=out)
def generate_probes(filename_input, filename_results, options,
conf=None, problem=None, probes=None, labels=None,
probe_hooks=None):
"""
Generate probe figures and data files.
"""
if conf is None:
required, other = get_standard_keywords()
conf = ProblemConf.from_file(filename_input, required, other)
opts = conf.options
if options.auto_dir:
output_dir = opts.get_('output_dir', '.')
filename_results = os.path.join(output_dir, filename_results)
output('results in: %s' % filename_results)
io = MeshIO.any_from_filename(filename_results)
step = options.step if options.step >= 0 else io.read_last_step()
all_data = io.read_data(step)
output('loaded:', all_data.keys())
output('from step:', step)
if options.only_names is None:
data = all_data
else:
data = {}
for key, val in all_data.iteritems():
if key in options.only_names:
data[key] = val
if problem is None:
problem = Problem.from_conf(conf,
init_equations=False, init_solvers=False)
if probes is None:
gen_probes = conf.get_function(conf.options.gen_probes)
probes, labels = gen_probes(problem)
if probe_hooks is None:
probe_hooks = {None : conf.get_function(conf.options.probe_hook)}
if options.output_filename_trunk is None:
options.output_filename_trunk = problem.ofn_trunk
filename_template = options.output_filename_trunk \
+ ('_%%d.%s' % options.output_format)
if options.same_dir:
filename_template = os.path.join(os.path.dirname(filename_results),
filename_template)
output_dir = os.path.dirname(filename_results)
for ip, probe in enumerate(probes):
output(ip, probe.name)
probe.set_options(close_limit=options.close_limit)
for key, probe_hook in probe_hooks.iteritems():
out = probe_hook(data, probe, labels[ip], problem)
if out is None: continue
if isinstance(out, tuple):
fig, results = out
else:
fig = out
if key is not None:
filename = filename_template % (key, ip)
else:
filename = filename_template % ip
if fig is not None:
if isinstance(fig, dict):
for fig_name, fig_fig in fig.iteritems():
fig_filename = edit_filename(filename,
suffix='_' + fig_name)
fig_fig.savefig(fig_filename)
output('figure ->', os.path.normpath(fig_filename))
else:
fig.savefig(filename)
output('figure ->', os.path.normpath(filename))
if results is not None:
txt_filename = edit_filename(filename, new_ext='.txt')
write_results(txt_filename, probe, results)
output('data ->', os.path.normpath(txt_filename))
def main():
import os
from sfepy.base.base import spause, output
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.discrete import Problem
import sfepy.homogenization.coefs_base as cb
parser = ArgumentParser(description=__doc__)
parser.add_argument('--version', action='version', version='%(prog)s')
parser.add_argument('-n', '--no-pauses',
action="store_true", dest='no_pauses',
default=False, help=helps['no_pauses'])
options = parser.parse_args()
if options.no_pauses:
def spause(*args):
output(*args)
nm.set_printoptions(precision=3)
spause(r""">>>
First, this file will be read in place of an input
(problem description) file.
Press 'q' to quit the example, press any other key to continue...""")
required, other = get_standard_keywords()
required.remove('equations')
# Use this file as the input file.
conf = ProblemConf.from_file(__file__, required, other)
print(list(conf.to_dict().keys()))
spause(r""">>>
...the read input as a dict (keys only for brevity).
['q'/other key to quit/continue...]""")
spause(r""">>>
Now the input will be used to create a Problem instance.
['q'/other key to quit/continue...]""")
problem = Problem.from_conf(conf, init_equations=False)
# The homogenization mini-apps need the output_dir.
output_dir = ''
problem.output_dir = output_dir
print(problem)
spause(r""">>>
...the Problem instance.
['q'/other key to quit/continue...]""")
spause(r""">>>
The homogenized elastic coefficient $E_{ijkl}$ is expressed
using $\Pi$ operators, computed now. In fact, those operators are permuted
coordinates of the mesh nodes.
['q'/other key to quit/continue...]""")
req = conf.requirements['pis']
mini_app = cb.ShapeDimDim('pis', problem, req)
pis = mini_app()
print(pis)
spause(r""">>>
...the $\Pi$ operators.
['q'/other key to quit/continue...]""")
spause(r""">>>
Next, $E_{ijkl}$ needs so called steady state correctors $\bar{\omega}^{rs}$,
computed now.
['q'/other key to quit/continue...]""")
req = conf.requirements['corrs_rs']
save_name = req.get('save_name', '')
name = os.path.join(output_dir, save_name)
mini_app = cb.CorrDimDim('steady rs correctors', problem, req)
mini_app.setup_output(save_format='vtk',
file_per_var=False)
corrs_rs = mini_app(data={'pis': pis})
print(corrs_rs)
spause(r""">>>
...the $\bar{\omega}^{rs}$ correctors.
The results are saved in: %s.%s
Try to display them with:
python postproc.py %s.%s
['q'/other key to quit/continue...]""" % (2 * (name, problem.output_format)))
spause(r""">>>
Then the volume of the domain is needed.
['q'/other key to quit/continue...]""")
volume = problem.evaluate('d_volume.i3.Y(uc)')
print(volume)
spause(r""">>>
...the volume.
['q'/other key to quit/continue...]""")
spause(r""">>>
Finally, $E_{ijkl}$ can be computed.
['q'/other key to quit/continue...]""")
mini_app = cb.CoefSymSym('homogenized elastic tensor',
problem, conf.coefs['E'])
c_e = mini_app(volume, data={'pis': pis, 'corrs_rs' : corrs_rs})
print(r""">>>
The homogenized elastic coefficient $E_{ijkl}$, symmetric storage
with rows, columns in 11, 22, 12 ordering:""")
print(c_e)
def init_subproblems(self, conf, **kwargs):
from sfepy.discrete.state import State
from sfepy.discrete import Problem
from sfepy.base.conf import ProblemConf, get_standard_keywords
from scipy.spatial import cKDTree as KDTree
# init subproblems
problem = self.context
pb_vars = problem.get_variables()
# get "master" DofInfo and last index
pb_adi_indx = problem.equations.variables.adi.indx
self.adi_indx = pb_adi_indx.copy()
last_indx = -1
for ii in six.itervalues(self.adi_indx):
last_indx = nm.max([last_indx, ii.stop])
# coupling variables
self.cvars_to_pb = {}
for jj in conf.coupling_variables:
self.cvars_to_pb[jj] = [None, None]
if jj in pb_vars.names:
if pb_vars[jj].dual_var_name is not None:
self.cvars_to_pb[jj][0] = -1
else:
self.cvars_to_pb[jj][1] = -1
# init subproblems
self.subpb = []
required, other = get_standard_keywords()
master_prefix = output.get_output_prefix()
for ii, ifname in enumerate(conf.others):
sub_prefix = master_prefix[:-1] + '-sub%d:' % (ii + 1)
output.set_output_prefix(sub_prefix)
kwargs['master_problem'] = problem
confi = ProblemConf.from_file(ifname,
required,
other,
define_args=kwargs)
pbi = Problem.from_conf(confi, init_equations=True)
sti = State(pbi.equations.variables)
pbi.equations.set_data(None, ignore_unknown=True)
pbi.time_update()
pbi.update_materials()
sti.apply_ebc()
pbi_vars = pbi.get_variables()
output.set_output_prefix(master_prefix)
self.subpb.append([pbi, sti, None])
# append "slave" DofInfo
for jj in pbi_vars.names:
if not (pbi_vars[jj].is_state()):
continue
didx = pbi.equations.variables.adi.indx[jj]
ndof = didx.stop - didx.start
if jj in self.adi_indx:
if ndof != \
(self.adi_indx[jj].stop - self.adi_indx[jj].start):
raise ValueError('DOFs do not match!')
else:
self.adi_indx.update(
{jj: slice(last_indx, last_indx + ndof, None)})
last_indx += ndof
for jj in conf.coupling_variables:
if jj in pbi_vars.names:
if pbi_vars[jj].dual_var_name is not None:
self.cvars_to_pb[jj][0] = ii
else:
self.cvars_to_pb[jj][1] = ii
self.subpb.append([problem, None, None])
self.cvars_to_pb_map = {}
for varname, pbs in six.iteritems(self.cvars_to_pb):
# match field nodes
coors = []
for ii in pbs:
pbi = self.subpb[ii][0]
pbi_vars = pbi.get_variables()
fcoors = pbi_vars[varname].field.coors
dc = nm.abs(nm.max(fcoors, axis=0)\
- nm.min(fcoors, axis=0))
ax = nm.where(dc > 1e-9)[0]
coors.append(fcoors[:, ax])
if len(coors[0]) != len(coors[1]):
raise ValueError('number of nodes does not match!')
kdtree = KDTree(coors[0])
map_12 = kdtree.query(coors[1])[1]
pbi1 = self.subpb[pbs[0]][0]
pbi1_vars = pbi1.get_variables()
eq_map_1 = pbi1_vars[varname].eq_map
pbi2 = self.subpb[pbs[1]][0]
pbi2_vars = pbi2.get_variables()
eq_map_2 = pbi2_vars[varname].eq_map
dpn = eq_map_2.dpn
nnd = map_12.shape[0]
map_12_nd = nm.zeros((nnd * dpn, ), dtype=nm.int32)
if dpn > 1:
for ii in range(dpn):
map_12_nd[ii::dpn] = map_12 * dpn + ii
else:
map_12_nd = map_12
idx = nm.where(eq_map_2.eq >= 0)[0]
self.cvars_to_pb_map[varname] = eq_map_1.eq[map_12[idx]]
def recover_micro_hook(micro_filename, region, macro,
naming_scheme='step_iel',
recovery_file_tag='',
define_args=None, verbose=False):
# Create a micro-problem instance.
required, other = get_standard_keywords()
required.remove('equations')
conf = ProblemConf.from_file(micro_filename, required, other,
verbose=False, define_args=define_args)
coefs_filename = conf.options.get('coefs_filename', 'coefs')
output_dir = conf.options.get('output_dir', '.')
coefs_filename = op.join(output_dir, coefs_filename) + '.h5'
# Coefficients and correctors
coefs = Coefficients.from_file_hdf5(coefs_filename)
corrs = get_correctors_from_file(dump_names=coefs.dump_names)
recovery_hook = conf.options.get('recovery_hook', None)
if recovery_hook is not None:
recovery_hook = conf.get_function(recovery_hook)
pb = Problem.from_conf(conf, init_equations=False, init_solvers=False)
format = get_print_info(pb.domain.mesh.n_el, fill='0')[1]
output('recovering microsctructures...')
tt = time.clock()
output_fun = output.output_function
output_level = output.level
for ii, iel in enumerate(region.cells):
output.level = output_level
output('micro: %d (el=%d)' % (ii, iel))
local_macro = {}
for k, v in six.iteritems(macro):
local_macro[k] = v[ii, 0]
output.set_output(quiet=not(verbose))
out = recovery_hook(pb, corrs, local_macro)
output.output_function = output_fun
if ii == 0:
new_keys = []
new_data = {}
new_idxs = []
for k in six.iterkeys(local_macro):
if k not in macro:
new_keys.append(k)
new_data[k] = []
new_idxs.append(ii)
for jj in new_keys:
new_data[jj].append(local_macro[jj])
# save data
if out is not None:
suffix = format % iel
micro_name = pb.get_output_name(extra='recovered_'
+ recovery_file_tag + suffix)
filename = op.join(output_dir, op.basename(micro_name))
fpv = pb.conf.options.get('file_per_var', False)
pb.save_state(filename, out=out,
file_per_var=fpv)
output('...done in %.2f s' % (time.clock() - tt))
for jj in new_keys:
lout = new_data[jj]
macro[jj] = nm.zeros((nm.max(new_idxs) + 1, 1) + lout[0].shape,
dtype=lout[0].dtype)
out = macro[jj]
for kk, ii in enumerate(new_idxs):
out[ii, 0] = lout[kk]
def generate_probes(filename_input,
filename_results,
options,
conf=None,
problem=None,
probes=None,
labels=None,
probe_hooks=None):
"""
Generate probe figures and data files.
"""
if conf is None:
required, other = get_standard_keywords()
conf = ProblemConf.from_file(filename_input, required, other)
opts = conf.options
if options.auto_dir:
output_dir = opts.get_('output_dir', '.')
filename_results = os.path.join(output_dir, filename_results)
output('results in: %s' % filename_results)
io = MeshIO.any_from_filename(filename_results)
step = options.step if options.step >= 0 else io.read_last_step()
all_data = io.read_data(step)
output('loaded:', list(all_data.keys()))
output('from step:', step)
if options.only_names is None:
data = all_data
else:
data = {}
for key, val in six.iteritems(all_data):
if key in options.only_names:
data[key] = val
if problem is None:
problem = Problem.from_conf(conf,
init_equations=False,
init_solvers=False)
if probes is None:
gen_probes = conf.get_function(conf.options.gen_probes)
probes, labels = gen_probes(problem)
if probe_hooks is None:
probe_hooks = {None: conf.get_function(conf.options.probe_hook)}
if options.output_filename_trunk is None:
options.output_filename_trunk = problem.ofn_trunk
filename_template = options.output_filename_trunk \
+ ('_%%d.%s' % options.output_format)
if options.same_dir:
filename_template = os.path.join(os.path.dirname(filename_results),
filename_template)
output_dir = os.path.dirname(filename_results)
for ip, probe in enumerate(probes):
output(ip, probe.name)
probe.set_options(close_limit=options.close_limit)
for key, probe_hook in six.iteritems(probe_hooks):
out = probe_hook(data, probe, labels[ip], problem)
if out is None: continue
if isinstance(out, tuple):
fig, results = out
else:
fig = out
if key is not None:
filename = filename_template % (key, ip)
else:
filename = filename_template % ip
if fig is not None:
if isinstance(fig, dict):
for fig_name, fig_fig in six.iteritems(fig):
fig_filename = edit_filename(filename,
suffix='_' + fig_name)
fig_fig.savefig(fig_filename)
output('figure ->', os.path.normpath(fig_filename))
else:
fig.savefig(filename)
output('figure ->', os.path.normpath(filename))
if results is not None:
txt_filename = edit_filename(filename, new_ext='.txt')
write_results(txt_filename, probe, results)
output('data ->', os.path.normpath(txt_filename))
def recover_micro_hook_eps(micro_filename, region,
eval_var, nodal_values, const_values, eps0,
recovery_file_tag='',
define_args=None, verbose=False):
# Create a micro-problem instance.
required, other = get_standard_keywords()
required.remove('equations')
conf = ProblemConf.from_file(micro_filename, required, other,
verbose=False, define_args=define_args)
coefs_filename = conf.options.get('coefs_filename', 'coefs')
output_dir = conf.options.get('output_dir', '.')
coefs_filename = op.join(output_dir, coefs_filename) + '.h5'
# Coefficients and correctors
coefs = Coefficients.from_file_hdf5(coefs_filename)
corrs = get_correctors_from_file(dump_names=coefs.dump_names)
recovery_hook = conf.options.get('recovery_hook', None)
if recovery_hook is not None:
recovery_hook = conf.get_function(recovery_hook)
pb = Problem.from_conf(conf, init_equations=False, init_solvers=False)
# Get tiling of a given region
rcoors = region.domain.mesh.coors[region.get_entities(0), :]
rcmin = nm.min(rcoors, axis=0)
rcmax = nm.max(rcoors, axis=0)
nn = nm.round((rcmax - rcmin) / eps0)
if nm.prod(nn) == 0:
output('inconsistency in recovery region and microstructure size!')
return
cs = []
for ii, n in enumerate(nn):
cs.append(nm.arange(n) * eps0 + rcmin[ii])
x0 = nm.empty((int(nm.prod(nn)), nn.shape[0]), dtype=nm.float64)
for ii, icoor in enumerate(nm.meshgrid(*cs, indexing='ij')):
x0[:, ii] = icoor.flatten()
mesh = pb.domain.mesh
coors, conn, outs, ndoffset = [], [], [], 0
# Recover region
mic_coors = (mesh.coors - mesh.get_bounding_box()[0, :]) * eps0
evfield = eval_var.field
output('recovering microsctructures...')
tt = time.clock()
output_fun = output.output_function
output_level = output.level
for ii, c0 in enumerate(x0):
local_macro = {'eps0': eps0}
local_coors = mic_coors + c0
# Inside recovery region?
v = nm.ones((evfield.region.entities[0].shape[0], 1))
v[evfield.vertex_remap[region.entities[0]]] = 0
no = nm.sum(v)
aux = evfield.evaluate_at(local_coors, v)
if (nm.sum(aux) / no) > 1e-3:
continue
output.level = output_level
output('micro: %d' % ii)
for k, v in six.iteritems(nodal_values):
local_macro[k] = evfield.evaluate_at(local_coors, v)
for k, v in six.iteritems(const_values):
local_macro[k] = v
output.set_output(quiet=not(verbose))
outs.append(recovery_hook(pb, corrs, local_macro))
output.output_function = output_fun
coors.append(local_coors)
conn.append(mesh.get_conn(mesh.descs[0]) + ndoffset)
ndoffset += mesh.n_nod
output('...done in %.2f s' % (time.clock() - tt))
# Collect output variables
outvars = {}
for k, v in six.iteritems(outs[0]):
if v.var_name in outvars:
outvars[v.var_name].append(k)
else:
outvars[v.var_name] = [k]
# Split output by variables/regions
pvs = pb.create_variables(outvars.keys())
outregs = {k: pvs[k].field.region.get_entities(-1) for k in outvars.keys()}
nrve = len(coors)
coors = nm.vstack(coors)
ngroups = nm.tile(mesh.cmesh.vertex_groups.squeeze(), (nrve,))
conn = nm.vstack(conn)
cgroups = nm.tile(mesh.cmesh.cell_groups.squeeze(), (nrve,))
# Get region mesh and data
for k, cidxs in six.iteritems(outregs):
gcidxs = nm.hstack([cidxs + mesh.n_el * ii for ii in range(nrve)])
rconn = conn[gcidxs]
remap = -nm.ones((coors.shape[0],), dtype=nm.int32)
remap[rconn] = 1
vidxs = nm.where(remap > 0)[0]
remap[vidxs] = nm.arange(len(vidxs))
rconn = remap[rconn]
rcoors = coors[vidxs, :]
out = {}
for ifield in outvars[k]:
data = [outs[ii][ifield].data for ii in range(nrve)]
out[ifield] = Struct(name='output_data',
mode=outs[0][ifield].mode,
dofs=None,
var_name=k,
data=nm.vstack(data))
micro_name = pb.get_output_name(extra='recovered%s_%s'
% (recovery_file_tag, k))
filename = op.join(output_dir, op.basename(micro_name))
mesh_out = Mesh.from_data('recovery_%s' % k, rcoors, ngroups[vidxs],
[rconn], [cgroups[gcidxs]], [mesh.descs[0]])
mesh_out.write(filename, io='auto', out=out)
def __init__(self, conf, problem, **kwargs):
from sfepy.discrete.state import State
from sfepy.discrete import Problem
from sfepy.base.conf import ProblemConf, get_standard_keywords
from scipy.spatial import cKDTree as KDTree
ScipyDirect.__init__(self, conf, **kwargs)
# init subproblems
pb_vars = problem.get_variables()
# get "master" DofInfo and last index
pb_adi_indx = problem.equations.variables.adi.indx
self.adi_indx = pb_adi_indx.copy()
last_indx = -1
for ii in self.adi_indx.itervalues():
last_indx = nm.max([last_indx, ii.stop])
# coupling variables
self.cvars_to_pb = {}
for jj in conf.coupling_variables:
self.cvars_to_pb[jj] = [None, None]
if jj in pb_vars.names:
if pb_vars[jj].dual_var_name is not None:
self.cvars_to_pb[jj][0] = -1
else:
self.cvars_to_pb[jj][1] = -1
# init subproblems
self.subpb = []
required, other = get_standard_keywords()
master_prefix = output.get_output_prefix()
for ii, ifname in enumerate(conf.others):
sub_prefix = master_prefix[:-1] + '-sub%d:' % (ii + 1)
output.set_output_prefix(sub_prefix)
kwargs['master_problem'] = problem
confi = ProblemConf.from_file(ifname, required, other,
define_args=kwargs)
pbi = Problem.from_conf(confi, init_equations=True)
sti = State(pbi.equations.variables)
pbi.equations.set_data(None, ignore_unknown=True)
pbi.time_update()
pbi.update_materials()
sti.apply_ebc()
pbi_vars = pbi.get_variables()
output.set_output_prefix(master_prefix)
self.subpb.append([pbi, sti, None])
# append "slave" DofInfo
for jj in pbi_vars.names:
if not(pbi_vars[jj].is_state()):
continue
didx = pbi.equations.variables.adi.indx[jj]
ndof = didx.stop - didx.start
if jj in self.adi_indx:
if ndof != \
(self.adi_indx[jj].stop - self.adi_indx[jj].start):
raise ValueError('DOFs do not match!')
else:
self.adi_indx.update({
jj: slice(last_indx, last_indx + ndof, None)})
last_indx += ndof
for jj in conf.coupling_variables:
if jj in pbi_vars.names:
if pbi_vars[jj].dual_var_name is not None:
self.cvars_to_pb[jj][0] = ii
else:
self.cvars_to_pb[jj][1] = ii
self.subpb.append([problem, None, None])
self.cvars_to_pb_map = {}
for varname, pbs in self.cvars_to_pb.iteritems():
# match field nodes
coors = []
for ii in pbs:
pbi = self.subpb[ii][0]
pbi_vars = pbi.get_variables()
fcoors = pbi_vars[varname].field.coors
dc = nm.abs(nm.max(fcoors, axis=0)\
- nm.min(fcoors, axis=0))
ax = nm.where(dc > 1e-9)[0]
coors.append(fcoors[:,ax])
if len(coors[0]) != len(coors[1]):
raise ValueError('number of nodes does not match!')
kdtree = KDTree(coors[0])
map_12 = kdtree.query(coors[1])[1]
pbi1 = self.subpb[pbs[0]][0]
pbi1_vars = pbi1.get_variables()
eq_map_1 = pbi1_vars[varname].eq_map
pbi2 = self.subpb[pbs[1]][0]
pbi2_vars = pbi2.get_variables()
eq_map_2 = pbi2_vars[varname].eq_map
dpn = eq_map_2.dpn
nnd = map_12.shape[0]
map_12_nd = nm.zeros((nnd * dpn,), dtype=nm.int32)
if dpn > 1:
for ii in range(dpn):
map_12_nd[ii::dpn] = map_12 * dpn + ii
else:
map_12_nd = map_12
idx = nm.where(eq_map_2.eq >= 0)[0]
self.cvars_to_pb_map[varname] = eq_map_1.eq[map_12[idx]]
def main():
import os
from sfepy.base.base import spause, output
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.discrete import Problem
import sfepy.homogenization.coefs_base as cb
parser = OptionParser(usage=usage, version='%prog')
parser.add_option('-n', '--no-pauses',
action="store_true", dest='no_pauses',
default=False, help=help['no_pauses'])
options, args = parser.parse_args()
if options.no_pauses:
def spause(*args):
output(*args)
nm.set_printoptions(precision=3)
spause(r""">>>
First, this file will be read in place of an input
(problem description) file.
Press 'q' to quit the example, press any other key to continue...""")
required, other = get_standard_keywords()
required.remove('equations')
# Use this file as the input file.
conf = ProblemConf.from_file(__file__, required, other)
print(list(conf.to_dict().keys()))
spause(r""">>>
...the read input as a dict (keys only for brevity).
['q'/other key to quit/continue...]""")
spause(r""">>>
Now the input will be used to create a Problem instance.
['q'/other key to quit/continue...]""")
problem = Problem.from_conf(conf, init_equations=False)
# The homogenization mini-apps need the output_dir.
output_dir = ''
problem.output_dir = output_dir
print(problem)
spause(r""">>>
...the Problem instance.
['q'/other key to quit/continue...]""")
spause(r""">>>
The homogenized elastic coefficient $E_{ijkl}$ is expressed
using $\Pi$ operators, computed now. In fact, those operators are permuted
coordinates of the mesh nodes.
['q'/other key to quit/continue...]""")
req = conf.requirements['pis']
mini_app = cb.ShapeDimDim('pis', problem, req)
pis = mini_app()
print(pis)
spause(r""">>>
...the $\Pi$ operators.
['q'/other key to quit/continue...]""")
spause(r""">>>
Next, $E_{ijkl}$ needs so called steady state correctors $\bar{\omega}^{rs}$,
computed now.
['q'/other key to quit/continue...]""")
req = conf.requirements['corrs_rs']
save_name = req.get('save_name', '')
name = os.path.join(output_dir, save_name)
mini_app = cb.CorrDimDim('steady rs correctors', problem, req)
mini_app.setup_output(save_format='vtk',
file_per_var=False)
corrs_rs = mini_app(data={'pis': pis})
print(corrs_rs)
spause(r""">>>
...the $\bar{\omega}^{rs}$ correctors.
The results are saved in: %s.%s
Try to display them with:
python postproc.py %s.%s
['q'/other key to quit/continue...]""" % (2 * (name, problem.output_format)))
spause(r""">>>
Then the volume of the domain is needed.
['q'/other key to quit/continue...]""")
volume = problem.evaluate('d_volume.i3.Y(uc)')
print(volume)
spause(r""">>>
...the volume.
['q'/other key to quit/continue...]""")
spause(r""">>>
Finally, $E_{ijkl}$ can be computed.
['q'/other key to quit/continue...]""")
mini_app = cb.CoefSymSym('homogenized elastic tensor',
problem, conf.coefs['E'])
c_e = mini_app(volume, data={'pis': pis, 'corrs_rs' : corrs_rs})
print(r""">>>
The homogenized elastic coefficient $E_{ijkl}$, symmetric storage
with rows, columns in 11, 22, 12 ordering:""")
print(c_e)
