def test_boundary_fluxes( self ):
import os.path as op
from sfepy.linalg import rotation_matrix2d
from sfepy.fem.evaluate import BasicEvaluator
from sfepy.fem import Material
problem = self.problem
angles = [0, 30, 45]
region_names = ['Left', 'Right', 'Gamma']
values = [5.0, -5.0, 0.0]
variables = problem.get_variables()
get_state = variables.get_state_part_view
state = self.state.copy(deep=True)
problem.time_update(ebcs={}, epbcs={})
# problem.save_ebc( 'aux.vtk' )
state.apply_ebc()
ev = BasicEvaluator( problem )
aux = ev.eval_residual(state())
field = variables['t'].field
conf_m = problem.conf.get_item_by_name('materials', 'm')
m = Material.from_conf(conf_m, problem.functions)
name = op.join( self.options.out_dir,
op.split( problem.domain.mesh.name )[1] + '_%02d.mesh' )
orig_coors = problem.get_mesh_coors().copy()
ok = True
for ia, angle in enumerate( angles ):
self.report( '%d: mesh rotation %d degrees' % (ia, angle) )
problem.domain.mesh.transform_coors( rotation_matrix2d( angle ),
ref_coors = orig_coors )
problem.set_mesh_coors(problem.domain.mesh.coors,
update_fields=True)
problem.domain.mesh.write( name % angle, io = 'auto' )
for ii, region_name in enumerate( region_names ):
flux_term = 'd_surface_flux.i2.%s( m.K, t )' % region_name
val1 = problem.evaluate(flux_term, t=variables['t'], m=m)
rvec = get_state( aux, 't', True )
reg = problem.domain.regions[region_name]
nods = field.get_dofs_in_region(reg, merge=True)
val2 = rvec[nods].sum() # Assume 1 dof per node.
ok = ok and ((abs( val1 - values[ii] ) < 1e-10) and
(abs( val2 - values[ii] ) < 1e-10))
self.report( ' %d. %s: %e == %e == %e'\
% (ii, region_name, val1, val2, values[ii]) )
# Restore original coordinates.
problem.domain.mesh.transform_coors(rotation_matrix2d(0),
ref_coors=orig_coors)
problem.set_mesh_coors(problem.domain.mesh.coors,
update_fields=True)
return ok
def test_boundary_fluxes(self):
import os.path as op
from sfepy.linalg import rotation_matrix2d
from sfepy.fem.evaluate import BasicEvaluator
from sfepy.fem import Material
problem = self.problem
angles = [0, 30, 45]
region_names = ['Left', 'Right', 'Gamma']
values = [5.0, -5.0, 0.0]
variables = problem.get_variables()
get_state = variables.get_state_part_view
state = self.state.copy(deep=True)
problem.time_update(ebcs={}, epbcs={})
# problem.save_ebc( 'aux.vtk' )
state.apply_ebc()
ev = BasicEvaluator(problem)
aux = ev.eval_residual(state())
field = variables['t'].field
conf_m = problem.conf.get_item_by_name('materials', 'm')
m = Material.from_conf(conf_m, problem.functions)
name = op.join(self.options.out_dir,
op.split(problem.domain.mesh.name)[1] + '_%02d.mesh')
orig_coors = problem.get_mesh_coors().copy()
ok = True
for ia, angle in enumerate(angles):
self.report('%d: mesh rotation %d degrees' % (ia, angle))
problem.domain.mesh.transform_coors(rotation_matrix2d(angle),
ref_coors=orig_coors)
problem.set_mesh_coors(problem.domain.mesh.coors,
update_fields=True)
problem.domain.mesh.write(name % angle, io='auto')
for ii, region_name in enumerate(region_names):
flux_term = 'd_surface_flux.i2.%s( m.K, t )' % region_name
val1 = problem.evaluate(flux_term, t=variables['t'], m=m)
rvec = get_state(aux, 't', True)
reg = problem.domain.regions[region_name]
nods = field.get_dofs_in_region(reg, merge=True)
val2 = rvec[nods].sum() # Assume 1 dof per node.
ok = ok and ((abs(val1 - values[ii]) < 1e-10) and
(abs(val2 - values[ii]) < 1e-10))
self.report( ' %d. %s: %e == %e == %e'\
% (ii, region_name, val1, val2, values[ii]) )
# Restore original coordinates.
problem.domain.mesh.transform_coors(rotation_matrix2d(0),
ref_coors=orig_coors)
problem.set_mesh_coors(problem.domain.mesh.coors, update_fields=True)
return ok
def test_boundary_fluxes( self ):
import os.path as op
from sfepy.base.base import Struct
from sfepy.linalg import rotation_matrix2d
from sfepy.fem.evaluate import BasicEvaluator
problem = self.problem
vec = self.vec
angles = [0, 30, 45]
region_names = ['Left', 'Right', 'Gamma']
values = [5.0, -5.0, 0.0]
variables = problem.get_variables()
get_state = variables.get_state_part_view
state = vec.copy()
problem.time_update(ebcs={}, epbcs={})
# problem.save_ebc( 'aux.vtk' )
problem.apply_ebc( state )
ev = BasicEvaluator( problem )
aux = ev.eval_residual( state )
field = variables['t'].field
name = op.join( self.options.out_dir,
op.split( problem.domain.mesh.name )[1] + '_%02d.mesh' )
orig_coors = problem.get_mesh_coors().copy()
ok = True
for ia, angle in enumerate( angles ):
self.report( '%d: mesh rotation %d degrees' % (ia, angle) )
problem.domain.mesh.transform_coors( rotation_matrix2d( angle ),
ref_coors = orig_coors )
problem.domain.mesh.write( name % angle, io = 'auto' )
for ii, region_name in enumerate( region_names ):
flux_term = 'd_hdpm_surfdvel.i2.%s( m.K, t )' % region_name
val1 = problem.evaluate(flux_term, t=variables['t'])
rvec = get_state( aux, 't', True )
reg = problem.domain.regions[region_name]
nods = reg.get_field_nodes( field, merge = True )
val2 = rvec[nods].sum() # Assume 1 dof per node.
ok = ok and ((abs( val1 - values[ii] ) < 1e-10) and
(abs( val2 - values[ii] ) < 1e-10))
self.report( ' %d. %s: %e == %e == %e'\
% (ii, region_name, val1, val2, values[ii]) )
return ok
def test_boundary_fluxes(self):
from sfepy.fem.evaluate import BasicEvaluator
from sfepy.fem import Material
problem = self.problem
region_names = ['Gamma']
variables = problem.get_variables()
get_state = variables.get_state_part_view
state = self.state.copy(deep=True)
problem.time_update(ebcs={}, epbcs={})
## problem.save_ebc( 'aux.vtk' )
state.apply_ebc()
ev = BasicEvaluator(problem)
aux = ev.eval_residual(state())
field = variables['t'].field
conf_m = problem.conf.get_item_by_name('materials', 'm')
m = Material.from_conf(conf_m, problem.functions)
ok = True
for ii, region_name in enumerate(region_names):
flux_term = 'd_surface_flux.1.%s( m.K, t )' % region_name
val1 = problem.evaluate(flux_term, t=variables['t'], m=m)
rvec = get_state(aux, 't', True)
reg = problem.domain.regions[region_name]
nods = field.get_dofs_in_region(reg, merge=True)
val2 = rvec[nods].sum() # Assume 1 dof per node.
eps = 1e-2
ok = ok and ((abs(val1 - val2) < eps))
self.report( '%d. %s: |%e - %e| = %e < %.2e'\
% (ii, region_name, val1, val2, abs( val1 - val2 ),
eps) )
return ok
def test_boundary_fluxes( self ):
from sfepy.fem.evaluate import BasicEvaluator
from sfepy.fem import Material
problem = self.problem
region_names = ['Gamma']
variables = problem.get_variables()
get_state = variables.get_state_part_view
state = self.state.copy(deep=True)
problem.time_update(ebcs={}, epbcs={})
## problem.save_ebc( 'aux.vtk' )
state.apply_ebc()
ev = BasicEvaluator( problem )
aux = ev.eval_residual(state())
field = variables['t'].field
conf_m = problem.conf.get_item_by_name('materials', 'm')
m = Material.from_conf(conf_m, problem.functions)
ok = True
for ii, region_name in enumerate( region_names ):
flux_term = 'd_surface_flux.1.%s( m.K, t )' % region_name
val1 = problem.evaluate(flux_term, t=variables['t'], m=m)
rvec = get_state( aux, 't', True )
reg = problem.domain.regions[region_name]
nods = field.get_dofs_in_region(reg, merge=True)
val2 = rvec[nods].sum() # Assume 1 dof per node.
eps = 1e-2
ok = ok and ((abs( val1 - val2 ) < eps))
self.report( '%d. %s: |%e - %e| = %e < %.2e'\
% (ii, region_name, val1, val2, abs( val1 - val2 ),
eps) )
return ok
def test_boundary_fluxes( self ):
from sfepy.base.base import Struct
from sfepy.fem.evaluate import BasicEvaluator
problem = self.problem
vec = self.vec
region_names = ['Gamma']
variables = problem.get_variables()
get_state = variables.get_state_part_view
state = vec.copy()
problem.time_update(ebcs={}, epbcs={})
## problem.save_ebc( 'aux.vtk' )
problem.apply_ebc( state )
ev = BasicEvaluator( problem )
aux = ev.eval_residual( state )
field = variables['t'].field
ok = True
for ii, region_name in enumerate( region_names ):
flux_term = 'd_hdpm_surfdvel.1.%s( m.K, t )' % region_name
val1 = problem.evaluate(flux_term, t=variables['t'])
rvec = get_state( aux, 't', True )
reg = problem.domain.regions[region_name]
nods = reg.get_field_nodes( field, merge = True )
val2 = rvec[nods].sum() # Assume 1 dof per node.
eps = 1e-2
ok = ok and ((abs( val1 - val2 ) < eps))
self.report( '%d. %s: |%e - %e| = %e < %.2e'\
% (ii, region_name, val1, val2, abs( val1 - val2 ),
eps) )
return ok
def get_evaluator(self, reuse=False):
"""
Either create a new Evaluator instance (reuse == False),
or return an existing instance, created in a preceding call to
ProblemDefinition.init_solvers().
"""
if reuse:
try:
ev = self.evaluator
except AttributeError:
raise AttributeError('call ProblemDefinition.init_solvers() or'\
' set reuse to False!')
else:
if self.equations.variables.has_lcbc:
ev = LCBCEvaluator(self, matrix_hook=self.matrix_hook)
else:
ev = BasicEvaluator(self, matrix_hook=self.matrix_hook)
self.evaluator = ev
return ev
def solve_navier_stokes(conf, options):
opts = conf.options
dpb = ProblemDefinition.from_conf(conf, init_equations=False)
equations = getattr(conf, '_'.join(('equations_direct', opts.problem)))
dpb.set_equations(equations)
ls_conf = dpb.get_solver_conf(opts.ls)
nls_conf = dpb.get_solver_conf(opts.nls_direct)
method = opts.direct_method
if method == 'stationary':
data = {}
dpb.time_update(None)
state_dp = dpb.solve(nls_conf=nls_conf)
elif method == 'transient':
ls = Solver.any_from_conf(ls_conf)
ts_conf = dpb.get_solver_conf(opts.ts_direct)
data = {'ts': Struct(dt=ts_conf.dt)}
# Plug in mass term.
mequations = {}
for key, eq in equations.iteritems():
if 'dw_div_grad' in eq:
eq = '+'.join((ts_conf.mass_term, eq)).replace('++', '+')
mequations[key] = eq
if ts_conf.stokes_init:
state_dp0 = solve_stokes(dpb, conf.equations_direct_stokes,
nls_conf)
dpb.set_equations(mequations)
else:
dpb.set_equations(mequations)
state_dp0 = dpb.create_state()
dpb.time_update(None)
state_dp0.apply_ebc()
from sfepy.base.log import Log
log = Log.from_conf(Struct(is_plot=True), ([r'$||u||$'], [r'$||p||$']))
output('Navier-Stokes...')
ev = BasicEvaluator(dpb, ts=Struct(dt=ts_conf.dt))
nls = Solver.any_from_conf(nls_conf, evaluator=ev, lin_solver=ls)
n_step = ts_conf.n_step
step = 0
while 1:
for ii in xrange(n_step):
output(step)
vec_u = state_dp0('w')
vec_p = state_dp0('r')
log(nm.linalg.norm(vec_u), nm.linalg.norm(vec_p))
dpb.variables.non_state_data_from_state(
'w_0', state_dp0(), 'w')
vec_dp = nls(state_dp0())
step += 1
state_dp = state_dp0.copy()
state_dp.set_reduced(vec_dp)
state_dp0 = state_dp
if ts_conf.interactive:
try:
n_step = int(raw_input('continue: '))
if n_step <= 0: break
except:
break
vec_u = state_dp('w')
vec_p = state_dp('r')
log(nm.linalg.norm(vec_u), nm.linalg.norm(vec_p), finished=True)
else:
raise 'unknown Navier-Stokes solution method (%s)!' % method
return dpb, state_dp, data
