def verify_save_dof_maps(field, cell_tasks, dof_maps, id_map, options,
verbose=False):
vec = pl.verify_task_dof_maps(dof_maps, id_map, field, verbose=verbose)
order = options.order
mesh = field.domain.mesh
sfield = Field.from_args('aux', nm.float64, 'scalar', field.region,
approx_order=order)
aux = FieldVariable('aux', 'parameter', sfield,
primary_var_name='(set-to-None)')
out = aux.create_output(vec,
linearization=Struct(kind='adaptive',
min_level=order-1,
max_level=order-1,
eps=1e-8))
filename = os.path.join(options.output_dir,
'para-domains-dofs.h5')
if field.is_higher_order():
out['aux'].mesh.write(filename, out=out)
else:
mesh.write(filename, out=out)
out = Struct(name='cells', mode='cell',
data=cell_tasks[:, None, None, None])
filename = os.path.join(options.output_dir,
'para-domains-cells.h5')
mesh.write(filename, out={'cells' : out})
def verify_save_dof_maps(field,
cell_tasks,
dof_maps,
id_map,
options,
verbose=False):
vec = pl.verify_task_dof_maps(dof_maps, id_map, field, verbose=verbose)
order = options.order
mesh = field.domain.mesh
sfield = Field.from_args('aux',
nm.float64,
'scalar',
field.region,
approx_order=order)
aux = FieldVariable('aux',
'parameter',
sfield,
primary_var_name='(set-to-None)')
out = aux.create_output(vec,
linearization=Struct(kind='adaptive',
min_level=order - 1,
max_level=order - 1,
eps=1e-8))
filename = os.path.join(options.output_dir, 'para-domains-dofs.h5')
if field.is_higher_order():
out['aux'].mesh.write(filename, out=out)
else:
mesh.write(filename, out=out)
out = Struct(name='cells',
mode='cell',
data=cell_tasks[:, None, None, None])
filename = os.path.join(options.output_dir, 'para-domains-cells.h5')
mesh.write(filename, out={'cells': out})
def save_basis_on_mesh(mesh, options, output_dir, lin,
permutations=None, suffix=''):
if permutations is not None:
mesh = mesh.copy()
gel = GeometryElement(mesh.descs[0])
perms = gel.get_conn_permutations()[permutations]
conn = mesh.cmesh.get_cell_conn()
n_el, n_ep = conn.num, gel.n_vertex
offsets = nm.arange(n_el) * n_ep
conn.indices[:] = conn.indices.take((perms + offsets[:, None]).ravel())
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field = Field.from_args('f', nm.float64, shape=1, region=omega,
approx_order=options.max_order,
poly_space_base=options.basis)
var = FieldVariable('u', 'unknown', field)
if options.plot_dofs:
import sfepy.postprocess.plot_dofs as pd
import sfepy.postprocess.plot_cmesh as pc
ax = pc.plot_wireframe(None, mesh.cmesh)
ax = pd.plot_global_dofs(ax, field.get_coor(), field.econn)
ax = pd.plot_local_dofs(ax, field.get_coor(), field.econn)
if options.dofs is not None:
ax = pd.plot_nodes(ax, field.get_coor(), field.econn,
field.poly_space.nodes,
get_dofs(options.dofs, var.n_dof))
pd.plt.show()
output('dofs: %d' % var.n_dof)
vec = nm.empty(var.n_dof, dtype=var.dtype)
n_digit, _format = get_print_info(var.n_dof, fill='0')
name_template = os.path.join(output_dir,
'dof_%s%s.vtk' % (_format, suffix))
for ip in get_dofs(options.dofs, var.n_dof):
output('dof %d...' % ip)
vec.fill(0.0)
vec[ip] = 1.0
var.set_data(vec)
if options.derivative == 0:
out = var.create_output(vec, linearization=lin)
else:
out = create_expression_output('ev_grad.ie.Elements(u)',
'u', 'f', {'f' : field}, None,
Variables([var]),
mode='qp', verbose=False,
min_level=lin.min_level,
max_level=lin.max_level,
eps=lin.eps)
name = name_template % ip
ensure_path(name)
out['u'].mesh.write(name, out=out)
output('...done (%s)' % name)
def solve_problem(mesh_filename, options, comm):
order_u = options.order_u
order_p = options.order_p
rank, size = comm.Get_rank(), comm.Get_size()
output('rank', rank, 'of', size)
stats = Struct()
timer = Timer('solve_timer')
timer.start()
mesh = Mesh.from_file(mesh_filename)
stats.t_read_mesh = timer.stop()
timer.start()
if rank == 0:
cell_tasks = pl.partition_mesh(mesh, size, use_metis=options.metis,
verbose=True)
else:
cell_tasks = None
stats.t_partition_mesh = timer.stop()
output('creating global domain and fields...')
timer.start()
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field1 = Field.from_args('fu', nm.float64, mesh.dim, omega,
approx_order=order_u)
field2 = Field.from_args('fp', nm.float64, 1, omega,
approx_order=order_p)
fields = [field1, field2]
stats.t_create_global_fields = timer.stop()
output('...done in', timer.dt)
output('distributing fields...')
timer.start()
distribute = pl.distribute_fields_dofs
lfds, gfds = distribute(fields, cell_tasks,
is_overlap=True,
use_expand_dofs=True,
save_inter_regions=options.save_inter_regions,
output_dir=options.output_dir,
comm=comm, verbose=True)
stats.t_distribute_fields_dofs = timer.stop()
output('...done in', timer.dt)
output('creating local problem...')
timer.start()
cells = lfds[0].cells
omega_gi = Region.from_cells(cells, domain)
omega_gi.finalize()
omega_gi.update_shape()
pb = create_local_problem(omega_gi, [order_u, order_p])
variables = pb.get_variables()
state = State(variables)
state.fill(0.0)
state.apply_ebc()
stats.t_create_local_problem = timer.stop()
output('...done in', timer.dt)
output('allocating global system...')
timer.start()
sizes, drange, pdofs = pl.setup_composite_dofs(lfds, fields, variables,
verbose=True)
pmtx, psol, prhs = pl.create_petsc_system(pb.mtx_a, sizes, pdofs, drange,
is_overlap=True, comm=comm,
verbose=True)
stats.t_allocate_global_system = timer.stop()
output('...done in', timer.dt)
output('creating solver...')
timer.start()
conf = Struct(method='bcgsl', precond='jacobi', sub_precond='none',
i_max=10000, eps_a=1e-50, eps_r=1e-6, eps_d=1e4,
verbose=True)
status = {}
ls = PETScKrylovSolver(conf, comm=comm, mtx=pmtx, status=status)
field_ranges = {}
for ii, variable in enumerate(variables.iter_state(ordered=True)):
field_ranges[variable.name] = lfds[ii].petsc_dofs_range
ls.set_field_split(field_ranges, comm=comm)
ev = PETScParallelEvaluator(pb, pdofs, drange, True,
psol, comm, verbose=True)
nls_status = {}
conf = Struct(method='newtonls',
i_max=5, eps_a=0, eps_r=1e-5, eps_s=0.0,
verbose=True)
nls = PETScNonlinearSolver(conf, pmtx=pmtx, prhs=prhs, comm=comm,
fun=ev.eval_residual,
fun_grad=ev.eval_tangent_matrix,
lin_solver=ls, status=nls_status)
stats.t_create_solver = timer.stop()
output('...done in', timer.dt)
output('solving...')
timer.start()
state = pb.create_state()
state.apply_ebc()
ev.psol_i[...] = state()
ev.gather(psol, ev.psol_i)
psol = nls(psol)
ev.scatter(ev.psol_i, psol)
sol0_i = ev.psol_i[...]
stats.t_solve = timer.stop()
output('...done in', timer.dt)
output('saving solution...')
timer.start()
state.set_full(sol0_i)
out = state.create_output_dict()
filename = os.path.join(options.output_dir, 'sol_%02d.h5' % comm.rank)
pb.domain.mesh.write(filename, io='auto', out=out)
gather_to_zero = pl.create_gather_to_zero(psol)
psol_full = gather_to_zero(psol)
if comm.rank == 0:
sol = psol_full[...].copy()
u = FieldVariable('u', 'parameter', field1,
primary_var_name='(set-to-None)')
remap = gfds[0].id_map
ug = sol[remap]
p = FieldVariable('p', 'parameter', field2,
primary_var_name='(set-to-None)')
remap = gfds[1].id_map
pg = sol[remap]
if (((order_u == 1) and (order_p == 1))
or (options.linearization == 'strip')):
out = u.create_output(ug)
out.update(p.create_output(pg))
filename = os.path.join(options.output_dir, 'sol.h5')
mesh.write(filename, io='auto', out=out)
else:
out = u.create_output(ug, linearization=Struct(kind='adaptive',
min_level=0,
max_level=order_u,
eps=1e-3))
filename = os.path.join(options.output_dir, 'sol_u.h5')
out['u'].mesh.write(filename, io='auto', out=out)
out = p.create_output(pg, linearization=Struct(kind='adaptive',
min_level=0,
max_level=order_p,
eps=1e-3))
filename = os.path.join(options.output_dir, 'sol_p.h5')
out['p'].mesh.write(filename, io='auto', out=out)
stats.t_save_solution = timer.stop()
output('...done in', timer.dt)
stats.t_total = timer.total
stats.n_dof = sizes[1]
stats.n_dof_local = sizes[0]
stats.n_cell = omega.shape.n_cell
stats.n_cell_local = omega_gi.shape.n_cell
return stats
def solve_problem(mesh_filename, options, comm):
order_u = options.order_u
order_p = options.order_p
rank, size = comm.Get_rank(), comm.Get_size()
output('rank', rank, 'of', size)
mesh = Mesh.from_file(mesh_filename)
if rank == 0:
cell_tasks = pl.partition_mesh(mesh, size, use_metis=options.metis,
verbose=True)
else:
cell_tasks = None
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field1 = Field.from_args('fu', nm.float64, mesh.dim, omega,
approx_order=order_u)
field2 = Field.from_args('fp', nm.float64, 1, omega,
approx_order=order_p)
fields = [field1, field2]
output('distributing fields...')
tt = time.clock()
lfds, gfds = pl.distribute_fields_dofs(fields, cell_tasks,
is_overlap=True,
use_expand_dofs=True,
comm=comm, verbose=True)
output('...done in', time.clock() - tt)
output('creating local problem...')
tt = time.clock()
cells = lfds[0].cells
omega_gi = Region.from_cells(cells, domain)
omega_gi.finalize()
omega_gi.update_shape()
pb = create_local_problem(omega_gi, [order_u, order_p])
variables = pb.get_variables()
state = State(variables)
state.fill(0.0)
state.apply_ebc()
output('...done in', time.clock() - tt)
output('allocating global system...')
tt = time.clock()
sizes, drange, pdofs = pl.setup_composite_dofs(lfds, fields, variables,
verbose=True)
pmtx, psol, prhs = pl.create_petsc_system(pb.mtx_a, sizes, pdofs, drange,
is_overlap=True, comm=comm,
verbose=True)
output('...done in', time.clock() - tt)
output('creating solver...')
tt = time.clock()
conf = Struct(method='bcgsl', precond='jacobi', sub_precond=None,
i_max=10000, eps_a=1e-50, eps_r=1e-6, eps_d=1e4,
verbose=True)
status = {}
ls = PETScKrylovSolver(conf, comm=comm, mtx=pmtx, status=status)
field_ranges = {}
for ii, variable in enumerate(variables.iter_state(ordered=True)):
field_ranges[variable.name] = lfds[ii].petsc_dofs_range
ls.set_field_split(field_ranges, comm=comm)
ev = PETScParallelEvaluator(pb, pdofs, drange, True,
psol, comm, verbose=True)
nls_status = {}
conf = Struct(method='newtonls',
i_max=5, eps_a=0, eps_r=1e-5, eps_s=0.0,
verbose=True)
nls = PETScNonlinearSolver(conf, pmtx=pmtx, prhs=prhs, comm=comm,
fun=ev.eval_residual,
fun_grad=ev.eval_tangent_matrix,
lin_solver=ls, status=nls_status)
output('...done in', time.clock() - tt)
output('solving...')
tt = time.clock()
state = pb.create_state()
state.apply_ebc()
ev.psol_i[...] = state()
ev.gather(psol, ev.psol_i)
psol = nls(psol)
ev.scatter(ev.psol_i, psol)
sol0_i = ev.psol_i[...]
output('...done in', time.clock() - tt)
output('saving solution...')
tt = time.clock()
state.set_full(sol0_i)
out = state.create_output_dict()
filename = os.path.join(options.output_dir, 'sol_%02d.h5' % comm.rank)
pb.domain.mesh.write(filename, io='auto', out=out)
gather_to_zero = pl.create_gather_to_zero(psol)
psol_full = gather_to_zero(psol)
if comm.rank == 0:
sol = psol_full[...].copy()
u = FieldVariable('u', 'parameter', field1,
primary_var_name='(set-to-None)')
remap = gfds[0].id_map
ug = sol[remap]
p = FieldVariable('p', 'parameter', field2,
primary_var_name='(set-to-None)')
remap = gfds[1].id_map
pg = sol[remap]
if (((order_u == 1) and (order_p == 1))
or (options.linearization == 'strip')):
out = u.create_output(ug)
out.update(p.create_output(pg))
filename = os.path.join(options.output_dir, 'sol.h5')
mesh.write(filename, io='auto', out=out)
else:
out = u.create_output(ug, linearization=Struct(kind='adaptive',
min_level=0,
max_level=order_u,
eps=1e-3))
filename = os.path.join(options.output_dir, 'sol_u.h5')
out['u'].mesh.write(filename, io='auto', out=out)
out = p.create_output(pg, linearization=Struct(kind='adaptive',
min_level=0,
max_level=order_p,
eps=1e-3))
filename = os.path.join(options.output_dir, 'sol_p.h5')
out['p'].mesh.write(filename, io='auto', out=out)
output('...done in', time.clock() - tt)
def solve_problem(mesh_filename, options, comm):
order = options.order
rank, size = comm.Get_rank(), comm.Get_size()
output('rank', rank, 'of', size)
mesh = Mesh.from_file(mesh_filename)
if rank == 0:
cell_tasks = pl.partition_mesh(mesh, size, use_metis=options.metis,
verbose=True)
else:
cell_tasks = None
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field = Field.from_args('fu', nm.float64, 1, omega, approx_order=order)
output('distributing field %s...' % field.name)
tt = time.clock()
distribute = pl.distribute_fields_dofs
lfds, gfds = distribute([field], cell_tasks,
is_overlap=True,
save_inter_regions=options.save_inter_regions,
output_dir=options.output_dir,
comm=comm, verbose=True)
lfd = lfds[0]
output('...done in', time.clock() - tt)
if rank == 0:
dof_maps = gfds[0].dof_maps
id_map = gfds[0].id_map
if options.verify:
verify_save_dof_maps(field, cell_tasks,
dof_maps, id_map, options, verbose=True)
if options.plot:
ppd.plot_partitioning([None, None], field, cell_tasks, gfds[0],
options.output_dir, size)
output('creating local problem...')
tt = time.clock()
omega_gi = Region.from_cells(lfd.cells, field.domain)
omega_gi.finalize()
omega_gi.update_shape()
pb = create_local_problem(omega_gi, order)
output('...done in', time.clock() - tt)
variables = pb.get_variables()
eqs = pb.equations
u_i = variables['u_i']
field_i = u_i.field
if options.plot:
ppd.plot_local_dofs([None, None], field, field_i, omega_gi,
options.output_dir, rank)
output('allocating global system...')
tt = time.clock()
sizes, drange = pl.get_sizes(lfd.petsc_dofs_range, field.n_nod, 1)
output('sizes:', sizes)
output('drange:', drange)
pdofs = pl.get_local_ordering(field_i, lfd.petsc_dofs_conn)
output('pdofs:', pdofs)
pmtx, psol, prhs = pl.create_petsc_system(pb.mtx_a, sizes, pdofs, drange,
is_overlap=True, comm=comm,
verbose=True)
output('...done in', time.clock() - tt)
output('evaluating local problem...')
tt = time.clock()
state = State(variables)
state.fill(0.0)
state.apply_ebc()
rhs_i = eqs.eval_residuals(state())
# This must be after pl.create_petsc_system() call!
mtx_i = eqs.eval_tangent_matrices(state(), pb.mtx_a)
output('...done in', time.clock() - tt)
output('assembling global system...')
tt = time.clock()
pl.apply_ebc_to_matrix(mtx_i, u_i.eq_map.eq_ebc)
pl.assemble_rhs_to_petsc(prhs, rhs_i, pdofs, drange, is_overlap=True,
comm=comm, verbose=True)
pl.assemble_mtx_to_petsc(pmtx, mtx_i, pdofs, drange, is_overlap=True,
comm=comm, verbose=True)
output('...done in', time.clock() - tt)
output('creating solver...')
tt = time.clock()
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)
status = {}
ls = PETScKrylovSolver(conf, comm=comm, mtx=pmtx, status=status)
output('...done in', time.clock() - tt)
output('solving...')
tt = time.clock()
psol = ls(prhs, psol, conf)
psol_i = pl.create_local_petsc_vector(pdofs)
gather, scatter = pl.create_gather_scatter(pdofs, psol_i, psol, comm=comm)
scatter(psol_i, psol)
sol0_i = state() - psol_i[...]
psol_i[...] = sol0_i
gather(psol, psol_i)
output('...done in', time.clock() - tt)
output('saving solution...')
tt = time.clock()
u_i.set_data(sol0_i)
out = u_i.create_output()
filename = os.path.join(options.output_dir, 'sol_%02d.h5' % comm.rank)
pb.domain.mesh.write(filename, io='auto', out=out)
gather_to_zero = pl.create_gather_to_zero(psol)
psol_full = gather_to_zero(psol)
if comm.rank == 0:
sol = psol_full[...].copy()[id_map]
u = FieldVariable('u', 'parameter', field,
primary_var_name='(set-to-None)')
filename = os.path.join(options.output_dir, 'sol.h5')
if (order == 1) or (options.linearization == 'strip'):
out = u.create_output(sol)
mesh.write(filename, io='auto', out=out)
else:
out = u.create_output(sol, linearization=Struct(kind='adaptive',
min_level=0,
max_level=order,
eps=1e-3))
out['u'].mesh.write(filename, io='auto', out=out)
output('...done in', time.clock() - tt)
if options.show:
plt.show()
def solve_problem(mesh_filename, options, comm):
order = options.order
rank, size = comm.Get_rank(), comm.Get_size()
output('rank', rank, 'of', size)
mesh = Mesh.from_file(mesh_filename)
if rank == 0:
cell_tasks = pl.partition_mesh(mesh,
size,
use_metis=options.metis,
verbose=True)
else:
cell_tasks = None
output('creating global domain and field...')
tt = time.clock()
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field = Field.from_args('fu', nm.float64, 1, omega, approx_order=order)
output('...done in', time.clock() - tt)
output('distributing field %s...' % field.name)
tt = time.clock()
distribute = pl.distribute_fields_dofs
lfds, gfds = distribute([field],
cell_tasks,
is_overlap=True,
save_inter_regions=options.save_inter_regions,
output_dir=options.output_dir,
comm=comm,
verbose=True)
lfd = lfds[0]
output('...done in', time.clock() - tt)
if rank == 0:
dof_maps = gfds[0].dof_maps
id_map = gfds[0].id_map
if options.verify:
verify_save_dof_maps(field,
cell_tasks,
dof_maps,
id_map,
options,
verbose=True)
if options.plot:
ppd.plot_partitioning([None, None], field, cell_tasks, gfds[0],
options.output_dir, size)
output('creating local problem...')
tt = time.clock()
omega_gi = Region.from_cells(lfd.cells, field.domain)
omega_gi.finalize()
omega_gi.update_shape()
pb = create_local_problem(omega_gi, order)
output('...done in', time.clock() - tt)
variables = pb.get_variables()
eqs = pb.equations
u_i = variables['u_i']
field_i = u_i.field
if options.plot:
ppd.plot_local_dofs([None, None], field, field_i, omega_gi,
options.output_dir, rank)
output('allocating global system...')
tt = time.clock()
sizes, drange = pl.get_sizes(lfd.petsc_dofs_range, field.n_nod, 1)
output('sizes:', sizes)
output('drange:', drange)
pdofs = pl.get_local_ordering(field_i, lfd.petsc_dofs_conn)
output('pdofs:', pdofs)
pmtx, psol, prhs = pl.create_petsc_system(pb.mtx_a,
sizes,
pdofs,
drange,
is_overlap=True,
comm=comm,
verbose=True)
output('...done in', time.clock() - tt)
output('evaluating local problem...')
tt = time.clock()
state = State(variables)
state.fill(0.0)
state.apply_ebc()
rhs_i = eqs.eval_residuals(state())
# This must be after pl.create_petsc_system() call!
mtx_i = eqs.eval_tangent_matrices(state(), pb.mtx_a)
output('...done in', time.clock() - tt)
output('assembling global system...')
tt = time.clock()
apply_ebc_to_matrix(mtx_i, u_i.eq_map.eq_ebc)
pl.assemble_rhs_to_petsc(prhs,
rhs_i,
pdofs,
drange,
is_overlap=True,
comm=comm,
verbose=True)
pl.assemble_mtx_to_petsc(pmtx,
mtx_i,
pdofs,
drange,
is_overlap=True,
comm=comm,
verbose=True)
output('...done in', time.clock() - tt)
output('creating solver...')
tt = time.clock()
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)
status = {}
ls = PETScKrylovSolver(conf, comm=comm, mtx=pmtx, status=status)
output('...done in', time.clock() - tt)
output('solving...')
tt = time.clock()
psol = ls(prhs, psol)
psol_i = pl.create_local_petsc_vector(pdofs)
gather, scatter = pl.create_gather_scatter(pdofs, psol_i, psol, comm=comm)
scatter(psol_i, psol)
sol0_i = state() - psol_i[...]
psol_i[...] = sol0_i
gather(psol, psol_i)
output('...done in', time.clock() - tt)
output('saving solution...')
tt = time.clock()
u_i.set_data(sol0_i)
out = u_i.create_output()
filename = os.path.join(options.output_dir, 'sol_%02d.h5' % comm.rank)
pb.domain.mesh.write(filename, io='auto', out=out)
gather_to_zero = pl.create_gather_to_zero(psol)
psol_full = gather_to_zero(psol)
if comm.rank == 0:
sol = psol_full[...].copy()[id_map]
u = FieldVariable('u',
'parameter',
field,
primary_var_name='(set-to-None)')
filename = os.path.join(options.output_dir, 'sol.h5')
if (order == 1) or (options.linearization == 'strip'):
out = u.create_output(sol)
mesh.write(filename, io='auto', out=out)
else:
out = u.create_output(sol,
linearization=Struct(kind='adaptive',
min_level=0,
max_level=order,
eps=1e-3))
out['u'].mesh.write(filename, io='auto', out=out)
output('...done in', time.clock() - tt)
if options.show:
plt.show()
def test_continuity(self):
from sfepy.base.base import Struct
from sfepy.mesh.mesh_generators import gen_block_mesh
from sfepy.discrete import FieldVariable
from sfepy.discrete.fem import FEDomain, Field
from sfepy.discrete.projections import make_l2_projection_data
import sfepy.discrete.fem.refine_hanging as rh
dims = [1.5, 2.0, 1.3]
shape = [3, 3, 3]
centre = [0.0, 0.0, 0.0]
probe_gens = {'2_4': _gen_lines_2_4, '3_8': _gen_grid_3_8}
ok = True
for key in self.gel_names:
gel = self.gels[key]
probe_gen = probe_gens[key]
perms = gel.get_conn_permutations()
dim = gel.dim
for io, order in enumerate(range(1, 4)):
mesh00 = gen_block_mesh(dims[:dim],
shape[:dim],
centre[:dim],
name='block')
for ip, perm in enumerate(perms):
self.report(
'geometry: %s, order: %d, permutation: %d: %s' %
(key, order, ip, perm))
mesh0 = mesh00.copy()
conn = mesh0.cmesh.get_conn(dim, 0).indices
conn = conn.reshape((mesh0.n_el, -1))
conn[-1, :] = conn[-1, perm]
domain0 = FEDomain('d', mesh0)
refine = nm.zeros(mesh0.n_el, dtype=nm.uint8)
refine[:-1] = 1
subs = None
domain, subs = rh.refine(domain0, refine, subs=subs)
omega = domain.create_region('Omega', 'all')
field = Field.from_args('fu',
nm.float64,
1,
omega,
approx_order=order)
field.substitute_dofs(subs)
uvar = FieldVariable('u',
'parameter',
field,
primary_var_name='(set-to-None)')
field.restore_dofs(store=True)
field.substitute_dofs(subs=None, restore=True)
make_l2_projection_data(uvar, eval_fun)
field.restore_dofs()
bbox = domain.get_mesh_bounding_box()
eps = 1e-7
save = False
for ii, (probe0, probe1) in enumerate(probe_gen(bbox,
eps)):
probe0.set_options(close_limit=0.0)
probe1.set_options(close_limit=0.0)
pars0, vals0 = probe0(uvar)
pars1, vals1 = probe1(uvar)
assert_(nm.allclose(pars0, pars1, atol=1e-14,
rtol=0.0))
_ok = nm.allclose(vals0,
vals1,
atol=20.0 * eps,
rtol=0.0)
if not _ok:
save = True
self.report('probe %d failed! (max. error: %e)' %
(ii, nm.abs(vals0 - vals1).max()))
ok = ok and _ok
if (ip == 0) or save:
out = uvar.create_output()
filenames = _build_filenames(self.options.out_dir, key,
order, ip)
domain.mesh.write(filenames[0], out=out)
linearization = Struct(kind='adaptive',
min_level=0,
max_level=4,
eps=1e-2)
out = uvar.create_output(linearization=linearization)
val = out['u']
mesh = val.get('mesh', domain.mesh)
mesh.write(filenames[1], out=out)
return ok
def test_continuity(self):
from sfepy.base.base import Struct
from sfepy.mesh.mesh_generators import gen_block_mesh
from sfepy.discrete import FieldVariable
from sfepy.discrete.fem import FEDomain, Field
from sfepy.discrete.projections import make_l2_projection_data
import sfepy.discrete.fem.refine_hanging as rh
dims = [1.5, 2.0, 1.3]
shape = [3, 3, 3]
centre = [0.0, 0.0, 0.0]
probe_gens = {"2_4": _gen_lines_2_4, "3_8": _gen_grid_3_8}
ok = True
for key in self.gel_names:
gel = self.gels[key]
probe_gen = probe_gens[key]
perms = gel.get_conn_permutations()
dim = gel.dim
for io, order in enumerate(range(1, 4)):
mesh00 = gen_block_mesh(dims[:dim], shape[:dim], centre[:dim], name="block")
for ip, perm in enumerate(perms):
self.report("geometry: %s, order: %d, permutation: %d: %s" % (key, order, ip, perm))
mesh0 = mesh00.copy()
conn = mesh0.cmesh.get_conn(dim, 0).indices
conn = conn.reshape((mesh0.n_el, -1))
conn[-1, :] = conn[-1, perm]
domain0 = FEDomain("d", mesh0)
refine = nm.zeros(mesh0.n_el, dtype=nm.uint8)
refine[:-1] = 1
subs = None
domain, subs = rh.refine(domain0, refine, subs=subs)
omega = domain.create_region("Omega", "all")
field = Field.from_args("fu", nm.float64, 1, omega, approx_order=order)
field.substitute_dofs(subs)
uvar = FieldVariable("u", "parameter", field, primary_var_name="(set-to-None)")
field.restore_dofs(store=True)
field.substitute_dofs(subs=None, restore=True)
make_l2_projection_data(uvar, eval_fun)
field.restore_dofs()
bbox = domain.get_mesh_bounding_box()
eps = 1e-7
save = False
for ii, (probe0, probe1) in enumerate(probe_gen(bbox, eps)):
probe0.set_options(close_limit=0.0)
probe1.set_options(close_limit=0.0)
pars0, vals0 = probe0(uvar)
pars1, vals1 = probe1(uvar)
assert_(nm.allclose(pars0, pars1, atol=1e-14, rtol=0.0))
_ok = nm.allclose(vals0, vals1, atol=20.0 * eps, rtol=0.0)
if not _ok:
save = True
self.report("probe %d failed! (max. error: %e)" % (ii, nm.abs(vals0 - vals1).max()))
ok = ok and _ok
if (ip == 0) or save:
out = uvar.create_output()
filenames = _build_filenames(self.options.out_dir, key, order, ip)
domain.mesh.write(filenames[0], out=out)
linearization = Struct(kind="adaptive", min_level=0, max_level=4, eps=1e-2)
out = uvar.create_output(linearization=linearization)
val = out["u"]
mesh = val.get("mesh", domain.mesh)
mesh.write(filenames[1], out=out)
return ok
