def _needs_orientations(self, elements):
if len(elements) == 0:
return False
cell = elements[0].cell()
if cell.topological_dimension() == cell.geometric_dimension():
return False
for e in elements:
if isinstance(e, ufl.MixedElement) and e.family() != 'Real':
if any("contravariant piola" in fiat_utils.fiat_from_ufl_element(s).mapping()
for s in e.sub_elements()):
return True
else:
if e.family() != 'Real' and \
"contravariant piola" in fiat_utils.fiat_from_ufl_element(e).mapping():
return True
return False
def make_flat_fiat_element(ufl_cell_element, ufl_cell, flattened_entity_dofs):
"""Create a modified FIAT-style element.
Transform object from 3D-Extruded to 2D-flattened FIAT-style object."""
# Create base element
base_element = fiat_utils.fiat_from_ufl_element(ufl_cell_element)
# Alter base element
base_element.dual.entity_ids = flattened_entity_dofs
base_element.poly_set.num_members = total_num_dofs(flattened_entity_dofs)
return base_element
def __init__(self, mesh, layers, layer_height=None, extrusion_type='uniform', kernel=None, gdim=None):
# A cache of function spaces that have been built on this mesh
self._cache = {}
mesh.init()
self._old_mesh = mesh
if layers < 1:
raise RuntimeError("Must have at least one layer of extruded cells (not %d)" % layers)
# All internal logic works with layers of base mesh (not layers of cells)
self._layers = layers + 1
self.parent = mesh.parent
self.uid = mesh.uid
self.name = mesh.name
self._plex = mesh._plex
self._plex_renumbering = mesh._plex_renumbering
self._cell_numbering = mesh._cell_numbering
self._entity_classes = mesh._entity_classes
interior_f = self._old_mesh.interior_facets
self._interior_facets = _Facets(self, interior_f.classes,
"interior",
interior_f.facet_cell,
interior_f.local_facet_number)
exterior_f = self._old_mesh.exterior_facets
self._exterior_facets = _Facets(self, exterior_f.classes,
"exterior",
exterior_f.facet_cell,
exterior_f.local_facet_number,
exterior_f.markers,
unique_markers=exterior_f.unique_markers)
self.ufl_cell_element = ufl.FiniteElement("Lagrange",
domain=mesh.ufl_cell(),
degree=1)
self.ufl_interval_element = ufl.FiniteElement("Lagrange",
domain=ufl.Cell("interval", 1),
degree=1)
self.fiat_base_element = fiat_utils.fiat_from_ufl_element(self.ufl_cell_element)
self.fiat_vert_element = fiat_utils.fiat_from_ufl_element(self.ufl_interval_element)
fiat_element = FIAT.tensor_finite_element.TensorFiniteElement(self.fiat_base_element, self.fiat_vert_element)
if extrusion_type == "uniform":
# *must* add a new dimension
self._ufl_cell = ufl.OuterProductCell(mesh.ufl_cell(), ufl.Cell("interval", 1), gdim=mesh.ufl_cell().geometric_dimension() + 1)
elif extrusion_type in ("radial", "radial_hedgehog"):
# do not allow radial extrusion if tdim = gdim
if mesh.ufl_cell().geometric_dimension() == mesh.ufl_cell().topological_dimension():
raise RuntimeError("Cannot radially-extrude a mesh with equal geometric and topological dimension")
# otherwise, all is fine, so make cell
self._ufl_cell = ufl.OuterProductCell(mesh.ufl_cell(), ufl.Cell("interval", 1))
else:
# check for kernel
if kernel is None:
raise RuntimeError("If the custom extrusion_type is used, a kernel must be provided")
# otherwise, use the gdim that was passed in
if gdim is None:
raise RuntimeError("The geometric dimension of the mesh must be specified if a custom extrusion kernel is used")
self._ufl_cell = ufl.OuterProductCell(mesh.ufl_cell(), ufl.Cell("interval", 1), gdim=gdim)
self._ufl_domain = ufl.Domain(self.ufl_cell(), data=self)
flat_temp = fiat_utils.FlattenedElement(fiat_element)
# Calculated dofs_per_column from flattened_element and layers.
# The mirrored elements have to be counted only once.
# Then multiply by layers and layers - 1 accordingly.
self.dofs_per_column = eutils.compute_extruded_dofs(fiat_element, flat_temp.entity_dofs(),
layers)
# Compute Coordinates of the extruded mesh
if layer_height is None:
# Default to unit
layer_height = 1.0 / layers
if extrusion_type == 'radial_hedgehog':
hfamily = "DG"
else:
hfamily = mesh.coordinates.element().family()
hdegree = mesh.coordinates.element().degree()
self._coordinate_fs = functionspace.VectorFunctionSpace(self, hfamily,
hdegree,
vfamily="CG",
vdegree=1)
self.coordinates = function.Function(self._coordinate_fs)
self._ufl_domain = ufl.Domain(self.coordinates)
eutils.make_extruded_coords(self, layer_height, extrusion_type=extrusion_type,
kernel=kernel)
if extrusion_type == "radial_hedgehog":
fs = functionspace.VectorFunctionSpace(self, "CG", hdegree, vfamily="CG", vdegree=1)
self.radial_coordinates = function.Function(fs)
eutils.make_extruded_coords(self, layer_height, extrusion_type="radial",
output_coords=self.radial_coordinates)
# Build a new ufl element for this function space with the
# correct domain. This is necessary since this function space
# is in the cache and will be picked up by later
# VectorFunctionSpace construction.
self._coordinate_fs._ufl_element = self._coordinate_fs.ufl_element().reconstruct(domain=self.ufl_domain())
# HACK alert!
# Replace coordinate Function by one that has a real domain on it (but don't copy values)
self.coordinates = function.Function(self._coordinate_fs, val=self.coordinates.dat)
# Add subdomain_data to the measure objects we store with
# the mesh. These are weakrefs for consistency with the
# "global" measure objects
self._dx = ufl.Measure('cell', subdomain_data=weakref.ref(self.coordinates))
self._ds = ufl.Measure('exterior_facet', subdomain_data=weakref.ref(self.coordinates))
self._dS = ufl.Measure('interior_facet', subdomain_data=weakref.ref(self.coordinates))
self._ds_t = ufl.Measure('exterior_facet_top', subdomain_data=weakref.ref(self.coordinates))
self._ds_b = ufl.Measure('exterior_facet_bottom', subdomain_data=weakref.ref(self.coordinates))
self._ds_v = ufl.Measure('exterior_facet_vert', subdomain_data=weakref.ref(self.coordinates))
self._dS_h = ufl.Measure('interior_facet_horiz', subdomain_data=weakref.ref(self.coordinates))
self._dS_v = ufl.Measure('interior_facet_vert', subdomain_data=weakref.ref(self.coordinates))
# Set the subdomain_data on all the default measures to this
# coordinate field. We don't set the domain on the measure
# since this causes an uncollectable reference in the global
# space (dx is global). Furthermore, it's never used anyway.
for measure in [ufl.ds, ufl.dS, ufl.dx, ufl.ds_t, ufl.ds_b, ufl.ds_v, ufl.dS_h, ufl.dS_v]:
measure._subdomain_data = weakref.ref(self.coordinates)
def __init__(self, mesh, element, name=None, dim=1, rank=0):
"""
:param mesh: :class:`Mesh` to build this space on
:param element: :class:`ufl.FiniteElementBase` to build this space from
:param name: user-defined name for this space
:param dim: vector space dimension of a :class:`.VectorFunctionSpace`
:param rank: rank of the space, not the value rank
"""
self._ufl_element = element
# Compute the FIAT version of the UFL element above
self.fiat_element = fiat_utils.fiat_from_ufl_element(element)
if isinstance(mesh, mesh_t.ExtrudedMesh):
# Set up some extrusion-specific things
# The bottom layer maps will come from element_dof_list
# dof_count is the total number of dofs in the extruded mesh
# Get the flattened version of the FIAT element
self.flattened_element = self.fiat_element.flattened_element()
entity_dofs = self.flattened_element.entity_dofs()
self._dofs_per_cell = [len(entity)*len(entity[0]) for d, entity in entity_dofs.iteritems()]
# Compute the number of DoFs per dimension on top/bottom and sides
entity_dofs = self.fiat_element.entity_dofs()
top_dim = mesh._plex.getDimension()
self._xtr_hdofs = [len(entity_dofs[(d, 0)][0]) for d in range(top_dim+1)]
self._xtr_vdofs = [len(entity_dofs[(d, 1)][0]) for d in range(top_dim+1)]
# Compute the dofs per column
self.dofs_per_column = eutils.compute_extruded_dofs(self.fiat_element,
self.flattened_element.entity_dofs(),
mesh._layers)
# Compute the offset for the extrusion process
self.offset = eutils.compute_offset(self.fiat_element.entity_dofs(),
self.flattened_element.entity_dofs(),
self.fiat_element.space_dimension())
# Compute the top and bottom masks to identify boundary dofs
b_mask = self.fiat_element.get_lower_mask()
t_mask = self.fiat_element.get_upper_mask()
self.bt_masks = (b_mask, t_mask)
self.extruded = True
self._dofs_per_entity = self.dofs_per_column
else:
# If not extruded specific, set things to None/False, etc.
self.offset = None
self.bt_masks = None
self.dofs_per_column = np.zeros(1, np.int32)
self.extruded = False
entity_dofs = fiat_utils.flat_entity_dofs(self.fiat_element)
self._dofs_per_entity = [len(entity[0]) for d, entity in entity_dofs.iteritems()]
self._dofs_per_cell = [len(entity)*len(entity[0]) for d, entity in entity_dofs.iteritems()]
self.name = name
self._dim = dim
self._mesh = mesh
self._index = None
# Create the PetscSection mapping topological entities to DoFs
try:
# Old style createSection
self._global_numbering = mesh._plex.createSection(1, [1], self._dofs_per_entity,
perm=mesh._plex_renumbering)
except:
# New style
self._global_numbering = mesh._plex.createSection([1], self._dofs_per_entity,
perm=mesh._plex_renumbering)
mesh._plex.setDefaultSection(self._global_numbering)
self._universal_numbering = mesh._plex.getDefaultGlobalSection()
# Re-initialise the DefaultSF with the numbering for this FS
mesh._plex.createDefaultSF(self._global_numbering,
self._universal_numbering)
# Derive the Halo from the DefaultSF
self._halo = halo.Halo(mesh._plex.getDefaultSF(),
self._global_numbering,
self._universal_numbering)
# Compute entity class offsets
self.dof_classes = [0, 0, 0, 0]
for d in range(mesh._plex.getDimension()+1):
ncore = mesh._plex.getStratumSize("op2_core", d)
nowned = mesh._plex.getStratumSize("op2_non_core", d)
nhalo = mesh._plex.getStratumSize("op2_exec_halo", d)
nnonexec = mesh._plex.getStratumSize("op2_non_exec_halo", d)
ndofs = self._dofs_per_entity[d]
self.dof_classes[0] += ndofs * ncore
self.dof_classes[1] += ndofs * (ncore + nowned)
self.dof_classes[2] += ndofs * (ncore + nowned + nhalo)
self.dof_classes[3] += ndofs * (ncore + nowned + nhalo + nnonexec)
self._node_count = self._global_numbering.getStorageSize()
self.cell_node_list = mesh.create_cell_node_list(self._global_numbering,
self.fiat_element,
sum(self._dofs_per_cell))
if mesh._plex.getStratumSize("interior_facets", 1) > 0:
# Compute the facet_numbering and store with the parent mesh
if mesh.interior_facets is None:
# Order interior facets by OP2 entity class
interior_facets, interior_facet_classes = \
dmplex.get_facets_by_class(mesh._plex, "interior_facets")
interior_local_facet_number, interior_facet_cell = \
dmplex.facet_numbering(mesh._plex, "interior",
interior_facets,
mesh._cell_numbering,
mesh.cell_closure)
mesh.interior_facets = mesh_t._Facets(mesh, interior_facet_classes,
"interior",
interior_facet_cell,
interior_local_facet_number)
interior_facet_cells = mesh.interior_facets.facet_cell
self.interior_facet_node_list = \
dmplex.get_facet_nodes(interior_facet_cells,
self.cell_node_list)
else:
self.interior_facet_node_list = np.array([], dtype=np.int32)
if mesh.interior_facets is None:
mesh.interior_facets = mesh_t._Facets(self, 0, "exterior", None, None)
if mesh._plex.getStratumSize("exterior_facets", 1) > 0:
# Compute the facet_numbering and store with the parent mesh
if mesh.exterior_facets is None:
# Order exterior facets by OP2 entity class
exterior_facets, exterior_facet_classes = \
dmplex.get_facets_by_class(mesh._plex, "exterior_facets")
# Derive attached boundary IDs
if mesh._plex.hasLabel("boundary_ids"):
boundary_ids = np.zeros(exterior_facets.size, dtype=np.int32)
for i, facet in enumerate(exterior_facets):
boundary_ids[i] = mesh._plex.getLabelValue("boundary_ids", facet)
unique_ids = np.sort(mesh._plex.getLabelIdIS("boundary_ids").indices)
else:
boundary_ids = None
unique_ids = None
exterior_local_facet_number, exterior_facet_cell = \
dmplex.facet_numbering(mesh._plex, "exterior",
exterior_facets,
mesh._cell_numbering,
mesh.cell_closure)
mesh.exterior_facets = mesh_t._Facets(mesh, exterior_facet_classes,
"exterior",
exterior_facet_cell,
exterior_local_facet_number,
boundary_ids,
unique_markers=unique_ids)
exterior_facet_cells = mesh.exterior_facets.facet_cell
self.exterior_facet_node_list = \
dmplex.get_facet_nodes(exterior_facet_cells,
self.cell_node_list)
else:
self.exterior_facet_node_list = np.array([], dtype=np.int32)
if mesh.exterior_facets is None:
if mesh._plex.hasLabel("boundary_ids"):
unique_ids = np.sort(mesh._plex.getLabelIdIS("boundary_ids").indices)
else:
unique_ids = None
mesh.exterior_facets = mesh_t._Facets(self, 0, "exterior", None, None,
unique_markers=unique_ids)
# Note: this is the function space rank. The value rank may be different.
self.rank = rank
# Empty map caches. This is a sui generis cache
# implementation because of the need to support boundary
# conditions.
self._cell_node_map_cache = {}
self._exterior_facet_map_cache = {}
self._interior_facet_map_cache = {}
def __init__(self, mesh, layers, kernel=None, layer_height=None, extrusion_type='uniform'):
# A cache of function spaces that have been built on this mesh
self._cache = {}
if kernel is None and extrusion_type is None:
raise RuntimeError("Please provide a kernel or a preset extrusion_type ('uniform' or 'radial') for extruding the mesh")
self._old_mesh = mesh
if layers < 1:
raise RuntimeError("Must have at least one layer of extruded cells (not %d)" % layers)
# All internal logic works with layers of base mesh (not layers of cells)
self._layers = layers + 1
self._cells = mesh._cells
self.parent = mesh.parent
self.uid = mesh.uid
self.name = mesh.name
self._plex = mesh._plex
self._plex_renumbering = mesh._plex_renumbering
self._cell_numbering = mesh._cell_numbering
self._cell_closure = mesh._cell_closure
interior_f = self._old_mesh.interior_facets
self._interior_facets = _Facets(self, interior_f.classes,
"interior",
interior_f.facet_cell,
interior_f.local_facet_number)
exterior_f = self._old_mesh.exterior_facets
self._exterior_facets = _Facets(self, exterior_f.classes,
"exterior",
exterior_f.facet_cell,
exterior_f.local_facet_number,
exterior_f.markers)
self.ufl_cell_element = ufl.FiniteElement("Lagrange",
domain=mesh._ufl_cell,
degree=1)
self.ufl_interval_element = ufl.FiniteElement("Lagrange",
domain=ufl.Cell("interval", 1),
degree=1)
self.fiat_base_element = fiat_utils.fiat_from_ufl_element(self.ufl_cell_element)
self.fiat_vert_element = fiat_utils.fiat_from_ufl_element(self.ufl_interval_element)
fiat_element = FIAT.tensor_finite_element.TensorFiniteElement(self.fiat_base_element, self.fiat_vert_element)
self._ufl_cell = ufl.OuterProductCell(mesh._ufl_cell, ufl.Cell("interval", 1))
self._ufl_domain = ufl.Domain(self.ufl_cell(), data=self)
flat_temp = fiat_element.flattened_element()
# Calculated dofs_per_column from flattened_element and layers.
# The mirrored elements have to be counted only once.
# Then multiply by layers and layers - 1 accordingly.
self.dofs_per_column = eutils.compute_extruded_dofs(fiat_element, flat_temp.entity_dofs(),
layers)
#Compute Coordinates of the extruded mesh
if layer_height is None:
# Default to unit
layer_height = 1.0 / layers
self._coordinate_fs = functionspace.VectorFunctionSpace(self, mesh._coordinate_fs.ufl_element().family(),
mesh._coordinate_fs.ufl_element().degree(),
vfamily="CG",
vdegree=1)
self.coordinates = function.Function(self._coordinate_fs)
self._ufl_domain = ufl.Domain(self.coordinates)
eutils.make_extruded_coords(self, layer_height, extrusion_type=extrusion_type,
kernel=kernel)
# Build a new ufl element for this function space with the
# correct domain. This is necessary since this function space
# is in the cache and will be picked up by later
# VectorFunctionSpace construction.
self._coordinate_fs._ufl_element = self._coordinate_fs.ufl_element().reconstruct(domain=self.ufl_domain())
# HACK alert!
# Replace coordinate Function by one that has a real domain on it (but don't copy values)
self.coordinates = function.Function(self._coordinate_fs, val=self.coordinates.dat)
self._dx = ufl.Measure('cell', domain=self, subdomain_data=self.coordinates)
self._ds = ufl.Measure('exterior_facet', domain=self, subdomain_data=self.coordinates)
self._dS = ufl.Measure('interior_facet', domain=self, subdomain_data=self.coordinates)
self._ds_t = ufl.Measure('exterior_facet_top', domain=self, subdomain_data=self.coordinates)
self._ds_b = ufl.Measure('exterior_facet_bottom', domain=self, subdomain_data=self.coordinates)
self._ds_v = ufl.Measure('exterior_facet_vert', domain=self, subdomain_data=self.coordinates)
self._dS_h = ufl.Measure('interior_facet_horiz', domain=self, subdomain_data=self.coordinates)
self._dS_v = ufl.Measure('interior_facet_vert', domain=self, subdomain_data=self.coordinates)
# Set the subdomain_data on all the default measures to this coordinate field.
for measure in [ufl.ds, ufl.dS, ufl.dx, ufl.ds_t, ufl.ds_b, ufl.ds_v, ufl.dS_h, ufl.dS_v]:
measure._subdomain_data = self.coordinates
measure._domain = self.ufl_domain()
def __init__(self, mesh, element, name=None, dim=1, rank=0):
"""
:param mesh: :class:`Mesh` to build this space on
:param element: :class:`ufl.FiniteElementBase` to build this space from
:param name: user-defined name for this space
:param dim: vector space dimension of a :class:`.VectorFunctionSpace`
:param rank: rank of the space, not the value rank
"""
self._ufl_element = element
# Compute the FIAT version of the UFL element above
self.fiat_element = fiat_utils.fiat_from_ufl_element(element)
if isinstance(mesh, mesh_t.ExtrudedMesh):
# Set up some extrusion-specific things
# The bottom layer maps will come from element_dof_list
# dof_count is the total number of dofs in the extruded mesh
# Get the flattened version of the FIAT element
self.flattened_element = fiat_utils.FlattenedElement(self.fiat_element)
# Compute the number of DoFs per dimension on top/bottom and sides
entity_dofs = self.fiat_element.entity_dofs()
top_dim = mesh._plex.getDimension()
self._xtr_hdofs = [len(entity_dofs[(d, 0)][0]) for d in range(top_dim+1)]
self._xtr_vdofs = [len(entity_dofs[(d, 1)][0]) for d in range(top_dim+1)]
# Compute the dofs per column
self.dofs_per_column = eutils.compute_extruded_dofs(self.fiat_element,
self.flattened_element.entity_dofs(),
mesh._layers)
# Compute the offset for the extrusion process
self.offset = eutils.compute_offset(self.fiat_element.entity_dofs(),
self.flattened_element.entity_dofs(),
self.fiat_element.space_dimension())
# Compute the top and bottom masks to identify boundary dofs
#
# Sorting the keys of the closure entity dofs, the whole cell
# comes last [-1], before that the horizontal facet [-2], before
# that vertical facets [-3]. We need the horizontal facets here.
closure_dofs = self.fiat_element.entity_closure_dofs()
b_mask = closure_dofs[sorted(closure_dofs.keys())[-2]][0]
t_mask = closure_dofs[sorted(closure_dofs.keys())[-2]][1]
self.bt_masks = (b_mask, t_mask) # conversion to tuple
self.extruded = True
self._dofs_per_entity = self.dofs_per_column
else:
# If not extruded specific, set things to None/False, etc.
self.offset = None
self.bt_masks = None
self.dofs_per_column = np.zeros(1, np.int32)
self.extruded = False
entity_dofs = self.fiat_element.entity_dofs()
self._dofs_per_entity = [len(entity[0]) for d, entity in entity_dofs.iteritems()]
self.name = name
self._dim = dim
self._mesh = mesh
self._index = None
dm = PETSc.DMShell().create()
dm.setAttr('__fs__', weakref.ref(self))
dm.setPointSF(mesh._plex.getPointSF())
# Create the PetscSection mapping topological entities to DoFs
sec = mesh._plex.createSection([1], self._dofs_per_entity,
perm=mesh._plex_renumbering)
dm.setDefaultSection(sec)
self._global_numbering = sec
self._dm = dm
self._ises = None
self._halo = halo.Halo(dm)
# Compute entity class offsets
self.dof_classes = [0, 0, 0, 0]
for d in range(mesh._plex.getDimension()+1):
ndofs = self._dofs_per_entity[d]
for i in range(4):
self.dof_classes[i] += ndofs * mesh._entity_classes[d, i]
# Tell the DM about the layout of the global vector
with function.Function(self).dat.vec_ro as v:
self._dm.setGlobalVector(v.duplicate())
self._node_count = self._global_numbering.getStorageSize()
self.cell_node_list = mesh.create_cell_node_list(self._global_numbering,
self.fiat_element)
if mesh._plex.getStratumSize("interior_facets", 1) > 0:
self.interior_facet_node_list = \
dmplex.get_facet_nodes(mesh.interior_facets.facet_cell,
self.cell_node_list)
else:
self.interior_facet_node_list = np.array([], dtype=np.int32)
if mesh._plex.getStratumSize("exterior_facets", 1) > 0:
self.exterior_facet_node_list = \
dmplex.get_facet_nodes(mesh.exterior_facets.facet_cell,
self.cell_node_list)
else:
self.exterior_facet_node_list = np.array([], dtype=np.int32)
# Note: this is the function space rank. The value rank may be different.
self.rank = rank
# Empty map caches. This is a sui generis cache
# implementation because of the need to support boundary
# conditions.
self._cell_node_map_cache = {}
self._exterior_facet_map_cache = {}
self._interior_facet_map_cache = {}