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, 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()
