def compute_integrand_scaling_factor(integral):
"""Change integrand geometry to the right representations."""
domain = integral.ufl_domain()
integral_type = integral.integral_type()
# co = CellOrientation(domain)
weight = QuadratureWeight(domain)
tdim = domain.topological_dimension()
# gdim = domain.geometric_dimension()
# Polynomial degree of integrand scaling
degree = 0
if integral_type == "cell":
detJ = JacobianDeterminant(domain)
degree = estimate_total_polynomial_degree(
apply_geometry_lowering(detJ))
# Despite the abs, |detJ| is polynomial except for
# self-intersecting cells, where we have other problems.
scale = abs(detJ) * weight
elif integral_type.startswith("exterior_facet"):
if tdim > 1:
# Scaling integral by facet jacobian determinant and
# quadrature weight
detFJ = FacetJacobianDeterminant(domain)
degree = estimate_total_polynomial_degree(
apply_geometry_lowering(detFJ))
scale = detFJ * weight
else:
# No need to scale 'integral' over a vertex
scale = 1
elif integral_type.startswith("interior_facet"):
if tdim > 1:
# Scaling integral by facet jacobian determinant from one
# side and quadrature weight
detFJ = FacetJacobianDeterminant(domain)
degree = estimate_total_polynomial_degree(
apply_geometry_lowering(detFJ))
scale = detFJ('+') * weight
else:
# No need to scale 'integral' over a vertex
scale = 1
elif integral_type in custom_integral_types:
# Scaling with custom weight, which includes eventual volume
# scaling
scale = weight
elif integral_type in point_integral_types:
# No need to scale 'integral' over a point
scale = 1
else:
error("Unknown integral type {}, don't know how to scale.".format(
integral_type))
return scale, degree
def compute_integrand_scaling_factor(integral):
"""Change integrand geometry to the right representations."""
domain = integral.ufl_domain()
integral_type = integral.integral_type()
# co = CellOrientation(domain)
weight = QuadratureWeight(domain)
tdim = domain.topological_dimension()
# gdim = domain.geometric_dimension()
if integral_type == "cell":
scale = abs(JacobianDeterminant(domain)) * weight
elif integral_type.startswith("exterior_facet"):
if tdim > 1:
# Scaling integral by facet jacobian determinant and
# quadrature weight
scale = FacetJacobianDeterminant(domain) * weight
else:
# No need to scale 'integral' over a vertex
scale = 1
elif integral_type.startswith("interior_facet"):
if tdim > 1:
# Scaling integral by facet jacobian determinant from one
# side and quadrature weight
scale = FacetJacobianDeterminant(domain)('+') * weight
else:
# No need to scale 'integral' over a vertex
scale = 1
elif integral_type in custom_integral_types:
# Scaling with custom weight, which includes eventual volume
# scaling
scale = weight
elif integral_type in point_integral_types:
# No need to scale 'integral' over a point
scale = 1
else:
error("Unknown integral type {}, don't know how to scale.".format(
integral_type))
return scale
def facet_area(self, o):
if self._preserve_types[o._ufl_typecode_]:
return o
domain = o.ufl_domain()
tdim = domain.topological_dimension()
if not domain.is_piecewise_linear_simplex_domain():
# Don't lower for non-affine cells, instead leave it to
# form compiler
warning("Only know how to compute the facet area of an affine cell.")
return o
# Area of "facet" of interval (i.e. "area" of a vertex) is defined as 1.0
if tdim == 1:
return FloatValue(1.0)
r = self.facet_jacobian_determinant(FacetJacobianDeterminant(domain))
r0 = ReferenceFacetVolume(domain)
return abs(r * r0)