Inherits Manifold< dim, spacedim >.

Public Member Functions
	SphericalManifold (const Point< spacedim > center=Point< spacedim >())

virtual std::unique_ptr< Manifold< dim, spacedim > >	clone () const override

virtual Point< spacedim >	get_intermediate_point (const Point< spacedim > &p1, const Point< spacedim > &p2, const double w) const override

virtual Tensor< 1, spacedim >	get_tangent_vector (const Point< spacedim > &x1, const Point< spacedim > &x2) const override

virtual Tensor< 1, spacedim >	normal_vector (const typename Triangulation< dim, spacedim >::face_iterator &face, const Point< spacedim > &p) const override

virtual void	get_normals_at_vertices (const typename Triangulation< dim, spacedim >::face_iterator &face, typename Manifold< dim, spacedim >::FaceVertexNormals &face_vertex_normals) const override

virtual void	get_new_points (const ArrayView< const Point< spacedim >> &surrounding_points, const Table< 2, double > &weights, ArrayView< Point< spacedim >> new_points) const override

virtual Point< spacedim >	get_new_point (const ArrayView< const Point< spacedim >> &vertices, const ArrayView< const double > &weights) const override

Public Attributes
const Point< spacedim >	center

Private Member Functions
std::pair< double, Tensor< 1, spacedim > >	guess_new_point (const ArrayView< const Tensor< 1, spacedim >> &directions, const ArrayView< const double > &distances, const ArrayView< const double > &weights) const

void	do_get_new_points (const ArrayView< const Point< spacedim >> &surrounding_points, const ArrayView< const double > &weights, ArrayView< Point< spacedim >> new_points) const

Private Attributes
const PolarManifold< spacedim >	polar_manifold

Detailed Description

template<int dim, int spacedim = dim>
class aspect::SphericalManifold< dim, spacedim >

The deal.II class SphericalManifold has a design flaw that made it impossible to derive from the class. This is fixed post-9.5, see https://github.com/dealii/dealii/pull/16242 and https://github.com/dealii/dealii/pull/16248, but we can't use deal.II 9.5 and earlier for this class. The current class here is therefore a copy of the fixed class.

Definition at line 1107 of file compat.h.

Constructor & Destructor Documentation

§ SphericalManifold()

template<int dim, int spacedim = dim>

aspect::SphericalManifold< dim, spacedim >::SphericalManifold ( const Point< spacedim > center = Point< spacedim >() )

Constructor.

Parameters

[in] center The center of the coordinate system. Defaults to the origin.

Member Function Documentation

§ clone()

template<int dim, int spacedim = dim>

virtual std::unique_ptr<Manifold<dim, spacedim> > aspect::SphericalManifold< dim, spacedim >::clone ( ) const

overridevirtual

Make a clone of this Manifold object.

Reimplemented in aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >.

§ get_intermediate_point()

template<int dim, int spacedim = dim>

virtual Point<spacedim> aspect::SphericalManifold< dim, spacedim >::get_intermediate_point	(	const Point< spacedim > &	p1,
		const Point< spacedim > &	p2,
		const double	w
	)		const

overridevirtual

Given any two points in space, first project them on the surface of a sphere with unit radius, then connect them with a geodesic and find the intermediate point, and finally rescale the final radius so that the resulting one is the convex combination of the starting radii.

Reimplemented in aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >.

§ get_tangent_vector()

template<int dim, int spacedim = dim>

virtual Tensor<1, spacedim> aspect::SphericalManifold< dim, spacedim >::get_tangent_vector	(	const Point< spacedim > &	x1,
		const Point< spacedim > &	x2
	)		const

overridevirtual

Compute the derivative of the get_intermediate_point() function with parameter w equal to zero.

Reimplemented in aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >.

§ normal_vector()

template<int dim, int spacedim = dim>

virtual Tensor<1, spacedim> aspect::SphericalManifold< dim, spacedim >::normal_vector	(	const typename Triangulation< dim, spacedim >::face_iterator &	face,
		const Point< spacedim > &	p
	)		const

overridevirtual

Reimplemented in aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >.

§ get_normals_at_vertices()

template<int dim, int spacedim = dim>

virtual void aspect::SphericalManifold< dim, spacedim >::get_normals_at_vertices	(	const typename Triangulation< dim, spacedim >::face_iterator &	face,
		typename Manifold< dim, spacedim >::FaceVertexNormals &	face_vertex_normals
	)		const

overridevirtual

Compute the normal vectors to the boundary at each vertex.

Reimplemented in aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >.

§ get_new_points()

template<int dim, int spacedim = dim>

virtual void aspect::SphericalManifold< dim, spacedim >::get_new_points	(	const ArrayView< const Point< spacedim >> &	surrounding_points,
		const Table< 2, double > &	weights,
		ArrayView< Point< spacedim >>	new_points
	)		const

overridevirtual

Compute a new set of points that interpolate between the given points surrounding_points. weights is a table with as many columns as surrounding_points.size(). The number of rows in weights must match the length of new_points.

This function is optimized to perform on a collection of new points, by collecting operations that are not dependent on the weights outside of the loop over all new points.

The implementation does not allow for surrounding_points and new_points to point to the same array, so make sure to pass different objects into the function.

Reimplemented in aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >.

§ get_new_point()

template<int dim, int spacedim = dim>

virtual Point<spacedim> aspect::SphericalManifold< dim, spacedim >::get_new_point	(	const ArrayView< const Point< spacedim >> &	vertices,
		const ArrayView< const double > &	weights
	)		const

overridevirtual

Return a point on the spherical manifold which is intermediate with respect to the surrounding points.

Reimplemented in aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >.

§ guess_new_point()

template<int dim, int spacedim = dim>

std::pair<double, Tensor<1, spacedim> > aspect::SphericalManifold< dim, spacedim >::guess_new_point	(	const ArrayView< const Tensor< 1, spacedim >> &	directions,
		const ArrayView< const double > &	distances,
		const ArrayView< const double > &	weights
	)		const

private

Return a point on the spherical manifold which is intermediate with respect to the surrounding points. This function uses a linear average of the directions to find an estimated point. It returns a pair of radius and direction from the center point to the candidate point.

§ do_get_new_points()

template<int dim, int spacedim = dim>

void aspect::SphericalManifold< dim, spacedim >::do_get_new_points	(	const ArrayView< const Point< spacedim >> &	surrounding_points,
		const ArrayView< const double > &	weights,
		ArrayView< Point< spacedim >>	new_points
	)		const

private

This function provides an internal implementation of the get_new_points() interface.

It computes a new set of points that interpolate between the given points surrounding_points. weights is an array view with as many entries as surrounding_points.size() times new_points.size().

This function is optimized to perform on a collection of new points, by collecting operations that are not dependent on the weights outside of the loop over all new points.

The implementation does not allow for surrounding_points and new_points to point to the same array, so make sure to pass different objects into the function.

Member Data Documentation

§ center

template<int dim, int spacedim = dim>

const Point<spacedim> aspect::SphericalManifold< dim, spacedim >::center

The center of the spherical coordinate system.

Definition at line 1191 of file compat.h.

§ polar_manifold

template<int dim, int spacedim = dim>

const PolarManifold<spacedim> aspect::SphericalManifold< dim, spacedim >::polar_manifold

private

A manifold description to be used for get_new_point in 2d.

Definition at line 1230 of file compat.h.

The documentation for this class was generated from the following file:

/home/bob/source/include/aspect/compat.h

Public Member Functions

Public Attributes

Private Member Functions

Private Attributes

Detailed Description

template<int dim, int spacedim = dim> class aspect::SphericalManifold< dim, spacedim >

Constructor & Destructor Documentation

§ SphericalManifold()

Member Function Documentation

§ clone()

§ get_intermediate_point()

§ get_tangent_vector()

§ normal_vector()

§ get_normals_at_vertices()

§ get_new_points()

§ get_new_point()

§ guess_new_point()

§ do_get_new_points()

Member Data Documentation

§ center

§ polar_manifold

template<int dim, int spacedim = dim>
class aspect::SphericalManifold< dim, spacedim >