Tensor product manifold of two ChartManifolds. More...

#include <deal.II/grid/tensor_product_manifold.h>

Inheritance diagram for TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >:

Public Member Functions
	TensorProductManifold (const ChartManifold< dim_A, spacedim_A, chartdim_A > &manifold_A, const ChartManifold< dim_B, spacedim_B, chartdim_B > &manifold_B)

virtual std::unique_ptr< Manifold< dim, spacedim_A+spacedim_B > >	clone () const override

virtual Point< chartdim >	pull_back (const Point< spacedim > &space_point) const override

virtual Point< spacedim >	push_forward (const Point< chartdim > &chart_point) const override

virtual DerivativeForm< 1, chartdim, spacedim >	push_forward_gradient (const Point< chartdim > &chart_point) const override

Public Member Functions inherited from ChartManifold< dim, spacedim_A+spacedim_B, chartdim_A+chartdim_B >
	ChartManifold (const Tensor< 1, chartdim > &periodicity=Tensor< 1, chartdim >())

virtual	~ChartManifold () override=default

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

virtual Point< spacedim >	get_new_point (const ArrayView< const Point< spacedim >> &surrounding_points, const ArrayView< const double > &weights) 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 Tensor< 1, spacedim >	get_tangent_vector (const Point< spacedim > &x1, const Point< spacedim > &x2) const override

const Tensor< 1, chartdim > &	get_periodicity () const

Public Member Functions inherited from Manifold< dim, spacedim >
virtual	~Manifold () override=default

virtual Point< spacedim >	project_to_manifold (const ArrayView< const Point< spacedim >> &surrounding_points, const Point< spacedim > &candidate) const

virtual Point< spacedim >	get_new_point_on_line (const typename Triangulation< dim, spacedim >::line_iterator &line) const

virtual Point< spacedim >	get_new_point_on_quad (const typename Triangulation< dim, spacedim >::quad_iterator &quad) const

virtual Point< spacedim >	get_new_point_on_hex (const typename Triangulation< dim, spacedim >::hex_iterator &hex) const

Point< spacedim >	get_new_point_on_face (const typename Triangulation< dim, spacedim >::face_iterator &face) const

Point< spacedim >	get_new_point_on_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const

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

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

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&) noexcept

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

unsigned int	n_subscriptions () const

template<typename StreamType >
void	list_subscribers (StreamType &stream) const

void	list_subscribers () const

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Static Public Attributes
static const unsigned int	chartdim = chartdim_A + chartdim_B

static const unsigned int	spacedim = spacedim_A + spacedim_B

Additional Inherited Members
Public Types inherited from Manifold< dim, spacedim >
using	FaceVertexNormals = std::array< Tensor< 1, spacedim >, GeometryInfo< dim >::vertices_per_face >

Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)

static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)

Detailed Description

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B>
class TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >

Tensor product manifold of two ChartManifolds.

This manifold will combine the ChartManifolds A and B given in the constructor to form a new ChartManifold by building the tensor product \(A\otimes B\). The first spacedim_A dimensions in the real space and the first chartdim_A dimensions of the chart will be given by manifold A, while the remaining coordinates are given by B. The manifold is to be used by a Triangulation<dim, space_dim_A+space_dim_B>.

An example usage would be the combination of a SphericalManifold with space dimension 2 and a FlatManifold with space dimension 1 to form a cylindrical manifold.

pull_back(), push_forward(), and push_forward_gradient() are implemented by splitting the input argument into inputs for A and B according to the given dimensions and applying the corresponding operations before concatenating the result.

Note: The dimension arguments dim_A and dim_B are not used.

Template Parameters

dim	Dimension of cells (needs to match first template argument of the Triangulation to be attached to.
dim_A	Dimension of ChartManifold A.
spacedim_A	Spacial dimension of ChartManifold A.
chartdim_A	Chart dimension of ChartManifold A.
dim_B	Dimension of ChartManifold B.
spacedim_B	Spacial dimension of ChartManifold B.
chartdim_B	Chart dimension of ChartManifold B.

Author: Luca Heltai, Timo Heister, 2016

Definition at line 71 of file tensor_product_manifold.h.

Constructor & Destructor Documentation

◆ TensorProductManifold()

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B>

TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::TensorProductManifold	(	const ChartManifold< dim_A, spacedim_A, chartdim_A > &	manifold_A,
		const ChartManifold< dim_B, spacedim_B, chartdim_B > &	manifold_B
	)

Constructor.

Definition at line 188 of file tensor_product_manifold.h.

Member Function Documentation

◆ clone()

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B>

std::unique_ptr< Manifold< dim, spacedim_A+spacedim_B > > TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::clone ( ) const

overridevirtual

Clone this manifold.

Implements Manifold< dim, spacedim >.

Definition at line 217 of file tensor_product_manifold.h.

◆ pull_back()

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B>

Point< TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::chartdim > TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::pull_back ( const Point< spacedim > & space_point ) const

overridevirtual

Pull back operation.

Implements ChartManifold< dim, spacedim_A+spacedim_B, chartdim_A+chartdim_B >.

Definition at line 250 of file tensor_product_manifold.h.

◆ push_forward()

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B>

Point< TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::spacedim > TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::push_forward ( const Point< chartdim > & chart_point ) const

overridevirtual

Push forward operation.

Implements ChartManifold< dim, spacedim_A+spacedim_B, chartdim_A+chartdim_B >.

Definition at line 293 of file tensor_product_manifold.h.

◆ push_forward_gradient()

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B>

DerivativeForm< 1, TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::chartdim, TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::spacedim > TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::push_forward_gradient ( const Point< chartdim > & chart_point ) const

overridevirtual

Gradient.

Reimplemented from ChartManifold< dim, spacedim_A+spacedim_B, chartdim_A+chartdim_B >.

Definition at line 345 of file tensor_product_manifold.h.

Member Data Documentation

◆ chartdim

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B>

const unsigned int TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::chartdim = chartdim_A + chartdim_B

static

The chart dimension is the sum of the chart dimensions of the manifolds A and B.

Definition at line 79 of file tensor_product_manifold.h.

◆ spacedim

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B>

const unsigned int TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >::spacedim = spacedim_A + spacedim_B

static

The space dimension is the sum of the space dimensions of the manifolds A and B.

Definition at line 84 of file tensor_product_manifold.h.

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

deal.II/grid/tensor_product_manifold.h

Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B> class TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >

Constructor & Destructor Documentation

◆ TensorProductManifold()

Member Function Documentation

◆ clone()

◆ pull_back()

◆ push_forward()

◆ push_forward_gradient()

Member Data Documentation

◆ chartdim

◆ spacedim

template<int dim, int dim_A, int spacedim_A, int chartdim_A, int dim_B, int spacedim_B, int chartdim_B>
class TensorProductManifold< dim, dim_A, spacedim_A, chartdim_A, dim_B, spacedim_B, chartdim_B >