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

Inheritance diagram for TorusManifold< dim >:

Public Member Functions
	TorusManifold (const double R, const double r)

virtual std::unique_ptr< Manifold< dim, 3 > >	clone () const override

virtual Point< 3 >	pull_back (const Point< 3 > &p) const override

virtual Point< 3 >	push_forward (const Point< 3 > &chart_point) const override

virtual DerivativeForm< 1, 3, 3 >	push_forward_gradient (const Point< 3 > &chart_point) const override

Public Member Functions inherited from ChartManifold< dim, 3, 3 >
	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 Point< chartdim >	pull_back (const Point< spacedim > &space_point) const=0

virtual Point< spacedim >	push_forward (const Point< chartdim > &chart_point) const=0

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

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

Tensor< 1, 2 >	normal_vector (const Triangulation< 2, 2 >::face_iterator &face, const Point< 2 > &p) const

Tensor< 1, 3 >	normal_vector (const Triangulation< 3, 3 >::face_iterator &face, const Point< 3 > &p) const

void	get_normals_at_vertices (const Triangulation< 2, 2 >::face_iterator &face, FaceVertexNormals &n) const

void	get_normals_at_vertices (const Triangulation< 3, 3 >::face_iterator &face, FaceVertexNormals &n) const

Point< 1 >	get_new_point_on_face (const Triangulation< 1, 1 >::face_iterator &) const

Point< 2 >	get_new_point_on_face (const Triangulation< 1, 2 >::face_iterator &) const

Point< 3 >	get_new_point_on_face (const Triangulation< 1, 3 >::face_iterator &) const

Point< 1 >	get_new_point_on_quad (const Triangulation< 1, 1 >::quad_iterator &) const

Point< 2 >	get_new_point_on_quad (const Triangulation< 1, 2 >::quad_iterator &) const

Point< 3 >	get_new_point_on_quad (const Triangulation< 1, 3 >::quad_iterator &) const

Point< 3 >	get_new_point_on_hex (const Triangulation< 3, 3 >::hex_iterator &hex) const

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 int	chartdim = 3

static const int	spacedim = 3

Private Attributes
double	r

double	R

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>
class TorusManifold< dim >

Manifold description for the surface of a Torus in three dimensions. The Torus is assumed to be in the x-z plane. The reference coordinate system is given by the angle \(phi\) around the y axis, the angle \(theta\) around the centerline of the torus, and the distance to the centerline \(w\) (between 0 and 1).

This class was developed to be used in conjunction with GridGenerator::torus.

Author: Timo Heister, 2016

Definition at line 788 of file manifold_lib.h.

Constructor & Destructor Documentation

◆ TorusManifold()

template<int dim>

TorusManifold< dim >::TorusManifold	(	const double	R,
		const double	r
	)

Constructor. Specify the radius of the centerline R and the radius of the torus itself (r). The variables have the same meaning as the parameters in GridGenerator::torus().

Definition at line 1582 of file manifold_lib.cc.

Member Function Documentation

◆ clone()

template<int dim>

std::unique_ptr< Manifold< dim, 3 > > TorusManifold< dim >::clone

overridevirtual

Make a clone of this Manifold object.

Implements Manifold< dim, spacedim >.

Definition at line 1597 of file manifold_lib.cc.

◆ pull_back()

template<int dim>

Point< 3 > TorusManifold< dim >::pull_back ( const Point< 3 > & p ) const

overridevirtual

Pull back operation.

Definition at line 1551 of file manifold_lib.cc.

◆ push_forward()

template<int dim>

Point< 3 > TorusManifold< dim >::push_forward ( const Point< 3 > & chart_point ) const

overridevirtual

Push forward operation.

Definition at line 1568 of file manifold_lib.cc.

◆ push_forward_gradient()

template<int dim>

DerivativeForm< 1, 3, 3 > TorusManifold< dim >::push_forward_gradient ( const Point< 3 > & chart_point ) const

overridevirtual

Gradient.

Definition at line 1606 of file manifold_lib.cc.

Member Data Documentation

◆ chartdim

template<int dim>

const int TorusManifold< dim >::chartdim = 3

static

Definition at line 791 of file manifold_lib.h.

◆ spacedim

template<int dim>

const int TorusManifold< dim >::spacedim = 3

static

Definition at line 792 of file manifold_lib.h.

◆ r

template<int dim>

double TorusManifold< dim >::r

private

Definition at line 826 of file manifold_lib.h.

◆ R

template<int dim>

double TorusManifold< dim >::R

private

Definition at line 826 of file manifold_lib.h.

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

include/deal.II/grid/manifold_lib.h
source/grid/manifold_lib.cc

Public Member Functions

Static Public Attributes

Private Attributes

Additional Inherited Members

Detailed Description

template<int dim> class TorusManifold< dim >

Constructor & Destructor Documentation

◆ TorusManifold()

Member Function Documentation

◆ clone()

◆ pull_back()

◆ push_forward()

◆ push_forward_gradient()

Member Data Documentation

◆ chartdim

◆ spacedim

◆ r

◆ R

template<int dim>
class TorusManifold< dim >