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

Inheritance diagram for TorusManifold< dim >:

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

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

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

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

Public Member Functions inherited from ChartManifold< dim, 3, 3 >
	ChartManifold (const Tensor< 1, chartdim > &periodicity=Tensor< 1, chartdim >())

virtual	~ChartManifold ()

virtual Point< spacedim >	get_new_point (const Quadrature< spacedim > &quad) const 1

virtual Point< spacedim >	get_new_point (const std::vector< Point< spacedim > > &surrounding_points, const std::vector< double > &weights) const

virtual void	add_new_points (const std::vector< Point< spacedim > > &surrounding_points, const Table< 2, double > &weights, std::vector< Point< spacedim > > &new_points) const

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

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

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

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

virtual Point< spacedim >	project_to_manifold (const std::vector< 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 &&)

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&)

void	subscribe (const char *identifier=0) const

void	unsubscribe (const char *identifier=0) const

unsigned int	n_subscriptions () const

void	list_subscribers () const

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

Additional Inherited Members
Public Types inherited from Manifold< dim, spacedim >
typedef Tensor< 1, spacedim >	FaceVertexNormals[GeometryInfo< dim >::vertices_per_face]

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

static ::ExceptionBase &	ExcNoSubscriber (char arg1, char 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 487 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 510 of file manifold_lib.cc.

Member Function Documentation

◆ pull_back()

template<int dim>

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

virtual

Pull back operation.

Definition at line 483 of file manifold_lib.cc.

◆ push_forward()

template<int dim>

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

virtual

Push forward operation.

Definition at line 496 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

virtual

Gradient.

Definition at line 522 of file manifold_lib.cc.

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

deal.II/grid/manifold_lib.h
/build/deal.ii-IXg7Js/deal.ii-8.5.1/source/grid/manifold_lib.cc

Public Member Functions

Additional Inherited Members

Detailed Description

template<int dim> class TorusManifold< dim >

Constructor & Destructor Documentation

◆ TorusManifold()

Member Function Documentation

◆ pull_back()

◆ push_forward()

◆ push_forward_gradient()

template<int dim>
class TorusManifold< dim >