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

Inheritance diagram for ConeBoundary< dim >:

Public Member Functions
	ConeBoundary (const double radius_0, const double radius_1, const Point< dim > x_0, const Point< dim > x_1)

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

double	get_radius (const Point< dim > x) const

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

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

virtual void	get_intermediate_points_on_line (const typename Triangulation< dim >::line_iterator &line, std::vector< Point< dim > > &points) const override

virtual void	get_intermediate_points_on_quad (const typename Triangulation< dim >::quad_iterator &quad, std::vector< Point< dim > > &points) const override

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

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

Public Member Functions inherited from StraightBoundary< dim >
	StraightBoundary ()

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

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

virtual void	get_intermediate_points_on_line (const typename Triangulation< dim, dim >::line_iterator &line, std::vector< Point< dim > > &points) const override

virtual void	get_intermediate_points_on_quad (const typename Triangulation< dim, dim >::quad_iterator &quad, std::vector< Point< dim > > &points) const override

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

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

virtual Point< dim >	project_to_surface (const typename Triangulation< dim, dim >::line_iterator &line, const Point< dim > &candidate) const override

virtual Point< dim >	project_to_surface (const typename Triangulation< dim, dim >::quad_iterator &quad, const Point< dim > &candidate) const override

virtual Point< dim >	project_to_surface (const typename Triangulation< dim, dim >::hex_iterator &hex, const Point< dim > &candidate) const override

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

virtual void	get_intermediate_points_on_line (const typename Triangulation< dim, spacedim >::line_iterator &line, std::vector< Point< spacedim > > &points) const

virtual void	get_intermediate_points_on_quad (const typename Triangulation< dim, spacedim >::quad_iterator &quad, std::vector< Point< spacedim > > &points) const

void	get_intermediate_points_on_face (const typename Triangulation< dim, spacedim >::face_iterator &face, std::vector< Point< spacedim > > &points) const

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

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

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

Public Member Functions inherited from FlatManifold< dim, spacedim >
	FlatManifold (const Tensor< 1, spacedim > &periodicity=Tensor< 1, spacedim >(), const double tolerance=1e-10)

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

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

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

virtual Point< spacedim >	get_intermediate_point (const Point< spacedim > &p1, const Point< spacedim > &p2, const double w) 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 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 (const char *identifier=nullptr) const

void	unsubscribe (const char *identifier=nullptr) const

unsigned int	n_subscriptions () const

void	list_subscribers () const

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

Protected Attributes
const double	radius_0

const double	radius_1

const Point< dim >	x_0

const Point< dim >	x_1

Private Member Functions
void	get_intermediate_points_between_points (const Point< dim > &p0, const Point< dim > &p1, std::vector< Point< dim > > &points) const

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, std::string arg2, std::string arg3)

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

Protected Member Functions inherited from Boundary< dim, dim >
const std::vector< Point< 1 > > &	get_line_support_points (const unsigned int n_intermediate_points) const

Detailed Description

template<int dim>
class ConeBoundary< dim >

Boundary object for the hull of a (truncated) cone with two different radii at the two ends. If one radius is chosen to be 0 the object describes the boundary of a cone. In three dimensions, points are projected on an arbitrarily oriented (truncated) cone described by the two endpoints and the corresponding radii. Similar to HyperBallBoundary, new points are projected by dividing the straight line between the old two points and adjusting the radius from the axis.

This class is derived from StraightBoundary rather than from Boundary, which would seem natural, since this way we can use the StraightBoundary::in_between() function.

As an example of use, consider the following code snippet:

Triangulation<dim> triangulation;
GridGenerator::truncated_cone (triangulation);
Point<dim> p1, p2;
p1[0] = -1;
p2[0] = 1;
const ConeBoundary<dim> boundary (1, 0.5, p1, p2);
triangulation.set_boundary (0, boundary);
triangulation.refine_global (2);

This will produce the following meshes after the two refinements we perform, in 2d and 3d, respectively:

Deprecated:: The boundary classes have been deprecated in favor of the more general Manifold classes. For this class CylindricalManifold is an appropriate replacement for spacedim==3, else StraightManifold can be used.

Author: Markus Bürg, 2009

Definition at line 209 of file tria_boundary_lib.h.

Constructor & Destructor Documentation

◆ ConeBoundary()

template<int dim>

ConeBoundary< dim >::ConeBoundary	(	const double	radius_0,
		const double	radius_1,
		const Point< dim >	x_0,
		const Point< dim >	x_1
	)

Constructor. Here the boundary object is constructed. The points x_0 and x_1 describe the starting and ending points of the axis of the (truncated) cone. radius_0 denotes the radius corresponding to x_0 and radius_1 the one corresponding to x_1.

Definition at line 286 of file tria_boundary_lib.cc.

Member Function Documentation

◆ clone()

template<int dim>

std::unique_ptr< Manifold< dim, dim > > ConeBoundary< dim >::clone ( ) const

overridevirtual

Clone this Boundary object.

Reimplemented from StraightBoundary< dim >.

Definition at line 300 of file tria_boundary_lib.cc.

◆ get_radius()

template<int dim>

double ConeBoundary< dim >::get_radius ( const Point< dim > x ) const

Return the radius of the (truncated) cone at given point x on the axis.

Definition at line 308 of file tria_boundary_lib.cc.

◆ get_new_point_on_line()

template<int dim>

Point< dim > ConeBoundary< dim >::get_new_point_on_line ( const typename Triangulation< dim >::line_iterator & line ) const

overridevirtual

Refer to the general documentation of this class and the documentation of the base class.

Definition at line 352 of file tria_boundary_lib.cc.

◆ get_new_point_on_quad()

template<int dim>

Point< dim > ConeBoundary< dim >::get_new_point_on_quad ( const typename Triangulation< dim >::quad_iterator & quad ) const

overridevirtual

Refer to the general documentation of this class and the documentation of the base class.

Definition at line 391 of file tria_boundary_lib.cc.

◆ get_intermediate_points_on_line()

template<int dim>

void ConeBoundary< dim >::get_intermediate_points_on_line	(	const typename Triangulation< dim >::line_iterator &	line,
		std::vector< Point< dim > > &	points
	)		const

overridevirtual

Refer to the general documentation of this class and the documentation of the base class.

Calls get_intermediate_points_between_points.

Definition at line 403 of file tria_boundary_lib.cc.

◆ get_intermediate_points_on_quad()

template<int dim>

void ConeBoundary< dim >::get_intermediate_points_on_quad	(	const typename Triangulation< dim >::quad_iterator &	quad,
		std::vector< Point< dim > > &	points
	)		const

overridevirtual

Refer to the general documentation of this class and the documentation of the base class.

Only implemented for dim=3 and for points.size()==1.

Definition at line 454 of file tria_boundary_lib.cc.

◆ get_normals_at_vertices()

template<int dim>

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

overridevirtual

Compute the normals to the boundary at the vertices of the given face.

Refer to the general documentation of this class and the documentation of the base class.

Definition at line 477 of file tria_boundary_lib.cc.

◆ normal_vector()

template<int dim>

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

inlineoverridevirtual

Implementation of the function declared in the base class.

Refer to the general documentation of this class and the documentation of the base class.

Definition at line 501 of file tria_boundary_lib.cc.

◆ get_intermediate_points_between_points()

template<int dim>

void ConeBoundary< dim >::get_intermediate_points_between_points	(	const Point< dim > &	p0,
		const Point< dim > &	p1,
		std::vector< Point< dim > > &	points
	)		const

private

Called by get_intermediate_points_on_line and by get_intermediate_points_on_quad.

Refer to the general documentation of get_intermediate_points_on_line in the documentation of the base class.

Definition at line 322 of file tria_boundary_lib.cc.

Member Data Documentation

◆ radius_0

template<int dim>

const double ConeBoundary< dim >::radius_0

protected

First radius of the (truncated) cone.

Definition at line 300 of file tria_boundary_lib.h.

◆ radius_1

template<int dim>

const double ConeBoundary< dim >::radius_1

protected

Second radius of the (truncated) cone.

Definition at line 305 of file tria_boundary_lib.h.

◆ x_0

template<int dim>

const Point<dim> ConeBoundary< dim >::x_0

protected

Starting point of the axis.

Definition at line 310 of file tria_boundary_lib.h.

◆ x_1

template<int dim>

const Point<dim> ConeBoundary< dim >::x_1

protected

Ending point of the axis.

Definition at line 315 of file tria_boundary_lib.h.

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

deal.II/grid/tria_boundary_lib.h
source/grid/tria_boundary_lib.cc

Public Member Functions

Protected Attributes

Private Member Functions

Additional Inherited Members

Detailed Description

template<int dim> class ConeBoundary< dim >

Constructor & Destructor Documentation

◆ ConeBoundary()

Member Function Documentation

◆ clone()

◆ get_radius()

◆ get_new_point_on_line()

◆ get_new_point_on_quad()

◆ get_intermediate_points_on_line()

◆ get_intermediate_points_on_quad()

◆ get_normals_at_vertices()

◆ normal_vector()

◆ get_intermediate_points_between_points()

Member Data Documentation

◆ radius_0

◆ radius_1

◆ x_0

◆ x_1

template<int dim>
class ConeBoundary< dim >