Reference documentation for deal.II version 8.1.0
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ConeBoundary< dim > Class Template Reference

#include <tria_boundary_lib.h>

Inheritance diagram for ConeBoundary< dim >:
[legend]

Public Member Functions

 ConeBoundary (const double radius_0, const double radius_1, const Point< dim > x_0, const Point< dim > x_1)
 
double get_radius (const Point< dim > x) const
 
virtual Point< dim > get_new_point_on_line (const typename Triangulation< dim >::line_iterator &line) const
 
virtual Point< dim > get_new_point_on_quad (const typename Triangulation< dim >::quad_iterator &quad) const
 
virtual void get_intermediate_points_on_line (const typename Triangulation< dim >::line_iterator &line, std::vector< Point< dim > > &points) const
 
virtual void get_intermediate_points_on_quad (const typename Triangulation< dim >::quad_iterator &quad, std::vector< Point< dim > > &points) const
 
virtual void get_normals_at_vertices (const typename Triangulation< dim >::face_iterator &face, typename Boundary< dim >::FaceVertexNormals &face_vertex_normals) const
 
- Public Member Functions inherited from StraightBoundary< dim >
 StraightBoundary ()
 
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 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
 
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, typename Boundary< dim, spacedim >::FaceVertexNormals &face_vertex_normals) 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 Boundary< dim, spacedim >
virtual ~Boundary ()
 
Point< spacedim > get_new_point_on_face (const typename Triangulation< dim, spacedim >::face_iterator &face) const
 
void get_intermediate_points_on_face (const typename Triangulation< dim, spacedim >::face_iterator &face, std::vector< Point< spacedim > > &points) 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 &)
 
virtual ~Subscriptor ()
 
Subscriptoroperator= (const Subscriptor &)
 
void subscribe (const char *identifier=0) const
 
void unsubscribe (const char *identifier=0) const
 
unsigned int n_subscriptions () const
 
void list_subscribers () const
 
 DeclException3 (ExcInUse, int, char *, std::string &,<< "Object of class "<< arg2<< " is still used by "<< arg1<< " other objects.\n"<< "(Additional information: "<< arg3<< ")\n"<< "Note the entry in the Frequently Asked Questions of "<< "deal.II (linked to from http://www.dealii.org/) for "<< "more information on what this error means.")
 
 DeclException2 (ExcNoSubscriber, char *, char *,<< "No subscriber with identifier \""<< arg2<< "\" did subscribe to this object of class "<< arg1)
 
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 Boundary< dim, spacedim >
typedef Tensor< 1, spacedim > FaceVertexNormals [GeometryInfo< dim >::vertices_per_face]
 
- Protected Member Functions inherited from Boundary< dim, spacedim >
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;
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:

cone_2d.png
cone_3d.png
Author
Markus Bürg, 2009

Definition at line 225 of file tria_boundary_lib.h.

Constructor & Destructor Documentation

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.

Member Function Documentation

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.

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

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

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

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

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

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

Calls get_intermediate_points_between_points.

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

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.

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

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.

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.

Member Data Documentation

template<int dim>
const double ConeBoundary< dim >::radius_0
protected

First radius of the (truncated) cone.

Definition at line 322 of file tria_boundary_lib.h.

template<int dim>
const double ConeBoundary< dim >::radius_1
protected

Second radius of the (truncated) cone.

Definition at line 328 of file tria_boundary_lib.h.

template<int dim>
const Point<dim> ConeBoundary< dim >::x_0
protected

Starting point of the axis.

Definition at line 333 of file tria_boundary_lib.h.

template<int dim>
const Point<dim> ConeBoundary< dim >::x_1
protected

Ending point of the axis.

Definition at line 338 of file tria_boundary_lib.h.


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