Public Member Functions | Protected Attributes | Private Member Functions

ConeBoundary< dim > Class Template Reference

Inheritance diagram for ConeBoundary< dim >:
Inheritance graph
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List of all members.

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

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

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:

cone_2d.png
cone_3d.png
Author:
Markus Bürg, 2009

Definition at line 223 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 320 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 326 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 331 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 336 of file tria_boundary_lib.h.


The documentation for this class was generated from the following file:
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deal.II documentation generated on Thu May 17 2012 20:05:29 by doxygen 1.7.3