concepts::ParabelMappingEdge2d Class Reference

#include <elementMaps.hh>

Inheritance diagram for concepts::ParabelMappingEdge2d:

Public Member Functions
	ParabelMappingEdge2d (const Real2d vtx0, const Real2d vtx1, const Real2d cusp, const Real2d ap)
	ParabelMappingEdge2d (const ParabelMappingEdge2d &edgemap)
	Copy Constructor.
virtual ParabelMappingEdge2d *	clone () const
	Virtual copy constructor.
virtual Real2d	operator() (const Real t) const
virtual Real2d	derivative (const Real t, const uint n=1) const
	Returns the n-th derivative.
ParabelMappingEdge2d *	part (const Real t0, const Real t1) const
virtual MappingEdge2d *	inverse () const
	Returns the mapping of the edge in inverse direction.
virtual Real2d	normal (const Real t) const
	Returns the right normal vector, length is that of the derivative.
Real2d	n0 (const Real t) const
	Returns the normalised right normal vector.
virtual Real	curvature (const Real t, uint n=0) const
const Real2d &	vtx (uint i) const
	Spit out one vertex of the edge.

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Protected Attributes
Real2d	vtx_ [2]
	Coordinates of the vertices at either end of the edge.

Detailed Description

2D element map for an parabel arc.

The edge is given by two vertices, the cusp (Scheitelpunkt) and the direction direction of parabel aperture.

Author

, Kersten Schmidt, 2004

Definition at line 380 of file elementMaps.hh.

Constructor & Destructor Documentation

ParabelMappingEdge2d()

concepts::ParabelMappingEdge2d::ParabelMappingEdge2d	(	const Real2d	vtx0,
		const Real2d	vtx1,
		const Real2d	cusp,
		const Real2d	ap
	)

Constructor

Parameters

vtx0,vtx1	coordinates of the vertices
cusp	coordinates of the cusp
ap	direction of the aperture, sign not important

Member Function Documentation

clone()

virtual ParabelMappingEdge2d * concepts::ParabelMappingEdge2d::clone ( ) const

virtual

Virtual copy constructor.

Implements concepts::MappingEdge2d.

curvature()

virtual Real concepts::MappingEdge2d::curvature ( const Real  t, uint  n = 0  ) const

virtualinherited

Returns the n-th derivative of the curvature.

It's implemented in general for n = 0,1 and works with curved edges. Can be overwritten in derived classes for performance reasons.

Reimplemented in concepts::CircleMappingEdge2d, concepts::MappingParallelEdge2d, concepts::InverseMappingEdge2d, and concepts::MappingStraightEdge2d.

derivative()

virtual Real2d concepts::ParabelMappingEdge2d::derivative ( const Real  t, const uint  n = 1  ) const

virtual

Returns the n-th derivative.

Implements concepts::MappingEdge2d.

info()

virtual std::ostream & concepts::ParabelMappingEdge2d::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::MappingEdge2d.

inverse()

virtual MappingEdge2d * concepts::MappingEdge2d::inverse ( ) const

virtualinherited

Returns the mapping of the edge in inverse direction.

Reimplemented in concepts::PartMappingEdge2d, concepts::InverseMappingEdge2d, concepts::MappingStraightEdge2d, concepts::CircleMappingEdge2d, concepts::EllipseMappingEdge2d, and concepts::MappingQuadEdge2d.

n0()

Real2d concepts::MappingEdge2d::n0 ( const Real  t ) const

inlineinherited

Returns the normalised right normal vector.

Definition at line 107 of file elementMaps.hh.

operator()()

virtual Real2d concepts::ParabelMappingEdge2d::operator() ( const Real  t ) const

virtual

Application operator. Maps the point from the parameter domain onto the physical space.

Implements concepts::MappingEdge2d.

part()

ParabelMappingEdge2d * concepts::ParabelMappingEdge2d::part ( const Real  t0, const Real  t1  ) const

virtual

Returns a new object of an element map for a rectangular part of the reference cell defined by the two points.

Reimplemented from concepts::MappingEdge2d.

vtx()

const Real2d & concepts::MappingEdge2d::vtx ( uint  i ) const

inlineinherited

Spit out one vertex of the edge.

Definition at line 124 of file elementMaps.hh.

Member Data Documentation

vtx_

Real2d concepts::MappingEdge2d::vtx_[2]

protectedinherited

Coordinates of the vertices at either end of the edge.

Definition at line 128 of file elementMaps.hh.

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

• geometry/elementMaps.hh