concepts::MappingQuadEdge2d Class Reference

#include <elementMaps.hh>

Inheritance diagram for concepts::MappingQuadEdge2d:

Public Member Functions
	MappingQuadEdge2d (const MappingQuad2d &map, const uint edge)
	MappingQuadEdge2d (const MappingQuad2d &map, const Real2d xi0, const Real2d xi1)
	MappingQuadEdge2d (const MappingQuadEdge2d &edgemap)
	Copy Constructor.
virtual MappingQuadEdge2d *	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.
virtual MappingQuadEdge2d *	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
virtual MappingEdge2d *	part (const Real t0, const Real t1) 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 edge as part of an quad.

Author

, Kersten Schmidt, 2006

Definition at line 465 of file elementMaps.hh.

Constructor & Destructor Documentation

MappingQuadEdge2d() [1/2]

concepts::MappingQuadEdge2d::MappingQuadEdge2d	(	const MappingQuad2d &	map,
		const uint	edge
	)

Constructor for a real edge.

The edge mappings are directed counter-clockwise, i.e. for the lower edge from the left lower vertex to the right lower one.

Parameters

map	mapping of the Quad
edge	number of edge, i.e. 0 - lower, 1 - right, 2 - upper, 3 - left

MappingQuadEdge2d() [2/2]

concepts::MappingQuadEdge2d::MappingQuadEdge2d	(	const MappingQuad2d &	map,
		const Real2d	xi0,
		const Real2d	xi1
	)

Constructor for an locally straight edge inside the quad

Parameters

map	mapping of the Quad
xi0	local coordinates of first vertex
xi1	local coordinates of second vertex

Member Function Documentation

clone()

virtual MappingQuadEdge2d * concepts::MappingQuadEdge2d::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::MappingQuadEdge2d::derivative ( const Real  t, const uint  n = 1  ) const

virtual

Returns the n-th derivative.

Implements concepts::MappingEdge2d.

info()

virtual std::ostream & concepts::MappingQuadEdge2d::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::MappingEdge2d.

inverse()

virtual MappingQuadEdge2d * concepts::MappingQuadEdge2d::inverse ( ) const

inlinevirtual

Returns the mapping of the edge in inverse direction.

Reimplemented from concepts::MappingEdge2d.

Definition at line 492 of file elementMaps.hh.

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::MappingQuadEdge2d::operator() ( const Real  t ) const

virtual

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

Implements concepts::MappingEdge2d.

part()

virtual MappingEdge2d * concepts::MappingEdge2d::part ( const Real  t0, const Real  t1  ) const

virtualinherited

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

Reimplemented in concepts::InverseMappingEdge2d, concepts::MappingStraightEdge2d, concepts::CircleMappingEdge2d, concepts::EllipseMappingEdge2d, concepts::ParabelMappingEdge2d, and concepts::MappingParallelEdge2d.

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