2D element map for an edge as part of an quad. More...

#include <elementMaps.hh>

Inheritance diagram for concepts::MappingQuadEdge2d:

Public Member Functions
virtual MappingQuadEdge2d *	clone () const
	Virtual copy constructor. More...

virtual Real	curvature (const Real t, uint n=0) const
	Returns the n-th derivative of the curvature. More...

virtual Real2d	derivative (const Real t, const uint n=1) const
	Returns the n-th derivative. More...

virtual MappingQuadEdge2d *	inverse () const
	Returns the mapping of the edge in inverse direction. More...

	MappingQuadEdge2d (const MappingQuad2d &map, const Real2d xi0, const Real2d xi1)
	Constructor for an locally straight edge inside the quad. More...

	MappingQuadEdge2d (const MappingQuad2d &map, const uint edge)
	Constructor for a real edge. More...

	MappingQuadEdge2d (const MappingQuadEdge2d &edgemap)
	Copy Constructor. More...

Real2d	n0 (const Real t) const
	Returns the normalised right normal vector. More...

virtual Real2d	normal (const Real t) const
	Returns the right normal vector, length is that of the derivative. More...

virtual Real2d	operator() (const Real t) const
	Application operator. More...

virtual MappingEdge2d *	part (const Real t0, const Real t1) const
	Returns a new object of an element map for a rectangular part of the reference cell defined by the two points. More...

const Real2d &	vtx (uint i) const
	Spit out one vertex of the edge. More...

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

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

Private Member Functions
const Real2d	lcoord_ (const Real t) const

const Real2d	lderiv_ (const Real t) const

Private Attributes
std::unique_ptr< MappingQuad2d >	map_
	Mapping of the Quad. More...

Real2d	xi_
	First vertex and direction of the edge in local coordinates. More...

Real2d	xidiff_

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() [1/3]

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() [2/3]

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

◆ MappingQuadEdge2d() [3/3]

concepts::MappingQuadEdge2d::MappingQuadEdge2d ( const MappingQuadEdge2d & edgemap )

Copy Constructor.

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

◆ 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.

◆ lcoord_()

const Real2d concepts::MappingQuadEdge2d::lcoord_ ( const Real t ) const

inlineprivate

Definition at line 504 of file elementMaps.hh.

◆ lderiv_()

const Real2d concepts::MappingQuadEdge2d::lderiv_ ( const Real t ) const

inlineprivate

Definition at line 508 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.

◆ normal()

virtual Real2d concepts::MappingEdge2d::normal ( const Real t ) const

virtualinherited

Returns the right normal vector, length is that of the derivative.

◆ 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::MappingParallelEdge2d, concepts::ParabelMappingEdge2d, concepts::EllipseMappingEdge2d, concepts::CircleMappingEdge2d, concepts::MappingStraightEdge2d, and concepts::InverseMappingEdge2d.

◆ 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

◆ map_

std::unique_ptr<MappingQuad2d> concepts::MappingQuadEdge2d::map_

private

Mapping of the Quad.

Definition at line 499 of file elementMaps.hh.

◆ 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.

◆ xi_

Real2d concepts::MappingQuadEdge2d::xi_

private

First vertex and direction of the edge in local coordinates.

Definition at line 501 of file elementMaps.hh.

◆ xidiff_

Real2d concepts::MappingQuadEdge2d::xidiff_

private

Definition at line 501 of file elementMaps.hh.

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

geometry/elementMaps.hh

concepts::MappingQuadEdge2d Class Reference

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ MappingQuadEdge2d() [1/3]

◆ MappingQuadEdge2d() [2/3]

◆ MappingQuadEdge2d() [3/3]

Member Function Documentation

◆ clone()

◆ curvature()

◆ derivative()

◆ info()

◆ inverse()

◆ lcoord_()

◆ lderiv_()

◆ n0()

◆ normal()

◆ operator()()

◆ part()

◆ vtx()

Member Data Documentation

◆ map_

◆ vtx_

◆ xi_

◆ xidiff_