2D element map for an parabel arc. More...

#include <elementMaps.hh>

Inheritance diagram for concepts::ParabelMappingEdge2d:

Public Member Functions
virtual ParabelMappingEdge2d *	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 MappingEdge2d *	inverse () const
	Returns the mapping of the edge in inverse direction. 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...

	ParabelMappingEdge2d (const ParabelMappingEdge2d &edgemap)
	Copy Constructor. More...

	ParabelMappingEdge2d (const Real2d vtx0, const Real2d vtx1, const Real2d cusp, const Real2d ap)
	Constructor. More...

ParabelMappingEdge2d *	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 Real	s_ (const Real t) const
	Returns the parameter s on the parabel arc. More...

Private Attributes
const Real2d	cusp_
	Coordinates of the cusp. More...

const Real	deltas_

Real	p_
	Radius of curvature circle at the cusp. More...

const Real	s0_
	Values describing the vertices on the parabel. More...

const UnitNd< 2 >	v_
	Direction of the aperture and clockwise by 90 degree rotated vector. More...

const UnitNd< 2 >	vrot_

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() [1/2]

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

◆ ParabelMappingEdge2d() [2/2]

concepts::ParabelMappingEdge2d::ParabelMappingEdge2d ( const ParabelMappingEdge2d & edgemap )

Copy Constructor.

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

◆ 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::MappingQuadEdge2d, concepts::EllipseMappingEdge2d, concepts::CircleMappingEdge2d, concepts::MappingStraightEdge2d, concepts::InverseMappingEdge2d, and concepts::PartMappingEdge2d.

◆ 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::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.

◆ s_()

const Real concepts::ParabelMappingEdge2d::s_ ( const Real t ) const

private

Returns the parameter s on the parabel arc.

◆ 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

◆ cusp_

const Real2d concepts::ParabelMappingEdge2d::cusp_

private

Coordinates of the cusp.

Definition at line 404 of file elementMaps.hh.

◆ deltas_

const Real concepts::ParabelMappingEdge2d::deltas_

private

Definition at line 406 of file elementMaps.hh.

◆ p_

Real concepts::ParabelMappingEdge2d::p_

private

Radius of curvature circle at the cusp.

Definition at line 408 of file elementMaps.hh.

◆ s0_

const Real concepts::ParabelMappingEdge2d::s0_

private

Values describing the vertices on the parabel.

Definition at line 406 of file elementMaps.hh.

◆ v_

const UnitNd<2> concepts::ParabelMappingEdge2d::v_

private

Direction of the aperture and clockwise by 90 degree rotated vector.

Definition at line 402 of file elementMaps.hh.

◆ vrot_

const UnitNd<2> concepts::ParabelMappingEdge2d::vrot_

private

Definition at line 402 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.

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

geometry/elementMaps.hh

concepts::ParabelMappingEdge2d Class Reference

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ ParabelMappingEdge2d() [1/2]

◆ ParabelMappingEdge2d() [2/2]

Member Function Documentation

◆ clone()

◆ curvature()

◆ derivative()

◆ info()

◆ inverse()

◆ n0()

◆ normal()

◆ operator()()

◆ part()

◆ s_()

◆ vtx()

Member Data Documentation

◆ cusp_

◆ deltas_

◆ p_

◆ s0_

◆ v_

◆ vrot_

◆ vtx_