concepts::EllipseMappingEdge2d Class Reference

2D element map for an ellipsoidal arc (not skewed) More...

#include <elementMaps.hh>

Inheritance diagram for concepts::EllipseMappingEdge2d:

Public Member Functions
virtual EllipseMappingEdge2d *	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...
	EllipseMappingEdge2d (const EllipseMappingEdge2d &edgemap)
	Copy Constructor. More...
	EllipseMappingEdge2d (const Real2d center, const Real a, const Real b, const Real2d vtx0, const Real2d vtx1)
	Constructor. More...
virtual EllipseMappingEdge2d *	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...
EllipseMappingEdge2d *	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
	EllipseMappingEdge2d (const Real2d center, const Real a, const Real b, const Real angle0, const Real angle1)

Private Attributes
Real	a_
	Half axes. More...
Real	angle0_
	Angles between one vertex and the ellipse center. More...
Real	angle1_
Real	b_
Real2d	m_
	Mid point of the ellipse. More...

Detailed Description

2D element map for an ellipsoidal arc (not skewed)

The edge is given by two vertices, the center and the two half axes.

This class may be used in connection with BlendingQuad2d.

See also

BlendingQuad2d

Author

, Kersten Schmidt, 2006

Definition at line 338 of file elementMaps.hh.

Constructor & Destructor Documentation

EllipseMappingEdge2d() [1/3]

concepts::EllipseMappingEdge2d::EllipseMappingEdge2d	(	const Real2d	center,
		const Real	a,
		const Real	b,
		const Real2d	vtx0,
		const Real2d	vtx1
	)

Constructor.

Parameters

center	center of the ellipse
a,b	length of the half axes
vtx0,vtx1	coordinates of the vertices

EllipseMappingEdge2d() [2/3]

concepts::EllipseMappingEdge2d::EllipseMappingEdge2d

(

const EllipseMappingEdge2d &

edgemap

)

Copy Constructor.

EllipseMappingEdge2d() [3/3]

concepts::EllipseMappingEdge2d::EllipseMappingEdge2d ( const Real2d  center, const Real  a, const Real  b, const Real  angle0, const Real  angle1  )

private

Member Function Documentation

clone()

virtual EllipseMappingEdge2d* concepts::EllipseMappingEdge2d::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::EllipseMappingEdge2d::derivative ( const Real  t, const uint  n = 1  ) const

virtual

Returns the n-th derivative.

Implements concepts::MappingEdge2d.

info()

virtual std::ostream& concepts::EllipseMappingEdge2d::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::MappingEdge2d.

inverse()

virtual EllipseMappingEdge2d* concepts::EllipseMappingEdge2d::inverse ( ) const

virtual

Returns the mapping of the edge in inverse direction.

Reimplemented from concepts::MappingEdge2d.

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::EllipseMappingEdge2d::operator() ( const Real  t ) const

virtual

Application operator.

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

Implements concepts::MappingEdge2d.

part()

EllipseMappingEdge2d* concepts::EllipseMappingEdge2d::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

a_

Real concepts::EllipseMappingEdge2d::a_

private

Half axes.

Definition at line 363 of file elementMaps.hh.

angle0_

Real concepts::EllipseMappingEdge2d::angle0_

private

Angles between one vertex and the ellipse center.

Definition at line 365 of file elementMaps.hh.

angle1_

Real concepts::EllipseMappingEdge2d::angle1_

private

Definition at line 365 of file elementMaps.hh.

b_

Real concepts::EllipseMappingEdge2d::b_

private

Definition at line 363 of file elementMaps.hh.

m_

Real2d concepts::EllipseMappingEdge2d::m_

private

Mid point of the ellipse.

Definition at line 361 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.

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

• geometry/elementMaps.hh