A 2D cell: infinite rectangle. More...

#include <cell2D.hh>

Inheritance diagram for concepts::InfiniteRect2d:

Public Member Functions
Real3d	center () const
	Makes no sense. Calling throws an exception. More...

virtual Real2d	chi (Real xi, Real eta) const
	Evaluates the element map. More...

virtual InfiniteRect2d *	child (uint i)
	Returns a child. More...

virtual const InfiniteRect2d *	child (uint i) const
	Returns a child. More...

InfiniteRect2d *	clone (InfiniteQuad &cntr, const Real2d &vtx0, const Real2d &vtx1) const
	Returns a copy of itself. More...

InfiniteQuad &	connector () const
	Returns the quadrilateral connector (topology) More...

virtual Real3d	elemMap (const Real coord_local) const
	Element map from point local coordinates in 1D. More...

Real3d	elemMap (const Real2d &coord_local) const
	Element map from point local coordinates in 2D. More...

virtual Real3d	elemMap (const Real3d &coord_local) const
	Element map from point local coordinates in 3D. More...

bool	hasChildren () const

	InfiniteRect2d (InfiniteQuad &cntr, const Real2d &vtx0, const Real2d &vtx1)
	Constructor. More...

virtual MapReal2d	jacobian (const Real xi, const Real eta) const

Real3d	vertex (uint i) const
	Returns the coordinates of the ith vertex. More...

virtual	~InfiniteRect2d ()

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

Private Attributes
InfiniteRect2d *	chld_
	Pointer to the first child. More...

InfiniteQuad &	cntr_
	Reference to the quadrilateral connector (topology) More...

InfiniteRect2d *	lnk_
	Pointer to a sibling. More...

UnitNd< 2 >	n_
	Direction of the infinite edges (normalised) More...

Real2d	vtx_ [2]
	Vertices. More...

Detailed Description

A 2D cell: infinite rectangle.

If a infinite rectangle is subdivided, two new infinite infinite rectangles are created. This happens automatically, if a child is requested

See also: Cell for more information on cells in a mesh.

Definition at line 648 of file cell2D.hh.

Constructor & Destructor Documentation

◆ InfiniteRect2d()

concepts::InfiniteRect2d::InfiniteRect2d	(	InfiniteQuad &	cntr,
		const Real2d &	vtx0,
		const Real2d &	vtx1
	)

Constructor.

Takes the connector cntr and the element map map and creates a cell.

Parameters

cntr	Topological information of the infinite quadrilateral
map	Element map of the quadrilateral

◆ ~InfiniteRect2d()

virtual concepts::InfiniteRect2d::~InfiniteRect2d ( )

virtual

Member Function Documentation

◆ center()

Real3d concepts::InfiniteRect2d::center ( ) const

virtual

Makes no sense. Calling throws an exception.

Implements concepts::Cell2.

◆ chi()

virtual Real2d concepts::InfiniteRect2d::chi	(	Real	xi,
		Real	eta
	)		const

virtual

Evaluates the element map.

Maps a point from the the reference coordinates in [0,1]^[0,\infty) onto the physical coordinates.

Returns: Point in 2D in physical coordinates.

Parameters

xi	$\in [0,1]$
eta	$\in [0,\infty)$

Implements concepts::InfiniteQuad2d.

◆ child() [1/2]

virtual InfiniteRect2d* concepts::InfiniteRect2d::child ( uint i )

virtual

Returns a child.

If no children exist, four new children are created. The quadrilateral is cut into four new quadrilaterals by joining the midpoints of its edges.

Parameters

i	Index of the child to be returned.

Implements concepts::Cell2.

◆ child() [2/2]

virtual const InfiniteRect2d* concepts::InfiniteRect2d::child ( uint i ) const

virtual

Returns a child.

If no children exist, none are created and 0 is returned.

Parameters

i	Index of the child to be returned.

Implements concepts::Cell2.

◆ clone()

InfiniteRect2d* concepts::InfiniteRect2d::clone	(	InfiniteQuad &	cntr,
		const Real2d &	vtx0,
		const Real2d &	vtx1
	)		const

inline

Returns a copy of itself.

Definition at line 691 of file cell2D.hh.

◆ connector()

InfiniteQuad& concepts::InfiniteQuad2d::connector ( ) const

inlinevirtualinherited

Returns the quadrilateral connector (topology)

Implements concepts::Cell2.

Definition at line 629 of file cell2D.hh.

◆ elemMap() [1/3]

virtual Real3d concepts::Cell::elemMap ( const Real coord_local ) const

virtualinherited

Element map from point local coordinates in 1D.

Reimplemented in concepts::Edge2d, concepts::Edge1d, concepts::Sphere3d, and concepts::SphericalSurface3d.

◆ elemMap() [2/3]

Real3d concepts::InfiniteRect2d::elemMap ( const Real2d & coord_local ) const

inlinevirtual

Element map from point local coordinates in 2D.

Implements concepts::Cell2.

Definition at line 680 of file cell2D.hh.

◆ elemMap() [3/3]

virtual Real3d concepts::Cell2::elemMap ( const Real3d & coord_local ) const

inlinevirtualinherited

Element map from point local coordinates in 3D.

Reference element is 2D, third component is omitted.

Reimplemented from concepts::Cell.

Definition at line 104 of file cell.hh.

◆ hasChildren()

bool concepts::InfiniteRect2d::hasChildren ( ) const

inline

Definition at line 669 of file cell2D.hh.

◆ info()

virtual std::ostream& concepts::InfiniteRect2d::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::InfiniteQuad2d.

◆ jacobian()

virtual MapReal2d concepts::InfiniteRect2d::jacobian	(	const Real	xi,
		const Real	eta
	)		const

virtual

Implements concepts::InfiniteQuad2d.

◆ vertex()

Real3d concepts::InfiniteQuad2d::vertex ( uint i ) const

virtualinherited

Returns the coordinates of the ith vertex.

Implements concepts::Cell2.

Member Data Documentation

◆ chld_

InfiniteRect2d* concepts::InfiniteRect2d::chld_

private

Pointer to the first child.

The children are stored in a linked list.

Definition at line 709 of file cell2D.hh.

◆ cntr_

InfiniteQuad& concepts::InfiniteQuad2d::cntr_

privateinherited

Reference to the quadrilateral connector (topology)

Definition at line 636 of file cell2D.hh.

◆ lnk_

InfiniteRect2d* concepts::InfiniteRect2d::lnk_

private

Pointer to a sibling.

Definition at line 704 of file cell2D.hh.

◆ n_

UnitNd<2> concepts::InfiniteRect2d::n_

private

Direction of the infinite edges (normalised)

Definition at line 701 of file cell2D.hh.

◆ vtx_

Real2d concepts::InfiniteQuad2d::vtx_[2]

privateinherited

Vertices.

Definition at line 634 of file cell2D.hh.

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

geometry/cell2D.hh

concepts::InfiniteRect2d Class ReferenceGeometry

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ InfiniteRect2d()

◆ ~InfiniteRect2d()

Member Function Documentation

◆ center()

◆ chi()

◆ child() [1/2]

◆ child() [2/2]

◆ clone()

◆ connector()

◆ elemMap() [1/3]

◆ elemMap() [2/3]

◆ elemMap() [3/3]

◆ hasChildren()

◆ info()

◆ jacobian()

◆ vertex()

Member Data Documentation

◆ chld_

◆ cntr_

◆ lnk_

◆ n_

◆ vtx_

concepts::InfiniteRect2d Class Reference
Geometry