A 1D cell: edge in 2D. More...

#include <cell1D.hh>

Inheritance diagram for concepts::Edge2d:

Collaboration diagram for concepts::Edge2d:

Public Member Functions
virtual Real3d	center () const
	Returns the center of the cell.
Real2d	chi (Real xi) const
	The element map.
virtual Edge2d *	child (uint i)
	Returns a child.
virtual const Edge2d *	child (uint i) const
	Returns a pointer to the ith child.
virtual Edge2d *	clone () const
	Returns a copy of itself.
virtual Edge2d *	clone (Edge &cntr, MappingEdge2d *map) const
Edge &	connector () const
	Returns the connector (topology)
Z2 &	dir ()
	Access to the direction of the normal vector.
Z2	dir () const
	Returns if the normal vector is right or left pointing.
	Edge2d (Edge &cntr, const MappingEdge2d &map, const Z2 dir=0)
	Constructor.
virtual concepts::Real3d	elemMap (const Real3d &xi) const
	Element map from point local coordinates in 3D.
virtual concepts::Real3d	elemMap (const Real xi) const
	Element map from point local coordinates in 1D.
virtual concepts::Real3d	elemMap (const Real2d &xi) const
	Element map from point local coordinates in 2D.
bool	hasChildren () const
	Returns true if there is a least one child.
Real2d	jacobian (Real x) const
	Returns the Jacobian.
Real	jacobianDeterminant (const Real x) const
	Returns the determinant of the Jacobian.
uchar	level () const
	Returns the level of the cell.
const MappingEdge2d *	map () const
Real2d	n0 (Real x) const
	Returns the normal vector on a point of the edge.
void	swapdir ()
	Swaps the normal direction.
virtual Real3d	vertex (const uint i) const
	Returns the coordinates of the ith vertex.
virtual	~Edge2d ()
Protected Member Functions
	Edge2d (Edge &cntr, MappingEdge2d *map, const Z2 dir, const uint l, const uint i)
	Protected copy constructor.
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
Edge &	cntr_
	Reference to the edge (topology)
Z2	dir_
	Direction of the normal vector.
uint	i_
	Index of the element (ie. left or right child)
uint	l_
	Level of the element.
MappingEdge2d *	map_
	Pointer to the element map.
Private Attributes
Edge2d *	chld_
	Pointer to the first child.
Edge2d *	lnk_
	Pointer to a sibling.

Detailed Description

A 1D cell: edge in 2D.

Author:: Kersten Schmidt, 2006

Definition at line 148 of file cell1D.hh.

Constructor & Destructor Documentation

concepts::Edge2d::Edge2d	(	Edge &	cntr,
		const MappingEdge2d &	map,
		const Z2	dir = `0`
	)

Constructor.

Parameters:

cntr	The edge which should be represented
map	Element map of the edge
dir	direction of the normal vector when looking along direction of the edge (from first vertex to second) dir = 0 : Right normal dir = 1 : Left normal

virtual concepts::Edge2d::~Edge2d ( ) [virtual]

concepts::Edge2d::Edge2d	(	Edge &	cntr,
		MappingEdge2d *	map,
		const Z2	dir,
		const uint	l,
		const uint	i
	)		`[protected]`

Protected copy constructor.

Parameters:

cntr	The edge which should be represented
map	Element map of the edge
dir	direction of the normal vector
l	Level
i	Index (0 or 1), ie. the left or right child

Member Function Documentation

virtual Real3d concepts::EdgeNd::center ( ) const [virtual, inherited]

Returns the center of the cell.

Implements concepts::Cell1.

Real2d concepts::Edge2d::chi ( Real xi ) const

The element map.

Maps a point from the unit intervall [0,1] onto the element.

Returns:: Point in 2D in physical coordinates.

Parameters:

xi	$\in [0,1]$

virtual const Edge2d* concepts::Edge2d::child ( uint i ) const [virtual]

Returns a pointer to the ith child.

Children are not created if they do not already exist, instead 0 is returned.

Implements concepts::EdgeNd.

virtual Edge2d* concepts::Edge2d::child ( uint i ) [virtual]

Returns a child.

If no children exist, two new children are created. The edge is cut in the middle.

Parameters:

i	Index of the child to be returned.

Implements concepts::EdgeNd.

virtual Edge2d* concepts::Edge2d::clone ( ) const [virtual]

Returns a copy of itself.

virtual Edge2d* concepts::Edge2d::clone	(	Edge &	cntr,
		MappingEdge2d *	map
	)		const `[inline, virtual]`

Definition at line 198 of file cell1D.hh.

Here is the call graph for this function:

Edge& concepts::EdgeNd::connector ( ) const [inline, virtual, inherited]

Returns the connector (topology)

Implements concepts::Cell1.

Definition at line 41 of file cell1D.hh.

Z2 concepts::Edge2d::dir ( ) const [inline]

Returns if the normal vector is right or left pointing.

Definition at line 205 of file cell1D.hh.

Z2& concepts::Edge2d::dir ( ) [inline]

Access to the direction of the normal vector.

Definition at line 207 of file cell1D.hh.

virtual concepts::Real3d concepts::Edge2d::elemMap ( const Real coord_local ) const [virtual]

Element map from point local coordinates in 1D.

Reimplemented from concepts::Cell.

virtual concepts::Real3d concepts::Edge2d::elemMap ( const Real2d & coord_local ) const [virtual]

Element map from point local coordinates in 2D.

Reimplemented from concepts::Cell.

virtual concepts::Real3d concepts::Edge2d::elemMap ( const Real3d & coord_local ) const [virtual]

Element map from point local coordinates in 3D.

Reimplemented from concepts::Cell.

bool concepts::Cell::hasChildren ( ) const [inline, inherited]

Returns true if there is a least one child.

Reimplemented in concepts::Quad2d, and concepts::InfiniteRect2d.

Definition at line 48 of file cell.hh.

Here is the call graph for this function:

virtual std::ostream& concepts::Edge2d::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::EdgeNd.

Real2d concepts::Edge2d::jacobian ( Real x ) const

Returns the Jacobian.

Parameters:

x	$\in [0,1]$

Real concepts::Edge2d::jacobianDeterminant ( const Real x ) const [inline, virtual]

Returns the determinant of the Jacobian.

See also:: jacobian

Implements concepts::EdgeNd.

Definition at line 184 of file cell1D.hh.

Here is the call graph for this function:

uchar concepts::Edge2d::level ( ) const [inline]

Returns the level of the cell.

Definition at line 202 of file cell1D.hh.

const MappingEdge2d* concepts::Edge2d::map ( ) const [inline]

Definition at line 193 of file cell1D.hh.

Real2d concepts::Edge2d::n0 ( Real x ) const

Returns the normal vector on a point of the edge.

void concepts::Edge2d::swapdir ( ) [inline]

Swaps the normal direction.

Definition at line 209 of file cell1D.hh.

virtual Real3d concepts::EdgeNd::vertex ( const uint i ) const [virtual, inherited]

Returns the coordinates of the ith vertex.

Implements concepts::Cell1.

Member Data Documentation

Edge2d* concepts::Edge2d::chld_ [private]

Pointer to the first child.

The children are stored in a linked list.

Definition at line 242 of file cell1D.hh.

Edge& concepts::EdgeNd::cntr_ [protected, inherited]

Reference to the edge (topology)

Definition at line 52 of file cell1D.hh.

Z2 concepts::Edge2d::dir_ [protected]

Direction of the normal vector.

Definition at line 224 of file cell1D.hh.

uint concepts::Edge2d::i_ [protected]

Index of the element (ie. left or right child)

Definition at line 221 of file cell1D.hh.

uint concepts::Edge2d::l_ [protected]

Level of the element.

Definition at line 218 of file cell1D.hh.

Edge2d* concepts::Edge2d::lnk_ [private]

Pointer to a sibling.

Definition at line 237 of file cell1D.hh.

MappingEdge2d* concepts::Edge2d::map_ [protected]

Pointer to the element map.

Definition at line 216 of file cell1D.hh.

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

geometry/cell1D.hh

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation