A 3D cell: triangle. More...

#include <cell2D.hh>

Inheritance diagram for concepts::Triangle3d:

Classes
struct	Index
	Subclass of Quad2d representing its index. More...

Public Types
typedef uint	index_type

Public Member Functions
Real3d	center () const
	Returns the center of the cell. More...

Real3d	chi (Real xi, Real eta) const
	The element map. More...

virtual Triangle3d *	child (uint i)
	Returns a child. More...

virtual const Triangle3d *	child (uint i) const
	Returns a child. More...

Triangle3d *	clone (Triangle &cntr, MapTriangle3d *map) const
	Returns a copy of itself. More...

Triangle &	connector () const
	Returns the triangle 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
	Returns true if there is a least one child. More...

const MapTriangle3d *	map () const
	Returns the element map. More...

	Triangle3d (Triangle &cntr, const MapTriangle3d &map)
	Constructor. More...

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

virtual	~Triangle3d ()

Static Public Attributes
static uint	MAX_LEVEL

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

Private Member Functions
	Triangle3d (Triangle &cntr, MapTriangle3d *map, const Index &key)
	Private constructor. More...

Private Attributes
Triangle3d *	chld_
	Pointer to the first child. More...

Triangle &	cntr_
	Reference to the triangle connector (topology) More...

Index	idx_
	Index of this element. More...

Triangle3d *	lnk_
	Pointer to a sibling. More...

MapTriangle3d *	map_
	Pointer to the element map. More...

Friends
std::ostream &	operator<< (std::ostream &os, const Triangle3d::Index &i)

Detailed Description

A 3D cell: triangle.

If a triangle is subdivided, four new children are created.

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

Definition at line 719 of file cell2D.hh.

Member Typedef Documentation

◆ index_type

typedef uint concepts::Triangle3d::index_type

Definition at line 727 of file cell2D.hh.

Constructor & Destructor Documentation

◆ Triangle3d() [1/2]

concepts::Triangle3d::Triangle3d	(	Triangle &	cntr,
		const MapTriangle3d &	map
	)

Constructor.

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

Parameters

cntr	Topological information of the triangle
map	Element map of this triangle

◆ ~Triangle3d()

virtual concepts::Triangle3d::~Triangle3d ( )

virtual

◆ Triangle3d() [2/2]

concepts::Triangle3d::Triangle3d	(	Triangle &	cntr,
		MapTriangle3d *	map,
		const Index &	key
	)

private

Private constructor.

Member Function Documentation

◆ center()

Real3d concepts::Triangle3d::center ( ) const

inlinevirtual

Returns the center of the cell.

Implements concepts::Cell2.

Definition at line 796 of file cell2D.hh.

◆ chi()

Real3d concepts::Triangle3d::chi	(	Real	xi,
		Real	eta
	)		const

The element map.

Maps a corner from the unit square [0,1]² onto the element. The three vertices are (0, 0), (1, 0) and (1, 1).

Returns: Point in 3D in physical coordinates.

Parameters

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

◆ child() [1/2]

virtual Triangle3d* concepts::Triangle3d::child ( uint i )

virtual

Returns a child.

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

Parameters

i	Index of the child to be returned.

Implements concepts::Cell2.

◆ child() [2/2]

virtual const Triangle3d* concepts::Triangle3d::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()

Triangle3d* concepts::Triangle3d::clone	(	Triangle &	cntr,
		MapTriangle3d *	map
	)		const

inline

Returns a copy of itself.

Definition at line 802 of file cell2D.hh.

◆ connector()

Triangle& concepts::Triangle3d::connector ( ) const

inlinevirtual

Returns the triangle connector (topology)

Implements concepts::Cell2.

Definition at line 779 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::Triangle3d::elemMap ( const Real2d & coord_local ) const

inlinevirtual

Element map from point local coordinates in 2D.

Implements concepts::Cell2.

Definition at line 790 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::Cell::hasChildren ( ) const

inlineinherited

Returns true if there is a least one child.

Definition at line 50 of file cell.hh.

◆ info()

virtual std::ostream& concepts::Triangle3d::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Implements concepts::Cell.

◆ map()

const MapTriangle3d* concepts::Triangle3d::map ( ) const

inline

Returns the element map.

Definition at line 799 of file cell2D.hh.

◆ vertex()

Real3d concepts::Triangle3d::vertex ( uint i ) const

virtual

Returns the coordinates of the ith vertex.

Implements concepts::Cell2.

Friends And Related Function Documentation

◆ operator<<

std::ostream& operator<<	(	std::ostream &	os,
		const Triangle3d::Index &	i
	)

friend

Member Data Documentation

◆ chld_

Triangle3d* concepts::Triangle3d::chld_

private

Pointer to the first child.

The children are stored in a linked list.

Definition at line 819 of file cell2D.hh.

◆ cntr_

Triangle& concepts::Triangle3d::cntr_

private

Reference to the triangle connector (topology)

Definition at line 811 of file cell2D.hh.

◆ idx_

Index concepts::Triangle3d::idx_

private

Index of this element.

Definition at line 808 of file cell2D.hh.

◆ lnk_

Triangle3d* concepts::Triangle3d::lnk_

private

Pointer to a sibling.

Definition at line 814 of file cell2D.hh.

◆ map_

MapTriangle3d* concepts::Triangle3d::map_

private

Pointer to the element map.

Definition at line 822 of file cell2D.hh.

◆ MAX_LEVEL

uint concepts::Triangle3d::MAX_LEVEL

static

Definition at line 731 of file cell2D.hh.

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

geometry/cell2D.hh

concepts::Triangle3d Class ReferenceGeometry

Classes

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Private Member Functions

Private Attributes

Friends

Detailed Description

Member Typedef Documentation

◆ index_type

Constructor & Destructor Documentation

◆ Triangle3d() [1/2]

◆ ~Triangle3d()

◆ Triangle3d() [2/2]

Member Function Documentation

◆ center()

◆ chi()

◆ child() [1/2]

◆ child() [2/2]

◆ clone()

◆ connector()

◆ elemMap() [1/3]

◆ elemMap() [2/3]

◆ elemMap() [3/3]

◆ hasChildren()

◆ info()

◆ map()

◆ vertex()

Friends And Related Function Documentation

◆ operator<<

Member Data Documentation

◆ chld_

◆ cntr_

◆ idx_

◆ lnk_

◆ map_

◆ MAX_LEVEL

concepts::Triangle3d Class Reference
Geometry