#include <cell2D.hh>

Inheritance diagram for concepts::QuadNd:

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

Public Types
typedef uint	index_type

Public Member Functions
	QuadNd (Quad &cntr)

	QuadNd (Quad &cntr, const Index &idx)

virtual uint	dim () const =0

Quad &	connector () const
	Returns the quadrilateral connector (topology)

virtual Real	gramDeterminantRoot (const Real xi, const Real eta) const =0

virtual Real	lineElement (const Real xi, const uint edge) const =0

Level< 2 >	level () const

virtual Cell2 *	child (uint i)=0

virtual const Cell2 *	child (uint i) const =0

virtual Real3d	vertex (uint i) const =0
	Returns the coordinates of the ith vertex.

virtual Real3d	center () const =0
	Returns the center of the cell.

virtual Real3d	elemMap (const Real2d &coord_local) const =0
	Element map from point local coordinates in 2D.

virtual Real3d	elemMap (const Real3d &coord_local) const

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

bool	hasChildren () const
	Returns true if there is a least one child.

Static Public Attributes
static uint	MAX_LEVEL

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const =0
	Returns information in an output stream.

Protected Attributes
Quad &	cntr_
	Reference to the quadrilateral connector (topology)

Index	idx_
	Index of this element.

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

Detailed Description

Base class for a quadrilateral in any dimension. Currently only used as base class for Quad3d

Definition at line 187 of file cell2D.hh.

Member Typedef Documentation

◆ index_type

typedef uint concepts::QuadNd::index_type

Definition at line 194 of file cell2D.hh.

Constructor & Destructor Documentation

◆ QuadNd() [1/2]

concepts::QuadNd::QuadNd ( Quad & cntr )

inline

Definition at line 223 of file cell2D.hh.

◆ QuadNd() [2/2]

concepts::QuadNd::QuadNd	(	Quad &	cntr,
		const Index &	idx
	)

inline

Definition at line 225 of file cell2D.hh.

Member Function Documentation

◆ center()

virtual Real3d concepts::Cell2::center ( ) const

pure virtualinherited

Returns the center of the cell.

Implemented in concepts::Triangle2d, concepts::Quad2d, concepts::InfiniteRect2d, concepts::Triangle3d, and concepts::Quad3d.

◆ child() [1/2]

virtual const Cell2 * concepts::Cell2::child ( uint i ) const

pure virtualinherited

Returns a pointer to the ith child. Children are not created if they do not already exist, instead 0 is returned.

Implements concepts::Cell.

Implemented in concepts::Triangle2d, concepts::Quad2d, concepts::InfiniteRect2d, concepts::Triangle3d, and concepts::Quad3d.

◆ child() [2/2]

virtual Cell2 * concepts::Cell2::child ( uint i )

pure virtualinherited

Returns a pointer to the ith child. Children are created if they do not already exist.

Implements concepts::Cell.

Implemented in concepts::Triangle2d, concepts::Quad2d, concepts::InfiniteRect2d, concepts::Triangle3d, and concepts::Quad3d.

◆ connector()

Quad & concepts::QuadNd::connector ( ) const

inlinevirtual

Returns the quadrilateral connector (topology)

Implements concepts::Cell2.

Definition at line 234 of file cell2D.hh.

◆ dim()

virtual uint concepts::QuadNd::dim ( ) const

pure virtual

Returns the dimension of the space

Implemented in concepts::Quad2d, and concepts::Quad3d.

◆ 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::SphericalSurface3d, concepts::Sphere3d, concepts::Edge1d, and concepts::Edge2d.

◆ elemMap() [2/3]

virtual Real3d concepts::Cell2::elemMap ( const Real2d & coord_local ) const

pure virtualinherited

Element map from point local coordinates in 2D.

Reimplemented from concepts::Cell.

Implemented in concepts::Triangle2d, concepts::Quad2d, concepts::InfiniteRect2d, concepts::Triangle3d, and concepts::Quad3d.

◆ 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.

◆ gramDeterminantRoot()

virtual Real concepts::QuadNd::gramDeterminantRoot	(	const Real	xi,
		const Real	eta
	)		const

pure virtual

Returns the square root of the Gram determinant.

The Gram determinant is given by

$\det(A^\top A) \,,$

where A is the Jacobian of the mapping. Note that for a Quad2d this is the same as the determinant of the Jacobian.

Implemented in concepts::Quad2d, and concepts::Quad3d.

◆ 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::Cell::info ( std::ostream & os ) const

protectedpure virtualinherited

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Implemented in concepts::EdgeNd, concepts::Edge1d, concepts::Edge2d, concepts::Triangle2d, concepts::Quad2d, concepts::InfiniteQuad2d, concepts::InfiniteRect2d, concepts::Triangle3d, concepts::Quad3d, concepts::Tetrahedron3d, concepts::Hexahedron3d, concepts::Parallelepiped3d, concepts::SphericalSurface3d, and concepts::Sphere3d.

◆ level()

Level< 2 > concepts::QuadNd::level ( ) const

inline

Returns the level of the cell. The level describes the refinements in both directions with respect to the parent cell in the initial mesh. This level information is taken into account when evaluating the element map or the Jacobian.

Definition at line 257 of file cell2D.hh.

◆ lineElement()

virtual Real concepts::QuadNd::lineElement	(	const Real	xi,
		const uint	edge
	)		const

pure virtual

Implemented in concepts::Quad2d.

◆ vertex()

virtual Real3d concepts::Cell2::vertex ( uint i ) const

pure virtualinherited

Returns the coordinates of the ith vertex.

Implemented in concepts::Triangle2d, concepts::Quad2d, concepts::InfiniteQuad2d, concepts::Triangle3d, and concepts::Quad3d.

Member Data Documentation

◆ cntr_

Quad& concepts::QuadNd::cntr_

protected

Reference to the quadrilateral connector (topology)

Definition at line 261 of file cell2D.hh.

◆ idx_

Index concepts::QuadNd::idx_

protected

Index of this element.

Definition at line 263 of file cell2D.hh.

◆ MAX_LEVEL

uint concepts::QuadNd::MAX_LEVEL

static

Definition at line 198 of file cell2D.hh.

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

geometry/cell2D.hh

Class documentation of Concepts

Classes

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Friends

Detailed Description

Member Typedef Documentation

◆ index_type

Constructor & Destructor Documentation

◆ QuadNd() [1/2]

◆ QuadNd() [2/2]

Member Function Documentation

◆ center()

◆ child() [1/2]

◆ child() [2/2]

◆ connector()

◆ dim()

◆ elemMap() [1/3]

◆ elemMap() [2/3]

◆ elemMap() [3/3]

◆ gramDeterminantRoot()

◆ hasChildren()

◆ info()

◆ level()

◆ lineElement()

◆ vertex()

Member Data Documentation

◆ cntr_

◆ idx_

◆ MAX_LEVEL