ElementShapes.hpp File Reference

Contains the basic element shapes, to be used by Geometric and Finite Elements. More...

#include <utility>
#include <lifev/core/LifeV.hpp>

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Data Structures
class	nullShape
class	GeoDim< geoDimensions >
	dummy class for selecting correct function specializations based on geometry dimensions (1,2,3). More...
class	Point
class	Line
class	Triangle
class	Quad
class	Tetra
class	Hexa
class	GeoPoint
	A Geometric Shape. More...
class	LinearLine
	A Geometric Shape. More...
class	QuadraticLine
	A Geometric Shape. More...
class	LinearTriangle
	A Geometric Shape. More...
class	QuadraticTriangle
	A Geometric Shape. More...
class	LinearQuad
	A Geometric Shape. More...
class	QuadraticQuad
	A Geometric Shape. More...
class	LinearTetra
	A Geometric Shape. More...
class	LinearTetraBubble
	A Geometric Shape. More...
class	QuadraticTetra
	A Geometric Shape. More...
class	LinearHexa
	A Geometric Shape. More...
class	QuadraticHexa
	A Geometric Shape. More...

Namespaces
	LifeV
	Default Physical Solver.

Enumerations
enum	ReferenceShapes {   NONE, POINT, LINE, TRIANGLE,   QUAD, HEXA, PRISM, TETRA }
enum	ReferenceGeometry { VERTEX = 0, EDGE = 1, FACE = 2, VOLUME = 3 }

Functions
template<typename GeoShapeType >
ID	reversePoint (ID const &pointId)
	A utility to invert point numbering on a GeoShape. More...
UInt	shapeDimension (const ReferenceShapes &shape)
template<>
ID	reversePoint< LinearLine > (ID const &pointId)
	Inverts a line. More...
template<>
ID	reversePoint< QuadraticLine > (ID const &pointId)
template<>
ID	reversePoint< LinearTriangle > (ID const &pointId)
template<>
ID	reversePoint< QuadraticTriangle > (ID const &pointId)
template<>
ID	reversePoint< LinearQuad > (ID const &pointId)
	Specialization. More...
template<>
ID	reversePoint< QuadraticQuad > (ID const &pointId)
	Specialization. More...
template<>
ID	reversePoint< LinearTetra > (ID const &pointId)
	Specialization. More...
template<>
ID	reversePoint< LinearTetraBubble > (ID const &pointId)
template<>
ID	reversePoint< QuadraticTetra > (ID const &pointId)
template<>
ID	reversePoint< LinearHexa > (ID const &pointId)
template<>
ID	reversePoint< QuadraticHexa > (ID const &pointId)

Detailed Description

Contains the basic element shapes, to be used by Geometric and Finite Elements.

Author

Luca Formaggia

Contributor:

Zhen Wang zwang.nosp@m.26@e.nosp@m.mory..nosp@m.edu

Contributor:

Tiziano Passerini tizia.nosp@m.no@m.nosp@m.athcs.nosp@m..emo.nosp@m.ry.ed.nosp@m.u

These classes provide the most basic definitions for the geometric elements. The variables names are self-explanatory.

The Basis Geometric Shapes (GeoShape) are derived from a set of classes called Basis Reference Shapes (BasRefSha), which contains the very basic information about the reference element geometries supported by the library (reference element geometry=geometry of the finite element in the reference space.)

A Basis Geometric Shape contains (when relevant) the following methods

1. static ID edgeToPoint(ID const jEdge, ID const iPoint); which returns the local ID of the i-th point of the j-th edge of the GeoShape

2. static ID faceToPoint(ID const jFace, ID const iPoint); which returns the local ID of the i-th point of the j-th face of the GeoShape

3. static pair<ID,bool> faceToEdge(ID const jFace, ID const iEdge); which returns the local numbering of the i-th edge on the j-th face. It returns also if the orientation of the edge on the face is consistent with that of the same edge on the element

Note

The methods edge to point-ID (EtoP) and Face to point-ID (FtoP) return the local id number of points on faces and edges (when relevant)

We follow the convention of indicating THE VERTICES FIRST in the list of dofs

Definition in file ElementShapes.hpp.