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GemaCoreLib
The GeMA Core library
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GemaCoreLib
The GeMA Core library
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The Quad3D4 implementation. More...
#include <gmQuadCellGeometryInfo.h>
Public Member Functions | |
| virtual GmShape * | shapeInstance (int P, int Q) const |
| Shape function factory. Should return a NEW instance of the shape function object for this type. Should return NULL if the type has no associated shape function. P and Q are needed only when working with hierarchical element types and will have a value of 0 for "normal" types. | |
| virtual bool | isValid (const GmMatrix &X, double tol) const |
| Virtual method that should be implemented if this geometry info supports the GM_CELL_GEOMETRY_VALID capability. It should implement geometry checks, like orientation, convexity or self intersection checks to check a cell validity. If the capability is not implemented, this function should simply return true. The X matrix holds the cell node coordinates organized by column. The tol is the relative tolerance used for planar/colinear tests. | |
| virtual bool | contains (const GmMatrix &X, const GmVector &coord) const |
| Virtual method that should be implemented if this geometry info supports the GM_CELL_GEOMETRY_CONTAINS capability. It should returns true if the cell contains the point specified by the given cartesian coordinates 'coord'. If the capability is not implemented, this function should simply return false. The X matrix holds the cell node coordinates organized by column. | |
 Public Member Functions inherited from GmQuad4CellGeometryInfo | |
| virtual double | dimension (const GmMatrix &X) const |
| Returns the Quad4 area. | |
| virtual void | centroidCartesian (const GmMatrix &X, GmVector &coord) const |
| Returns the Quad4 centroid by decomposing it into two triangles and weighting each coordinate by the triangle area. | |
| Public Member Functions inherited from GmCellGeometryInfoSurfaceElement< GmQuadIntegrationRuleSet, GmLinearQuadIntegrationRuleSetDefaults, GmQuadEdgeIntegrationRuleSet, GmLinearQuadEdgeIntegrationRuleSetDefaults > | |
| GmCellGeometryInfoSurfaceElement (GmCellGeometryMetadata &&metadata) | |
| Constructor receiving as parameter a metadata object that will be MOVED to the new object. | |
| virtual GmIntegrationRule * | integrationRule (GmIntegrationRuleType irType, int rule1, int rule2, int rule3, int P, int Q) const |
| A factory function that returns a new integration rule object suited for this kind of element. More... | |
| virtual GmBorderIntegrationRule * | edgeIntegrationRule (GmIntegrationRuleType irType, int rule1, int P, int Q) const |
| A factory function that returns a new border integration rule object suited for this kind of element. Edge rules are used to integrate functions over an element edge. This function is undefined for line elements and should return NULL in those cases. More... | |
| virtual GmBorderIntegrationRule * | faceIntegrationRule (int faceType, GmIntegrationRuleType irType, int rule1, int rule2, int P, int Q) const |
| A factory function that returns a new border integration rule object suited for this kind of element. Face rules are used to integrate functions over an element face. This function is undefined for line or 2D elements and should return NULL in those cases. More... | |
| Public Member Functions inherited from GmCellGeometryInfo | |
| GmCellGeometryInfo (const GmCellGeometryInfo &other) | |
| Standard copy constructor receiving the type metadata. | |
| GmCellGeometryInfo (GmCellGeometryMetadata &&metadata) | |
| Standard move constructor receiving the type metadata. | |
| virtual double | quality (const GmMatrix &J, double tol) const |
| Virtual method that should be implemented if this geometry info supports the GM_CELL_GEOMETRY_QUALITY capability. It should return a normalized quality measure of the cell geometry, from 0 to 1, where 0.0 means very bad and 1.0 very good. If the capability is not implemented, this function should simply return 0.0. The J matrix is the Jacobian. | |
| const GmIntegrationRule * | cellIntegrationRule () const |
| Returns the default integration rule for the current geometry type. | |
| double | dimensionByIntegration (const GmMatrix &X, const GmIntegrationRule *ir=NULL) const |
| Given a cell geometry defined by matrix X (with node coordinates organized by column) performs a numerical integration using the given integration rule to calculate either the cell length, area or volume, depending on the cell type. If ir is NULL, the default integration rule for the type is used. More... | |
| void | centroidByIntegration (const GmMatrix &X, GmVector &coord, const GmIntegrationRule *ir=NULL) const |
| Given a cell geometry defined by matrix X (with node coordinates organized by column) performs a numerical integration using the given integration rule to calculate the cell centroid, filling coord. If ir is NULL, the default integration rule for the type is used. | |
| Public Member Functions inherited from GmCellGeometryMetadata | |
| GmCellGeometryMetadata (const GmCellGeometryMetadata &other)=default | |
| Copy constructor. | |
| GmCellGeometryMetadata (GmCellGeometryMetadata &&other)=default | |
| Move constructor. | |
Static Public Member Functions | |
| static const GmQuad3D4CellGeometryInfo * | instance () |
| Instance function for the Quad3D4 single geometry object. | |
| Static Public Member Functions inherited from GmQuad4CellGeometryInfo | |
| static const GmQuad4CellGeometryInfo * | instance () |
| Instance function for the Quad4 single geometry object. | |
Private Member Functions | |
| GmQuad3D4CellGeometryInfo (const GmQuad4CellGeometryInfo &quad4) | |
| Private constructor. Only a single Quad3D4 geometry info object is ever necessary, created by GmQuadCellGeometryInfoInit() | |
Additional Inherited Members | |
| Public Attributes inherited from GmCellGeometryMetadata | |
| GmCellType | _type |
| The cell type. | |
| const char * | _name |
| The cell type name. | |
| GmCellFamilyType | _family |
| The family that this cell type belongs to. | |
| bool | _interface |
| Is this cell an interface element? | |
| bool | _hierarchical |
| Is this cell an hierarchical element (needing P & Q order parameters?) | |
| int | _order |
| The cell order (1: linear, 2: quadratic, 3: cubic, ...) | |
| GmCellType | _eqLinearType |
| The equivalent linear element. | |
| int | _nnodes |
| Number of cell nodes. | |
| int | _nvertices |
| Number of cell vertices. Excludes "quadratic" nodes and extra dof nodes. See comments for GmCellGeometry::numVertices(). | |
| int | _nextraDofNodes |
| Number of extra dof nodes. Usually 0. See comments for GmCellGeometry::numVertices(). | |
| int | _ncoord |
| The number of cartesian coordinates for nodes of this cell type. | |
| int | _nedges |
| Number of cell edges. | |
| int | _nfaces |
| Number of cell faces. | |
| int | _nfaceTypes |
| Number of face types for a 3D element. 1 For surface elements. | |
| bool | _capabilities [GM_CELL_GEOMETRY_CAPABILITY_COUNT] |
| QVector< EdgeNodeData > | _edgeNodeInfo |
| Node information for each cell's edge. Size equal to "nedges". | |
| QVector< QVector< int > > | _faceEdgeInfo |
| Edge information for each cell's face, ordered according to the cell's face description. Empty for 1D elements. | |
| QVector< QVector< int > > | _edgeFaceInfo |
| Face information for each cell's edge. | |
| QVector< FaceNodeData > | _faceNodeInfo |
| Node information for each cell's face. Size equal to "nfaces". Empty for 1D elements. | |
| QVector< QVector< int > > | _nodeIncidenceInfo |
| Node incidence information for each cell's node. Size equal to "nnodes". | |
| QVector< int > | _volumeNodeInfo |
| Mid volume node list. | |
| Protected Member Functions inherited from GmQuad4CellGeometryInfo | |
| GmQuad4CellGeometryInfo (GmCellGeometryMetadata &&metadata) | |
| Protected constructor. Only a single Quad4 geometry info object is ever necessary, created by GmQuadCellGeometryInfoInit() | |
The Quad3D4 implementation.
1.8.15