GemaCoreLib
The GeMA Core library
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gmShapeH.h
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1/************************************************************************
2**
3** Copyright (C) 2014 by Carlos Augusto Teixera Mendes
4** All rights reserved.
5**
6** This file is part of the "GeMA" software. It's use should respect
7** the terms in the license agreement that can be found together
8** with this source code.
9** It is provided AS IS, with NO WARRANTY OF ANY KIND,
10** INCLUDING THE WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR
11** A PARTICULAR PURPOSE.
12**
13************************************************************************/
14
24#ifndef _GEMA_SHAPEH_H_
25#define _GEMA_SHAPEH_H_
26
27#include "gmShape.h"
28
31{
32public:
33
35 GmHShape(int P, int Q) : _POrder(P), _QOrder(Q) { assert(P > 0 && Q > 0); }
36
38 int POrder() const { return _POrder; }
39
41 int QOrder() const { return _QOrder; }
42
43 // See comments on the base class
44 virtual int numFunctions() const { return numPFunctions() + numQFunctions(); }
45 virtual int numPFunctions() const { return _nPFunctions; }
46 virtual int numQFunctions() const { return _nQFunctions; }
47
48 virtual int numPVertexFunctions() const { return _nPVertexFunctions; }
49 virtual int numPEdgeFunctions() const { return _nPEdgeFunctions; }
50 virtual int numPFaceFunctions() const { return _nPFaceFunctions; }
51 virtual int numPBubbleFunctions() const { return _nPBubbleFunctions; }
52
53 virtual int numQEdgeFunctions() const { return _nQEdgeFunctions; }
54 virtual int numQFaceFunctions() const { return _nQFaceFunctions; }
55 virtual int numQBubbleFunctions() const { return _nQBubbleFunctions; }
56
57 virtual int numPEdgeFunctionsEdge() const { return _nPEdgeFunctionsEdge;}; //<! Number of Pressure Edge Functions associated for edge
58 virtual int numPFaceFunctionsFace() const { return _nPFaceFunctionsFace;}; //<! Number of Pressure Face Functions associated for face.
59 virtual int numQEdgeFunctionsEdge() const { return _nQEdgeFunctionsEdge;}; //<! Number of Flux Edge Functions associated for edge
60 virtual int numQFaceFunctionsFace() const { return _nQFaceFunctionsFace;}; //<! Number of Flux Face Functions associated for face.
61
62 virtual void shapeValuesVec(const GmVector& ncoord, GmMatrix &N, bool transposed = false) const = 0;
63 virtual void shapeValuesVecBorder(const int border, const GmVector& ncoord, GmMatrix& N, bool transposed = false) const = 0;
64
65 virtual void shapePartialsVec(const GmVector& ncoord, GmMatrix& N) const = 0;
66
67 // See comments on the base class
68 virtual double scaledJacobianDet(const GmMatrix& J) const { return arma::det(J); }
69
70 virtual void jacobianAndPartials(const GmVector& ncoord, const GmMatrix& X, GmMatrix& J, GmMatrix& P, bool transposed = false) const;
71
72 void fillNaturalCoordinates(GmMatrix& coord, bool transposed = false) const;
73 virtual void naturalToCartesian(const GmVector& ncoord, const GmMatrix& X, GmVector& coord) const;
74
75protected:
76 // See comments on the base class. At the moment we don't have a working version for H elements
77 // What do we need to change from standard quad / hex methods?
78 virtual bool gradientBasedCartesianToNatural(const GmVector& coord, const GmMatrix& X, double tol,
79 int maxIter, double natTol, GmVector& ncoord, bool* inside) const
80 {
81 Q_UNUSED(coord); Q_UNUSED(X); Q_UNUSED(tol); Q_UNUSED(maxIter); Q_UNUSED(natTol); Q_UNUSED(ncoord); Q_UNUSED(inside);
82 return false;
83 }
84
85 int _POrder;
86 int _QOrder;
87
89 int _nPEdgeFunctions;
90 int _nPFaceFunctions;
91 int _nPBubbleFunctions;
92 int _nPEdgeFunctionsEdge;
93 int _nPFaceFunctionsFace;
94 int _nPFunctions;
95
96 int _nQEdgeFunctions;
97 int _nQFaceFunctions;
98 int _nQBubbleFunctions;
99 int _nQEdgeFunctionsEdge;
100 int _nQFaceFunctionsFace;
101 int _nQFunctions;
102};
103
104
105#endif
106
Shape function handling base classe for hierarchical elements.
Definition gmShapeH.h:31
int _QOrder
Elements P order.
Definition gmShapeH.h:86
int POrder() const
Returns the element P order.
Definition gmShapeH.h:38
int _nPVertexFunctions
Elements Q order.
Definition gmShapeH.h:88
virtual double scaledJacobianDet(const GmMatrix &J) const
Returns the Jacobian determinant multiplied by the scaling factor needed for transforming the differe...
Definition gmShapeH.h:68
GmHShape(int P, int Q)
Constructor. Receives as parameters the elements P & Q orders.
Definition gmShapeH.h:35
virtual int numFunctions() const
Returns the number of shape functions of this element type (equal to the number of nodes)
Definition gmShapeH.h:44
int QOrder() const
Returns the element Q order.
Definition gmShapeH.h:41
Shape function handling base classe.
Definition gmShape.h:38
void fillNaturalCoordinates(GmMatrix &coord, bool transposed=false) const
Fills the coord matrix with the set of natural coordinates for the shape nodes.
Definition gmShape.cpp:61
virtual void naturalToCartesian(const GmVector &ncoord, const GmMatrix &X, GmVector &coord) const
Given a set of natural coordinates 'ncoord' and a matrix with node coordinates 'X',...
Definition gmShape.cpp:106
virtual void jacobianAndPartials(const GmVector &ncoord, const GmMatrix &X, GmMatrix &J, GmMatrix &P, bool transposed=false) const =0
This function does the same calculations as the jacobian() call, but also filling the extra parameter...
#define GMC_API_EXPORT
Macro for controlling if the class is being exported (GEMA_CORE_LIB defined) or imported (GEMA_CORE_L...
Definition gmCoreConfig.h:35
arma::mat GmMatrix
The basic type for a GeMA matrix object. Currently based on an Armadillo matrix.
Definition gmMatrix.h:38
Declaration of the GmShape base class.
arma::vec GmVector
The basic type for a GeMA vector object. Currently based on an Armadillo vector.
Definition gmVector.h:34