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ShapeTable.h
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1 
2 /*****************************************************************************
3 *
4 * Copyright (c) 2003-2016 by The University of Queensland
5 * http://www.uq.edu.au
6 *
7 * Primary Business: Queensland, Australia
8 * Licensed under the Apache License, version 2.0
9 * http://www.apache.org/licenses/LICENSE-2.0
10 *
11 * Development until 2012 by Earth Systems Science Computational Center (ESSCC)
12 * Development 2012-2013 by School of Earth Sciences
13 * Development from 2014 by Centre for Geoscience Computing (GeoComp)
14 *
15 *****************************************************************************/
16 
17 /* Shape Function info
18 These tables are a much simplified version of content from finley's ShapeFunctions files
19 
20 This file is not to be included in .h files - only .cpp files should have any use for it
21 */
22 
23 #ifndef __DUDLEY_SHAPETABLE_H__
24 #define __DUDLEY_SHAPETABLE_H__
25 
26 #include "Dudley.h"
27 #include "ElementType.h"
28 
29 namespace dudley {
30 
31 // These are constructed from dsdv in ShapeFunction.cpp in finley.
32 // The first one is just there for functions that want a pointer
33 static const double DTDV_1D[2][2] = { {-1., 1}, {-1., 1.} };
34 
35 // The repetition here is a hack to prevent out of bounds access
36 static const double DTDV_2D[3 * 3][2] = {
37  {-1, 1}, {0, -1.}, {0, 1},
38  {-1, 1}, {0, -1.}, {0, 1},
39  {-1, 1}, {0, -1.}, {0, 1}
40 };
41 
42 static const double DTDV_3D[4][3] = {
43  {-1, -1, -1},
44  { 1, 0, 0},
45  { 0, 1, 0},
46  { 0, 0, 1}
47 };
48 
49 // Index the following by ElementTypeID
50 // The number of local dimensions (as opposed to dimension of the embedding
51 // space)
52 static const int localDims[8] = { 0, 1, 2, 3, 0, 1, 2, 0 };
53 static const int Dims[8] = { 0, 1, 2, 3, 1, 2, 3, 0 };
54 
55 // the following lists are only used for face elements defined by
56 // numNodesOnFace>0
57 
58 // if the element is allowed as a face element, numNodesOnFace defines the
59 // number of nodes defining the face
60 static const int numNodesOnFaceMap[8] = { 1, 2, 3, 4, 1, 2, 4, -1 };
61 
62 // defines a permutation of the nodes which rotates the nodes on the face
63 static const int shiftNodesMap[8][4] = { {0}, {1, 0}, {1, 2, 0}, {-1}, {0, 1, 2}, {1, 0, 2}, {1, 2, 0, 3}, {0} };
64 
65 // reverses the order of the nodes on a face. the permutation has keep 0 fixed.
66 // shiftNodes={-1} or reverseNodes={-1} are ignored.
67 static const int reverseNodesMap[8][4] = { {-1}, {-1}, {0, 2, 1}, {-1}, {-1}, {-1}, {0, 2, 1, 3}, {0} };
68 
69 // [0] is reduced quadrature, [1] is full quadrature
70 // in order the positions are POINT, LINE, TRI, TET
71 static const double QuadWeight[4][2] = { {0, 0}, {1., 0.5}, {0.5, 1. / 6}, {1. / 6, 1. / 24} };
72 
73 // number of quadrature points per element
74 static const int QuadNums[4][2] = { {0, 0}, {1, 2}, {1, 3}, {1, 4} };
75 
76 // shape functions at quadrature nodes
77 bool getQuadShape(dim_t sim, bool reduced, const double **shapearr);
78 
79 const char* getElementName(ElementTypeId id);
80 
81 } // namespace dudley
82 
83 #endif // __DUDLEY_SHAPETABLE_H__
84 
static const int QuadNums[4][2]
Definition: ShapeTable.h:74
static const double DTDV_1D[2][2]
Definition: ShapeTable.h:33
static const int numNodesOnFaceMap[8]
Definition: ShapeTable.h:60
static const int Dims[8]
Definition: ShapeTable.h:53
const char * getElementName(ElementTypeId id)
Definition: ShapeTable.cpp:103
static const int shiftNodesMap[8][4]
Definition: ShapeTable.h:63
static const double QuadWeight[4][2]
Definition: ShapeTable.h:71
bool getQuadShape(dim_t dim, bool reduced, const double **shapearr)
Definition: ShapeTable.cpp:27
static const double DTDV_3D[4][3]
Definition: ShapeTable.h:42
static const int localDims[8]
Definition: ShapeTable.h:52
ElementTypeId
Definition: ElementType.h:24
static const double DTDV_2D[3 *3][2]
Definition: ShapeTable.h:36
A suite of factory methods for creating 2D and 3D dudley domains.
Definition: dudley/src/Assemble.h:31
static const int reverseNodesMap[8][4]
Definition: ShapeTable.h:67
index_t dim_t
Definition: DataTypes.h:64