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NodalTetElecData.h
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1 
2 namespace Nektar
3 {
4  namespace LibUtilities
5  {
6  static const unsigned int perm4_3d[4][4] = {{0,1,2,3},{3,0,1,2},{2,3,0,1},{1,2,3,0}}; // Works for abbb or aaab
7  static const unsigned int perm6_3d[6][4] = {{0,1,2,3},{0,2,1,3},{0,2,3,1},{2,0,1,3},{2,0,3,1},{2,3,0,1}}; // Works for aabb
8 
9  static const unsigned int perm12A_3d[12][4] = {{0,1,2,3},{0,1,3,2},{0,2,1,3},{0,2,3,1},{0,3,1,2},{0,3,2,1},
10  {2,0,1,3},{2,0,3,1},{2,3,0,1},{3,0,1,2},{3,0,2,1},{3,2,0,1}}; // Works for aabc
11  static const unsigned int perm12B_3d[12][4] = {{0,1,2,3},{0,2,1,3},{0,2,3,1},{1,0,2,3},{1,2,0,3},{1,2,3,0},
12  {2,0,1,3},{2,0,3,1},{2,1,0,3},{2,1,3,0},{2,3,0,1},{2,3,1,0}}; // Works for abcc
13  static const unsigned int perm12C_3d[12][4] = {{0,1,2,3},{0,1,3,2},{0,3,1,2},{1,0,2,3},{1,0,3,2},{1,2,0,3},
14  {1,2,3,0},{1,3,0,2},{1,3,2,0},{3,0,1,2},{3,1,0,2},{3,1,2,0}}; // Works for abbc
15 
16  static const unsigned int perm24_3d[24][4] = {
17  {0,1,2,3},{0,1,3,2},{0,2,1,3},{0,2,3,1},{0,3,1,2},{0,3,2,1},
18  {1,0,2,3},{1,0,3,2},{1,2,0,3},{1,2,3,0},{1,3,0,2},{1,3,2,0},
19  {2,0,1,3},{2,0,3,1},{2,1,0,3},{2,1,3,0},{2,3,0,1},{2,3,1,0},
20  {3,0,1,2},{3,0,2,1},{3,1,0,2},{3,1,2,0},{3,2,0,1},{3,2,1,0}
21  }; // Works for abcd
22 
23  const unsigned int NodalTetElecAvailable = 10;
24  static const unsigned int NodalTetElecNPTS[NodalTetElecAvailable] = {1,2,3,5,6,9,11,15,18,23};
25  static const NekDouble NodalTetElecData[][9] = {
26  // %%% n_1 n_4 n_6 n_12 n_24 l_1 l_2 l_3 l_4
27  // 1 1 %%% Order / Number of Points
28  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
29  // 2 2 %%% Order / Number of Points
30  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
31  {0, 0, 1, 0, 0, 0.5000000000, 0.5000000000, 0.0000000000, 0.0000000000},
32  // 3 3 %%% Order / Number of Points
33  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
34  {0, 1, 0, 0, 0, 0.3333333333, 0.3333333333, 0.3333333333, 0.0000000000},
35  {0, 0, 0, 2, 0, 0.7236067977, 0.2763932023, 0.0000000000, 0.0000000000},
36  // 4 5 %%% Order / Number of Points
37  {1, 0, 0, 0, 0, 0.2500000000, 0.2500000000, 0.2500000000, 0.2500000000},
38  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
39  {0, 0, 1, 0, 0, 0.5000000000, 0.5000000000, 0.0000000000, 0.0000000000},
40  {0, 0, 0, 2, 0, 0.8273268354, 0.1726731646, 0.0000000000, 0.0000000000},
41  {0, 0, 0, 1, 0, 0.2371200168, 0.2371200168, 0.5257599664, 0.0000000000},
42  // 5 6 %%% Order / Number of Points
43  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
44  {0, 1, 0, 0, 0, 0.1834903473, 0.1834903473, 0.1834903473, 0.4495289581},
45  {0, 0, 0, 2, 0, 0.8825276620, 0.1174723380, 0.0000000000, 0.0000000000},
46  {0, 0, 0, 2, 0, 0.6426157582, 0.3573842418, 0.0000000000, 0.0000000000},
47  {0, 0, 0, 1, 0, 0.1575181512, 0.1575181512, 0.6849636976, 0.0000000000},
48  {0, 0, 0, 1, 0, 0.4105151510, 0.4105151510, 0.1789696980, 0.0000000000},
49  // 6 9 %%% Order / Number of Points
50  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
51  {0, 1, 0, 0, 0, 0.3333333333, 0.3333333333, 0.3333333333, 0.0000000000},
52  {0, 1, 0, 0, 0, 0.1402705801, 0.1402705801, 0.1402705801, 0.5791882597},
53  {0, 0, 1, 0, 0, 0.5000000000, 0.5000000000, 0.0000000000, 0.0000000000},
54  {0, 0, 1, 0, 0, 0.3542052583, 0.3542052583, 0.1457947417, 0.1457947417},
55  {0, 0, 0, 2, 0, 0.9151119481, 0.0848880519, 0.0000000000, 0.0000000000},
56  {0, 0, 0, 2, 0, 0.7344243967, 0.2655756033, 0.0000000000, 0.0000000000},
57  {0, 0, 0, 1, 0, 0.1061169285, 0.1061169285, 0.7877661430, 0.0000000000},
58  {0, 0, 0, 0, 1, 0.3097982151, 0.5569099204, 0.1332918645, 0.0000000000},
59  // 7 11 %%% Order / Number of Points
60  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
61  {0, 1, 0, 0, 0, 0.1144606542, 0.1144606542, 0.1144606542, 0.6566180374},
62  {0, 1, 0, 0, 0, 0.2917002822, 0.2917002822, 0.2917002822, 0.1248991534},
63  {0, 0, 0, 2, 0, 0.9358700743, 0.0641299257, 0.0000000000, 0.0000000000},
64  {0, 0, 0, 2, 0, 0.7958500907, 0.2041499093, 0.0000000000, 0.0000000000},
65  {0, 0, 0, 2, 0, 0.6046496090, 0.3953503910, 0.0000000000, 0.0000000000},
66  {0, 0, 0, 1, 0, 0.0660520784, 0.0660520784, 0.8678958432, 0.0000000000},
67  {0, 0, 0, 1, 0, 0.4477725053, 0.4477725053, 0.1044549894, 0.0000000000},
68  {0, 0, 0, 1, 0, 0.2604038024, 0.2604038024, 0.4791923952, 0.0000000000},
69  {0, 0, 0, 1, 0, 0.1208429970, 0.1208429970, 0.4770203357, 0.2812936703},
70  {0, 0, 0, 0, 1, 0.2325524777, 0.6759625951, 0.0914849272, 0.0000000000},
71  // 8 15 %%% Order / Number of Points
72  {1, 0, 0, 0, 0, 0.2500000000, 0.2500000000, 0.2500000000, 0.2500000000},
73  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
74  {0, 1, 0, 0, 0, 0.0991203900, 0.0991203900, 0.0991203900, 0.7026388300},
75  {0, 0, 1, 0, 0, 0.5000000000, 0.5000000000, 0.0000000000, 0.0000000000},
76  {0, 0, 1, 0, 0, 0.3920531037, 0.3920531037, 0.1079468963, 0.1079468963},
77  {0, 0, 0, 2, 0, 0.9498789977, 0.0501210023, 0.0000000000, 0.0000000000},
78  {0, 0, 0, 2, 0, 0.8385931398, 0.1614068602, 0.0000000000, 0.0000000000},
79  {0, 0, 0, 2, 0, 0.6815587319, 0.3184412681, 0.0000000000, 0.0000000000},
80  {0, 0, 0, 1, 0, 0.0660520784, 0.0660520784, 0.8678958432, 0.0000000000},
81  {0, 0, 0, 1, 0, 0.2033467796, 0.2033467796, 0.5933064408, 0.0000000000},
82  {0, 0, 0, 1, 0, 0.3905496216, 0.3905496216, 0.2189007568, 0.0000000000},
83  {0, 0, 0, 1, 0, 0.1047451941, 0.1047451941, 0.5581946462, 0.2323149656},
84  {0, 0, 0, 1, 0, 0.2419418605, 0.2419418605, 0.4062097450, 0.1099065340},
85  {0, 0, 0, 0, 1, 0.3617970895, 0.5541643672, 0.0840385433, 0.0000000000},
86  {0, 0, 0, 0, 1, 0.1801396087, 0.7519065566, 0.0679538347, 0.0000000000},
87  // 9 18 %%% Order / Number of Points
88  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
89  {0, 1, 0, 0, 0, 0.3333333333, 0.3333333333, 0.3333333333, 0.0000000000},
90  {0, 1, 0, 0, 0, 0.0823287303, 0.0823287303, 0.0823287303, 0.7530138091},
91  {0, 1, 0, 0, 0, 0.2123055477, 0.2123055477, 0.2123055477, 0.3630833569},
92  {0, 0, 0, 2, 0, 0.9597669541, 0.0402330459, 0.0000000000, 0.0000000000},
93  {0, 0, 0, 2, 0, 0.8693869326, 0.1306130674, 0.0000000000, 0.0000000000},
94  {0, 0, 0, 2, 0, 0.7389624749, 0.2610375251, 0.0000000000, 0.0000000000},
95  {0, 0, 0, 2, 0, 0.5826394788, 0.4173605212, 0.0000000000, 0.0000000000},
96  {0, 0, 0, 1, 0, 0.0355775717, 0.0355775717, 0.9288448566, 0.0000000000},
97  {0, 0, 0, 1, 0, 0.4640303025, 0.4640303025, 0.0719393950, 0.0000000000},
98  {0, 0, 0, 1, 0, 0.1633923069, 0.1633923069, 0.6732153862, 0.0000000000},
99  {0, 0, 0, 1, 0, 0.0873980781, 0.0873980781, 0.6297057875, 0.1954980564},
100  {0, 0, 0, 1, 0, 0.0916714679, 0.0916714679, 0.4819523024, 0.3347047619},
101  {0, 0, 0, 1, 0, 0.2040338880, 0.2040338880, 0.4996292993, 0.0923029247},
102  {0, 0, 0, 1, 0, 0.3483881173, 0.3483881173, 0.2075502723, 0.0956734931},
103  {0, 0, 0, 0, 1, 0.2966333890, 0.6349633653, 0.0684032457, 0.0000000000},
104  {0, 0, 0, 0, 0, 0.1439089974, 0.8031490682, 0.0529419344, 0.0000000000},
105  {0, 0, 0, 0, 0, 0.3225890045, 0.4968009397, 0.1806100558, 0.0000000000},
106  // 10 23 %%% Order / Number of Points
107  {0, 1, 0, 0, 0, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000},
108  {0, 1, 0, 0, 0, 0.0678316144, 0.0678316144, 0.0678316144, 0.7965051568},
109  {0, 1, 0, 0, 0, 0.1805746957, 0.1805746957, 0.1805746957, 0.4582759129},
110  {0, 1, 0, 0, 0, 0.3051527124, 0.3051527124, 0.3051527124, 0.0845418628},
111  {0, 0, 1, 0, 0, 0.5000000000, 0.5000000000, 0.0000000000, 0.0000000000},
112  {0, 0, 1, 0, 0, 0.3164336236, 0.3164336236, 0.1835663764, 0.1835663764},
113  {0, 0, 1, 0, 0, 0.4219543801, 0.4219543801, 0.0780456199, 0.0780456199},
114  {0, 0, 0, 2, 0, 0.9670007152, 0.0329992848, 0.0000000000, 0.0000000000},
115  {0, 0, 0, 2, 0, 0.8922417368, 0.1077582632, 0.0000000000, 0.0000000000},
116  {0, 0, 0, 2, 0, 0.7826176635, 0.2173823365, 0.0000000000, 0.0000000000},
117  {0, 0, 0, 2, 0, 0.6478790678, 0.3521209322, 0.0000000000, 0.0000000000},
118  {0, 0, 0, 1, 0, 0.0265250690, 0.0265250690, 0.9469498620, 0.0000000000},
119  {0, 0, 0, 1, 0, 0.1330857076, 0.1330857076, 0.7338285848, 0.0000000000},
120  {0, 0, 0, 1, 0, 0.4232062312, 0.4232062312, 0.1535875376, 0.0000000000},
121  {0, 0, 0, 1, 0, 0.2833924371, 0.2833924371, 0.4332151258, 0.0000000000},
122  {0, 0, 0, 1, 0, 0.1734555313, 0.1734555313, 0.5762731177, 0.0768158196},
123  {0, 0, 0, 1, 0, 0.0724033935, 0.0724033935, 0.6893564961, 0.1658367169},
124  {0, 0, 0, 1, 0, 0.0768451848, 0.0768451848, 0.5573732958, 0.2889363346},
125  {0, 0, 0, 0, 1, 0.3934913008, 0.5472380443, 0.0592706549, 0.0000000000},
126  {0, 0, 0, 0, 1, 0.2462883939, 0.6991456238, 0.0545659823, 0.0000000000},
127  {0, 0, 0, 0, 1, 0.1163195334, 0.8427538829, 0.0409265838, 0.0000000000},
128  {0, 0, 0, 0, 1, 0.2707097521, 0.5811217960, 0.1481684519, 0.0000000000},
129  {0, 0, 0, 0, 1, 0.3019928872, 0.4393774966, 0.1776946096, 0.0809350066}};
130 
131  }
132 }
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