Nektar++
NodalTriFeketeData.h
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1///////////////////////////////////////////////////////////////////////////////
2//
3// File: NodalTriFeketeData.h
4//
5// For more information, please see: http://www.nektar.info
6//
7// The MIT License
8//
9// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
10// Department of Aeronautics, Imperial College London (UK), and Scientific
11// Computing and Imaging Institute, University of Utah (USA).
12//
13// Permission is hereby granted, free of charge, to any person obtaining a
14// copy of this software and associated documentation files (the "Software"),
15// to deal in the Software without restriction, including without limitation
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18// Software is furnished to do so, subject to the following conditions:
19//
20// The above copyright notice and this permission notice shall be included
21// in all copies or substantial portions of the Software.
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23// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
24// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
25// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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29// DEALINGS IN THE SOFTWARE.
30//
31// Description:
32//
33///////////////////////////////////////////////////////////////////////////////
34
35namespace Nektar::LibUtilities
36{
37static const size_t perm3A_2d[3][3] = {
38 {0, 1, 2}, {2, 0, 1}, {0, 2, 1}}; // Works for aab
39static const size_t perm3B_2d[3][3] = {
40 {0, 1, 2}, {1, 0, 2}, {1, 2, 0}}; // Works for abb
41static const size_t perm3C_2d[3][3] = {
42 {0, 1, 2}, {2, 0, 1}, {1, 2, 0}}; // Works for aab and abb
43static const size_t perm6_2d[6][3] = {{0, 1, 2}, {1, 0, 2},
44 {2, 0, 1}, {2, 1, 0},
45 {0, 2, 1}, {1, 2, 0}}; // Works for abc
46const size_t NodalTriFeketeAvailable = 16;
47static const size_t NodalTriFeketeNPTS[NodalTriFeketeAvailable] = {
48 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, 19, 21, 24, 27, 30};
49static const NekDouble NodalTriFeketeData[][6] = {
50 // %%% n_1 n_3 n_6 l_1 l_2 l_3
51 // 1 1 %%% Order / Number of Points
52 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
53 // 2 2 %%% Order / Number of Points
54 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
55 {0, 1, 0, 0.5000000000, 0.5000000000, 0.0000000000},
56 // 3 3 %%% Order / Number of Points
57 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
58 {0, 0, 1, 0.7236067977, 0.2763932023, 0.0000000000},
59 {1, 0, 0, 0.3333333333, 0.3333333333, 0.3333333333},
60 // 4 4 %%% Order / Number of Points
61 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
62 {0, 1, 0, 0.5000000000, 0.5000000000, 0.0000000000},
63 {0, 0, 1, 0.8273268354, 0.1726731646, 0.0000000000},
64 {0, 2, 0, 0.5669152707, 0.2165423647, 0.2165423647},
65 // 5 5 %%% Order / Number of Points
66 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
67 {0, 0, 1, 0.8825276620, 0.1174723380, 0.0000000000},
68 {0, 0, 1, 0.6426157582, 0.3573842418, 0.0000000000},
69 {0, 2, 0, 0.7039610574, 0.1480194713, 0.1480194713},
70 {0, 1, 0, 0.4208255393, 0.4208255393, 0.1583489214},
71 // 6 7 %%% Order / Number of Points
72 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
73 {0, 1, 0, 0.5000000000, 0.5000000000, 0.0000000000},
74 {0, 0, 1, 0.9151145777, 0.0848854223, 0.0000000000},
75 {0, 0, 1, 0.7344348598, 0.2655651402, 0.0000000000},
76 {1, 0, 0, 0.3333333333, 0.3333333333, 0.3333333333},
77 {0, 2, 0, 0.7873290632, 0.1063354684, 0.1063354684},
78 {0, 0, 1, 0.5665492870, 0.3162697959, 0.1171809171},
79 // 7 8 %%% Order / Number of Points
80 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
81 {0, 0, 1, 0.9358700743, 0.0641299257, 0.0000000000},
82 {0, 0, 1, 0.7958500908, 0.2041499092, 0.0000000000},
83 {0, 0, 1, 0.6046496090, 0.3953503910, 0.0000000000},
84 {0, 2, 0, 0.8408229862, 0.0795885069, 0.079588506},
85 {0, 2, 0, 0.4735817901, 0.2632091050, 0.2632091050},
86 {0, 1, 0, 0.4539853441, 0.4539853441, 0.0920293119},
87 {0, 0, 1, 0.6676923094, 0.2433646431, 0.0889430475},
88 // 8 10 %%% Order / Number of Points
89 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
90 {0, 1, 0, 0.5000000000, 0.5000000000, 0.0000000000},
91 {0, 0, 1, 0.9498789977, 0.0501210023, 0.0000000000},
92 {0, 0, 1, 0.8385931398, 0.1614068602, 0.0000000000},
93 {0, 0, 1, 0.6815587319, 0.3184412681, 0.0000000000},
94 {0, 2, 0, 0.8444999609, 0.0777500195, 0.0777500195},
95 {0, 1, 0, 0.4683305115, 0.4683305115, 0.0633389771},
96 {0, 1, 0, 0.3853668203, 0.3853668204, 0.2292663593},
97 {0, 0, 1, 0.7172965409, 0.2335581033, 0.0491453558},
98 {0, 0, 1, 0.5853134902, 0.2667701010, 0.1479164088},
99 // 9 12 %%% Order / Number of Points
100 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
101 {0, 0, 1, 0.9597669930, 0.0402330070, 0.0000000000},
102 {0, 0, 1, 0.8693870908, 0.1306129092, 0.0000000000},
103 {0, 0, 1, 0.7389628040, 0.2610371960, 0.0000000000},
104 {0, 0, 1, 0.5826397065, 0.4173602935, 0.0000000000},
105 {1, 0, 0, 0.3333333333, 0.3333333333, 0.3333333333},
106 {0, 2, 0, 0.9021308608, 0.0489345696, 0.0489345696},
107 {0, 2, 0, 0.6591363598, 0.1704318201, 0.1704318201},
108 {0, 1, 0, 0.4699587644, 0.4699587644, 0.0600824712},
109 {0, 0, 1, 0.7904339977, 0.1543901944, 0.0551758079},
110 {0, 0, 1, 0.6401193011, 0.3010242110, 0.0588564879},
111 {0, 0, 1, 0.4963227512, 0.3252434900, 0.1784337588},
112 // 10 14 %%% Order / Number of Points
113 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
114 {0, 2, 0, 0.5000000000, 0.5000000000, 0.0000000000},
115 {0, 0, 1, 0.9670007152, 0.0329992848, 0.0000000000},
116 {0, 0, 1, 0.8922417368, 0.1077582632, 0.0000000000},
117 {0, 0, 1, 0.7826176635, 0.2173823365, 0.0000000000},
118 {0, 0, 1, 0.6478790678, 0.3521209322, 0.0000000000},
119 {0, 2, 0, 0.9145236987, 0.0427381507, 0.0427381507},
120 {0, 2, 0, 0.5331019411, 0.2334490294, 0.2334490294},
121 {0, 1, 0, 0.4814795342, 0.4814795342, 0.0370409316},
122 {0, 1, 0, 0.3800851251, 0.3800851251, 0.2398297498},
123 {0, 0, 1, 0.8150971991, 0.1351329831, 0.0497698178},
124 {0, 0, 1, 0.6778669104, 0.2844305545, 0.0377025351},
125 {0, 0, 1, 0.6759450113, 0.2079572403, 0.1160977485},
126 {0, 0, 1, 0.5222323306, 0.3633472465, 0.1144204229},
127 // 11 16 %%% Order / Number of Points
128 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
129 {0, 0, 1, 0.9724496361, 0.0275503639, 0.0000000000},
130 {0, 0, 1, 0.9096396608, 0.0903603392, 0.0000000000},
131 {0, 0, 1, 0.8164380765, 0.1835619235, 0.0000000000},
132 {0, 0, 1, 0.6997654705, 0.3002345295, 0.0000000000},
133 {0, 0, 1, 0.5682764664, 0.4317235336, 0.0000000000},
134 {0, 2, 0, 0.9201760661, 0.0399119670, 0.0399119670},
135 {0, 2, 0, 0.8097416696, 0.0951291652, 0.0951291652},
136 {0, 2, 0, 0.4216558161, 0.2891720920, 0.2891720920},
137 {0, 1, 0, 0.4200100315, 0.4200100315, 0.1599799371},
138 {0, 1, 0, 0.4832770031, 0.4832770031, 0.0334459938},
139 {0, 0, 1, 0.8236881237, 0.1452587341, 0.0310531421},
140 {0, 0, 1, 0.7030268141, 0.2021386640, 0.0948345219},
141 {0, 0, 1, 0.6642752329, 0.3066778199, 0.0290469472},
142 {0, 0, 1, 0.5605605456, 0.3510551601, 0.0883842943},
143 {0, 0, 1, 0.5584153138, 0.2661283688, 0.1754563174},
144 // 12 19 %%% Order / Number of Points
145 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
146 {0, 1, 0, 0.5000000000, 0.5000000000, 0.0000000000},
147 {0, 0, 1, 0.9766549233, 0.0233450767, 0.0000000000},
148 {0, 0, 1, 0.9231737823, 0.0768262177, 0.0000000000},
149 {0, 0, 1, 0.8430942345, 0.1569057655, 0.0000000000},
150 {0, 0, 1, 0.7414549105, 0.2585450895, 0.0000000000},
151 {0, 0, 1, 0.6246434651, 0.3753565349, 0.0000000000},
152 {1, 0, 0, 0.3333333333, 0.3333333333, 0.3333333333},
153 {0, 1, 0, 0.4005558261, 0.4005558262, 0.1988883477},
154 {0, 2, 0, 0.4763189598, 0.2618405201, 0.2618405201},
155 {0, 2, 0, 0.8385226450, 0.0807386775, 0.0807386775},
156 {0, 2, 0, 0.9326048528, 0.0336975736, 0.0336975736},
157 {0, 0, 1, 0.8530528428, 0.1206826354, 0.0262645218},
158 {0, 0, 1, 0.7260597695, 0.2489279690, 0.0250122615},
159 {0, 0, 1, 0.6376427136, 0.2874821712, 0.0748751152},
160 {0, 0, 1, 0.5625832895, 0.4071849276, 0.0302317829},
161 {0, 0, 1, 0.7415828366, 0.1697134458, 0.0887037176},
162 {0, 0, 1, 0.5954847541, 0.2454317980, 0.1590834479},
163 {0, 0, 1, 0.5072511952, 0.3837518758, 0.1089969290},
164 // 13 21 %%% Order / Number of Points
165 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
166 {0, 0, 1, 0.9799675226, 0.0200324774, 0.0000000000},
167 {0, 0, 1, 0.9339005269, 0.0660994731, 0.0000000000},
168 {0, 0, 1, 0.8644342995, 0.1355657005, 0.0000000000},
169 {0, 0, 1, 0.7753197015, 0.2246802985, 0.0000000000},
170 {0, 0, 1, 0.6713620067, 0.3286379933, 0.0000000000},
171 {0, 0, 1, 0.5581659344, 0.4418340656, 0.0000000000},
172 {0, 2, 0, 0.8520024555, 0.0739987723, 0.0739987723},
173 {0, 2, 0, 0.7432264994, 0.1283867503, 0.1283867503},
174 {0, 2, 0, 0.5395738831, 0.2302130584, 0.2302130584},
175 {0, 1, 0, 0.4644144021, 0.4644144021, 0.0711711958},
176 {0, 2, 0, 0.4114075139, 0.2942962431, 0.2942962431},
177 {0, 1, 0, 0.3929739081, 0.3929739081, 0.2140521839},
178 {0, 0, 1, 0.9198937820, 0.0580254800, 0.0220807380},
179 {0, 0, 1, 0.8269495692, 0.1490288338, 0.0240215969},
180 {0, 0, 1, 0.7425432195, 0.1884717952, 0.0689849852},
181 {0, 0, 1, 0.7075668818, 0.2676625888, 0.0247705295},
182 {0, 0, 1, 0.6366434033, 0.2298513909, 0.1335052058},
183 {0, 0, 1, 0.5976134593, 0.3320684992, 0.0703180415},
184 {0, 0, 1, 0.5665760284, 0.4108329044, 0.0225910673},
185 {0, 0, 1, 0.5028853010, 0.3560657231, 0.1410489759},
186 // 14 24 %%% Order / Number of Points
187 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
188 {0, 1, 0, 0.5000000000, 0.5000000000, 0.0000000000},
189 {0, 0, 1, 0.9826229633, 0.0173770367, 0.0000000000},
190 {0, 0, 1, 0.9425410221, 0.0574589779, 0.0000000000},
191 {0, 0, 1, 0.8817598450, 0.1182401550, 0.0000000000},
192 {0, 0, 1, 0.8031266027, 0.1968733973, 0.0000000000},
193 {0, 0, 1, 0.7103190274, 0.2896809726, 0.0000000000},
194 {0, 0, 1, 0.6076769777, 0.3923230223, 0.0000000000},
195 {0, 2, 0, 0.9545282960, 0.0227358520, 0.0227358520},
196 {0, 2, 0, 0.7279988378, 0.1360005811, 0.1360005811},
197 {0, 2, 0, 0.6146143335, 0.1926928332, 0.1926928332},
198 {0, 1, 0, 0.4704320969, 0.4704320969, 0.0591358062},
199 {0, 2, 0, 0.4062455674, 0.2968772163, 0.2968772163},
200 {0, 1, 0, 0.3997167456, 0.3997167456, 0.2005665089},
201 {0, 0, 1, 0.8994312852, 0.0727092891, 0.0278594257},
202 {0, 0, 1, 0.8235331194, 0.1556596225, 0.0208072581},
203 {0, 0, 1, 0.8159593721, 0.1175577052, 0.0664829227},
204 {0, 0, 1, 0.7277004755, 0.2121104191, 0.0601891053},
205 {0, 0, 1, 0.7017966273, 0.2792485214, 0.0189548513},
206 {0, 0, 1, 0.6286342673, 0.2519081185, 0.1194576142},
207 {0, 0, 1, 0.6152236423, 0.3254238863, 0.0593524714},
208 {0, 0, 1, 0.5599300851, 0.4197058520, 0.0203640629},
209 {0, 0, 1, 0.5124435882, 0.2931807429, 0.1943756690},
210 {0, 0, 1, 0.5038948451, 0.3812965190, 0.1148086359},
211 // 15 27 %%% Order / Number of Points
212 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
213 {0, 0, 1, 0.9847840231, 0.0152159769, 0.0000000000},
214 {0, 0, 1, 0.9496002665, 0.0503997335, 0.0000000000},
215 {0, 0, 1, 0.8960041459, 0.1039958541, 0.0000000000},
216 {0, 0, 1, 0.8261943514, 0.1738056486, 0.0000000000},
217 {0, 0, 1, 0.7430297109, 0.2569702891, 0.0000000000},
218 {0, 0, 1, 0.6499152345, 0.3500847655, 0.0000000000},
219 {0, 0, 1, 0.5506631368, 0.4493368632, 0.0000000000},
220 {1, 0, 0, 0.3333333333, 0.3333333333, 0.3333333333},
221 {0, 2, 0, 0.9561008318, 0.0219495841, 0.0219495841},
222 {0, 2, 0, 0.8937652924, 0.0531173538, 0.0531173538},
223 {0, 2, 0, 0.7626684778, 0.1186657611, 0.1186657611},
224 {0, 2, 0, 0.5478917292, 0.2260541354, 0.2260541354},
225 {0, 1, 0, 0.4761452138, 0.4761452137, 0.0477095725},
226 {0, 1, 0, 0.4206960976, 0.4206960976, 0.1586078048},
227 {0, 0, 1, 0.9011419064, 0.0816639421, 0.0171941515},
228 {0, 0, 1, 0.8302595715, 0.1162464503, 0.0534939782},
229 {0, 0, 1, 0.8059790318, 0.1759511193, 0.0180698489},
230 {0, 0, 1, 0.7424917767, 0.1978887556, 0.0596194677},
231 {0, 0, 1, 0.6958779924, 0.2844332752, 0.0196887324},
232 {0, 0, 1, 0.6684861226, 0.1975591066, 0.1339547708},
233 {0, 0, 1, 0.6374939126, 0.2749910734, 0.0875150140},
234 {0, 0, 1, 0.6000365168, 0.3524012205, 0.0475622627},
235 {0, 0, 1, 0.5666808380, 0.4176001732, 0.0157189888},
236 {0, 0, 1, 0.5400834895, 0.3013819154, 0.1585345951},
237 {0, 0, 1, 0.5173966708, 0.3853507643, 0.0972525649},
238 {0, 0, 1, 0.4350225702, 0.3270403780, 0.2379370518},
239 // 16 30 %%% Order / Number of Points
240 {0, 2, 0, 1.0000000000, 0.0000000000, 0.0000000000},
241 {0, 1, 0, 0.5000000000, 0.5000000000, 0.0000000000},
242 {0, 0, 1, 0.9865660883, 0.0134339117, 0.0000000000},
243 {0, 0, 1, 0.9554399980, 0.0445600020, 0.0000000000},
244 {0, 0, 1, 0.9078481256, 0.0921518744, 0.0000000000},
245 {0, 0, 1, 0.8455144903, 0.1544855097, 0.0000000000},
246 {0, 0, 1, 0.7706926997, 0.2293073003, 0.0000000000},
247 {0, 0, 1, 0.6860872168, 0.3139127832, 0.0000000000},
248 {0, 0, 1, 0.5947559868, 0.4052440132, 0.0000000000},
249 {0, 2, 0, 0.9082733123, 0.0458633439, 0.0458633439},
250 {0, 2, 0, 0.7814558654, 0.1092720673, 0.1092720673},
251 {0, 2, 0, 0.5061583246, 0.2469208377, 0.2469208377},
252 {0, 1, 0, 0.4752124798, 0.4752124798, 0.0495750405},
253 {0, 1, 0, 0.4264731058, 0.4264731058, 0.1470537884},
254 {0, 2, 0, 0.3970899287, 0.3014550356, 0.3014550356},
255 {0, 1, 0, 0.3866478326, 0.3866478326, 0.2267043349},
256 {0, 0, 1, 0.9485194031, 0.0373109962, 0.0141696007},
257 {0, 0, 1, 0.8743842850, 0.1097814309, 0.0158342841},
258 {0, 0, 1, 0.8512484463, 0.0959614844, 0.0527900693},
259 {0, 0, 1, 0.7826094027, 0.1639276476, 0.0534629497},
260 {0, 0, 1, 0.7790251588, 0.2050142286, 0.0159606126},
261 {0, 0, 1, 0.7045940167, 0.2476638915, 0.0477420917},
262 {0, 0, 1, 0.7008539071, 0.1815134068, 0.1176326861},
263 {0, 0, 1, 0.6644617368, 0.3197919643, 0.0157462988},
264 {0, 0, 1, 0.6229177644, 0.2778907781, 0.0991914575},
265 {0, 0, 1, 0.6010014909, 0.3493750783, 0.0496234308},
266 {0, 0, 1, 0.6009076040, 0.2332142592, 0.1658781368},
267 {0, 0, 1, 0.5481915845, 0.4347608890, 0.0170475265},
268 {0, 0, 1, 0.5160516828, 0.3894384191, 0.0945098981},
269 {0, 0, 1, 0.5043443688, 0.3260983223, 0.1695573088}};
270} // namespace Nektar::LibUtilities
Nektar::LibUtilities::perm3A_2d
static const size_t perm3A_2d[3][3]
Definition: NodalTriElecData.h:37
Nektar::LibUtilities::perm6_2d
static const size_t perm6_2d[6][3]
Definition: NodalTriElecData.h:41
Nektar::LibUtilities::perm3C_2d
static const size_t perm3C_2d[3][3]
Definition: NodalTriFeketeData.h:41
Nektar::LibUtilities::NodalTriFeketeData
static const NekDouble NodalTriFeketeData[][6]
Definition: NodalTriFeketeData.h:49
Nektar::LibUtilities::NodalTriFeketeAvailable
const size_t NodalTriFeketeAvailable
Definition: NodalTriFeketeData.h:46
Nektar::LibUtilities::NodalTriFeketeNPTS
static const size_t NodalTriFeketeNPTS[NodalTriFeketeAvailable]
Definition: NodalTriFeketeData.h:47
Nektar::LibUtilities::perm3B_2d
static const size_t perm3B_2d[3][3]
Definition: NodalTriElecData.h:39
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:43
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