OGS
NaturalNodeCoordinates.h
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1
11#pragma once
12
13#include "MeshLib/Elements/Elements.h"
14
15namespace NumLib
16{
19template <typename MeshLibElement>
20struct NaturalCoordinates;
21
22template <>
23struct NaturalCoordinates<MeshLib::Point>
24{
25 static constexpr std::array<std::array<double, 3>, 1> coordinates = {
26 {{0, 0, 0}}};
27};
28
29template <>
30struct NaturalCoordinates<MeshLib::Line>
31{
32 static constexpr std::array<std::array<double, 3>, 2> coordinates = {
33 {{{-1, 0, 0}}, {{1, 0, 0}}}};
34};
35
36template <>
37struct NaturalCoordinates<MeshLib::Line3>
38{
39 static constexpr std::array<std::array<double, 3>, 3> coordinates = {
40 {{{-1, 0, 0}}, {{1, 0, 0}}, {{0, 0, 0}}}};
41};
42
43template <>
44struct NaturalCoordinates<MeshLib::Tri>
45{
46 static constexpr std::array<std::array<double, 3>, 3> coordinates = {
47 {{{0, 0, 0}}, {{1, 0, 0}}, {{0, 1, 0}}}};
48};
49
50template <>
51struct NaturalCoordinates<MeshLib::Tri6>
52{
53 static constexpr std::array<std::array<double, 3>, 6> coordinates = {
54 {{{0, 0, 0}},
55 {{1, 0, 0}},
56 {{0, 1, 0}},
57 {{0.5, 0, 0}},
58 {{0.5, 0.5, 0}},
59 {{0, 0.5, 0}}}};
60};
61
62template <>
63struct NaturalCoordinates<MeshLib::Quad>
64{
65 static constexpr std::array<std::array<double, 3>, 4> coordinates = {
66 {{{1, 1, 0}}, {{-1, 1, 0}}, {{-1, -1, 0}}, {{1, -1, 0}}}};
67};
68
69template <>
70struct NaturalCoordinates<MeshLib::Quad8>
71{
72 static constexpr std::array<std::array<double, 3>, 8> coordinates = {
73 {{{1, 1, 0}},
74 {{-1, 1, 0}},
75 {{-1, -1, 0}},
76 {{1, -1, 0}},
77 {{0, 1, 0}},
78 {{-1, 0, 0}},
79 {{0, -1, 0}},
80 {{1, 0, 0}}}};
81};
82
83template <>
84struct NaturalCoordinates<MeshLib::Quad9>
85{
86 static constexpr std::array<std::array<double, 3>, 9> coordinates = {
87 {{{1, 1, 0}},
88 {{-1, 1, 0}},
89 {{-1, -1, 0}},
90 {{1, -1, 0}},
91 {{0, 1, 0}},
92 {{-1, 0, 0}},
93 {{0, -1, 0}},
94 {{1, 0, 0}},
95 {{0, 0, 0}}}};
96};
97
98template <>
99struct NaturalCoordinates<MeshLib::Tet>
100{
101 static constexpr std::array<std::array<double, 3>, 4> coordinates = {
102 {{{0, 0, 0}}, {{1, 0, 0}}, {{0, 1, 0}}, {{0, 0, 1}}}};
103};
104
105template <>
106struct NaturalCoordinates<MeshLib::Tet10>
107{
108 static constexpr std::array<std::array<double, 3>, 10> coordinates = {
109 {{{0, 0, 0}},
110 {{1, 0, 0}},
111 {{0, 1, 0}},
112 {{0, 0, 1}},
113
114 {{0.5, 0, 0}},
115 {{0.5, 0.5, 0}},
116 {{0, 0.5, 0}},
117
118 {{0, 0, 0.5}},
119 {{0.5, 0, 0.5}},
120 {{0, 0.5, 0.5}}}};
121};
122
123template <>
124struct NaturalCoordinates<MeshLib::Prism>
125{
126 static constexpr std::array<std::array<double, 3>, 6> coordinates = {
127 {{{0, 0, -1}},
128 {{1, 0, -1}},
129 {{0, 1, -1}},
130 {{0, 0, 1}},
131 {{1, 0, 1}},
132 {{0, 1, 1}}}};
133};
134
135template <>
136struct NaturalCoordinates<MeshLib::Prism15>
137{
138 static constexpr std::array<std::array<double, 3>, 15> coordinates = {
139 {{{0, 0, -1}},
140 {{1, 0, -1}},
141 {{0, 1, -1}},
142 {{0, 0, 1}},
143 {{1, 0, 1}},
144 {{0, 1, 1}},
145
146 {{0.5, 0, -1}},
147 {{0.5, 0.5, -1}},
148 {{0, 0.5, -1}},
149
150 {{0.5, 0, 1}},
151 {{0.5, 0.5, 1}},
152 {{0, 0.5, 1}},
153
154 {{0, 0, 0}},
155 {{1, 0, 0}},
156 {{0, 1, 0}}}};
157};
158
159template <>
160struct NaturalCoordinates<MeshLib::Pyramid>
161{
162 static constexpr std::array<std::array<double, 3>, 5> coordinates = {
163 {{{-1, -1, -1}},
164 {{1, -1, -1}},
165 {{1, 1, -1}},
166 {{-1, 1, -1}},
167 {{0, 0, 1}}}};
168};
169
170template <>
171struct NaturalCoordinates<MeshLib::Pyramid13>
172{
173 static constexpr std::array<std::array<double, 3>, 13> coordinates = {{
174 {{-1, -1, -1}},
175 {{1, -1, -1}},
176 {{1, 1, -1}},
177 {{-1, 1, -1}},
178
179 {{0, 0, 1}},
180
181 {{0, -1, -1}},
182 {{1, 0, -1}},
183 {{0, 1, -1}},
184 {{-1, 0, -1}},
185
186 {{-1, -1, 0}},
187 {{1, -1, 0}},
188 {{1, 1, 0}},
189 {{-1, 1, 0}},
190 }};
191};
192
193template <>
194struct NaturalCoordinates<MeshLib::Hex>
195{
196 static constexpr std::array<std::array<double, 3>,
197 MeshLib::Hex::n_all_nodes>
198 coordinates = {{{{-1, -1, -1}},
199 {{1, -1, -1}},
200 {{1, 1, -1}},
201 {{-1, 1, -1}},
202 {{-1, -1, 1}},
203 {{1, -1, 1}},
204 {{1, 1, 1}},
205 {{-1, 1, 1}}}};
206};
207
208template <>
209struct NaturalCoordinates<MeshLib::Hex20>
210{
211 static constexpr std::array<std::array<double, 3>,
212 MeshLib::Hex20::n_all_nodes>
213 coordinates = {
214 {{{-1, -1, -1}}, {{1, -1, -1}}, {{1, 1, -1}}, {{-1, 1, -1}},
215 {{-1, -1, 1}}, {{1, -1, 1}}, {{1, 1, 1}}, {{-1, 1, 1}},
216
217 {{0, -1, -1}}, {{1, 0, -1}}, {{0, 1, -1}}, {{-1, 0, -1}},
218 {{0, -1, 1}}, {{1, 0, 1}}, {{0, 1, 1}}, {{-1, 0, 1}},
219
220 {{-1, -1, 0}}, {{1, -1, 0}}, {{1, 1, 0}}, {{-1, 1, 0}}}};
221};
222} // namespace NumLib
MeshLib::TemplateElement::n_all_nodes
static const unsigned n_all_nodes
Constant: The number of all nodes for this element.
Definition TemplateElement.h:38