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geometrical_element_property.hh
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/**
* @file geometrical_element_property.hh
*
* @author Mauro Corrado <mauro.corrado@epfl.ch>
* @author Thomas Menouillard <tmenouillard@stucky.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Wed Nov 29 2017
* @date last modification: Thu Feb 20 2020
*
* @brief Specialization of the geometrical types
*
*
* @section LICENSE
*
* Copyright (©) 2016-2021 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
//#include "element_class.hh"
/* -------------------------------------------------------------------------- */
#include <array>
/* -------------------------------------------------------------------------- */
namespace akantu {
namespace detail {
template <typename properties> constexpr size_t sizeFacetConnectivity() {
size_t s = 0;
for (size_t n = 0; n < properties::nb_facet_types; ++n) {
s += properties::nb_facets[n] * properties::nb_nodes_per_facet[n];
}
return s == 0 ? 1 : s;
}
} // namespace detail
#if !defined(DOXYGEN)
template <> struct GeometricalElementProperty<_gt_not_defined> {
static constexpr Int spatial_dimension{0};
static constexpr Int nb_nodes_per_element{0};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{0}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{0}};
static constexpr std::array<Int, 1> facet_connectivity_vect{{0}};
};
template <> struct GeometricalElementProperty<_gt_point> {
static constexpr Int spatial_dimension{0};
static constexpr Int nb_nodes_per_element{1};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{1}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{1}};
static constexpr std::array<Int, 1> facet_connectivity_vect{{0}};
};
template <> struct GeometricalElementProperty<_gt_segment_2> {
static constexpr Int spatial_dimension{1};
static constexpr Int nb_nodes_per_element{2};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{1}};
static constexpr std::array<Int, 2> facet_connectivity_vect{{0, 1}};
};
template <> struct GeometricalElementProperty<_gt_segment_3> {
static constexpr Int spatial_dimension{1};
static constexpr Int nb_nodes_per_element{3};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{1}};
// clang-format off
static constexpr std::array<Int, 2> facet_connectivity_vect{{0, 1}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_triangle_3> {
static constexpr Int spatial_dimension{2};
static constexpr Int nb_nodes_per_element{3};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{3}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{2}};
// clang-format off
static constexpr std::array<Int, 6> facet_connectivity_vect{{
0, 1, 2,
1, 2, 0}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_triangle_6> {
static constexpr Int spatial_dimension{2};
static constexpr Int nb_nodes_per_element{6};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{3}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{3}};
// clang-format off
static constexpr std::array<Int, 9> facet_connectivity_vect{{
0, 1, 2,
1, 2, 0,
3, 4, 5}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_tetrahedron_4> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{4};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{4}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{3}};
// clang-format off
static constexpr std::array<Int, 12> facet_connectivity_vect{{
0, 1, 2, 0,
2, 2, 0, 1,
1, 3, 3, 3}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_tetrahedron_10> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{10};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{4}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{6}};
// clang-format off
static constexpr std::array<Int, 6*4> facet_connectivity_vect{{
0, 1, 2, 0,
2, 2, 0, 1,
1, 3, 3, 3,
6, 5, 6, 4,
5, 9, 7, 8,
4, 8, 9, 7}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_quadrangle_4> {
static constexpr Int spatial_dimension{2};
static constexpr Int nb_nodes_per_element{4};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{4}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{2}};
// clang-format off
static constexpr std::array<Int, 2*4> facet_connectivity_vect{{
0, 1, 2, 3,
1, 2, 3, 0}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_quadrangle_8> {
static constexpr Int spatial_dimension{2};
static constexpr Int nb_nodes_per_element{8};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{4}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{3}};
// clang-format off
static constexpr std::array<Int, 4*3> facet_connectivity_vect{{
0, 1, 2, 3,
1, 2, 3, 0,
4, 5, 6, 7}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_hexahedron_8> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{8};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{6}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{4}};
// clang-format off
static constexpr std::array<Int, 4*6> facet_connectivity_vect{{
0, 0, 1, 2, 3, 4,
3, 1, 2, 3, 0, 5,
2, 5, 6, 7, 4, 6,
1, 4, 5, 6, 7, 7}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_hexahedron_20> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{20};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{6}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{8}};
// clang-format off
static constexpr std::array<Int, 8*6> facet_connectivity_vect{{
0, 1, 2, 3, 0, 4,
1, 2, 3, 0, 3, 5,
5, 6, 7, 4, 2, 6,
4, 5, 6, 7, 1, 7,
8, 9, 10, 11, 11, 16,
13, 14, 15, 12, 10, 17,
16, 17, 18, 19, 9, 18,
12, 13, 14, 15, 8, 19}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_pentahedron_6> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{6};
static constexpr Int nb_facet_types{2};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2, 3}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{3, 4}};
// clang-format off
static constexpr std::array<Int, 3*2 + 4*3> facet_connectivity_vect{{
// first type
0, 3,
2, 4,
1, 5,
// second type
0, 0, 1,
1, 3, 2,
4, 5, 5,
3, 2, 4}};
// clang-format on
};
template <> struct GeometricalElementProperty<_gt_pentahedron_15> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{15};
static constexpr Int nb_facet_types{2};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2, 3}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{6, 8}};
// clang-format off
static constexpr std::array<Int, 6*2 + 8*3> facet_connectivity_vect{{
// first type
0, 3,
2, 4,
1, 5,
8, 12,
7, 13,
6, 14,
// second type
0, 0, 1,
1, 3, 2,
4, 5, 5,
3, 2, 4,
6, 9, 7,
10, 14, 11,
12, 11, 13,
9, 8, 10}};
// clang-format on
};
#if defined(AKANTU_COHESIVE_ELEMENT)
/* -------------------------------------------------------------------------- */
template <> struct GeometricalElementProperty<_gt_cohesive_2d_4> {
static constexpr Int spatial_dimension{2};
static constexpr Int nb_nodes_per_element{4};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{2}};
// clang-format off
static constexpr std::array<Int, 2 * 2> facet_connectivity_vect{{
0, 2,
1, 3}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template <> struct GeometricalElementProperty<_gt_cohesive_2d_6> {
static constexpr Int spatial_dimension{2};
static constexpr Int nb_nodes_per_element{6};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{3}};
// clang-format off
static constexpr std::array<Int, 3*2> facet_connectivity_vect{{
0, 3,
1, 4,
2, 5}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template <> struct GeometricalElementProperty<_gt_cohesive_1d_2> {
static constexpr Int spatial_dimension{1};
static constexpr Int nb_nodes_per_element{2};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{1}};
// clang-format off
static constexpr std::array<Int, 2> facet_connectivity_vect{{0, 1}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template <> struct GeometricalElementProperty<_gt_cohesive_3d_6> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{6};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{3}};
// clang-format off
static constexpr std::array<Int, 3*2> facet_connectivity_vect{{
0, 3,
1, 4,
2, 5}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template <> struct GeometricalElementProperty<_gt_cohesive_3d_12> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{12};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{6}};
// clang-format off
static constexpr std::array<Int, 6*2> facet_connectivity_vect{{
0, 6,
1, 7,
2, 8,
3, 9,
4, 10,
5, 11}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template <> struct GeometricalElementProperty<_gt_cohesive_3d_8> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{8};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{4}};
// clang-format off
static constexpr std::array<Int, 4*2> facet_connectivity_vect{{
0, 4,
1, 5,
2, 6,
3, 7}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template <> struct GeometricalElementProperty<_gt_cohesive_3d_16> {
static constexpr Int spatial_dimension{3};
static constexpr Int nb_nodes_per_element{16};
static constexpr Int nb_facet_types{1};
static constexpr std::array<Int, nb_facet_types> nb_facets{{2}};
static constexpr std::array<Int, nb_facet_types> nb_nodes_per_facet{{8}};
// clang-format off
static constexpr std::array<Int, 8*2> facet_connectivity_vect{{
0, 8,
1, 9,
2, 10,
3, 11,
4, 12,
5, 13,
6, 14,
7, 15}};
// clang-format on
};
#endif // AKANTU_COHESIVE_ELEMENT
/* -------------------------------------------------------------------------- */
template <> struct ElementClassExtraGeometryProperties<_not_defined> {
static constexpr ElementType p1_type{_not_defined};
static constexpr std::array<ElementType, 1> facet_type{{_not_defined}};
};
template <> struct ElementClassExtraGeometryProperties<_point_1> {
static constexpr ElementType p1_type{_point_1};
static constexpr std::array<ElementType, 1> facet_type{{_point_1}};
};
template <> struct ElementClassExtraGeometryProperties<_segment_2> {
static constexpr ElementType p1_type{_segment_2};
static constexpr std::array<ElementType, 1> facet_type{{_point_1}};
};
template <> struct ElementClassExtraGeometryProperties<_segment_3> {
static constexpr ElementType p1_type{_segment_2};
static constexpr std::array<ElementType, 1> facet_type{{_point_1}};
};
template <> struct ElementClassExtraGeometryProperties<_triangle_3> {
static constexpr ElementType p1_type{_triangle_3};
static constexpr std::array<ElementType, 1> facet_type{{_segment_2}};
};
template <> struct ElementClassExtraGeometryProperties<_triangle_6> {
static constexpr ElementType p1_type{_triangle_3};
static constexpr std::array<ElementType, 1> facet_type{{_segment_3}};
};
template <> struct ElementClassExtraGeometryProperties<_tetrahedron_4> {
static constexpr ElementType p1_type{_tetrahedron_4};
static constexpr std::array<ElementType, 1> facet_type{{_triangle_3}};
};
template <> struct ElementClassExtraGeometryProperties<_tetrahedron_10> {
static constexpr ElementType p1_type{_tetrahedron_4};
static constexpr std::array<ElementType, 1> facet_type{{_triangle_6}};
};
template <> struct ElementClassExtraGeometryProperties<_quadrangle_4> {
static constexpr ElementType p1_type{_quadrangle_4};
static constexpr std::array<ElementType, 1> facet_type{{_segment_2}};
};
template <> struct ElementClassExtraGeometryProperties<_quadrangle_8> {
static constexpr ElementType p1_type{_quadrangle_4};
static constexpr std::array<ElementType, 1> facet_type{{_segment_3}};
};
template <> struct ElementClassExtraGeometryProperties<_hexahedron_8> {
static constexpr ElementType p1_type{_hexahedron_8};
static constexpr std::array<ElementType, 1> facet_type{{_quadrangle_4}};
};
template <> struct ElementClassExtraGeometryProperties<_hexahedron_20> {
static constexpr ElementType p1_type{_hexahedron_8};
static constexpr std::array<ElementType, 1> facet_type{{_quadrangle_8}};
};
template <> struct ElementClassExtraGeometryProperties<_pentahedron_6> {
static constexpr ElementType p1_type{_pentahedron_6};
static constexpr std::array<ElementType, 2> facet_type{
{_triangle_3, _quadrangle_4}};
};
template <> struct ElementClassExtraGeometryProperties<_pentahedron_15> {
static constexpr ElementType p1_type{_pentahedron_6};
static constexpr std::array<ElementType, 2> facet_type{
{_triangle_6, _quadrangle_8}};
};
#if defined(AKANTU_COHESIVE_ELEMENT)
template <> struct ElementClassExtraGeometryProperties<_cohesive_2d_4> {
static constexpr ElementType p1_type{_cohesive_2d_4};
static constexpr std::array<ElementType, 1> facet_type{{_segment_2}};
};
template <> struct ElementClassExtraGeometryProperties<_cohesive_2d_6> {
static constexpr ElementType p1_type{_cohesive_2d_4};
static constexpr std::array<ElementType, 1> facet_type{{_segment_3}};
};
template <> struct ElementClassExtraGeometryProperties<_cohesive_1d_2> {
static constexpr ElementType p1_type{_cohesive_1d_2};
static constexpr std::array<ElementType, 1> facet_type{{_point_1}};
};
template <> struct ElementClassExtraGeometryProperties<_cohesive_3d_6> {
static constexpr ElementType p1_type{_cohesive_3d_6};
static constexpr std::array<ElementType, 1> facet_type{{_triangle_3}};
};
template <> struct ElementClassExtraGeometryProperties<_cohesive_3d_12> {
static constexpr ElementType p1_type{_cohesive_3d_6};
static constexpr std::array<ElementType, 1> facet_type{{_triangle_6}};
};
template <> struct ElementClassExtraGeometryProperties<_cohesive_3d_8> {
static constexpr ElementType p1_type{_cohesive_3d_8};
static constexpr std::array<ElementType, 1> facet_type{{_quadrangle_4}};
};
template <> struct ElementClassExtraGeometryProperties<_cohesive_3d_16> {
static constexpr ElementType p1_type{_cohesive_3d_8};
static constexpr std::array<ElementType, 1> facet_type{{_quadrangle_8}};
};
#endif // AKANTU_COHESIVE_ELEMENT
#endif // !defined(DOXYGEN)
} // namespace akantu
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