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lgr_composite_nodal_mass.cpp
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lgr_composite_nodal_mass.cpp
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#include <lgr_composite_inline.hpp>
#include <lgr_composite_tetrahedron.hpp>
#include <lgr_state.hpp>
namespace lgr {
namespace composite_tetrahedron {
HPC_ALWAYS_INLINE HPC_HOST_DEVICE double
get_q(double const x) noexcept
{
return 0.25 * (1.0 - std::sqrt(5.0) + 4.0 * std::sqrt(5.0) * x);
}
HPC_ALWAYS_INLINE HPC_HOST_DEVICE vector4<double>
get_Q(hpc::vector3<double> const xi) noexcept
{
return vector4<double>(get_q(1.0 - xi(0) - xi(1) - xi(2)), get_q(xi(0)), get_q(xi(1)), get_q(xi(2)));
}
HPC_NOINLINE HPC_HOST_DEVICE inline void
get_centroids(hpc::array<hpc::vector3<double>, 12>& xi) noexcept
{
xi[0] = hpc::vector3<double>(0.125, 0.125, 0.125);
xi[1] = hpc::vector3<double>(0.625, 0.125, 0.125);
xi[2] = hpc::vector3<double>(0.125, 0.625, 0.125);
xi[3] = hpc::vector3<double>(0.125, 0.125, 0.625);
xi[4] = hpc::vector3<double>(0.4375, 0.1875, 0.1875);
xi[5] = hpc::vector3<double>(0.3125, 0.3125, 0.3125);
xi[6] = hpc::vector3<double>(0.1875, 0.1875, 0.4375);
xi[7] = hpc::vector3<double>(0.3125, 0.0625, 0.3125);
xi[8] = hpc::vector3<double>(0.3125, 0.3125, 0.0625);
xi[9] = hpc::vector3<double>(0.1875, 0.4375, 0.1875);
xi[10] = hpc::vector3<double>(0.0625, 0.3125, 0.3125);
xi[11] = hpc::vector3<double>(0.1875, 0.1875, 0.1875);
}
HPC_NOINLINE HPC_HOST_DEVICE inline void
get_consistent_mass_matrix(
hpc::array<hpc::vector3<double>, 10> const& node_coords,
vector4<double> const& point_densities,
hpc::array<hpc::array<double, 10>, 10>& mass) noexcept
{
S_t S;
get_S(S);
O_t O;
get_O(node_coords, S, O);
hpc::array<double, 12> O_det;
get_O_det(O, O_det);
hpc::array<hpc::vector3<double>, 12> C;
get_centroids(C);
gamma_t gamma;
get_gamma(gamma);
for (int i = 0; i < 10; ++i) {
for (int j = 0; j < 10; ++j) {
mass[i][j] = 0.0;
}
}
for (int tet = 0; tet < 12; ++tet) {
auto const c_s = C[tet];
auto const Q_s = get_Q(c_s);
auto const rho_s = Q_s * point_densities;
auto const J_s = O_det[tet];
auto const gamma_s = gamma[tet];
for (int i = 0; i < 10; ++i) {
for (int j = 0; j < 10; ++j) {
mass[i][j] += (J_s * rho_s) * gamma_s[i][j];
}
}
}
}
HPC_NOINLINE HPC_HOST_DEVICE inline void
lump_mass_matrix(hpc::array<hpc::array<double, 10>, 10> const& mass, hpc::array<double, 10>& lumped) noexcept
{
for (int i = 0; i < 10; ++i) {
lumped[i] = 0.0;
for (int j = 0; j < 10; ++j) {
lumped[i] += mass[i][j];
}
}
}
} // namespace composite_tetrahedron
void
update_nodal_mass_composite_tetrahedron(state& s, material_index const material)
{
auto const nodes_to_node_elements = s.nodes_to_node_elements.cbegin();
auto const node_elements_to_elements = s.node_elements_to_elements.cbegin();
auto const points_to_rho = s.rho.cbegin();
auto const nodes_to_x = s.x.cbegin();
auto const nodes_to_m = s.material_mass[material].begin();
auto const elements_to_points = s.elements * s.points_in_element;
auto const elements_to_element_nodes = s.elements * s.nodes_in_element;
auto const nodes_in_element = s.nodes_in_element;
auto const element_nodes_to_nodes = s.elements_to_nodes.cbegin();
auto const points_in_element = s.points_in_element;
auto const node_elements_to_nodes_in_element = s.node_elements_to_nodes_in_element.cbegin();
auto const elements_to_material = s.material.cbegin();
auto functor = [=] HPC_DEVICE(node_index const node) {
double m(0.0);
auto const node_elements = nodes_to_node_elements[node];
for (auto const node_element : node_elements) {
element_index const element = node_elements_to_elements[node_element];
material_index const element_material = elements_to_material[element];
if (element_material != material) continue;
node_in_element_index const node_in_element = node_elements_to_nodes_in_element[node_element];
auto const element_nodes = elements_to_element_nodes[element];
hpc::array<hpc::vector3<double>, 10> node_coords;
for (auto const node_in_element2 : nodes_in_element) {
auto const node2 = element_nodes_to_nodes[element_nodes[node_in_element2]];
node_coords[hpc::weaken(node_in_element2)] = hpc::vector3<double>(nodes_to_x[node2].load());
}
vector4<double> point_densities;
auto const element_points = elements_to_points[element];
for (auto const point_in_element : points_in_element) {
auto const point = element_points[point_in_element];
point_densities(hpc::weaken(point_in_element)) = double(points_to_rho[point]);
}
hpc::array<hpc::array<double, 10>, 10> consistent_mass_matrix;
composite_tetrahedron::get_consistent_mass_matrix(node_coords, point_densities, consistent_mass_matrix);
hpc::array<double, 10> coef;
composite_tetrahedron::lump_mass_matrix(consistent_mass_matrix, coef);
m = m + coef[hpc::weaken(node_in_element)];
}
nodes_to_m[node] = m;
};
hpc::for_each(hpc::device_policy(), s.node_sets[material], functor);
}
} // namespace lgr