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lgr.cpp
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lgr.cpp
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#include <chrono>
#include <hpc_vector3.hpp>
#include <iostream>
#include <lgr_domain.hpp>
#include <lgr_input.hpp>
#include <lgr_physics.hpp>
#include <memory>
namespace lgr {
HPC_NOINLINE inline void
set_exponential_wave_v(
hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector)
{
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = nodes_to_x[node].load();
auto const d = x(0) - 0.5;
auto const v_x = 1.0e-4 * std::exp(double(-(d * d) / (2 * (0.05 * 0.05))));
nodes_to_v[node] = hpc::velocity<double>(v_x, 0.0, 0.0);
};
hpc::for_each(hpc::device_policy(), nodes, functor);
}
HPC_NOINLINE inline void
zero_v(
hpc::counting_range<node_index> const /*nodes*/,
hpc::device_array_vector<hpc::position<double>, node_index> const& /*x_vector*/,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v)
{
hpc::fill(hpc::device_policy(), *v, hpc::velocity<double>::zero());
}
HPC_NOINLINE inline void
spin_v(
hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector)
{
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = nodes_to_x[node].load();
nodes_to_v[node] = 100.0 * hpc::velocity<double>(-(double(x(1)) - 0.5), (double(x(0)) - 0.5), 0.0);
};
hpc::for_each(hpc::device_policy(), nodes, functor);
}
HPC_NOINLINE void
elastic_wave();
void
elastic_wave()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index x_boundary(1);
constexpr material_index nboundaries(1);
input in(nmaterials, nboundaries);
in.name = "elastic_wave";
in.element = BAR;
in.end_time = 4.0e-3;
in.num_file_output_periods = 200;
in.elements_along_x = 1000;
in.rho0[body] = 1000.0;
in.enable_neo_Hookean[body] = true;
in.K0[body] = 1.0e9;
in.G0[body] = 0.0;
in.initial_v = set_exponential_wave_v;
constexpr auto x_axis = hpc::vector3<double>::x_axis();
static constexpr double eps = 1.0e-10;
auto x_domain = std::make_unique<union_domain>();
x_domain->add(epsilon_around_plane_domain({x_axis, 0.0}, eps));
x_domain->add(epsilon_around_plane_domain({x_axis, in.x_domain_size}, eps));
in.domains[x_boundary] = std::move(x_domain);
in.zero_acceleration_conditions.push_back({x_boundary, x_axis});
// in.enable_nodal_pressure = true;
// in.c_tau = 0.5;
run(in);
}
HPC_NOINLINE void
gas_expansion();
void
gas_expansion()
{
constexpr material_index gas(0);
constexpr material_index nmaterials(1);
constexpr material_index nboundaries(0);
input in(nmaterials, nboundaries);
in.name = "gas_expansion";
in.element = BAR;
in.end_time = 10.0;
in.num_file_output_periods = 100;
in.elements_along_x = 160;
in.rho0[gas] = 1.0;
in.enable_ideal_gas[gas] = true;
in.gamma[gas] = 1.4;
in.e0[gas] = 1.0;
in.initial_v = zero_v;
run(in);
}
HPC_NOINLINE void
spinning_square();
void
spinning_square()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index nboundaries(0);
input in(nmaterials, nboundaries);
in.name = "spinning_square";
in.element = TRIANGLE;
in.end_time = 1.0e-2;
in.num_file_output_periods = 400;
in.elements_along_x = 1;
in.x_domain_size = 1.0;
in.elements_along_y = 1;
in.y_domain_size = 1.0;
in.rho0[body] = 1000.0;
in.enable_neo_Hookean[body] = true;
in.K0[body] = 200.0e9;
in.G0[body] = 75.0e9;
in.initial_v = spin_v;
run(in);
}
HPC_NOINLINE inline void
quadratic_in_x_v(
hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector)
{
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = nodes_to_x[node].load();
auto const norm_x = double(x(0) / 48.0);
auto const v_y = norm_x * norm_x;
nodes_to_v[node] = hpc::velocity<double>(0.0, v_y, 0.0);
};
hpc::for_each(hpc::device_policy(), nodes, functor);
}
HPC_NOINLINE inline void
Cooks_membrane_x(hpc::device_array_vector<hpc::position<double>, node_index>* x_vector)
{
hpc::counting_range<node_index> const nodes(x_vector->size());
auto const nodes_to_x = x_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const unit_x = nodes_to_x[node].load();
hpc::position<double> const new_x(
unit_x(0) * 48.0, unit_x(1) * 44.0 + unit_x(0) * 16.0 + double(unit_x(0) * (1.0 - unit_x(1)) * 28.0), 0.0);
nodes_to_x[node] = new_x;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
}
HPC_NOINLINE void
Cooks_membrane();
void
Cooks_membrane()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index x_min(1);
constexpr material_index nboundaries(1);
input in(nmaterials, nboundaries);
in.name = "Cooks_membrane";
in.element = TRIANGLE;
in.end_time = 40.0;
in.num_file_output_periods = 200;
in.elements_along_x = 8;
in.x_domain_size = 1.0;
in.elements_along_y = 8;
in.y_domain_size = 1.0;
in.rho0[body] = 1.0;
in.enable_neo_Hookean[body] = true;
in.K0[body] = 833333.0;
in.G0[body] = 83.0;
in.initial_v = quadratic_in_x_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr double eps = 1.0e-10;
auto x_min_domain = epsilon_around_plane_domain({x_axis, 0.0}, eps);
in.domains[x_min] = std::move(x_min_domain);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
in.zero_acceleration_conditions.push_back({x_min, x_axis});
in.zero_acceleration_conditions.push_back({x_min, y_axis});
in.x_transform = Cooks_membrane_x;
in.enable_nodal_pressure[body] = true;
in.c_tau[body] = 0.5;
run(in);
}
HPC_NOINLINE void
swinging_plate();
void HPC_NOINLINE
swinging_plate()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index x_min(1);
constexpr material_index x_max(2);
constexpr material_index y_min(3);
constexpr material_index y_max(4);
constexpr material_index nboundaries(4);
input in(nmaterials, nboundaries);
in.name = "swinging_plate";
in.element = TRIANGLE;
in.num_file_output_periods = 200;
in.elements_along_x = 8;
in.x_domain_size = 2.0;
in.elements_along_y = 8;
in.y_domain_size = 2.0;
double const rho = 1.1e3;
in.rho0[body] = rho;
in.enable_neo_Hookean[body] = true;
double const nu = 0.45;
double const E = 1.7e7;
double const K = E / (3.0 * (1.0 - 2.0 * nu));
double const G = E / (2.0 * (1.0 + nu));
double const w = (hpc::pi<double>() / 2.0) * std::sqrt((2.0 * G) / rho);
in.end_time = 0.16;
in.K0[body] = K;
in.G0[body] = G;
auto swinging_plate_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
double const U0 = 0.001;
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = nodes_to_x[node].load();
auto const v =
(U0 * w) *
hpc::velocity<double>(
-std::sin((hpc::pi<double>() * double(x(0))) / 2.0) * std::cos((hpc::pi<double>() * double(x(1))) / 2.0),
std::cos((hpc::pi<double>() * double(x(0))) / 2.0) * std::sin((hpc::pi<double>() * double(x(1))) / 2.0),
0.0);
nodes_to_v[node] = v;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
};
in.initial_v = swinging_plate_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
static constexpr double eps = 1.0e-10;
in.domains[x_min] = epsilon_around_plane_domain({x_axis, 0.0}, eps);
in.domains[x_max] = epsilon_around_plane_domain({x_axis, in.x_domain_size}, eps);
in.domains[y_min] = epsilon_around_plane_domain({y_axis, 0.0}, eps);
in.domains[y_max] = epsilon_around_plane_domain({y_axis, in.y_domain_size}, eps);
in.zero_acceleration_conditions.push_back({x_min, x_axis});
in.zero_acceleration_conditions.push_back({y_min, y_axis});
in.zero_acceleration_conditions.push_back({x_max, x_axis});
in.zero_acceleration_conditions.push_back({y_max, y_axis});
in.enable_nodal_pressure[body] = true;
in.c_tau[body] = 0.5;
run(in);
}
HPC_NOINLINE void
spinning_cube();
void
spinning_cube()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index nboundaries(0);
input in(nmaterials, nboundaries);
in.name = "spinning_cube";
in.element = TETRAHEDRON;
in.end_time = 1.0e-2;
in.num_file_output_periods = 400;
in.elements_along_x = 1;
in.x_domain_size = 1.0;
in.elements_along_y = 1;
in.y_domain_size = 1.0;
in.elements_along_z = 1;
in.z_domain_size = 1.0;
in.rho0[body] = 7800.0;
in.enable_neo_Hookean[body] = true;
in.K0[body] = 200.0e9;
in.G0[body] = 75.0e9;
in.initial_v = spin_v;
in.CFL = 0.9;
in.time_integrator = VELOCITY_VERLET;
run(in);
}
HPC_NOINLINE void
elastic_wave_2d();
void
elastic_wave_2d()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index x_boundary(1);
constexpr material_index y_boundary(2);
constexpr material_index nboundaries(2);
input in(nmaterials, nboundaries);
in.name = "elastic_wave_2d";
in.element = TRIANGLE;
in.end_time = 2.0e-3;
in.num_file_output_periods = 100;
in.elements_along_x = 1000;
in.elements_along_y = 1;
in.y_domain_size = 1.0e-3;
in.rho0[body] = 1000.0;
in.enable_neo_Hookean[body] = true;
in.K0[body] = 1.0e9;
in.G0[body] = 0.0;
in.initial_v = set_exponential_wave_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
static constexpr double eps = 1.0e-10;
auto x_domain = std::make_unique<union_domain>();
x_domain->add(epsilon_around_plane_domain({x_axis, 0.0}, eps));
x_domain->add(epsilon_around_plane_domain({x_axis, in.x_domain_size}, eps));
in.domains[x_boundary] = std::move(x_domain);
in.zero_acceleration_conditions.push_back({x_boundary, x_axis});
auto y_domain = std::make_unique<union_domain>();
y_domain->add(epsilon_around_plane_domain({y_axis, 0.0}, eps));
y_domain->add(epsilon_around_plane_domain({y_axis, in.y_domain_size}, eps));
in.domains[y_boundary] = std::move(y_domain);
in.zero_acceleration_conditions.push_back({y_boundary, y_axis});
run(in);
}
HPC_NOINLINE void
elastic_wave_3d();
void
elastic_wave_3d()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index x_boundary(1);
constexpr material_index y_boundary(2);
constexpr material_index z_boundary(3);
constexpr material_index nboundaries(3);
input in(nmaterials, nboundaries);
in.name = "elastic_wave_3d";
in.element = TETRAHEDRON;
in.end_time = 2.0e-3;
in.num_file_output_periods = 100;
in.elements_along_x = 1000;
in.elements_along_y = 1;
in.y_domain_size = 1.0e-3;
in.elements_along_z = 1;
in.z_domain_size = 1.0e-3;
in.rho0[body] = 1000.0;
in.enable_neo_Hookean[body] = true;
in.K0[body] = 1.0e9;
in.G0[body] = 0.0;
in.initial_v = set_exponential_wave_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
static constexpr hpc::vector3<double> z_axis(0.0, 0.0, 1.0);
static constexpr double eps = 1.0e-10;
auto x_domain = std::make_unique<union_domain>();
x_domain->add(epsilon_around_plane_domain({x_axis, 0.0}, eps));
x_domain->add(epsilon_around_plane_domain({x_axis, in.x_domain_size}, eps));
in.domains[x_boundary] = std::move(x_domain);
in.zero_acceleration_conditions.push_back({x_boundary, x_axis});
auto y_domain = std::make_unique<union_domain>();
y_domain->add(epsilon_around_plane_domain({y_axis, 0.0}, eps));
y_domain->add(epsilon_around_plane_domain({y_axis, in.y_domain_size}, eps));
in.domains[y_boundary] = std::move(y_domain);
in.zero_acceleration_conditions.push_back({y_boundary, y_axis});
auto z_domain = std::make_unique<union_domain>();
z_domain->add(epsilon_around_plane_domain({z_axis, 0.0}, eps));
z_domain->add(epsilon_around_plane_domain({z_axis, in.z_domain_size}, eps));
in.domains[z_boundary] = std::move(z_domain);
in.zero_acceleration_conditions.push_back({z_boundary, z_axis});
run(in);
}
HPC_NOINLINE void
twisting_column_ep(
double const end_time,
bool const plastic,
bool const output_to_command_line = false,
int const num_file_output_periods = -1);
void
twisting_column_ep(
double const end_time,
bool const plastic,
bool const output_to_command_line,
int const num_file_output_periods)
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index y_min(1);
constexpr material_index nboundaries(1);
input in(nmaterials, nboundaries);
in.name = "twisting_column";
if (plastic) in.name += "_ep";
in.element = TETRAHEDRON;
in.end_time = end_time;
if (num_file_output_periods == -1)
in.num_file_output_periods = static_cast<int>(end_time / .001);
else
in.num_file_output_periods = num_file_output_periods;
in.output_to_command_line = output_to_command_line;
in.elements_along_x = 9;
in.x_domain_size = 1.0;
in.elements_along_y = 54;
in.y_domain_size = 6.0;
in.elements_along_z = 9;
in.z_domain_size = 1.0;
auto const rho = hpc::density<double>(1.1e+03);
auto const nu = hpc::adimensional<double>(0.499);
auto const E = hpc::pressure<double>(17.0e06);
auto const K = hpc::pressure<double>(E / (3.0 * (1.0 - 2.0 * nu)));
auto const G = hpc::pressure<double>(E / (2.0 * (1.0 + nu)));
auto const Y0 = hpc::pressure<double>(1.0e+64);
auto const n = hpc::adimensional<double>(4.0);
auto const eps0 = hpc::strain<double>(1.0e-02);
auto const Svis0 = hpc::pressure<double>(Y0);
auto const m = hpc::adimensional<double>(2.0);
auto const eps_dot0 = hpc::strain_rate<double>(1.0e-01);
in.enable_variational_J2[body] = true;
in.rho0[body] = rho;
in.K0[body] = K;
in.G0[body] = G;
in.Y0[body] = Y0;
in.n[body] = n;
in.eps0[body] = eps0;
in.Svis0[body] = Svis0;
in.m[body] = m;
in.eps_dot0[body] = eps_dot0;
in.CFL = 1.0;
const double amplitude = 100.0;
auto twisting_column_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const pos = nodes_to_x[node].load();
auto const x = double(pos(0));
auto const y = double(pos(1));
auto const z = double(pos(2));
auto const v =
amplitude * std::sin((hpc::pi<double>() / 12.0) * y) * hpc::velocity<double>((z - 0.5), 0.0, -(x - 0.5));
nodes_to_v[node] = v;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
};
in.initial_v = twisting_column_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
static constexpr hpc::vector3<double> z_axis(0.0, 0.0, 1.0);
static constexpr double eps = 1.0e-10;
in.domains[y_min] = epsilon_around_plane_domain({y_axis, 0.0}, eps);
in.zero_acceleration_conditions.push_back({y_min, x_axis});
in.zero_acceleration_conditions.push_back({y_min, y_axis});
in.zero_acceleration_conditions.push_back({y_min, z_axis});
in.enable_nodal_pressure[body] = true;
in.c_tau[body] = 0.5;
in.CFL = 0.9;
run(in);
}
HPC_NOINLINE void
swinging_cube(bool stabilize);
void
swinging_cube(bool stabilize)
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index x_min(1);
constexpr material_index x_max(2);
constexpr material_index y_min(3);
constexpr material_index y_max(4);
constexpr material_index z_min(5);
constexpr material_index z_max(6);
constexpr material_index nboundaries(6);
input in(nmaterials, nboundaries);
if (stabilize) {
in.name = "stabilized_swinging_cube";
} else {
in.name = "swinging_cube";
}
in.element = TETRAHEDRON;
in.num_file_output_periods = 100;
in.elements_along_x = 8;
in.x_domain_size = 2.0;
in.elements_along_y = 8;
in.y_domain_size = 2.0;
in.elements_along_z = 8;
in.z_domain_size = 2.0;
double const rho = 1.1e3;
in.rho0[body] = rho;
in.enable_neo_Hookean[body] = true;
double const nu = 0.45;
double const E = 1.7e7;
double const K = E / (3.0 * (1.0 - 2.0 * nu));
double const G = E / (2.0 * (1.0 + nu));
double const w = hpc::pi<double>() * std::sqrt((3.0 * G) / (4.0 * rho));
in.end_time = 0.10;
in.K0[body] = K;
in.G0[body] = G;
auto swinging_cube_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
double const U0 = 5.0e-4;
auto functor = [=] HPC_DEVICE(node_index const node) {
constexpr double half_pi = hpc::pi<double>() / 2.0;
auto const pos = nodes_to_x[node].load();
auto const x = double(pos(0));
auto const y = double(pos(1));
auto const z = double(pos(2));
auto const v = (U0 * w) * hpc::velocity<double>(
-std::sin(half_pi * x) * std::cos(half_pi * y) * std::cos(half_pi * z),
std::cos(half_pi * x) * std::sin(half_pi * y) * std::cos(half_pi * z),
std::cos(half_pi * x) * std::cos(half_pi * y) * std::sin(half_pi * z));
nodes_to_v[node] = v;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
};
in.initial_v = swinging_cube_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
static constexpr hpc::vector3<double> z_axis(0.0, 0.0, 1.0);
static constexpr double eps = 1.0e-10;
in.domains[x_min] = epsilon_around_plane_domain({x_axis, 0.0}, eps);
in.domains[x_max] = epsilon_around_plane_domain({x_axis, in.x_domain_size}, eps);
in.domains[y_min] = epsilon_around_plane_domain({y_axis, 0.0}, eps);
in.domains[y_max] = epsilon_around_plane_domain({y_axis, in.y_domain_size}, eps);
in.domains[z_min] = epsilon_around_plane_domain({z_axis, 0.0}, eps);
in.domains[z_max] = epsilon_around_plane_domain({z_axis, in.z_domain_size}, eps);
in.zero_acceleration_conditions.push_back({x_min, x_axis});
in.zero_acceleration_conditions.push_back({x_max, x_axis});
in.zero_acceleration_conditions.push_back({y_min, y_axis});
in.zero_acceleration_conditions.push_back({y_max, y_axis});
in.zero_acceleration_conditions.push_back({z_min, z_axis});
in.zero_acceleration_conditions.push_back({z_max, z_axis});
in.enable_nodal_pressure[body] = stabilize;
in.c_tau[body] = 0.5;
in.CFL = 0.45;
run(in);
}
HPC_NOINLINE void
twisting_column();
void
twisting_column()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index y_min(1);
constexpr material_index nboundaries(1);
input in(nmaterials, nboundaries);
in.name = "twisting_column";
in.element = TETRAHEDRON;
in.end_time = 0.1;
in.num_file_output_periods = 100;
in.elements_along_x = 3;
in.x_domain_size = 1.0;
in.elements_along_y = 18;
in.y_domain_size = 6.0;
in.elements_along_z = 3;
in.z_domain_size = 1.0;
double const rho = 1.1e3;
in.rho0[body] = rho;
in.enable_neo_Hookean[body] = true;
double const nu = 0.499;
double const E = 1.7e7;
double const K = E / (3.0 * (1.0 - 2.0 * nu));
double const G = E / (2.0 * (1.0 + nu));
in.K0[body] = K;
in.G0[body] = G;
auto twisting_column_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const pos = nodes_to_x[node].load();
auto const x = double(pos(0));
auto const y = double(pos(1));
auto const z = double(pos(2));
auto const v =
100.0 * std::sin((hpc::pi<double>() / 12.0) * y) * hpc::velocity<double>((z - 0.5), 0.0, -(x - 0.5));
nodes_to_v[node] = v;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
};
in.initial_v = twisting_column_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
static constexpr hpc::vector3<double> z_axis(0.0, 0.0, 1.0);
static constexpr double eps = 1.0e-10;
in.domains[y_min] = epsilon_around_plane_domain({y_axis, 0.0}, eps);
in.zero_acceleration_conditions.push_back({y_min, x_axis});
in.zero_acceleration_conditions.push_back({y_min, y_axis});
in.zero_acceleration_conditions.push_back({y_min, z_axis});
in.enable_nodal_pressure[body] = false;
in.c_tau[body] = 0.5;
in.CFL = 0.9;
run(in);
}
HPC_NOINLINE void
Noh_1D();
void
Noh_1D()
{
constexpr material_index gas(0);
constexpr material_index nmaterials(1);
constexpr material_index x_min(1);
constexpr material_index nboundaries(1);
input in(nmaterials, nboundaries);
in.name = "Noh_1D";
in.element = BAR;
in.end_time = 0.6;
in.num_file_output_periods = 60;
in.elements_along_x = 44;
in.x_domain_size = 1.1;
in.rho0[gas] = 1.0;
in.enable_ideal_gas[gas] = true;
in.gamma[gas] = 5.0 / 3.0;
in.e0[gas] = 1.0e-4;
auto inward_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = nodes_to_x[node].load();
auto const n = norm(x);
auto const v = (n == 0.0) ? hpc::velocity<double>::zero() : hpc::velocity<double>(-(x / n));
nodes_to_v[node] = v;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
};
in.initial_v = inward_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr double eps = 1.0e-10;
in.domains[x_min] = epsilon_around_plane_domain({x_axis, 0.0}, eps);
in.zero_acceleration_conditions.push_back({x_min, x_axis});
in.enable_viscosity = true;
in.linear_artificial_viscosity = 1.0;
in.quadratic_artificial_viscosity = 1.0;
in.enable_nodal_energy[gas] = false;
in.c_tau[gas] = 0.0;
in.CFL = 0.9;
run(in);
}
HPC_NOINLINE inline void
Noh_2D(bool nodal_energy, bool p_prime)
{
constexpr material_index gas(0);
constexpr material_index nmaterials(1);
constexpr material_index x_min(1);
constexpr material_index y_min(2);
constexpr material_index nboundaries(2);
input in(nmaterials, nboundaries);
if (nodal_energy) {
if (p_prime) {
in.name = "Noh_2D_p_h_p_prime";
} else {
in.name = "Noh_2D_p_h";
}
} else {
in.name = "Noh_2D";
}
in.element = TRIANGLE;
in.end_time = 0.6;
in.num_file_output_periods = 60;
in.elements_along_x = 34;
in.x_domain_size = 0.85;
in.elements_along_y = 34;
in.y_domain_size = 0.85;
in.rho0[gas] = 1.0;
in.enable_ideal_gas[gas] = true;
in.gamma[gas] = 5.0 / 3.0;
in.e0[gas] = 1.0e-14;
auto inward_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = nodes_to_x[node].load();
auto const n = norm(x);
auto const v = (n == 0.0) ? hpc::velocity<double>::zero() : hpc::velocity<double>(-(x / n));
nodes_to_v[node] = v;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
};
in.initial_v = inward_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
static constexpr double eps = 1.0e-10;
in.domains[x_min] = epsilon_around_plane_domain({x_axis, 0.0}, eps);
in.domains[y_min] = epsilon_around_plane_domain({y_axis, 0.0}, eps);
in.zero_acceleration_conditions.push_back({x_min, x_axis});
in.zero_acceleration_conditions.push_back({y_min, y_axis});
in.enable_viscosity = true;
in.linear_artificial_viscosity = 1.0;
in.quadratic_artificial_viscosity = 0.5;
in.enable_nodal_energy[gas] = nodal_energy;
in.enable_p_prime[gas] = p_prime;
in.c_tau[gas] = 1.0;
run(in);
}
HPC_NOINLINE void
spinning_composite_cube();
void
spinning_composite_cube()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index nboundaries(0);
input in(nmaterials, nboundaries);
in.name = "spinning_composite_cube";
in.element = COMPOSITE_TETRAHEDRON;
in.end_time = 1.0e-2;
in.num_file_output_periods = 400;
in.elements_along_x = 1;
in.x_domain_size = 1.0;
in.elements_along_y = 1;
in.y_domain_size = 1.0;
in.elements_along_z = 1;
in.z_domain_size = 1.0;
in.rho0[body] = 7800.0;
in.enable_neo_Hookean[body] = true;
in.K0[body] = 200.0e9;
in.G0[body] = 75.0e9;
in.initial_v = spin_v;
in.CFL = 0.9;
in.time_integrator = VELOCITY_VERLET;
run(in);
}
HPC_NOINLINE void
twisting_composite_column();
void
twisting_composite_column()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index y_min(1);
constexpr material_index nboundaries(1);
input in(nmaterials, nboundaries);
in.name = "twisting_composite_column";
in.element = COMPOSITE_TETRAHEDRON;
in.end_time = 0.1;
in.num_file_output_periods = 100;
in.elements_along_x = 3;
in.x_domain_size = 1.0;
in.elements_along_y = 18;
in.y_domain_size = 6.0;
in.elements_along_z = 3;
in.z_domain_size = 1.0;
double const rho = 1.1e3;
in.rho0[body] = rho;
in.enable_neo_Hookean[body] = true;
double const nu = 0.499;
double const E = 1.7e7;
double const K = E / (3.0 * (1.0 - 2.0 * nu));
double const G = E / (2.0 * (1.0 + nu));
in.K0[body] = K;
in.G0[body] = G;
auto twisting_column_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = hpc::vector3<double>(nodes_to_x[node].load());
auto const v =
100.0 * std::sin((hpc::pi<double>() / 12.0) * x(1)) * hpc::velocity<double>((x(2) - 0.5), 0.0, -(x(0) - 0.5));
nodes_to_v[node] = v;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
};
in.initial_v = twisting_column_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
static constexpr hpc::vector3<double> z_axis(0.0, 0.0, 1.0);
static constexpr double eps = 1.0e-10;
in.domains[y_min] = epsilon_around_plane_domain({y_axis, 0.0}, eps);
in.zero_acceleration_conditions.push_back({y_min, x_axis});
in.zero_acceleration_conditions.push_back({y_min, y_axis});
in.zero_acceleration_conditions.push_back({y_min, z_axis});
in.enable_J_averaging = true;
in.CFL = 0.9;
run(in);
}
HPC_NOINLINE void
twisting_composite_column_J2();
void
twisting_composite_column_J2()
{
constexpr material_index body(0);
constexpr material_index nmaterials(1);
constexpr material_index y_min(1);
constexpr material_index nboundaries(1);
input in(nmaterials, nboundaries);
in.name = "twisting_composite_column J2 plasticity";
in.element = COMPOSITE_TETRAHEDRON;
in.end_time = 0.1;
in.num_file_output_periods = 1000;
in.elements_along_x = 3;
in.x_domain_size = 1.0;
in.elements_along_y = 18;
in.y_domain_size = 6.0;
in.elements_along_z = 3;
in.z_domain_size = 1.0;
double const rho{7.8e+03};
double const nu{0.25};
double const E{200.0e09};
double const K{E / (3.0 * (1.0 - 2.0 * nu))};
double const G{E / (2.0 * (1.0 + nu))};
double const Y0{1.0e+09};
double const n{4.0};
double const eps0{1e-2};
double const Svis0{Y0};
double const m{2.0};
double const eps_dot0{1e-1};
in.enable_variational_J2[body] = true;
in.rho0[body] = rho;
in.K0[body] = K;
in.G0[body] = G;
in.Y0[body] = Y0;
in.n[body] = n;
in.eps0[body] = eps0;
in.Svis0[body] = Svis0;
in.m[body] = m;
in.eps_dot0[body] = eps_dot0;
auto twisting_column_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = hpc::vector3<double>(nodes_to_x[node].load());
auto const v =
100.0 * std::sin((hpc::pi<double>() / 12.0) * x(1)) * hpc::velocity<double>((x(2) - 0.5), 0.0, -(x(0) - 0.5));
nodes_to_v[node] = v;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
};
in.initial_v = twisting_column_v;
static constexpr hpc::vector3<double> x_axis(1.0, 0.0, 0.0);
static constexpr hpc::vector3<double> y_axis(0.0, 1.0, 0.0);
static constexpr hpc::vector3<double> z_axis(0.0, 0.0, 1.0);
static constexpr double eps = 1.0e-10;
in.domains[y_min] = epsilon_around_plane_domain({y_axis, 0.0}, eps);
in.zero_acceleration_conditions.push_back({y_min, x_axis});
in.zero_acceleration_conditions.push_back({y_min, y_axis});
in.zero_acceleration_conditions.push_back({y_min, z_axis});
in.enable_J_averaging = true;
in.CFL = 0.05;
run(in);
}
HPC_NOINLINE void
flyer_target_stabilized_tet();
void
flyer_target_stabilized_tet()
{
constexpr material_index num_materials(2);
constexpr material_index num_boundaries(0);
constexpr material_index flyer(0);
constexpr material_index target(1);
input in(num_materials, num_boundaries);
std::string const filename{"flyer-target.g"};
auto const flyer_radius = 0.2 * 0.0254;
auto const eps = flyer_radius / 100.0;
auto flyer_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = hpc::vector3<double>(nodes_to_x[node].load());
auto const pos = x(2);
auto const r = sqrt(x(0) * x(0) + x(1) * x(1));
auto const is_flyer = r <= flyer_radius + eps && pos <= eps;
auto const s = is_flyer == true ? 2200.0 : 0.0;
auto v = hpc::velocity<double>(0.0, 0.0, s);
nodes_to_v[node] = v;
};
hpc::for_each(hpc::device_policy(), nodes, functor);
};
auto const rho = hpc::density<double>(8.93e+03);
auto const nu = hpc::adimensional<double>(0.343);
auto const E = hpc::pressure<double>(130.6e09);
auto const K = hpc::pressure<double>(E / (3.0 * (1.0 - 2.0 * nu)));
auto const G = hpc::pressure<double>(E / (2.0 * (1.0 + nu)));
auto const Y0 = hpc::pressure<double>(89.7e+06);
auto const n = hpc::adimensional<double>(32.0);
auto const H0 = hpc::pressure<double>(100.0e6);
auto const eps0 = hpc::strain<double>(Y0 / H0);
auto const Svis0 = hpc::pressure<double>(0.0);
auto const m = hpc::adimensional<double>(1.0);
auto const eps_dot0 = hpc::strain_rate<double>(1.0e-01);
auto const gamma = hpc::adimensional<double>(1.99);
auto const s = hpc::adimensional<double>(1.489);
auto const e0 = hpc::specific_energy<double>(0.0);
in.initial_v = flyer_v;
in.name = "flyer-target";
in.CFL = 0.1;
in.element = TETRAHEDRON;
in.end_time = 2.5e-06;
in.num_file_output_periods = 250;
in.enable_J_averaging = false;
in.enable_p_averaging = false;
in.enable_viscosity = true;
in.linear_artificial_viscosity = 0.5;
in.quadratic_artificial_viscosity = 2.0;
in.enable_adapt = false;
in.enable_nodal_energy[flyer] = true;
in.enable_Mie_Gruneisen_eos[flyer] = true;
in.enable_p_prime[flyer] = false;
in.enable_nodal_pressure[flyer] = true;
in.use_global_tau[flyer] = true;
in.c_tau[flyer] = 0.0;
in.c_v[flyer] = 0.0;
in.c_p[flyer] = 0.0;
in.enable_variational_J2[flyer] = true;
in.rho0[flyer] = rho;
in.K0[flyer] = K;
in.G0[flyer] = G;
in.Y0[flyer] = Y0;
in.n[flyer] = n;
in.eps0[flyer] = eps0;
in.Svis0[flyer] = Svis0;
in.m[flyer] = m;
in.eps_dot0[flyer] = eps_dot0;
in.gamma[flyer] = gamma;
in.s[flyer] = s;
in.e0[flyer] = e0;
in.enable_nodal_energy[target] = true;
in.enable_Mie_Gruneisen_eos[target] = true;
in.enable_p_prime[target] = false;
in.enable_nodal_pressure[target] = true;
in.use_global_tau[target] = true;
in.c_tau[target] = 0.0;
in.c_v[target] = 0.0;
in.c_p[target] = 0.0;
in.enable_variational_J2[target] = true;
in.rho0[target] = rho;
in.K0[target] = K;
in.G0[target] = G;
in.Y0[target] = Y0;
in.n[target] = n;
in.eps0[target] = eps0;
in.Svis0[target] = Svis0;
in.m[target] = m;
in.eps_dot0[target] = eps_dot0;
in.gamma[target] = gamma;
in.s[target] = s;
in.e0[target] = e0;
run(in, filename);
}
HPC_NOINLINE void
flyer_target_composite_tet();
void
flyer_target_composite_tet()
{
constexpr material_index flyer(0);
constexpr material_index target(1);
constexpr material_index num_materials(2);
constexpr material_index num_boundaries(0);
input in(num_materials, num_boundaries);
std::string const filename{"flyer-target.g"};
auto const flyer_radius = 0.2 * 0.0254;
auto const eps = flyer_radius / 1000.0;
auto flyer_v = [=](hpc::counting_range<node_index> const nodes,
hpc::device_array_vector<hpc::position<double>, node_index> const& x_vector,
hpc::device_array_vector<hpc::velocity<double>, node_index>* v_vector) {
auto const nodes_to_x = x_vector.cbegin();
auto const nodes_to_v = v_vector->begin();
auto functor = [=] HPC_DEVICE(node_index const node) {
auto const x = hpc::vector3<double>(nodes_to_x[node].load());
auto const r = std::sqrt(x(0) * x(0) + x(1) * x(1));
auto v = hpc::velocity<double>(0.0, 0.0, 0.0);
if (r < flyer_radius + eps) {
if (x(2) < -eps) v(2) = 2200.0;