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rAKA/test/test_model/test_solid_mechanics_model/test_energies/test_solid_mechanics_model_kinetic_energy.cc
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/**
* Copyright (©) 2017-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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/>.
* @section description
*
* This test uses a linear elastic material with density = 1, Young's modulus =
* 1, and Poisson's ratio = 0 and imposes a uniform velocity of 1. The volume of
* the mesh is 1 and thus we have a mass of 1 and therefore a kinetic energy of
* 0.5*m*v² = 0.5. The kind of constitutive law should not matter for this test,
* so we use linear elastic. We perform 5 timesteps and check the solution every
* time.
*
*/
/* -------------------------------------------------------------------------- */
#include "../test_solid_mechanics_model_fixture.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
namespace {
void test_body(SolidMechanicsModel & model, AnalysisMethod analysis_method) {
const auto spatial_dimension = model.getSpatialDimension();
getStaticParser().parse("test_solid_mechanics_model_"
"kinetic_energy_material.dat");
model.initFull(_analysis_method = analysis_method);
model.assembleMassLumped();
/// impose initial velocity of 1, it should remain constant
auto & velo = model.getVelocity();
for (auto && velov : make_view(velo, spatial_dimension)) {
velov(_x) = 1;
}
/// set up timestep
auto time_step = model.getStableTimeStep() * 0.8;
model.setTimeStep(time_step);
/// run five times and look at the kinetic energy
for (uint i = 0; i < 5; ++i) {
/// make a step
model.solveStep();
/// compare energy to analytical solution
const Real E_ref = 0.5;
auto E_kin = model.getEnergy("kinetic");
EXPECT_NEAR(E_ref, E_kin, 1e-8);
}
}
TYPED_TEST(TestSMMFixture, KineticEnergyImplicit) {
test_body(*(this->model), _implicit_dynamic);
}
TYPED_TEST(TestSMMFixture, KineticEnergyExplicit) {
test_body(*(this->model), _explicit_lumped_mass);
}
} // namespace
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