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test_model_solver_my_model.hh
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/**
* @file test_model_solver_my_model.hh
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Wed Apr 13 2016
* @date last modification: Fri Jun 26 2020
*
* @brief Test default dof manager
*
*
* @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 "aka_iterators.hh"
#include "boundary_condition.hh"
#include "communicator.hh"
#include "data_accessor.hh"
#include "dof_manager_default.hh"
#include "element_synchronizer.hh"
#include "mesh.hh"
#include "model_solver.hh"
#include "periodic_node_synchronizer.hh"
#include "solver_vector_default.hh"
#include "sparse_matrix.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
#ifndef AKANTU_TEST_MODEL_SOLVER_MY_MODEL_HH_
#define AKANTU_TEST_MODEL_SOLVER_MY_MODEL_HH_
/**
* =\o-----o-----o-> F
* | |
* |---- L ----|
*/
class MyModel : public ModelSolver,
public BoundaryCondition<MyModel>,
public DataAccessor<Element> {
public:
MyModel(Real F, Mesh & mesh, bool lumped,
const ID & dof_manager_type = "default")
: ModelSolver(mesh, ModelType::_model, "model_solver"),
nb_dofs(mesh.getNbNodes()), nb_elements(mesh.getNbElement(_segment_2)),
lumped(lumped), E(1.), A(1.), rho(1.), mesh(mesh),
displacement(nb_dofs, 1, "disp"), velocity(nb_dofs, 1, "velo"),
acceleration(nb_dofs, 1, "accel"), blocked(nb_dofs, 1, "blocked"),
forces(nb_dofs, 1, "force_ext"),
internal_forces(nb_dofs, 1, "force_int"),
stresses(nb_elements, 1, "stress"), strains(nb_elements, 1, "strain"),
initial_lengths(nb_elements, 1, "L0") {
this->initDOFManager(dof_manager_type);
this->initBC(*this, displacement, forces);
this->getDOFManager().registerDOFs("disp", displacement, _dst_nodal);
this->getDOFManager().registerDOFsDerivative("disp", 1, velocity);
this->getDOFManager().registerDOFsDerivative("disp", 2, acceleration);
this->getDOFManager().registerBlockedDOFs("disp", blocked);
displacement.set(0.);
velocity.set(0.);
acceleration.set(0.);
forces.set(0.);
blocked.set(false);
Int global_nb_nodes = mesh.getNbGlobalNodes();
for (auto && n : arange(nb_dofs)) {
auto global_id = mesh.getNodeGlobalId(n);
if (global_id == (global_nb_nodes - 1))
forces(n, _x) = F;
if (global_id == 0)
blocked(n, _x) = true;
}
auto cit = this->mesh.getConnectivity(_segment_2).begin(2);
auto cend = this->mesh.getConnectivity(_segment_2).end(2);
auto L_it = this->initial_lengths.begin();
for (; cit != cend; ++cit, ++L_it) {
auto && conn = *cit;
auto n1 = conn(0);
auto n2 = conn(1);
auto p1 = this->mesh.getNodes()(n1, _x);
auto p2 = this->mesh.getNodes()(n2, _x);
*L_it = std::abs(p2 - p1);
}
this->registerDataAccessor(*this);
this->registerSynchronizer(
const_cast<ElementSynchronizer &>(this->mesh.getElementSynchronizer()),
SynchronizationTag::_user_1);
}
void assembleLumpedMass() {
auto & M = this->getDOFManager().getLumpedMatrix("M");
M.zero();
this->assembleLumpedMass(_not_ghost);
if (this->mesh.getNbElement(_segment_2, _ghost) > 0)
this->assembleLumpedMass(_ghost);
is_lumped_mass_assembled = true;
}
void assembleLumpedMass(GhostType ghost_type) {
Array<Real> M(nb_dofs, 1, 0.);
Array<Real> m_all_el(this->mesh.getNbElement(_segment_2, ghost_type), 2);
for (auto && data :
zip(make_view(this->mesh.getConnectivity(_segment_2), 2),
make_view(m_all_el, 2))) {
const auto & conn = std::get<0>(data);
auto & m_el = std::get<1>(data);
Int n1 = conn(0);
Int n2 = conn(1);
Real p1 = this->mesh.getNodes()(n1, _x);
Real p2 = this->mesh.getNodes()(n2, _x);
Real L = std::abs(p2 - p1);
Real M_n = rho * A * L / 2;
m_el(0) = m_el(1) = M_n;
}
this->getDOFManager().assembleElementalArrayLocalArray(
m_all_el, M, _segment_2, ghost_type);
this->getDOFManager().assembleToLumpedMatrix("disp", M, "M");
}
void assembleMass() {
SparseMatrix & M = this->getDOFManager().getMatrix("M");
M.zero();
Array<Real> m_all_el(this->nb_elements, 4);
Matrix<Real> m(2, 2);
m(0, 0) = m(1, 1) = 2;
m(0, 1) = m(1, 0) = 1;
// under integrated
// m(0, 0) = m(1, 1) = 3./2.;
// m(0, 1) = m(1, 0) = 3./2.;
// lumping the mass matrix
// m(0, 0) += m(0, 1);
// m(1, 1) += m(1, 0);
// m(0, 1) = m(1, 0) = 0;
for (auto && data :
zip(make_view(this->mesh.getConnectivity(_segment_2), 2),
make_view(m_all_el, 2, 2))) {
const auto & conn = std::get<0>(data);
auto & m_el = std::get<1>(data);
Int n1 = conn(0);
Int n2 = conn(1);
Real p1 = this->mesh.getNodes()(n1, _x);
Real p2 = this->mesh.getNodes()(n2, _x);
Real L = std::abs(p2 - p1);
m_el = m;
m_el *= rho * A * L / 6.;
}
this->getDOFManager().assembleElementalMatricesToMatrix(
"M", "disp", m_all_el, _segment_2);
is_mass_assembled = true;
}
MatrixType getMatrixType(const ID & id) const override {
if (id == "C") {
return _mt_not_defined;
}
return _symmetric;
}
void assembleMatrix(const ID & matrix_id) override {
if (matrix_id == "K") {
if (not is_stiffness_assembled)
this->assembleStiffness();
} else if (matrix_id == "M") {
if (not is_mass_assembled)
this->assembleMass();
} else if (matrix_id == "C") {
// pass, no damping matrix
} else {
AKANTU_EXCEPTION("This solver does not know what to do with a matrix "
<< matrix_id);
}
}
void assembleLumpedMatrix(const ID & matrix_id) override {
if (matrix_id == "M") {
if (not is_lumped_mass_assembled)
this->assembleLumpedMass();
} else {
AKANTU_EXCEPTION("This solver does not know what to do with a matrix "
<< matrix_id);
}
}
void assembleStiffness() {
SparseMatrix & K = this->getDOFManager().getMatrix("K");
K.zero();
Matrix<Real> k(2, 2);
k(0, 0) = k(1, 1) = 1;
k(0, 1) = k(1, 0) = -1;
Array<Real> k_all_el(this->nb_elements, 4);
auto k_it = k_all_el.begin(2, 2);
auto cit = this->mesh.getConnectivity(_segment_2).begin(2);
auto cend = this->mesh.getConnectivity(_segment_2).end(2);
for (; cit != cend; ++cit, ++k_it) {
const auto & conn = *cit;
auto n1 = conn(0);
auto n2 = conn(1);
auto p1 = this->mesh.getNodes()(n1, _x);
auto p2 = this->mesh.getNodes()(n2, _x);
auto L = std::abs(p2 - p1);
auto & k_el = *k_it;
k_el = k;
k_el *= E * A / L;
}
this->getDOFManager().assembleElementalMatricesToMatrix(
"K", "disp", k_all_el, _segment_2);
is_stiffness_assembled = true;
}
void assembleResidual() override {
this->getDOFManager().assembleToResidual("disp", forces);
internal_forces.zero();
this->assembleResidualInternal(_not_ghost);
this->synchronize(SynchronizationTag::_user_1);
this->getDOFManager().assembleToResidual("disp", internal_forces, -1.);
}
void assembleResidualInternal(GhostType ghost_type) {
Array<Real> forces_internal_el(
this->mesh.getNbElement(_segment_2, ghost_type), 2);
const auto & connectivity =
this->mesh.getConnectivity(_segment_2, ghost_type);
for (auto && data :
zip(make_view<2>(connectivity), strains, stresses, initial_lengths,
make_view<2>(forces_internal_el))) {
const auto & conn = std::get<0>(data);
auto n1 = conn(0);
auto n2 = conn(1);
auto u1 = this->displacement(n1, _x);
auto u2 = this->displacement(n2, _x);
auto & strain = std::get<1>(data);
auto & stress = std::get<2>(data);
const auto & L = std::get<3>(data);
strain = (u2 - u1) / L;
stress = E * strain;
auto f_n = A * stress;
auto & f = std::get<4>(data);
f(0) = -f_n;
f(1) = f_n;
}
this->getDOFManager().assembleElementalArrayLocalArray(
forces_internal_el, internal_forces, _segment_2, ghost_type);
}
Real getPotentialEnergy() {
Real res = 0;
if (not lumped) {
res = this->mulVectMatVect(this->displacement, "K", this->displacement);
} else {
for (auto && data : zip(strains, stresses, initial_lengths)) {
auto & strain = std::get<0>(data);
auto & stress = std::get<1>(data);
const auto & L = std::get<2>(data);
res += strain * stress * A * L;
}
mesh.getCommunicator().allReduce(res, SynchronizerOperation::_sum);
}
return res / 2.;
}
Real getKineticEnergy() {
Real res = 0;
if (not lumped) {
res = this->mulVectMatVect(this->velocity, "M", this->velocity);
} else {
Array<Real> & m = dynamic_cast<SolverVectorDefault &>(
this->getDOFManager().getLumpedMatrix("M"));
auto it = velocity.begin();
auto end = velocity.end();
auto m_it = m.begin();
for (Int node = 0; it != end; ++it, ++m_it, ++node) {
if (mesh.isLocalOrMasterNode(node))
res += *m_it * *it * *it;
}
mesh.getCommunicator().allReduce(res, SynchronizerOperation::_sum);
}
return res / 2.;
}
Real getExternalWorkIncrement() {
Real res = 0;
auto it = velocity.begin();
auto end = velocity.end();
auto if_it = internal_forces.begin();
auto ef_it = forces.begin();
auto b_it = blocked.begin();
for (Int node = 0; it != end; ++it, ++if_it, ++ef_it, ++b_it, ++node) {
if (mesh.isLocalOrMasterNode(node))
res += (*b_it ? -*if_it : *ef_it) * *it;
}
mesh.getCommunicator().allReduce(res, SynchronizerOperation::_sum);
return res * this->getTimeStep();
}
Real mulVectMatVect(const Array<Real> & x, const ID & A_id,
const Array<Real> & y) {
Array<Real> Ay(nb_dofs);
this->getDOFManager().assembleMatMulVectToArray("disp", A_id, y, Ay);
Real res = 0.;
for (auto && data : zip(arange(nb_dofs), make_view(Ay), make_view(x))) {
res += std::get<2>(data) * std::get<1>(data) *
mesh.isLocalOrMasterNode(std::get<0>(data));
}
mesh.getCommunicator().allReduce(res, SynchronizerOperation::_sum);
return res;
}
/* ------------------------------------------------------------------------ */
Int getNbData(const Array<Element> & elements,
const SynchronizationTag &) const override {
return elements.size() * sizeof(Real);
}
void packData(CommunicationBuffer & buffer, const Array<Element> & elements,
const SynchronizationTag & tag) const override {
if (tag == SynchronizationTag::_user_1) {
for (const auto & el : elements) {
buffer << this->stresses(el.element);
}
}
}
void unpackData(CommunicationBuffer & buffer, const Array<Element> & elements,
const SynchronizationTag & tag) override {
if (tag == SynchronizationTag::_user_1) {
auto cit = this->mesh.getConnectivity(_segment_2, _ghost).begin(2);
for (const auto & el : elements) {
Real stress;
buffer >> stress;
Real f = A * stress;
auto && conn = cit[el.element];
this->internal_forces(conn(0), _x) += -f;
this->internal_forces(conn(1), _x) += f;
}
}
}
const Mesh & getMesh() const { return mesh; }
Int getSpatialDimension() const { return 1; }
auto & getBlockedDOFs() { return blocked; }
private:
Int nb_dofs;
Int nb_elements;
bool lumped;
bool is_stiffness_assembled{false};
bool is_mass_assembled{false};
bool is_lumped_mass_assembled{false};
public:
Real E, A, rho;
Mesh & mesh;
Array<Real> displacement;
Array<Real> velocity;
Array<Real> acceleration;
Array<bool> blocked;
Array<Real> forces;
Array<Real> internal_forces;
Array<Real> stresses;
Array<Real> strains;
Array<Real> initial_lengths;
};
#endif /* AKANTU_TEST_MODEL_SOLVER_MY_MODEL_HH_ */
} // namespace akantu
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