void FunctionHeadToElementVelocity<T>::finalizeTimeStep(const NumLib::TimeStep &time)
{
//std::cout << "Velocity=" << std::endl;
//_vel->printout();
//update data for output
Ogs6FemData* femData = Ogs6FemData::getInstance();
OutputVariableInfo var(this->getOutputParameterName(Velocity), _dis->getMesh()->getID(), OutputVariableInfo::Element, OutputVariableInfo::Real, 3, _vel);
femData->outController.setOutput(var.name, var);
_tim->finalize(time.getTime());
};
void FemPoroelasticResidualLocalAssembler::assembleComponents
( const NumLib::TimeStep ×tep,
const MeshLib::IElement &e,
const std::vector<size_t> &vec_order,
const std::vector<LocalVectorType> &vec_x0,
const std::vector<LocalVectorType> &vec_x1,
std::vector<LocalVectorType> &vec_r
)
{
assert(vec_order.size()==3);
//TODO how do you know 1st is ux and 3rd is p? who decides it?
const size_t id_ux = 0;
const size_t id_uy = 1;
const size_t id_p = 2;
const size_t u_order = vec_order[id_ux];
assert(u_order==vec_order[id_uy]);
const size_t p_order = vec_order[id_p];
const LocalVectorType &ux0 = vec_x0[id_ux];
const LocalVectorType &uy0 = vec_x0[id_uy];
const LocalVectorType &ux1 = vec_x1[id_ux];
const LocalVectorType &uy1 = vec_x1[id_uy];
// combine ux and uy
LocalVectorType u0(ux0.rows()*2);
LocalVectorType u1(ux0.rows()*2);
for (int i=0; i<ux0.rows(); i++) {
u0(i) = ux0(i);
u0(i+ux0.rows()) = uy0(i);
u1(i) = ux1(i);
u1(i+ux0.rows()) = uy1(i);
}
const LocalVectorType &p0 = vec_x0[id_p];
const LocalVectorType &p1 = vec_x1[id_p];
// ------------------------------------------------------------------------
// Element
// ------------------------------------------------------------------------
const size_t dim = e.getDimension();
const size_t n_strain_components = getNumberOfStrainComponents(dim);
const size_t nnodes_u = e.getNumberOfNodes(u_order);
const size_t nnodes_p = e.getNumberOfNodes(p_order);
const NumLib::TXPosition e_pos(NumLib::TXPosition::Element, e.getID());
// ------------------------------------------------------------------------
// Transient
// ------------------------------------------------------------------------
const double dt = timestep.getTimeStepSize();
const double theta = 1.0;
// ------------------------------------------------------------------------
// Material (assuming element constant)
// ------------------------------------------------------------------------
size_t mat_id = e.getGroupID();
size_t fluid_id = 0; //TODO
Ogs6FemData* femData = Ogs6FemData::getInstance();
MaterialLib::PorousMedia* pm = femData->list_pm[mat_id];
MaterialLib::Solid *solidphase = femData->list_solid[mat_id];
MaterialLib::Fluid *fluidphase = femData->list_fluid[fluid_id];
// solid
double rho_s = .0;
if (solidphase->density!=NULL)
solidphase->density->eval(e_pos, rho_s);
LocalMatrixType De = LocalMatrixType::Zero(n_strain_components, n_strain_components);
MathLib::LocalMatrix nv(1,1);
MathLib::LocalMatrix E(1,1);
solidphase->poisson_ratio->eval(e_pos, nv);
solidphase->Youngs_modulus->eval(e_pos, E);
double Lambda, G, K;
MaterialLib::calculateLameConstant(nv(0,0), E(0,0), Lambda, G, K);
MaterialLib::setElasticConsitutiveTensor(dim, Lambda, G, De);
// fluid
double mu = .0;
fluidphase->dynamic_viscosity->eval(e_pos, mu);
double rho_f = .0;
fluidphase->density->eval(e_pos, rho_f);
// media
double k;
pm->permeability->eval(e_pos, k);
double n = .0;
pm->porosity->eval(e_pos, n);
double s = .0;
pm->storage->eval(e_pos, s);
double k_mu;
k_mu = k / mu;
// ------------------------------------------------------------------------
// Body force
// ------------------------------------------------------------------------
LocalVectorType body_force = LocalVectorType::Zero(dim);
bool hasGravity = false;
if (hasGravity) {
body_force[dim-1] = rho_s * 9.81;
}
// ------------------------------------------------------------------------
// Local component assembly
// ------------------------------------------------------------------------
LocalMatrixType Kuu = LocalMatrixType::Zero(nnodes_u*dim, nnodes_u*dim);
LocalMatrixType Cup = LocalMatrixType::Zero(nnodes_u*dim, nnodes_p);
LocalMatrixType Kpp = LocalMatrixType::Zero(nnodes_p, nnodes_p);
LocalMatrixType Mpp = LocalMatrixType::Zero(nnodes_p, nnodes_p);
LocalMatrixType Cpu = LocalMatrixType::Zero(nnodes_p, nnodes_u*dim);
LocalVectorType Fu = LocalVectorType::Zero(nnodes_u*dim);
LocalVectorType Fp = LocalVectorType::Zero(nnodes_p);
// temp matrix
LocalMatrixType B = LocalMatrixType::Zero(n_strain_components, nnodes_u*dim);
LocalMatrixType Nuvw = LocalMatrixType::Zero(dim, nnodes_u*dim);
const LocalMatrixType m = get_m(dim);
//
FemLib::IFiniteElement* fe_u = _feObjects.getFeObject(e, u_order);
FemLib::IFiniteElement* fe_p = _feObjects.getFeObject(e, p_order);
FemLib::IFemNumericalIntegration *q_u = fe_u->getIntegrationMethod();
double gp_x[3], real_x[3];
for (size_t j=0; j<q_u->getNumberOfSamplingPoints(); j++) {
q_u->getSamplingPoint(j, gp_x);
fe_u->computeBasisFunctions(gp_x);
fe_p->computeBasisFunctions(gp_x);
fe_u->getRealCoordinates(real_x);
double fac_u = fe_u->getDetJ() * q_u->getWeight(j);
//--- local component ----
// set N,B
LocalMatrixType &Nu = *fe_u->getBasisFunction();
LocalMatrixType &dNu = *fe_u->getGradBasisFunction();
setNu_Matrix_byComponent(dim, nnodes_u, Nu, Nuvw);
setB_Matrix_byComponent(dim, nnodes_u, dNu, B);
LocalMatrixType &Np = *fe_p->getBasisFunction();
// K_uu += B^T * D * B
Kuu.noalias() += fac_u * B.transpose() * De * B;
// C_up += B^T * m * Np
Cup.noalias() += fac_u * B.transpose() * m * Np;
// Fu += N^T * b
if (hasGravity) {
Fu.noalias() += fac_u * Nuvw.transpose() * body_force;
}
}
Fu.noalias() += (theta - 1) * Kuu * u0 + (1-theta)* Cup * p0;
FemLib::IFemNumericalIntegration *q_p = fe_p->getIntegrationMethod();
for (size_t j=0; j<q_p->getNumberOfSamplingPoints(); j++) {
q_p->getSamplingPoint(j, gp_x);
fe_u->computeBasisFunctions(gp_x);
fe_p->computeBasisFunctions(gp_x);
fe_p->getRealCoordinates(real_x);
double fac = fe_p->getDetJ() * q_p->getWeight(j);
//--- local component ----
// set N,B
LocalMatrixType &dNu = *fe_u->getGradBasisFunction();
setB_Matrix_byComponent(dim, nnodes_u, dNu, B);
LocalMatrixType &Np = *fe_p->getBasisFunction();
LocalMatrixType &dNp = *fe_p->getGradBasisFunction();
// M_pp += Np^T * S * Np
Mpp.noalias() += fac * Np.transpose() * s * Np;
// K_pp += dNp^T * K * dNp
Kpp.noalias() += fac * dNp.transpose() * k_mu * dNp;
// C_pu += Np^T * m^T * B
Cpu.noalias() += fac * Np.transpose() * m.transpose() * B;
}
// Backward euler
Fp = (1.0/dt * Mpp - (1-theta)*Kpp)* p0 + 1.0/dt * Cpu * u0;
// r = K*u - RHS
LocalVectorType r_u = Kuu * u1 - Cup * p1 - Fu;
LocalVectorType r_p = 1.0/dt * Cpu * u1 + (1.0/dt * Mpp + theta * Kpp) * p1 - Fp;
// if (e.getID()==0) {
// std::cout << "u1=" << std::endl << u1 << std::endl;
// std::cout << "p1=" << std::endl << p1 << std::endl;
// std::cout << "Fp=" << std::endl << Fp << std::endl;
// std::cout << "r_p=" << std::endl << r_p << std::endl;
// }
//
for (size_t i=0; i<dim; i++) {
vec_r[i] = r_u.segment(i*nnodes_u, nnodes_u);
}
vec_r[id_p] = r_p;
}
TEST(NumLib, TimeSteppingIterationNumberBased1)
{
std::vector<std::size_t> iter_times_vector = {0, 3, 5, 7};
std::vector<double> multiplier_vector = {2.0, 1.0, 0.5, 0.25};
NumLib::IterationNumberBasedAdaptiveTimeStepping alg(1, 31, 1, 10, 1, iter_times_vector, multiplier_vector);
ASSERT_TRUE(alg.next()); // t=2, dt=1
NumLib::TimeStep ts = alg.getTimeStep();
ASSERT_EQ(1u, ts.steps());
ASSERT_EQ(1., ts.previous());
ASSERT_EQ(2., ts.current());
ASSERT_EQ(1., ts.dt());
ASSERT_TRUE(alg.accepted());
ASSERT_TRUE(alg.next()); // t=4, dt=2
// dt*=2
alg.setNIterations(3);
ASSERT_TRUE(alg.next()); // t=8, dt=4
ts = alg.getTimeStep();
ASSERT_EQ(3u, ts.steps());
ASSERT_EQ(4., ts.previous());
ASSERT_EQ(8., ts.current());
ASSERT_EQ(4., ts.dt());
ASSERT_TRUE(alg.accepted());
// dt*=1
alg.setNIterations(5);
ASSERT_TRUE(alg.next()); // t=12, dt=4
ts = alg.getTimeStep();
ASSERT_EQ(4u, ts.steps());
ASSERT_EQ(8., ts.previous());
ASSERT_EQ(12., ts.current());
ASSERT_EQ(4., ts.dt());
ASSERT_TRUE(alg.accepted());
// dt*=0.5
alg.setNIterations(7);
ASSERT_TRUE(alg.next()); // t=14, dt=2
ts = alg.getTimeStep();
ASSERT_EQ(5u, ts.steps());
ASSERT_EQ(12., ts.previous());
ASSERT_EQ(14., ts.current());
ASSERT_EQ(2., ts.dt());
ASSERT_TRUE(alg.accepted());
// dt*=0.25 but dt_min = 1
alg.setNIterations(8); // exceed max
ASSERT_TRUE(alg.next()); // t=13, dt=1
ts = alg.getTimeStep();
ASSERT_EQ(5u, ts.steps());
ASSERT_EQ(12., ts.previous());
ASSERT_EQ(13, ts.current());
ASSERT_EQ(1., ts.dt());
ASSERT_FALSE(alg.accepted());
// restart, dt*=1
alg.setNIterations(4);
ASSERT_TRUE(alg.next()); // t=14, dt=1
ts = alg.getTimeStep();
ASSERT_EQ(6u, ts.steps());
ASSERT_EQ(13., ts.previous());
ASSERT_EQ(14, ts.current());
ASSERT_EQ(1., ts.dt());
ASSERT_TRUE(alg.accepted());
}
TEST(NumLibTimeStepping, testEvolutionaryPIDcontroller)
{
const char xml[] =
"<time_stepping>"
" <type>EvolutionaryPIDcontroller</type>"
" <t_initial> 0.0 </t_initial>"
" <t_end> 10 </t_end>"
" <dt_guess> 0.01 </dt_guess>"
" <dt_min> 0.001 </dt_min>"
" <dt_max> 1 </dt_max>"
" <rel_dt_min> 0.01 </rel_dt_min>"
" <rel_dt_max> 5 </rel_dt_max>"
" <tol> 1.e-3 </tol>"
"</time_stepping>";
auto const PIDStepper = createTestTimeStepper(xml);
double solution_error = 0.;
int const number_iterations = 0;
// 1st step
ASSERT_TRUE(PIDStepper->next(solution_error, number_iterations));
NumLib::TimeStep ts = PIDStepper->getTimeStep();
double h_new = 0.01;
double t_previous = 0.;
ASSERT_EQ(1u, ts.steps());
ASSERT_EQ(t_previous, ts.previous());
ASSERT_EQ(t_previous + h_new, ts.current());
ASSERT_EQ(h_new, ts.dt());
ASSERT_TRUE(PIDStepper->accepted());
t_previous += h_new;
// e_n_minus1 is filled.
solution_error = 1.0e-4;
PIDStepper->next(solution_error, number_iterations);
ts = PIDStepper->getTimeStep();
h_new = ts.dt();
ASSERT_EQ(2u, ts.steps());
const double tol = 1.e-16;
ASSERT_NEAR(t_previous, ts.previous(), tol);
ASSERT_NEAR(t_previous + h_new, ts.current(), tol);
ASSERT_TRUE(PIDStepper->accepted());
t_previous += h_new;
// e_n_minus2 is filled.
solution_error = 0.5e-3;
PIDStepper->next(solution_error, number_iterations);
ts = PIDStepper->getTimeStep();
h_new = ts.dt();
ASSERT_EQ(3u, ts.steps());
ASSERT_NEAR(t_previous, ts.previous(), tol);
ASSERT_NEAR(t_previous + h_new, ts.current(), tol);
ASSERT_TRUE(PIDStepper->accepted());
// error > TOL=1.3-3, step rejected and new step size estimated.
solution_error = 0.01;
PIDStepper->next(solution_error, number_iterations);
ts = PIDStepper->getTimeStep();
h_new = ts.dt();
// No change in ts.steps
ASSERT_EQ(3u, ts.steps());
// No change in ts.previous(), which is the same as that of the previous
// step.
ASSERT_NEAR(t_previous, ts.previous(), tol);
ASSERT_NEAR(t_previous + h_new, ts.current(), tol);
ASSERT_FALSE(PIDStepper->accepted());
t_previous += h_new;
// With e_n, e_n_minus1, e_n_minus2
solution_error = 0.4e-3;
PIDStepper->next(solution_error, number_iterations);
ts = PIDStepper->getTimeStep();
h_new = ts.dt();
ASSERT_EQ(4u, ts.steps());
ASSERT_NEAR(t_previous, ts.previous(), tol);
ASSERT_NEAR(t_previous + h_new, ts.current(), tol);
ASSERT_TRUE(PIDStepper->accepted());
}