Revision 3bff72cc058ba960c48c46b1058ee2218b24ac89 authored by Lars Bilke on 10 December 2020, 20:32:42 UTC, committed by Lars Bilke on 10 December 2020, 20:32:42 UTC
Draft: [ci Fix large benchmark CylindricalCavity See merge request ogs/ogs!3321
CentralDifferencesJacobianAssembler.cpp
/**
* \file
* \copyright
* Copyright (c) 2012-2020, OpenGeoSys Community (http://www.opengeosys.org)
* Distributed under a Modified BSD License.
* See accompanying file LICENSE.txt or
* http://www.opengeosys.org/project/license
*
*/
#include "CentralDifferencesJacobianAssembler.h"
#include "BaseLib/ConfigTree.h"
#include "BaseLib/Error.h"
#include "LocalAssemblerInterface.h"
#include "MathLib/LinAlg/Eigen/EigenMapTools.h"
namespace ProcessLib
{
CentralDifferencesJacobianAssembler::CentralDifferencesJacobianAssembler(
std::vector<double>&& absolute_epsilons)
: _absolute_epsilons(std::move(absolute_epsilons))
{
if (_absolute_epsilons.empty())
{
OGS_FATAL("No values for the absolute epsilons have been given.");
}
}
void CentralDifferencesJacobianAssembler::assembleWithJacobian(
LocalAssemblerInterface& local_assembler, const double t, double const dt,
const std::vector<double>& local_x_data,
const std::vector<double>& local_xdot_data, const double dxdot_dx,
const double dx_dx, std::vector<double>& local_M_data,
std::vector<double>& local_K_data, std::vector<double>& local_b_data,
std::vector<double>& local_Jac_data)
{
// TODO do not check in every call.
if (local_x_data.size() % _absolute_epsilons.size() != 0) {
OGS_FATAL(
"The number of specified epsilons ({:d}) and the number of local "
"d.o.f.s ({:d}) do not match, i.e., the latter is not divisable by "
"the former.",
_absolute_epsilons.size(), local_x_data.size());
}
auto const num_r_c =
static_cast<Eigen::MatrixXd::Index>(local_x_data.size());
auto const local_x =
MathLib::toVector<Eigen::VectorXd>(local_x_data, num_r_c);
auto const local_xdot =
MathLib::toVector<Eigen::VectorXd>(local_xdot_data, num_r_c);
auto local_Jac = MathLib::createZeroedMatrix(local_Jac_data,
num_r_c, num_r_c);
_local_x_perturbed_data = local_x_data;
_local_xdot_perturbed_data = local_xdot_data;
auto const num_dofs_per_component =
local_x_data.size() / _absolute_epsilons.size();
// Residual res := M xdot + K x - b
// Computing Jac := dres/dx
// = M dxdot/dx + dM/dx xdot + K dx/dx + dK/dx x - db/dx
// (Note: dM/dx and dK/dx actually have the second and
// third index transposed.)
// The loop computes the dM/dx, dK/dx and db/dx terms, the rest is computed
// afterwards.
for (Eigen::MatrixXd::Index i = 0; i < num_r_c; ++i)
{
// assume that local_x_data is ordered by component.
auto const component = i / num_dofs_per_component;
auto const eps = _absolute_epsilons[component];
_local_x_perturbed_data[i] += eps;
_local_xdot_perturbed_data[i] = local_xdot_data[i] + eps / dt;
local_assembler.assemble(t, dt, _local_x_perturbed_data,
_local_xdot_perturbed_data, local_M_data,
local_K_data, local_b_data);
_local_x_perturbed_data[i] = local_x_data[i] - eps;
_local_xdot_perturbed_data[i] = local_xdot_data[i] - eps / dt;
local_assembler.assemble(t, dt, _local_x_perturbed_data,
_local_xdot_perturbed_data, _local_M_data,
_local_K_data, _local_b_data);
_local_x_perturbed_data[i] = local_x_data[i];
_local_xdot_perturbed_data[i] = local_xdot_data[i];
if (!local_M_data.empty()) {
auto const local_M_p =
MathLib::toMatrix(local_M_data, num_r_c, num_r_c);
auto const local_M_m =
MathLib::toMatrix(_local_M_data, num_r_c, num_r_c);
local_Jac.col(i).noalias() +=
// dM/dxi * x_dot
(local_M_p - local_M_m) * local_xdot / (2.0 * eps);
local_M_data.clear();
_local_M_data.clear();
}
if (!local_K_data.empty()) {
auto const local_K_p =
MathLib::toMatrix(local_K_data, num_r_c, num_r_c);
auto const local_K_m =
MathLib::toMatrix(_local_K_data, num_r_c, num_r_c);
local_Jac.col(i).noalias() +=
// dK/dxi * x
(local_K_p - local_K_m) * local_x / (2.0 * eps);
local_K_data.clear();
_local_K_data.clear();
}
if (!local_b_data.empty()) {
auto const local_b_p =
MathLib::toVector<Eigen::VectorXd>(local_b_data, num_r_c);
auto const local_b_m =
MathLib::toVector<Eigen::VectorXd>(_local_b_data, num_r_c);
local_Jac.col(i).noalias() -=
// db/dxi
(local_b_p - local_b_m) / (2.0 * eps);
local_b_data.clear();
_local_b_data.clear();
}
}
// Assemble with unperturbed local x.
local_assembler.assemble(t, dt, local_x_data, local_xdot_data, local_M_data,
local_K_data, local_b_data);
// Compute remaining terms of the Jacobian.
if (dxdot_dx != 0.0 && !local_M_data.empty()) {
auto local_M = MathLib::toMatrix(local_M_data, num_r_c, num_r_c);
local_Jac.noalias() += local_M * dxdot_dx;
}
if (dx_dx != 0.0 && !local_K_data.empty()) {
auto local_K = MathLib::toMatrix(local_K_data, num_r_c, num_r_c);
local_Jac.noalias() += local_K * dx_dx;
}
}
std::unique_ptr<CentralDifferencesJacobianAssembler>
createCentralDifferencesJacobianAssembler(BaseLib::ConfigTree const& config)
{
//! \ogs_file_param{prj__processes__process__jacobian_assembler__type}
config.checkConfigParameter("type", "CentralDifferences");
// TODO make non-optional.
//! \ogs_file_param{prj__processes__process__jacobian_assembler__CentralDifferences__relative_epsilons}
auto rel_eps = config.getConfigParameterOptional<std::vector<double>>(
"relative_epsilons");
//! \ogs_file_param{prj__processes__process__jacobian_assembler__CentralDifferences__component_magnitudes}
auto comp_mag = config.getConfigParameterOptional<std::vector<double>>(
"component_magnitudes");
if (!!rel_eps != !!comp_mag) {
OGS_FATAL(
"Either both or none of <relative_epsilons> and "
"<component_magnitudes> have to be specified.");
}
std::vector<double> abs_eps;
if (rel_eps) {
if (rel_eps->size() != comp_mag->size()) {
OGS_FATAL(
"The numbers of components of <relative_epsilons> and "
"<component_magnitudes> do not match.");
}
abs_eps.resize(rel_eps->size());
for (std::size_t i=0; i<rel_eps->size(); ++i) {
abs_eps[i] = (*rel_eps)[i] * (*comp_mag)[i];
}
} else {
// By default 1e-8 is used as epsilon for all components.
// TODO: remove this default value.
abs_eps.emplace_back(1e-8);
}
return std::make_unique<CentralDifferencesJacobianAssembler>(
std::move(abs_eps));
}
} // namespace ProcessLib
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