void Multigrid::smooth()
{
double a1, a2, a3, a4;
double b1, b2, b3, b4;
double a, b;
for (int i = 1; i <= Nx; i++)
for (int j = 1; j <= Ny; j++)
{
a1 = ddx_east_p(i, j);
a2 = ddx_west_p(i, j);
a3 = ddy_north_p(i, j);
a4 = ddy_south_p(i, j);
b1 = ddx_east_r(i, j);
b2 = ddx_west_r(i, j);
b3 = ddy_north_r(i, j);
b4 = ddy_south_r(i, j);
a = (a1 - a2)/dx + (a3 - a4)/dy + isSolid[i][j];
b = (b1 - b2)/dx + (b3 - b4)/dy;
u[i][j] = (R[i][j]/a - b/a)*(1.0 - isSolid[i][j]);
}
computeResidual();
n++;
return;
}
// This is a recursive function which calls itselfs and sub routines of MultiGridSolver
void MultiGridSolver::mgmSolve(const size_t& level)
{
//std::cout << " Level : " << level << " mgmSolve() \n ";
assert(level >0 && level <= numLevel_) ;
// if(level!=1)
// {
applyPreSmoothing(level); // Before going to coaser level lets smoothen the solution by applying RBGS Guass Seidel neu1_ times
computeResidual(level); // Before going to the coaser level, let us compute the error at the current level
if(level!=1) // We can get any further coarse if level is one
applyRestriction(level); // Restrict the error term and assign it to f_
// } // Its time to go to the coaser level :)
if(level == 1)
// This is the end of recursion, Compute Solution
{
//std::cout << "Exact solution\n";
applyRBGS_Iter(level); // Apply Red Black Guass Seidel to compute the exact solution at coarsest level
}
else
{
mgmSolve(level-1); // If we have not reached at the coarsest level keep going down
applyInterpolation(level-1); // Lets see how much we have improved the error by going to the Coaser level, Lets come back to finer level and add the effect;
}
// if(level!=1)
applyPostSmoothing(level); // Lets smotthen the solution a bit
}
int main(int argc, char** argv)
{
// Get user parameters.
Opm::parameter::ParameterGroup param(argc, argv, false);
// Create the Equelle runtime.
EquelleRuntimeCPU er(param);
ensureRequirements(er);
// ============= Generated code starts here ================
const Scalar k = er.inputScalarWithDefault("k", double(0.3));
const CollOfScalar u_initial = er.inputCollectionOfScalar("u_initial", er.allCells());
const CollOfFace dirichlet_boundary = er.inputDomainSubsetOf("dirichlet_boundary", er.boundaryFaces());
const CollOfScalar dirichlet_val = er.inputCollectionOfScalar("dirichlet_val", dirichlet_boundary);
const CollOfScalar vol = er.norm(er.allCells());
const CollOfFace interior_faces = er.interiorFaces();
const CollOfCell first = er.firstCell(interior_faces);
const CollOfCell second = er.secondCell(interior_faces);
const CollOfScalar itrans = (k * (er.norm(interior_faces) / er.norm((er.centroid(first) - er.centroid(second)))));
const CollOfFace bf = er.boundaryFaces();
const CollOfCell bf_cells = er.trinaryIf(er.isEmpty(er.firstCell(bf)), er.secondCell(bf), er.firstCell(bf));
const CollOfScalar bf_sign = er.trinaryIf(er.isEmpty(er.firstCell(bf)), er.operatorExtend(-double(1), bf), er.operatorExtend(double(1), bf));
const CollOfScalar btrans = (k * (er.norm(bf) / er.norm((er.centroid(bf) - er.centroid(bf_cells)))));
const CollOfScalar dir_sign = er.operatorOn(bf_sign, er.boundaryFaces(), dirichlet_boundary);
std::function<CollOfScalar(const CollOfScalar&)> computeInteriorFlux = [&](const CollOfScalar& u) -> CollOfScalar {
return (-itrans * er.gradient(u));
};
std::function<CollOfScalar(const CollOfScalar&)> computeBoundaryFlux = [&](const CollOfScalar& u) -> CollOfScalar {
const CollOfScalar u_dirbdycells = er.operatorOn(u, er.allCells(), er.operatorOn(bf_cells, er.boundaryFaces(), dirichlet_boundary));
const CollOfScalar dir_fluxes = ((er.operatorOn(btrans, er.boundaryFaces(), dirichlet_boundary) * dir_sign) * (u_dirbdycells - dirichlet_val));
return er.operatorExtend(dir_fluxes, dirichlet_boundary, er.boundaryFaces());
};
std::function<CollOfScalar(const CollOfScalar&, const CollOfScalar&, const Scalar&)> computeResidual = [&](const CollOfScalar& u, const CollOfScalar& u0, const Scalar& dt) -> CollOfScalar {
const CollOfScalar ifluxes = computeInteriorFlux(u);
const CollOfScalar bfluxes = computeBoundaryFlux(u);
const CollOfScalar fluxes = (er.operatorExtend(ifluxes, er.interiorFaces(), er.allFaces()) + er.operatorExtend(bfluxes, er.boundaryFaces(), er.allFaces()));
const CollOfScalar residual = ((u - u0) + ((dt / vol) * er.divergence(fluxes)));
return residual;
};
const SeqOfScalar timesteps = er.inputSequenceOfScalar("timesteps");
CollOfScalar u0;
u0 = u_initial;
for (const Scalar& dt : timesteps) {
std::function<CollOfScalar(const CollOfScalar&)> computeResidualLocal = [&](const CollOfScalar& u) -> CollOfScalar {
return computeResidual(u, u0, dt);
};
const CollOfScalar u_guess = u0;
const CollOfScalar u = er.newtonSolve(computeResidualLocal, u_guess);
er.output("u", u);
er.output("maximum of u", er.maxReduce(u));
u0 = u;
}
// ============= Generated code ends here ================
return 0;
}
void Multigrid::solve()
{
smooth();
computeResidual();
while (error() > tol() & n < maxIter())
iterate();
if (n == maxIter())
cout << "Multigrid reached maximum number of iterations" << endl;
}
bool operator()(
const T* const cam_RtK, // [R;t;K]
const T* const pos_3dpoint,
T* out_residuals) const
{
computeResidual(
cam_RtK, // => cam_R
& cam_RtK[3], // => cam_t
& cam_RtK[6], // => cam_K
pos_3dpoint,
m_pos_2dpoint,
out_residuals);
return true;
}
bool operator()(
const T* const cam_K,
const T* const cam_Rt,
const T* const pos_3dpoint,
T* out_residuals) const
{
computeResidual(
cam_Rt, // => cam_R
& cam_Rt[3], // => cam_t
cam_K,
pos_3dpoint,
m_pos_2dpoint,
out_residuals );
return true;
}
bool operator()(
const T* const cam_RtK, // [R;t;K]
T* out_residuals) const
{
T pos_3dpoint[3];
pos_3dpoint[0] = T(m_pos_3dpoint[0]);
pos_3dpoint[1] = T(m_pos_3dpoint[1]);
pos_3dpoint[2] = T(m_pos_3dpoint[2]);
computeResidual(
cam_RtK, // => cam_R
& cam_RtK[3], // => cam_t
& cam_RtK[6], // => cam_K [f,ppx,ppy]
pos_3dpoint,
m_pos_2dpoint,
out_residuals);
return true;
}
void
RecomputeRadialReturn::computeStress(RankTwoTensor & strain_increment,
RankTwoTensor & inelastic_strain_increment,
RankTwoTensor & stress_new)
{
// Given the stretching, update the inelastic strain
// Compute the stress in the intermediate configuration while retaining the stress history
// compute the deviatoric trial stress and trial strain from the current intermediate configuration
RankTwoTensor deviatoric_trial_stress = stress_new.deviatoric();
// compute the effective trial stress
Real dev_trial_stress_squared = deviatoric_trial_stress.doubleContraction(deviatoric_trial_stress);
Real effective_trial_stress = std::sqrt(3.0 / 2.0 * dev_trial_stress_squared);
//If the effective trial stress is zero, so should the inelastic strain increment be zero
//In that case skip the entire iteration if the effective trial stress is zero
if (effective_trial_stress != 0.0)
{
computeStressInitialize(effective_trial_stress);
// Use Newton sub-iteration to determine the scalar effective inelastic strain increment
Real scalar_effective_inelastic_strain = 0;
unsigned int iteration = 0;
Real residual = 10; // use a large number here to guarantee at least one loop through while
Real norm_residual = 10;
Real first_norm_residual = 10;
// create an output string with iteration information when errors occur
std::string iteration_output;
while (iteration < _max_its &&
norm_residual > _absolute_tolerance &&
(norm_residual/first_norm_residual) > _relative_tolerance)
{
iterationInitialize(scalar_effective_inelastic_strain);
residual = computeResidual(effective_trial_stress, scalar_effective_inelastic_strain);
norm_residual = std::abs(residual);
if (iteration == 0)
{
first_norm_residual = norm_residual;
if (first_norm_residual == 0)
first_norm_residual = 1;
}
Real derivative = computeDerivative(effective_trial_stress, scalar_effective_inelastic_strain);
scalar_effective_inelastic_strain -= residual / derivative;
if (_output_iteration_info || _output_iteration_info_on_error)
{
iteration_output = "In the element " + Moose::stringify(_current_elem->id()) +
+ " and the qp point " + Moose::stringify(_qp) + ": \n" +
+ " iteration = " + Moose::stringify(iteration ) + "\n" +
+ " effective trial stress = " + Moose::stringify(effective_trial_stress) + "\n" +
+ " scalar effective inelastic strain = " + Moose::stringify(scalar_effective_inelastic_strain) +"\n" +
+ " relative residual = " + Moose::stringify(norm_residual/first_norm_residual) + "\n" +
+ " relative tolerance = " + Moose::stringify(_relative_tolerance) + "\n" +
+ " absolute residual = " + Moose::stringify(norm_residual) + "\n" +
+ " absolute tolerance = " + Moose::stringify(_absolute_tolerance) + "\n";
}
iterationFinalize(scalar_effective_inelastic_strain);
++iteration;
}
if (_output_iteration_info)
_console << iteration_output << std::endl;
if (iteration == _max_its &&
norm_residual > _absolute_tolerance &&
(norm_residual/first_norm_residual) > _relative_tolerance)
{
if (_output_iteration_info_on_error)
Moose::err << iteration_output;
mooseError("Exceeded maximum iterations in RecomputeRadialReturn solve for material: " << _name << ". Rerun with 'output_iteration_info_on_error = true' for more information.");
}
// compute inelastic strain increments while avoiding a potential divide by zero
inelastic_strain_increment = deviatoric_trial_stress;
inelastic_strain_increment *= (3.0 / 2.0 * scalar_effective_inelastic_strain / effective_trial_stress);
}
else
inelastic_strain_increment.zero();
strain_increment -= inelastic_strain_increment;
stress_new = _elasticity_tensor[_qp] * (strain_increment + _elastic_strain_old[_qp]);
computeStressFinalize(inelastic_strain_increment);
}
bool
FrictionalContactProblem::calculateSlip(const NumericVector<Number>& ghosted_solution,
std::vector<SlipData> * iterative_slip)
{
NonlinearSystem & nonlinear_sys = getNonlinearSystem();
unsigned int dim = nonlinear_sys.subproblem().mesh().dimension();
MooseVariable * residual_x_var = &getVariable(0,_residual_x);
MooseVariable * residual_y_var = &getVariable(0,_residual_y);
MooseVariable * residual_z_var = NULL;
MooseVariable * diag_stiff_x_var = &getVariable(0,_diag_stiff_x);
MooseVariable * diag_stiff_y_var = &getVariable(0,_diag_stiff_y);
MooseVariable * diag_stiff_z_var = NULL;
MooseVariable * inc_slip_x_var = &getVariable(0,_inc_slip_x);
MooseVariable * inc_slip_y_var = &getVariable(0,_inc_slip_y);
MooseVariable * inc_slip_z_var = NULL;
if (dim == 3)
{
residual_z_var = &getVariable(0,_residual_z);
diag_stiff_z_var = &getVariable(0,_diag_stiff_z);
inc_slip_z_var = &getVariable(0,_inc_slip_z);
}
bool updatedSolution = false;
_slip_residual = 0.0;
_it_slip_norm = 0.0;
_inc_slip_norm = 0.0;
TransientNonlinearImplicitSystem & system = getNonlinearSystem().sys();
if (iterative_slip)
iterative_slip->clear();
if (getDisplacedProblem() && _interaction_params.size() > 0)
{
computeResidual(system, ghosted_solution, *system.rhs);
_num_contact_nodes = 0;
_num_slipping = 0;
_num_slipped_too_far = 0;
GeometricSearchData & displaced_geom_search_data = getDisplacedProblem()->geomSearchData();
std::map<std::pair<unsigned int, unsigned int>, PenetrationLocator *> * penetration_locators = &displaced_geom_search_data._penetration_locators;
AuxiliarySystem & aux_sys = getAuxiliarySystem();
const NumericVector<Number> & aux_solution = *aux_sys.currentSolution();
for (std::map<std::pair<unsigned int, unsigned int>, PenetrationLocator *>::iterator plit = penetration_locators->begin();
plit != penetration_locators->end();
++plit)
{
PenetrationLocator & pen_loc = *plit->second;
std::set<dof_id_type> & has_penetrated = pen_loc._has_penetrated;
bool frictional_contact_this_interaction = false;
std::map<std::pair<int,int>,InteractionParams>::iterator ipit;
std::pair<int,int> ms_pair(pen_loc._master_boundary,pen_loc._slave_boundary);
ipit = _interaction_params.find(ms_pair);
if (ipit != _interaction_params.end())
frictional_contact_this_interaction = true;
if (frictional_contact_this_interaction)
{
InteractionParams & interaction_params = ipit->second;
Real slip_factor = interaction_params._slip_factor;
Real slip_too_far_factor = interaction_params._slip_too_far_factor;
Real friction_coefficient = interaction_params._friction_coefficient;
std::vector<dof_id_type> & slave_nodes = pen_loc._nearest_node._slave_nodes;
for (unsigned int i=0; i<slave_nodes.size(); i++)
{
dof_id_type slave_node_num = slave_nodes[i];
if (pen_loc._penetration_info[slave_node_num])
{
PenetrationInfo & info = *pen_loc._penetration_info[slave_node_num];
const Node * node = info._node;
if (node->processor_id() == processor_id())
{
std::set<dof_id_type>::iterator hpit = has_penetrated.find(slave_node_num);
if (hpit != has_penetrated.end())
{
_num_contact_nodes++;
VectorValue<dof_id_type> residual_dofs(node->dof_number(aux_sys.number(), residual_x_var->number(), 0),
node->dof_number(aux_sys.number(), residual_y_var->number(), 0),
(residual_z_var ? node->dof_number(aux_sys.number(), residual_z_var->number(), 0) : 0));
VectorValue<dof_id_type> diag_stiff_dofs(node->dof_number(aux_sys.number(), diag_stiff_x_var->number(), 0),
node->dof_number(aux_sys.number(), diag_stiff_y_var->number(), 0),
(diag_stiff_z_var ? node->dof_number(aux_sys.number(), diag_stiff_z_var->number(), 0) : 0));
VectorValue<dof_id_type> inc_slip_dofs(node->dof_number(aux_sys.number(), inc_slip_x_var->number(), 0),
node->dof_number(aux_sys.number(), inc_slip_y_var->number(), 0),
(inc_slip_z_var ? node->dof_number(aux_sys.number(), inc_slip_z_var->number(), 0) : 0));
RealVectorValue res_vec;
RealVectorValue stiff_vec;
RealVectorValue slip_inc_vec;
for (unsigned int i=0; i<dim; ++i)
{
res_vec(i) = aux_solution(residual_dofs(i));
stiff_vec(i) = aux_solution(diag_stiff_dofs(i));
slip_inc_vec(i) = aux_solution(inc_slip_dofs(i));
}
RealVectorValue slip_iterative(0.0,0.0,0.0);
Real interaction_slip_residual = 0.0;
// _console<<"inc slip: "<<slip_inc_vec<<std::endl;
// _console<<"info slip: "<<info._incremental_slip<<std::endl;
// ContactState state = calculateInteractionSlip(slip_iterative, interaction_slip_residual, info._normal, res_vec, info._incremental_slip, stiff_vec, friction_coefficient, slip_factor, slip_too_far_factor, dim);
ContactState state = calculateInteractionSlip(slip_iterative, interaction_slip_residual, info._normal, res_vec, slip_inc_vec, stiff_vec, friction_coefficient, slip_factor, slip_too_far_factor, dim);
// _console<<"iter slip: "<<slip_iterative<<std::endl;
_slip_residual += interaction_slip_residual*interaction_slip_residual;
if (state == SLIPPING || state == SLIPPED_TOO_FAR)
{
_num_slipping++;
if (state == SLIPPED_TOO_FAR)
_num_slipped_too_far++;
for (unsigned int i=0; i<dim; ++i)
{
SlipData sd(node,i,slip_iterative(i));
if (iterative_slip)
iterative_slip->push_back(sd);
_it_slip_norm += slip_iterative(i)*slip_iterative(i);
_inc_slip_norm += (slip_inc_vec(i)+slip_iterative(i))*(slip_inc_vec(i)+slip_iterative(i));
}
}
}
}
}
}
}
}
_communicator.sum(_num_contact_nodes);
_communicator.sum(_num_slipping);
_communicator.sum(_num_slipped_too_far);
_communicator.sum(_slip_residual);
_slip_residual = std::sqrt(_slip_residual);
_communicator.sum(_it_slip_norm);
_it_slip_norm = std::sqrt(_it_slip_norm);
_communicator.sum(_inc_slip_norm);
_inc_slip_norm = std::sqrt(_inc_slip_norm);
if (_num_slipping > 0)
updatedSolution = true;
}
return updatedSolution;
}
void HeightMipmap::buildResiduals(int level)
{
int nTiles = max(1, (baseLevelSize / this->tileSize) >> (maxLevel - level));
int nTilesPerFile = min(nTiles, 16);
int tileSize = min(topLevelSize << level, this->tileSize);
printf("Build residuals level %d...\n", level);
currentLevel = level;
reset(baseLevelSize >> (maxLevel - currentLevel), baseLevelSize >> (maxLevel - currentLevel), min(topLevelSize << currentLevel, this->tileSize));
float *parentTile = new float[(this->tileSize + 5) * (this->tileSize + 5)];
float *currentTile = new float[(this->tileSize + 5) * (this->tileSize + 5)];
float *residualTile = new float[(this->tileSize + 5) * (this->tileSize + 5)];
unsigned char *encodedResidual = new unsigned char[(this->tileSize + 5) * (this->tileSize + 5) * 2];
float maxRR = 0.0;
float maxEE = 0.0;
for (int dy = 0; dy < nTiles / nTilesPerFile; ++dy) {
for (int dx = 0; dx < nTiles / nTilesPerFile; ++dx) {
char buf[256];
sprintf(buf, "%s/residual-%.2d-%.4d-%.4d.tiff", cache.c_str(), level, dx, dy);
if (flog(buf)) {
TIFF* f = TIFFOpen(buf, "wb");
for (int ny = 0; ny < nTilesPerFile; ++ny) {
for (int nx = 0; nx < nTilesPerFile; ++nx) {
int tx = nx + dx * nTilesPerFile;
int ty = ny + dy * nTilesPerFile;
float maxR, meanR, maxErr;
getApproxTile(level - 1, tx / 2, ty / 2, parentTile);
getTile(level, tx, ty, currentTile);
computeResidual(parentTile, currentTile, level, tx, ty, residualTile, maxR, meanR);
encodeResidual(level, residualTile, encodedResidual);
computeApproxTile(parentTile, residualTile, level, tx, ty, currentTile, maxErr);
if (level < maxLevel) {
saveApproxTile(level, tx, ty, currentTile);
}
TIFFSetField(f, TIFFTAG_IMAGEWIDTH, tileSize + 5);
TIFFSetField(f, TIFFTAG_IMAGELENGTH, tileSize + 5);
TIFFSetField(f, TIFFTAG_COMPRESSION, COMPRESSION_DEFLATE);
TIFFSetField(f, TIFFTAG_ORIENTATION, ORIENTATION_BOTLEFT);
TIFFSetField(f, TIFFTAG_PLANARCONFIG, PLANARCONFIG_CONTIG);
TIFFSetField(f, TIFFTAG_PHOTOMETRIC, PHOTOMETRIC_MINISBLACK);
/*TIFFSetField(f, TIFFTAG_SAMPLESPERPIXEL, 1);
TIFFSetField(f, TIFFTAG_BITSPERSAMPLE, 16);*/
TIFFSetField(f, TIFFTAG_SAMPLESPERPIXEL, 2);
TIFFSetField(f, TIFFTAG_BITSPERSAMPLE, 8);
TIFFWriteEncodedStrip(f, 0, encodedResidual, (tileSize + 5) * (tileSize + 5) * 2);
TIFFWriteDirectory(f);
maxRR = max(maxR, maxRR);
maxEE = max(maxErr, maxEE);
}
}
TIFFClose(f);
printf("%f max residual, %f max err\n", maxRR, maxEE);
}
}
}
delete[] parentTile;
delete[] currentTile;
delete[] residualTile;
delete[] encodedResidual;
}
void Solver::SORCycle(GridFunction* gridfunction,
GridFunctionType& rhs,
const PointType& h){
MultiIndexType dim = gridfunction->GetGridDimension();
MultiIndexType bread (0,0);
MultiIndexType eread (dim[0]-1,dim[1]-1);
MultiIndexType bwrite (1,1);
MultiIndexType ewrite (dim[0]-2,dim[1]-2);
Computation pc (param);
//Initialization of the residual. Just choose a value, that should be a bad error.
RealType res = 10e20;
int iterationCounter = 0;
// SOR-cycling until error is small enough, or the number of iterations gets to high:
RealType neighbours_x, neighbours_y;
/*
std::cout<<"direct before SOR:" <<std::endl;
gridfunction->PlotGrid();
std::cout<<std::endl;
*/
while (iterationCounter < param.iterMax && res > param.eps )
{
pc.setBoundaryP(*gridfunction);
/*
std::cout<<"after boundary-setting:" <<std::endl;
gridfunction->PlotGrid();
std::cout<<std::endl;
*/
for (IndexType i = 1; i <= dim[0]-2; i++)
{
for (IndexType j = 1; j <= dim[1]-2; j++)
{
//help-values "neighbours_x" and "neighbours_y" for better overview
neighbours_x = (gridfunction->GetGridFunction()[i+1][j] + gridfunction->GetGridFunction()[i-1][j])
/ h[0] / h[0];
neighbours_y = (gridfunction->GetGridFunction()[i][j+1] + gridfunction->GetGridFunction()[i][j-1])
/ h[1] / h[1];
//SOR-iteration
gridfunction->SetGridFunction(i,j,(1.0 - param.omg)*gridfunction->GetGridFunction()[i][j]
+ param.omg /(2.0*(1/h[0]/h[0]+1/h[1]/h[1]))
* (neighbours_x + neighbours_y - rhs[i][j]));
}
}
iterationCounter++;
pc.setBoundaryP(*gridfunction);
res = computeResidual(*gridfunction, rhs, h);
/*
std::cout<<"after SOR:" <<std::endl;
gridfunction->PlotGrid();
std::cout<<std::endl;
*/
}
if (iterationCounter >= param.iterMax)
std::cout<<"iteration abort with error res = "<<res<<std::endl;
}
void
ReturnMappingModel::computeStress(const Elem & /*current_elem*/, unsigned qp,
const SymmElasticityTensor & elasticityTensor,
const SymmTensor & stress_old,
SymmTensor & strain_increment,
SymmTensor & stress_new,
SymmTensor & inelastic_strain_increment)
{
// compute deviatoric trial stress
SymmTensor dev_trial_stress(stress_new);
dev_trial_stress.addDiag(-dev_trial_stress.trace()/3.0);
// compute effective trial stress
Real dts_squared = dev_trial_stress.doubleContraction(dev_trial_stress);
Real effective_trial_stress = std::sqrt(1.5 * dts_squared);
// compute effective strain increment
SymmTensor dev_strain_increment(strain_increment);
dev_strain_increment.addDiag(-strain_increment.trace()/3.0);
_effective_strain_increment = dev_strain_increment.doubleContraction(dev_strain_increment);
_effective_strain_increment = std::sqrt(2.0/3.0 * _effective_strain_increment);
computeStressInitialize(qp, effective_trial_stress, elasticityTensor);
// Use Newton sub-iteration to determine inelastic strain increment
Real scalar = 0;
unsigned int it = 0;
Real residual = 10;
Real norm_residual = 10;
Real first_norm_residual = 10;
std::string iter_output;
while (it < _max_its &&
norm_residual > _absolute_tolerance &&
(norm_residual/first_norm_residual) > _relative_tolerance)
{
iterationInitialize(qp, scalar);
residual = computeResidual(qp, effective_trial_stress, scalar);
norm_residual = std::abs(residual);
if (it == 0)
{
first_norm_residual = norm_residual;
if (first_norm_residual == 0)
{
first_norm_residual = 1;
}
}
scalar -= residual / computeDerivative(qp, effective_trial_stress, scalar);
if (_output_iteration_info == true ||
_output_iteration_info_on_error == true)
{
iter_output = "In the element " + Moose::stringify(_current_elem->id()) +
+ " and the qp point " + Moose::stringify(qp) + ": \n" +
+ " iteration = " + Moose::stringify(it ) + "\n" +
+ " effective trial stress = " + Moose::stringify(effective_trial_stress) + "\n" +
+ " scalar effective inelastic strain = " + Moose::stringify(scalar) +"\n" +
+ " relative residual = " + Moose::stringify(norm_residual/first_norm_residual) + "\n" +
+ " relative tolerance = " + Moose::stringify(_relative_tolerance) + "\n" +
+ " absolute residual = " + Moose::stringify(norm_residual) + "\n" +
+ " absolute tolerance = " + Moose::stringify(_absolute_tolerance) + "\n";
}
iterationFinalize(qp, scalar);
++it;
}
if (_output_iteration_info)
_console << iter_output;
if (it == _max_its &&
norm_residual > _absolute_tolerance &&
(norm_residual/first_norm_residual) > _relative_tolerance)
{
if (_output_iteration_info_on_error)
{
Moose::err << iter_output;
}
mooseError("Exceeded maximum iterations in ReturnMappingModel solve for material: " << _name << ". Rerun with 'output_iteration_info_on_error = true' for more information.");
}
// compute inelastic and elastic strain increments (avoid potential divide by zero - how should this be done)?
if (effective_trial_stress < 0.01)
{
effective_trial_stress = 0.01;
}
inelastic_strain_increment = dev_trial_stress;
inelastic_strain_increment *= (1.5*scalar/effective_trial_stress);
strain_increment -= inelastic_strain_increment;
// compute stress increment
stress_new = elasticityTensor * strain_increment;
// update stress
stress_new += stress_old;
computeStressFinalize(qp, inelastic_strain_increment);
}
void
ReturnMappingModel::computeStress( const Elem & /*current_elem*/, unsigned qp,
const SymmElasticityTensor & elasticityTensor,
const SymmTensor & stress_old,
SymmTensor & strain_increment,
SymmTensor & stress_new,
SymmTensor & inelastic_strain_increment )
{
// compute deviatoric trial stress
SymmTensor dev_trial_stress(stress_new);
dev_trial_stress.addDiag( -dev_trial_stress.trace()/3.0 );
// compute effective trial stress
Real dts_squared = dev_trial_stress.doubleContraction(dev_trial_stress);
Real effective_trial_stress = std::sqrt(1.5 * dts_squared);
// compute effective strain increment
SymmTensor dev_strain_increment(strain_increment);
dev_strain_increment.addDiag( -strain_increment.trace()/3.0);
_effective_strain_increment = dev_strain_increment.doubleContraction(dev_strain_increment);
_effective_strain_increment = std::sqrt(2.0/3.0 * _effective_strain_increment);
computeStressInitialize(qp, effective_trial_stress, elasticityTensor);
// Use Newton sub-iteration to determine inelastic strain increment
Real scalar = 0;
unsigned int it = 0;
Real residual = 10;
Real norm_residual = 10;
Real first_norm_residual = 10;
std::stringstream iter_output;
while (it < _max_its &&
norm_residual > _absolute_tolerance &&
(norm_residual/first_norm_residual) > _relative_tolerance)
{
iterationInitialize( qp, scalar );
residual = computeResidual(qp, effective_trial_stress, scalar);
norm_residual = std::abs(residual);
if (it == 0)
{
first_norm_residual = norm_residual;
if (first_norm_residual == 0)
{
first_norm_residual = 1;
}
}
scalar -= residual / computeDerivative(qp, effective_trial_stress, scalar);
if (_output_iteration_info == true ||
_output_iteration_info_on_error == true)
{
iter_output
<< " it=" << it
<< " trl_strs=" << effective_trial_stress
<< " scalar=" << scalar
<< " rel_res=" << norm_residual/first_norm_residual
<< " rel_tol=" << _relative_tolerance
<< " abs_res=" << norm_residual
<< " abs_tol=" << _absolute_tolerance
<< std::endl;
}
iterationFinalize( qp, scalar );
++it;
}
if (_output_iteration_info)
_console << iter_output.str();
if (it == _max_its &&
norm_residual > _absolute_tolerance &&
(norm_residual/first_norm_residual) > _relative_tolerance)
{
if (_output_iteration_info_on_error)
{
Moose::err << iter_output.str();
}
mooseError("Max sub-newton iteration hit during nonlinear constitutive model solve! (" << _name << ")");
}
// compute inelastic and elastic strain increments (avoid potential divide by zero - how should this be done)?
if (effective_trial_stress < 0.01)
{
effective_trial_stress = 0.01;
}
inelastic_strain_increment = dev_trial_stress;
inelastic_strain_increment *= (1.5*scalar/effective_trial_stress);
strain_increment -= inelastic_strain_increment;
// compute stress increment
stress_new = elasticityTensor * strain_increment;
// update stress
stress_new += stress_old;
computeStressFinalize(qp, inelastic_strain_increment);
}