//**********************************************************************
PHX_EVALUATE_FIELDS(NeumannResidual,workset)
{
residual.deep_copy(ScalarT(0.0));
for (std::size_t cell = 0; cell < workset.num_cells; ++cell) {
for (std::size_t ip = 0; ip < num_ip; ++ip) {
normal_dot_flux(cell,ip) = ScalarT(0.0);
for (std::size_t dim = 0; dim < num_dim; ++dim) {
normal_dot_flux(cell,ip) += normal(cell,ip,dim) * flux(cell,ip,dim);
}
}
}
// const Intrepid::FieldContainer<double> & weighted_basis = workset.bases[basis_index]->weighted_basis;
const Teuchos::RCP<const BasisValues2<double> > bv = workset.bases[basis_index];
for (std::size_t cell = 0; cell < workset.num_cells; ++cell) {
for (std::size_t basis = 0; basis < residual.dimension(1); ++basis) {
for (std::size_t qp = 0; qp < num_ip; ++qp) {
residual(cell,basis) += normal_dot_flux(cell,qp)*bv->weighted_basis_scalar(cell,basis,qp);
}
}
}
if(workset.num_cells>0)
Intrepid::FunctionSpaceTools::
integrate<ScalarT>(residual, normal_dot_flux,
(workset.bases[basis_index])->weighted_basis_scalar,
Intrepid::COMP_BLAS);
}
//**********************************************************************
PHX_EVALUATE_FIELDS(InterfaceResidual,workset)
{
residual.deep_copy(ScalarT(0.0));
for (std::size_t cell = 0; cell < workset.num_cells; ++cell) {
for (std::size_t ip = 0; ip < num_ip; ++ip) {
normal_dot_flux(cell,ip) = ScalarT(0.0);
for (std::size_t dim = 0; dim < num_dim; ++dim) {
normal_dot_flux(cell,ip) += normal(cell,ip,dim) * flux(cell,ip,dim);
}
}
}
// const Kokkos::DynRankView<double,PHX::Device> & weighted_basis = this->wda(workset).bases[basis_index]->weighted_basis;
const Teuchos::RCP<const BasisValues2<double> > bv = this->wda(workset).bases[basis_index];
for (std::size_t cell = 0; cell < workset.num_cells; ++cell) {
for (std::size_t basis = 0; basis < residual.dimension(1); ++basis) {
for (std::size_t qp = 0; qp < num_ip; ++qp) {
residual(cell,basis) += normal_dot_flux(cell,qp)*bv->weighted_basis_scalar(cell,basis,qp);
}
}
}
if(workset.num_cells>0)
Intrepid2::FunctionSpaceTools::
integrate<ScalarT>(residual, normal_dot_flux,
(this->wda(workset).bases[basis_index])->weighted_basis_scalar,
Intrepid2::COMP_CPP);
}
//**********************************************************************
PHX_EVALUATE_FIELDS(Integrator_TransientBasisTimesScalar,workset)
{
if (workset.evaluate_transient_terms) {
// for (int i=0; i < residual.size(); ++i)
// residual[i] = 0.0;
Kokkos::deep_copy (residual.get_kokkos_view(), ScalarT(0.0));
for (std::size_t cell = 0; cell < workset.num_cells; ++cell) {
for (std::size_t qp = 0; qp < num_qp; ++qp) {
tmp(cell,qp) = multiplier * scalar(cell,qp);
for (typename std::vector<PHX::MDField<ScalarT,Cell,IP> >::iterator field = field_multipliers.begin();
field != field_multipliers.end(); ++field)
tmp(cell,qp) = tmp(cell,qp) * (*field)(cell,qp);
}
}
if(workset.num_cells>0)
Intrepid2::FunctionSpaceTools::
integrate<ScalarT>(residual, tmp,
(this->wda(workset).bases[basis_index])->weighted_basis_scalar,
Intrepid2::COMP_CPP);
}
}
void StokesFOImplicitThicknessUpdateResid<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
typedef Intrepid::FunctionSpaceTools FST;
// Initialize residual to 0.0
Kokkos::deep_copy(Residual.get_kokkos_view(), ScalarT(0.0));
Intrepid::FieldContainer<ScalarT> res(numNodes,3);
double rho_g=rho*g;
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (int i = 0; i < res.size(); i++) res(i) = 0.0;
for (std::size_t qp=0; qp < numQPs; ++qp) {
ScalarT dHdiffdx = 0;//Ugrad(cell,qp,2,0);
ScalarT dHdiffdy = 0;//Ugrad(cell,qp,2,1);
for (std::size_t node=0; node < numNodes; ++node) {
dHdiffdx += (H(cell,node)-H0(cell,node)) * gradBF(cell,node, qp,0);
dHdiffdy += (H(cell,node)-H0(cell,node)) * gradBF(cell,node, qp,1);
}
for (std::size_t node=0; node < numNodes; ++node) {
res(node,0) += rho_g*dHdiffdx*wBF(cell,node,qp);
res(node,1) += rho_g*dHdiffdy*wBF(cell,node,qp);
}
}
for (std::size_t node=0; node < numNodes; ++node) {
Residual(cell,node,0) = res(node,0);
Residual(cell,node,1) = res(node,1);
}
}
}
void FastSolutionTensorInterpolationBase<PHAL::AlbanyTraits::Jacobian, Traits, typename PHAL::AlbanyTraits::Jacobian::ScalarT>::
evaluateFields(typename Traits::EvalData workset)
{
const int num_dof = this->val_node(0,0,0,0).size();
const int neq = workset.wsElNodeEqID.dimension(2);
const auto vecDim = this->vecDim;
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < this->numQPs; ++qp) {
for (std::size_t i=0; i< vecDim; i++) {
for (std::size_t j=0; j< vecDim; j++) {
// Zero out for node==0; then += for node = 1 to numNodes
typename PHAL::Ref<ScalarT>::type vqp = this->val_qp(cell,qp,i,j);
vqp = this->val_node(cell, 0, i, j) * this->BF(cell, 0, qp);
vqp = ScalarT(num_dof, this->val_node(cell, 0, i, j).val() * this->BF(cell, 0, qp));
vqp.fastAccessDx(offset+i*vecDim+j) = this->val_node(cell, 0, i, j).fastAccessDx(offset+i*vecDim+j) * this->BF(cell, 0, qp);
for (std::size_t node=1; node < this->numNodes; ++node) {
vqp.val() += this->val_node(cell, node, i, j).val() * this->BF(cell, node, qp);
vqp.fastAccessDx(neq*node+offset+i*this->vecDim+j)
+= this->val_node(cell, node, i, j).fastAccessDx(neq*node+offset+i*vecDim+j) * this->BF(cell, node, qp);
}
}
}
}
}
}
void panzer::ReorderADValues_Evaluator<panzer::Traits::Jacobian, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
// for AD data do a reordering
for(std::size_t i = 0; i < inFields_.size(); ++i) {
for(typename PHX::MDField<ScalarT>::size_type j = 0; j < inFields_[i].size(); ++j) {
// allocated scalar fields
outFields_[i][j] = ScalarT(dstFromSrcMap_.size(), inFields_[i][j].val());
ScalarT & outField = outFields_[i][j];
const ScalarT & inField = inFields_[i][j];
// the jacobian must be initialized, otherwise its just a value copy
if(inField.size()>0) {
// loop over the sensitivity indices: all DOFs on a cell
outField.resize(dstFromSrcMap_.size());
// copy jacobian entries correctly reordered
for(std::size_t k=0;k<dstFromSrcMap_.size();k++)
outField.fastAccessDx(k) = inField.fastAccessDx(dstFromSrcMap_[k]);
}
outField.val() = inField.val();
}
}
}
void Gather2DField<PHAL::AlbanyTraits::Residual, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
Teuchos::RCP<const Tpetra_Vector> xT = workset.xT;
Teuchos::ArrayRCP<const ST> xT_constView = xT->get1dView();
Kokkos::deep_copy(this->field2D.get_kokkos_view(), ScalarT(0.0));
const Albany::SideSetList& ssList = *(workset.sideSets);
Albany::SideSetList::const_iterator it = ssList.find(this->meshPart);
if (it != ssList.end()) {
const std::vector<Albany::SideStruct>& sideSet = it->second;
const Albany::NodalDOFManager& solDOFManager = workset.disc->getOverlapDOFManager("ordinary_solution");
for (std::size_t iSide = 0; iSide < sideSet.size(); ++iSide) { // loop over the sides on this ws and name
// Get the data that corresponds to the side
const int elem_GID = sideSet[iSide].elem_GID;
const int elem_LID = sideSet[iSide].elem_LID;
const int elem_side = sideSet[iSide].side_local_id;
const CellTopologyData_Subcell& side = this->cell_topo->side[elem_side];
int numSideNodes = side.topology->node_count;
const Teuchos::ArrayRCP<Teuchos::ArrayRCP<int> >& nodeID = workset.wsElNodeEqID[elem_LID];
for (int i = 0; i < numSideNodes; ++i){
std::size_t node = side.node[i];
const Teuchos::ArrayRCP<int>& eqID = nodeID[node];
this->field2D(elem_LID,node) = xT_constView[eqID[this->offset]];
}
}
}
}
void panzer::ProjectToEdges<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
const shards::CellTopology & parentCell = *basis->getCellTopology();
const int intDegree = basis->order();
TEUCHOS_ASSERT(intDegree == 1);
Intrepid2::DefaultCubatureFactory<double,Kokkos::DynRankView<double,PHX::Device>,Kokkos::DynRankView<double,PHX::Device>> quadFactory;
Teuchos::RCP< Intrepid2::Cubature<double,Kokkos::DynRankView<double,PHX::Device>,Kokkos::DynRankView<double,PHX::Device>> > edgeQuad;
// Collect the reference edge information. For now, do nothing with the quadPts.
const unsigned num_edges = parentCell.getEdgeCount();
std::vector<double> refEdgeWt(num_edges, 0.0);
for (unsigned e=0; e<num_edges; e++) {
edgeQuad = quadFactory.create(parentCell.getCellTopologyData(1,e), intDegree);
const int numQPoints = edgeQuad->getNumPoints();
Kokkos::DynRankView<double,PHX::Device> quadWts("quadWts",numQPoints);
Kokkos::DynRankView<double,PHX::Device> quadPts("quadPts",numQPoints,num_dim);
edgeQuad->getCubature(quadPts,quadWts);
for (int q=0; q<numQPoints; q++)
refEdgeWt[e] += quadWts(q);
}
// Loop over the edges of the workset cells.
for (index_t cell = 0; cell < workset.num_cells; ++cell) {
for (int p = 0; p < num_pts; ++p) {
result(cell,p) = ScalarT(0.0);
for (int dim = 0; dim < num_dim; ++dim)
result(cell,p) += vector_values(cell,p,dim) * tangents(cell,p,dim);
result(cell,p) *= refEdgeWt[p];
}
}
}
void GatherExtruded2DField<PHAL::AlbanyTraits::Residual, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
Teuchos::RCP<const Tpetra_Vector> xT = workset.xT;
Teuchos::ArrayRCP<const ST> xT_constView = xT->get1dView();
Kokkos::deep_copy(this->field2D.get_kokkos_view(), ScalarT(0.0));
const Albany::LayeredMeshNumbering<LO>& layeredMeshNumbering = *workset.disc->getLayeredMeshNumbering();
const Albany::NodalDOFManager& solDOFManager = workset.disc->getOverlapDOFManager("ordinary_solution");
int numLayers = layeredMeshNumbering.numLayers;
this->fieldLevel = (this->fieldLevel < 0) ? numLayers : this->fieldLevel;
const Teuchos::ArrayRCP<Teuchos::ArrayRCP<GO> >& wsElNodeID = workset.disc->getWsElNodeID()[workset.wsIndex];
for (std::size_t cell=0; cell < workset.numCells; ++cell ) {
const Teuchos::ArrayRCP<GO>& elNodeID = wsElNodeID[cell];
for (std::size_t node = 0; node < this->numNodes; ++node) {
LO lnodeId = workset.disc->getOverlapNodeMapT()->getLocalElement(elNodeID[node]);
LO base_id, ilayer;
layeredMeshNumbering.getIndices(lnodeId, base_id, ilayer);
LO inode = layeredMeshNumbering.getId(base_id, this->fieldLevel);
(this->field2D)(cell,node) = xT_constView[solDOFManager.getLocalDOF(inode, this->offset)];
}
}
}
void GatherVerticallyAveragedVelocity<PHAL::AlbanyTraits::Residual, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
Teuchos::RCP<const Tpetra_Vector> xT = Albany::getConstTpetraVector(workset.x);
Teuchos::ArrayRCP<const ST> xT_constView = xT->get1dView();
Kokkos::deep_copy(this->averagedVel.get_view(), ScalarT(0.0));
if (workset.sideSets == Teuchos::null)
TEUCHOS_TEST_FOR_EXCEPTION(true, std::logic_error, "Side sets defined in input file but not properly specified on the mesh" << std::endl);
const Albany::SideSetList& ssList = *(workset.sideSets);
Albany::SideSetList::const_iterator it = ssList.find(this->meshPart);
if (it != ssList.end()) {
const std::vector<Albany::SideStruct>& sideSet = it->second;
// Loop over the sides that form the boundary condition
const Teuchos::ArrayRCP<Teuchos::ArrayRCP<GO> >& wsElNodeID = workset.disc->getWsElNodeID()[workset.wsIndex];
const Albany::LayeredMeshNumbering<LO>& layeredMeshNumbering = *workset.disc->getLayeredMeshNumbering();
const Albany::NodalDOFManager& solDOFManager = workset.disc->getOverlapDOFManager("ordinary_solution");
const Teuchos::ArrayRCP<double>& layers_ratio = layeredMeshNumbering.layers_ratio;
int numLayers = layeredMeshNumbering.numLayers;
Teuchos::ArrayRCP<double> quadWeights(numLayers+1); //doing trapezoidal rule
quadWeights[0] = 0.5*layers_ratio[0]; quadWeights[numLayers] = 0.5*layers_ratio[numLayers-1];
for(int i=1; i<numLayers; ++i)
quadWeights[i] = 0.5*(layers_ratio[i-1] + layers_ratio[i]);
for (std::size_t iSide = 0; iSide < sideSet.size(); ++iSide) { // loop over the sides on this ws and name
// Get the data that corresponds to the side
const int elem_GID = sideSet[iSide].elem_GID;
const int elem_LID = sideSet[iSide].elem_LID;
const int elem_side = sideSet[iSide].side_local_id;
const CellTopologyData_Subcell& side = this->cell_topo->side[elem_side];
int numSideNodes = side.topology->node_count;
const Teuchos::ArrayRCP<GO>& elNodeID = wsElNodeID[elem_LID];
//we only consider elements on the top.
LO baseId, ilayer;
for (int i = 0; i < numSideNodes; ++i) {
std::size_t node = side.node[i];
LO lnodeId = workset.disc->getOverlapNodeMapT()->getLocalElement(elNodeID[node]);
layeredMeshNumbering.getIndices(lnodeId, baseId, ilayer);
std::vector<double> avVel(this->vecDimFO,0);
for(int il=0; il<numLayers+1; ++il)
{
LO inode = layeredMeshNumbering.getId(baseId, il);
for(int comp=0; comp<this->vecDimFO; ++comp)
avVel[comp] += xT_constView[solDOFManager.getLocalDOF(inode, comp)]*quadWeights[il];
}
for(int comp=0; comp<this->vecDimFO; ++comp)
this->averagedVel(elem_LID,elem_side,i,comp) = avVel[comp];
}
}
}
}
//**********************************************************************
PHX_EVALUATE_FIELDS(DotProduct,workset)
{
for (std::size_t cell = 0; cell < workset.num_cells; ++cell) {
for (int p = 0; p < num_pts; ++p) {
vec_a_dot_vec_b(cell,p) = ScalarT(0.0);
for (int dim = 0; dim < num_dim; ++dim)
vec_a_dot_vec_b(cell,p) += vec_a(cell,p,dim) * vec_b(cell,p,dim);
}
}
}
void
ElectrostaticResidual<EvalT, Traits>::evaluateFields(
typename Traits::EvalData workset)
{
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int node = 0; node < num_nodes_; ++node)
residual_(cell, node) = ScalarT(0);
for (int pt = 0; pt < num_pts_; ++pt)
for (int node = 0; node < num_nodes_; ++node)
for (int i = 0; i < num_dims_; ++i)
residual_(cell, node) +=
edisp_(cell, pt, i) * w_grad_bf_(cell, node, pt, i);
}
}
void LiquidWaterFraction<EvalT,Traits,Type>::
evaluateFields(typename Traits::EvalData d)
{
const double pow6 = 1e6; //[k^{-2}], k =1000
// double pi = atan(1.) * 4.;
ScalarT phiNode;
for (std::size_t cell = 0; cell < d.numCells; ++cell)
{
for (std::size_t node = 0; node < numNodes; ++node)
{
phi(cell,node) = ( enthalpy(cell,node) < enthalpyHs(cell,node) ) ? ScalarT(0) : pow6 * (enthalpy(cell,node) - enthalpyHs(cell,node)) / (rho_w * L);
}
}
}
void Gather2DField<PHAL::AlbanyTraits::Jacobian, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
Teuchos::RCP<const Tpetra_Vector> xT = workset.xT;
Teuchos::ArrayRCP<const ST> xT_constView = xT->get1dView();
if (workset.sideSets == Teuchos::null)
TEUCHOS_TEST_FOR_EXCEPTION(true, std::logic_error, "Side sets defined in input file but not properly specified on the mesh" << std::endl);
const Albany::LayeredMeshNumbering<LO>& layeredMeshNumbering = *workset.disc->getLayeredMeshNumbering();
int numLayers = workset.disc->getLayeredMeshNumbering()->numLayers;
this->fieldLevel = (this->fieldLevel < 0) ? numLayers : this->fieldLevel;
Kokkos::deep_copy(this->field2D.get_kokkos_view(), ScalarT(0.0));
const Albany::SideSetList& ssList = *(workset.sideSets);
Albany::SideSetList::const_iterator it = ssList.find(this->meshPart);
if (it != ssList.end()) {
const std::vector<Albany::SideStruct>& sideSet = it->second;
// Loop over the sides that form the boundary condition
const Teuchos::ArrayRCP<Teuchos::ArrayRCP<GO> >& wsElNodeID = workset.disc->getWsElNodeID()[workset.wsIndex];
const Albany::NodalDOFManager& solDOFManager = workset.disc->getOverlapDOFManager("ordinary_solution");
for (std::size_t iSide = 0; iSide < sideSet.size(); ++iSide) { // loop over the sides on this ws and name
// Get the data that corresponds to the side
const int elem_GID = sideSet[iSide].elem_GID;
const int elem_LID = sideSet[iSide].elem_LID;
const int elem_side = sideSet[iSide].side_local_id;
const CellTopologyData_Subcell& side = this->cell_topo->side[elem_side];
int numSideNodes = side.topology->node_count;
const Teuchos::ArrayRCP<GO>& elNodeID = wsElNodeID[elem_LID];
const Teuchos::ArrayRCP<Teuchos::ArrayRCP<int> >& nodeID = workset.wsElNodeEqID[elem_LID];
for (int i = 0; i < numSideNodes; ++i){
std::size_t node = side.node[i];
const Teuchos::ArrayRCP<int>& eqID = nodeID[node];
this->field2D(elem_LID,node) = FadType(numSideNodes*this->vecDim*(numLayers+1), xT_constView[eqID[this->offset]]);
this->field2D(elem_LID,node).fastAccessDx(numSideNodes*this->vecDim*this->fieldLevel+this->vecDim*i+this->offset) = workset.j_coeff;
}
}
}
}
//**********************************************************************
PHX_EVALUATE_FIELDS(WeakDirichletResidual,workset)
{
for (index_t cell = 0; cell < workset.num_cells; ++cell) {
for (std::size_t ip = 0; ip < num_ip; ++ip) {
normal_dot_flux_plus_pen(cell,ip) = ScalarT(0.0);
for (std::size_t dim = 0; dim < num_dim; ++dim) {
normal_dot_flux_plus_pen(cell,ip) += normal(cell,ip,dim) * flux(cell,ip,dim);
}
normal_dot_flux_plus_pen(cell,ip) += sigma(cell,ip) * (dof(cell,ip) - value(cell,ip));
}
}
if(workset.num_cells>0)
Intrepid2::FunctionSpaceTools::
integrate<ScalarT>(residual, normal_dot_flux_plus_pen,
(this->wda(workset).bases[basis_index])->weighted_basis_scalar,
Intrepid2::COMP_CPP);
}
PHX_EVALUATE_FIELDS(TestScatter,workset)
{
// for (int i=0; i < scatter_value.size(); ++i)
// scatter_value[i] = 0.0;
Kokkos::deep_copy(scatter_value.get_static_view(), ScalarT(0.0));
for (index_t cell = 0; cell < workset.num_cells; ++cell) {
ScalarT sum = 0.0;
for (std::size_t node = 0; node < num_nodes; ++node)
sum += value(cell,node);
sum = sum / double(num_nodes);
for (std::size_t node = 0; node < num_nodes; ++node) {
//unsigned node_GID = *** need to fix this ***;
scatter_value(cell,node) = 3.0*sum;
}
}
}
void DOFInterpolation<PHAL::AlbanyTraits::MPJacobian, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
//Intrepid version:
// for (int i=0; i < val_qp.size() ; i++) val_qp[i] = 0.0;
// Intrepid::FunctionSpaceTools:: evaluate<ScalarT>(val_qp, val_node, BF);
const int num_dof = val_node(0,0).size();
const int neq = workset.wsElNodeEqID[0][0].size();
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
//ScalarT& vqp = val_qp(cell,qp);
val_qp(cell,qp) = ScalarT(num_dof, val_node(cell, 0).val() * BF(cell, 0, qp));
if (num_dof) (val_qp(cell,qp)).fastAccessDx(offset) = val_node(cell, 0).fastAccessDx(offset) * BF(cell, 0, qp);
for (std::size_t node=1; node < numNodes; ++node) {
(val_qp(cell,qp)).val() += val_node(cell, node).val() * BF(cell, node, qp);
if (num_dof) (val_qp(cell,qp)).fastAccessDx(neq*node+offset) += val_node(cell, node).fastAccessDx(neq*node+offset) * BF(cell, node, qp);
}
}
}
}
void DOF_PointField<EvalT,TRAITST>::evaluateFields(typename TRAITST::EvalData workset)
{
// Zero out arrays (intrepid does a sum! 1/17/2012)
dof_field.deep_copy(ScalarT(0.0));
// copy coordinates
for (int i = 0; i < coordinates.dimension_0(); ++i)
for (int j = 0; j < coordinates.dimension_1(); ++j)
intrpCoords(i,j) = Sacado::ScalarValue<ScalarT>::eval(coordinates(i,j));
if(workset.num_cells>0) {
// evaluate at reference points
intrepidBasis->getValues(basisRef, intrpCoords, Intrepid2::OPERATOR_VALUE);
// transfer reference basis values to physical frame values
Intrepid2::FunctionSpaceTools::
HGRADtransformVALUE<double>(basis,
basisRef);
// evaluate function at specified points
Intrepid2::FunctionSpaceTools::
evaluate<ScalarT>(dof_field,dof_coeff,basis);
}
}
void GatherExtruded2DField<PHAL::AlbanyTraits::Jacobian, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
Teuchos::RCP<const Tpetra_Vector> xT = workset.xT;
Teuchos::ArrayRCP<const ST> xT_constView = xT->get1dView();
Kokkos::deep_copy(this->field2D.get_kokkos_view(), ScalarT(0.0));
const Albany::LayeredMeshNumbering<LO>& layeredMeshNumbering = *workset.disc->getLayeredMeshNumbering();
const Albany::NodalDOFManager& solDOFManager = workset.disc->getOverlapDOFManager("ordinary_solution");
int numLayers = layeredMeshNumbering.numLayers;
this->fieldLevel = (this->fieldLevel < 0) ? numLayers : this->fieldLevel;
const Teuchos::ArrayRCP<Teuchos::ArrayRCP<GO> >& wsElNodeID = workset.disc->getWsElNodeID()[workset.wsIndex];
for (std::size_t cell=0; cell < workset.numCells; ++cell ) {
const Teuchos::ArrayRCP<GO>& elNodeID = wsElNodeID[cell];
const Teuchos::ArrayRCP<Teuchos::ArrayRCP<int> >& nodeID = workset.wsElNodeEqID[cell];
const int neq = nodeID[0].size();
const std::size_t num_dof = neq * this->numNodes;
for (std::size_t node = 0; node < this->numNodes; ++node) {
int firstunk = neq * node + this->offset;
LO lnodeId = workset.disc->getOverlapNodeMapT()->getLocalElement(elNodeID[node]);
LO base_id, ilayer;
layeredMeshNumbering.getIndices(lnodeId, base_id, ilayer);
LO inode = layeredMeshNumbering.getId(base_id, this->fieldLevel);
typename PHAL::Ref<ScalarT>::type val = (this->field2D)(cell,node);
val = FadType(neq * this->numNodes, xT_constView[solDOFManager.getLocalDOF(inode, this->offset)]);
val.setUpdateValue(!workset.ignore_residual);
val.fastAccessDx(firstunk) = workset.j_coeff;
}
}
}
//**********************************************************************
PHX_EVALUATE_FIELDS(Integrator_DivBasisTimesScalar,workset)
{
// zero the reisdual
residual.deep_copy(ScalarT(0.0));
for (std::size_t cell = 0; cell < workset.num_cells; ++cell) {
for (std::size_t qp = 0; qp < num_qp; ++qp) {
ScalarT tmpVar = 1.0;
for (typename std::vector<PHX::MDField<ScalarT,Cell,IP> >::iterator field = field_multipliers.begin();
field != field_multipliers.end(); ++field)
tmpVar = tmpVar * (*field)(cell,qp);
// no dimension to loop over for scalar fields
tmp(cell,qp) = multiplier * tmpVar * scalar(cell,qp);
}
}
{
// const Kokkos::DynRankView<double,PHX::Device> & weighted_div_basis = (this->wda(workset).bases[basis_index])->weighted_div_basis;
const BasisValues2<double> & bv = *this->wda(workset).bases[basis_index];
for (std::size_t cell = 0; cell < workset.num_cells; ++cell)
for (std::size_t basis = 0; basis < num_nodes; ++basis) {
for (std::size_t qp = 0; qp < num_qp; ++qp)
residual(cell,basis) += tmp(cell,qp)*bv.weighted_div_basis(cell,basis,qp);
}
}
/*
if(workset.num_cells>0) {
Intrepid2::FunctionSpaceTools::
integrate<ScalarT>(residual, tmp,
this->wda(workset).bases[basis_index]->weighted_div_basis,
Intrepid2::COMP_CPP);
}
*/
}
//**********************************************************************
PHX_EVALUATE_FIELDS(DirichletResidual_EdgeBasis,workset)
{
if(workset.num_cells<=0)
return;
residual.deep_copy(ScalarT(0.0));
if(workset.subcell_dim==1) {
Intrepid2::CellTools<ScalarT>::getPhysicalEdgeTangents(edgeTan,
pointValues.jac,
this->wda(workset).subcell_index,
*basis->getCellTopology());
for(std::size_t c=0;c<workset.num_cells;c++) {
for(int b=0;b<dof.dimension(1);b++) {
for(int d=0;d<dof.dimension(2);d++)
residual(c,b) += (dof(c,b,d)-value(c,b,d))*edgeTan(c,b,d);
}
}
}
else if(workset.subcell_dim==2) {
// we need to compute the tangents on each edge for each cell.
// how do we do this????
const shards::CellTopology & parentCell = *basis->getCellTopology();
int cellDim = parentCell.getDimension();
int numEdges = dof.dimension(1);
refEdgeTan = Kokkos::createDynRankView(residual.get_kokkos_view(),"refEdgeTan",numEdges,cellDim);
for(int i=0;i<numEdges;i++) {
Kokkos::DynRankView<double,PHX::Device> refEdgeTan_local("refEdgeTan_local",cellDim);
Intrepid2::CellTools<double>::getReferenceEdgeTangent(refEdgeTan_local, i, parentCell);
for(int d=0;d<cellDim;d++)
refEdgeTan(i,d) = refEdgeTan_local(d);
}
// Loop over workset faces and edge points
for(std::size_t c=0;c<workset.num_cells;c++) {
for(int pt = 0; pt < numEdges; pt++) {
// Apply parent cell Jacobian to ref. edge tangent
for(int i = 0; i < cellDim; i++) {
edgeTan(c, pt, i) = 0.0;
for(int j = 0; j < cellDim; j++){
edgeTan(c, pt, i) += pointValues.jac(c, pt, i, j)*refEdgeTan(pt,j);
}// for j
}// for i
}// for pt
}// for pCell
for(std::size_t c=0;c<workset.num_cells;c++) {
for(int b=0;b<dof.dimension(1);b++) {
for(int d=0;d<dof.dimension(2);d++)
residual(c,b) += (dof(c,b,d)-value(c,b,d))*edgeTan(c,b,d);
}
}
}
else {
// don't know what to do
TEUCHOS_ASSERT(false);
}
// loop over residuals scaling by orientation. This gurantees
// everything is oriented in the "positive" direction, this allows
// sums acrossed processor to be oriented in the same way (right?)
for(std::size_t c=0;c<workset.num_cells;c++) {
for(int b=0;b<dof.dimension(1);b++) {
residual(c,b) *= dof_orientation(c,b);
}
}
}
void panzer::GatherSolution_Epetra<panzer::Traits::Jacobian, Traits,LO,GO>::
evaluateFields(typename Traits::EvalData workset)
{
std::vector<int> LIDs;
// for convenience pull out some objects from workset
std::string blockId = workset.block_id;
const std::vector<std::size_t> & localCellIds = workset.cell_local_ids;
Teuchos::RCP<Epetra_Vector> x;
double seed_value = 0.0;
if (useTimeDerivativeSolutionVector_) {
x = epetraContainer_->get_dxdt();
seed_value = workset.alpha;
}
else {
x = epetraContainer_->get_x();
seed_value = workset.beta;
}
// turn off sensitivies: this may be faster if we don't expand the term
// but I suspect not because anywhere it is used the full complement of
// sensitivies will be needed anyway.
if(disableSensitivities_)
seed_value = 0.0;
// NOTE: A reordering of these loops will likely improve performance
// The "getGIDFieldOffsets may be expensive. However the
// "getElementGIDs" can be cheaper. However the lookup for LIDs
// may be more expensive!
// gather operation for each cell in workset
for(std::size_t worksetCellIndex=0;worksetCellIndex<localCellIds.size();++worksetCellIndex) {
std::size_t cellLocalId = localCellIds[worksetCellIndex];
LIDs = globalIndexer_->getElementLIDs(cellLocalId);
// loop over the fields to be gathered
for(std::size_t fieldIndex=0;
fieldIndex<gatherFields_.size();fieldIndex++) {
int fieldNum = fieldIds_[fieldIndex];
const std::vector<int> & elmtOffset = globalIndexer_->getGIDFieldOffsets(blockId,fieldNum);
if(disableSensitivities_) {
// loop over basis functions and fill the fields
for(std::size_t basis=0;basis<elmtOffset.size();basis++) {
int offset = elmtOffset[basis];
int lid = LIDs[offset];
// set the value and seed the FAD object
(gatherFields_[fieldIndex])(worksetCellIndex,basis) = (*x)[lid];
}
}
else {
// loop over basis functions and fill the fields
for(std::size_t basis=0;basis<elmtOffset.size();basis++) {
int offset = elmtOffset[basis];
int lid = LIDs[offset];
// set the value and seed the FAD object
(gatherFields_[fieldIndex])(worksetCellIndex,basis) = ScalarT(LIDs.size(), (*x)[lid]);
(gatherFields_[fieldIndex])(worksetCellIndex,basis).fastAccessDx(offset) = seed_value;
}
}
}
}
}
void
AnisotropicViscoplasticModel<EvalT, Traits>::computeState(
typename Traits::EvalData workset,
DepFieldMap dep_fields,
FieldMap eval_fields)
{
std::string cauchy_string = (*field_name_map_)["Cauchy_Stress"];
std::string Fp_string = (*field_name_map_)["Fp"];
std::string eqps_string = (*field_name_map_)["eqps"];
std::string ess_string = (*field_name_map_)["ess"];
std::string kappa_string = (*field_name_map_)["iso_Hardening"];
std::string source_string = (*field_name_map_)["Mechanical_Source"];
std::string F_string = (*field_name_map_)["F"];
std::string J_string = (*field_name_map_)["J"];
// extract dependent MDFields
auto def_grad = *dep_fields[F_string];
auto J = *dep_fields[J_string];
auto poissons_ratio = *dep_fields["Poissons Ratio"];
auto elastic_modulus = *dep_fields["Elastic Modulus"];
auto yield_strength = *dep_fields["Yield Strength"];
auto hardening_modulus = *dep_fields["Hardening Modulus"];
auto recovery_modulus = *dep_fields["Recovery Modulus"];
auto flow_exp = *dep_fields["Flow Rule Exponent"];
auto flow_coeff = *dep_fields["Flow Rule Coefficient"];
auto delta_time = *dep_fields["Delta Time"];
// extract evaluated MDFields
auto stress = *eval_fields[cauchy_string];
auto Fp = *eval_fields[Fp_string];
auto eqps = *eval_fields[eqps_string];
auto ess = *eval_fields[ess_string];
auto kappa = *eval_fields[kappa_string];
PHX::MDField<ScalarT> source;
if (have_temperature_) { source = *eval_fields[source_string]; }
// get State Variables
Albany::MDArray Fpold = (*workset.stateArrayPtr)[Fp_string + "_old"];
Albany::MDArray eqpsold = (*workset.stateArrayPtr)[eqps_string + "_old"];
ScalarT bulk, mu, mubar, K, Y;
ScalarT Jm23, trace, smag2, smag, f, p, dgam;
ScalarT sq23(std::sqrt(2. / 3.));
minitensor::Tensor<ScalarT> F(num_dims_), be(num_dims_), s(num_dims_),
sigma(num_dims_);
minitensor::Tensor<ScalarT> N(num_dims_), A(num_dims_), expA(num_dims_),
Fpnew(num_dims_);
minitensor::Tensor<ScalarT> I(minitensor::eye<ScalarT>(num_dims_));
minitensor::Tensor<ScalarT> Fpn(num_dims_), Cpinv(num_dims_), Fe(num_dims_);
minitensor::Tensor<ScalarT> tau(num_dims_), M(num_dims_);
for (int cell(0); cell < workset.numCells; ++cell) {
for (int pt(0); pt < num_pts_; ++pt) {
bulk = elastic_modulus(cell, pt) /
(3. * (1. - 2. * poissons_ratio(cell, pt)));
mu = elastic_modulus(cell, pt) / (2. * (1. + poissons_ratio(cell, pt)));
K = hardening_modulus(cell, pt);
Y = yield_strength(cell, pt);
Jm23 = std::pow(J(cell, pt), -2. / 3.);
// fill local tensors
F.fill(def_grad, cell, pt, 0, 0);
// Mechanical deformation gradient
auto Fm = minitensor::Tensor<ScalarT>(F);
if (have_temperature_) {
// Compute the mechanical deformation gradient Fm based on the
// multiplicative decomposition of the deformation gradient
//
// F = Fm.Ft => Fm = F.inv(Ft)
//
// where Ft is the thermal part of F, given as
//
// Ft = Le * I = exp(alpha * dtemp) * I
//
// Le is the thermal stretch and alpha the coefficient of thermal
// expansion.
ScalarT dtemp = temperature_(cell, pt) - ref_temperature_;
ScalarT thermal_stretch = std::exp(expansion_coeff_ * dtemp);
Fm /= thermal_stretch;
}
// Fpn.fill( &Fpold(cell,pt,int(0),int(0)) );
for (int i(0); i < num_dims_; ++i) {
for (int j(0); j < num_dims_; ++j) {
Fpn(i, j) = ScalarT(Fpold(cell, pt, i, j));
}
}
// compute trial state
// compute the Kirchhoff stress in the current configuration
//
Fe = Fm * minitensor::inverse(Fpn);
Cpinv = minitensor::inverse(Fpn) *
minitensor::transpose(minitensor::inverse(Fpn));
be = Fm * Cpinv * minitensor::transpose(Fm);
ScalarT Je = std::sqrt(minitensor::det(be));
s = mu * minitensor::dev(be);
p = 0.5 * bulk * (Je * Je - 1.);
tau = p * I + s;
// pull back the Kirchhoff stress to the intermediate configuration
// this is the Mandel stress
//
M = minitensor::transpose(Fe) * tau *
minitensor::inverse(minitensor::transpose(Fe));
// check yield condition
smag = minitensor::norm(s);
f = smag - sq23 * (Y + K * eqpsold(cell, pt));
if (f > 1E-12) {
// return mapping algorithm
bool converged = false;
ScalarT g = f;
ScalarT H = 0.0;
ScalarT dH = 0.0;
ScalarT alpha = 0.0;
ScalarT res = 0.0;
int count = 0;
dgam = 0.0;
LocalNonlinearSolver<EvalT, Traits> solver;
std::vector<ScalarT> F(1);
std::vector<ScalarT> dFdX(1);
std::vector<ScalarT> X(1);
F[0] = f;
X[0] = 0.0;
dFdX[0] = (-2. * mubar) * (1. + H / (3. * mubar));
while (!converged && count <= 30) {
count++;
solver.solve(dFdX, X, F);
alpha = eqpsold(cell, pt) + sq23 * X[0];
H = K * alpha;
dH = K;
F[0] = smag - (2. * mubar * X[0] + sq23 * (Y + H));
dFdX[0] = -2. * mubar * (1. + dH / (3. * mubar));
res = std::abs(F[0]);
if (res < 1.e-11 || res / f < 1.E-11) converged = true;
TEUCHOS_TEST_FOR_EXCEPTION(
count == 30,
std::runtime_error,
std::endl
<< "Error in return mapping, count = " << count
<< "\nres = " << res << "\nrelres = " << res / f
<< "\ng = " << F[0] << "\ndg = " << dFdX[0]
<< "\nalpha = " << alpha << std::endl);
}
solver.computeFadInfo(dFdX, X, F);
dgam = X[0];
// plastic direction
N = (1 / smag) * s;
// update s
s -= 2 * mubar * dgam * N;
// update eqps
eqps(cell, pt) = alpha;
// mechanical source
if (have_temperature_ && delta_time(0) > 0) {
source(cell, pt) =
(sq23 * dgam / delta_time(0) * (Y + H + temperature_(cell, pt))) /
(density_ * heat_capacity_);
}
// exponential map to get Fpnew
A = dgam * N;
expA = minitensor::exp(A);
Fpnew = expA * Fpn;
for (int i(0); i < num_dims_; ++i) {
for (int j(0); j < num_dims_; ++j) {
Fp(cell, pt, i, j) = Fpnew(i, j);
}
}
} else {
eqps(cell, pt) = eqpsold(cell, pt);
if (have_temperature_) source(cell, pt) = 0.0;
for (int i(0); i < num_dims_; ++i) {
for (int j(0); j < num_dims_; ++j) { Fp(cell, pt, i, j) = Fpn(i, j); }
}
}
// compute pressure
p = 0.5 * bulk * (J(cell, pt) - 1. / (J(cell, pt)));
// compute stress
sigma = p * I + s / J(cell, pt);
for (int i(0); i < num_dims_; ++i) {
for (int j(0); j < num_dims_; ++j) {
stress(cell, pt, i, j) = sigma(i, j);
}
}
}
}
}
void XZHydrostatic_Pressure<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
const Eta<EvalT> &E = Eta<EvalT>::self();
for (int cell=0; cell < workset.numCells; ++cell) {
for (int node=0; node < numNodes; ++node) {
/*
if(cell == 0 && node == 0){
std::cout << "Etatop = " << E.etatop() <<"\n";
for (int level=0; level < numLevels; ++level) {
std::cout << "Here we are level, eta " << level << " " << E.eta(level) << "\n";
}
for (int level=0; level < numLevels; ++level) {
std::cout << "Here we are A, B " << level << " " << E.A(level) << " " << E.B(level) << "\n";
}
}
*/
for (int level=0; level < numLevels; ++level) {
Pressure(cell,node,level) = E.A(level)*E.p0() + E.B(level)*Ps(cell,node);
//std::cout <<"In Pressure "<< " Ps" << Ps(cell,node) <<" workset time" << workset.current_time << "\n";
}
//here instead of computing eta, A, B, and pressure at level interfaces directly,
//averages are used to approx. pressure at level interfaces.
for (int level=0; level < numLevels; ++level) {
const ScalarT pm = level ? 0.5*( Pressure(cell,node,level) + Pressure(cell,node,level-1) ) : E.ptop();
const ScalarT pp = level<numLevels-1 ? 0.5*( Pressure(cell,node,level) + Pressure(cell,node,level+1) ) : ScalarT(Ps(cell,node));
Pi(cell,node,level) = (pp - pm) /E.delta(level);
}
}
}
}
void ElastoViscoplasticModel<EvalT, Traits>::
computeState(typename Traits::EvalData workset,
std::map<std::string, Teuchos::RCP<PHX::MDField<ScalarT> > > dep_fields,
std::map<std::string, Teuchos::RCP<PHX::MDField<ScalarT> > > eval_fields)
{
std::string cauchy_string = (*field_name_map_)["Cauchy_Stress"];
std::string Fp_string = (*field_name_map_)["Fp"];
std::string eqps_string = (*field_name_map_)["eqps"];
std::string eps_ss_string = (*field_name_map_)["eps_ss"];
std::string kappa_string = (*field_name_map_)["isotropic_hardening"];
std::string source_string = (*field_name_map_)["Mechanical_Source"];
std::string F_string = (*field_name_map_)["F"];
std::string J_string = (*field_name_map_)["J"];
// extract dependent MDFields
PHX::MDField<ScalarT> def_grad_field = *dep_fields[F_string];
PHX::MDField<ScalarT> J = *dep_fields[J_string];
PHX::MDField<ScalarT> poissons_ratio = *dep_fields["Poissons Ratio"];
PHX::MDField<ScalarT> elastic_modulus = *dep_fields["Elastic Modulus"];
PHX::MDField<ScalarT> yield_strength = *dep_fields["Yield Strength"];
PHX::MDField<ScalarT> hardening_modulus = *dep_fields["Hardening Modulus"];
PHX::MDField<ScalarT> recovery_modulus = *dep_fields["Recovery Modulus"];
PHX::MDField<ScalarT> flow_exp = *dep_fields["Flow Rule Exponent"];
PHX::MDField<ScalarT> flow_coeff = *dep_fields["Flow Rule Coefficient"];
PHX::MDField<ScalarT> delta_time = *dep_fields["Delta Time"];
// extract evaluated MDFields
PHX::MDField<ScalarT> stress_field = *eval_fields[cauchy_string];
PHX::MDField<ScalarT> Fp_field = *eval_fields[Fp_string];
PHX::MDField<ScalarT> eqps_field = *eval_fields[eqps_string];
PHX::MDField<ScalarT> eps_ss_field = *eval_fields[eps_ss_string];
PHX::MDField<ScalarT> kappa_field = *eval_fields[kappa_string];
PHX::MDField<ScalarT> source_field;
if (have_temperature_) {
source_field = *eval_fields[source_string];
}
// get State Variables
Albany::MDArray Fp_field_old = (*workset.stateArrayPtr)[Fp_string + "_old"];
Albany::MDArray eqps_field_old = (*workset.stateArrayPtr)[eqps_string + "_old"];
Albany::MDArray eps_ss_field_old = (*workset.stateArrayPtr)[eps_ss_string + "_old"];
Albany::MDArray kappa_field_old = (*workset.stateArrayPtr)[kappa_string + "_old"];
// define constants
RealType sq23(std::sqrt(2. / 3.));
RealType sq32(std::sqrt(3. / 2.));
// pre-define some tensors that will be re-used below
Intrepid::Tensor<ScalarT> F(num_dims_), be(num_dims_);
Intrepid::Tensor<ScalarT> s(num_dims_), sigma(num_dims_);
Intrepid::Tensor<ScalarT> N(num_dims_), A(num_dims_);
Intrepid::Tensor<ScalarT> expA(num_dims_), Fpnew(num_dims_);
Intrepid::Tensor<ScalarT> I(Intrepid::eye<ScalarT>(num_dims_));
Intrepid::Tensor<ScalarT> Fpn(num_dims_), Cpinv(num_dims_), Fpinv(num_dims_);
for (std::size_t cell(0); cell < workset.numCells; ++cell) {
for (std::size_t pt(0); pt < num_pts_; ++pt) {
ScalarT bulk = elastic_modulus(cell, pt)
/ (3. * (1. - 2. * poissons_ratio(cell, pt)));
ScalarT mu = elastic_modulus(cell, pt) / (2. * (1. + poissons_ratio(cell, pt)));
ScalarT Y = yield_strength(cell, pt);
ScalarT Jm23 = std::pow(J(cell, pt), -2. / 3.);
// assign local state variables
//
//ScalarT kappa = kappa_field(cell,pt);
ScalarT kappa_old = kappa_field_old(cell,pt);
ScalarT eps_ss = eps_ss_field(cell,pt);
ScalarT eps_ss_old = eps_ss_field_old(cell,pt);
ScalarT eqps_old = eqps_field_old(cell,pt);
// fill local tensors
//
F.fill(&def_grad_field(cell, pt, 0, 0));
for (std::size_t i(0); i < num_dims_; ++i) {
for (std::size_t j(0); j < num_dims_; ++j) {
Fpn(i, j) = ScalarT(Fp_field_old(cell, pt, i, j));
}
}
// compute trial state
// compute the Kirchhoff stress in the current configuration
//
Cpinv = Intrepid::inverse(Fpn) * Intrepid::transpose(Intrepid::inverse(Fpn));
be = Jm23 * F * Cpinv * Intrepid::transpose(F);
s = mu * Intrepid::dev(be);
ScalarT smag = Intrepid::norm(s);
ScalarT mubar = Intrepid::trace(be) * mu / (num_dims_);
// check yield condition
//
ScalarT Phi = sq32 * smag - ( Y + kappa_old );
std::cout << "======== Phi: " << Phi << std::endl;
std::cout << "======== eps: " << std::numeric_limits<RealType>::epsilon() << std::endl;
if (Phi > std::numeric_limits<RealType>::epsilon()) {
// return mapping algorithm
//
bool converged = false;
int iter = 0;
RealType max_norm = std::numeric_limits<RealType>::min();
// hardening and recovery parameters
//
ScalarT H = hardening_modulus(cell, pt);
ScalarT Rd = recovery_modulus(cell, pt);
// flow rule temperature dependent parameters
//
ScalarT f = flow_coeff(cell,pt);
ScalarT n = flow_exp(cell,pt);
// This solver deals with Sacado type info
//
LocalNonlinearSolver<EvalT, Traits> solver;
// create some vectors to store solver data
//
std::vector<ScalarT> R(2);
std::vector<ScalarT> dRdX(4);
std::vector<ScalarT> X(2);
// initial guess
X[0] = 0.0;
X[1] = eps_ss_old;
// create a copy of be as a Fad
Intrepid::Tensor<Fad> beF(num_dims_);
for (std::size_t i = 0; i < num_dims_; ++i) {
for (std::size_t j = 0; j < num_dims_; ++j) {
beF(i, j) = be(i, j);
}
}
Fad two_mubarF = 2.0 * Intrepid::trace(beF) * mu / (num_dims_);
//Fad sq32F = std::sqrt(3.0/2.0);
// FIXME this seems to be necessary to get PhiF to compile below
// need to look into this more, it appears to be a conflict
// between the Intrepid::norm and FadType operations
//
Fad smagF = smag;
while (!converged) {
// set up data types
//
std::vector<Fad> XFad(2);
std::vector<Fad> RFad(2);
std::vector<ScalarT> Xval(2);
for (std::size_t i = 0; i < 2; ++i) {
Xval[i] = Sacado::ScalarValue<ScalarT>::eval(X[i]);
XFad[i] = Fad(2, i, Xval[i]);
}
// get solution vars
//
Fad dgamF = XFad[0];
Fad eps_ssF = XFad[1];
// compute yield function
//
Fad eqps_rateF = 0.0;
if (delta_time(0) > 0) eqps_rateF = sq23 * dgamF / delta_time(0);
Fad rate_termF = 1.0 + std::asinh( std::pow(eqps_rateF / f, n));
Fad kappaF = two_mubarF * eps_ssF;
Fad PhiF = sq32 * (smagF - two_mubarF * dgamF) - ( Y + kappaF ) * rate_termF;
// compute the hardening residual
//
Fad eps_resF = eps_ssF - eps_ss_old - (H - Rd*eps_ssF) * dgamF;
// for convenience put the residuals into a container
//
RFad[0] = PhiF;
RFad[1] = eps_resF;
// extract the values of the residuals
//
for (int i = 0; i < 2; ++i)
R[i] = RFad[i].val();
// extract the sensitivities of the residuals
//
for (int i = 0; i < 2; ++i)
for (int j = 0; j < 2; ++j)
dRdX[i + 2 * j] = RFad[i].dx(j);
// this call invokes the solver and updates the solution in X
//
solver.solve(dRdX, X, R);
// compute the norm of the residual
//
RealType R0 = Sacado::ScalarValue<ScalarT>::eval(R[0]);
RealType R1 = Sacado::ScalarValue<ScalarT>::eval(R[1]);
RealType norm_res = std::sqrt(R0*R0 + R1*R1);
max_norm = std::max(norm_res, max_norm);
// check against too many inerations
//
TEUCHOS_TEST_FOR_EXCEPTION(iter == 30, std::runtime_error,
std::endl <<
"Error in ElastoViscoplastic return mapping\n" <<
"iter count = " << iter << "\n" << std::endl);
// check for a sufficiently small residual
//
std::cout << "======== norm_res : " << norm_res << std::endl;
if ( (norm_res/max_norm < 1.e-12) || (norm_res < 1.e-12) )
converged = true;
// increment the iteratio counter
//
iter++;
}
solver.computeFadInfo(dRdX, X, R);
ScalarT dgam = X[0];
ScalarT eps_ss = X[1];
ScalarT kappa = 2.0 * mubar * eps_ss;
std::cout << "======== dgam : " << dgam << std::endl;
std::cout << "======== e_ss : " << eps_ss << std::endl;
std::cout << "======== kapp : " << kappa << std::endl;
// plastic direction
N = (1 / smag) * s;
// update s
s -= 2 * mubar * dgam * N;
// update state variables
eps_ss_field(cell, pt) = eps_ss;
eqps_field(cell,pt) = eqps_old + sq23 * dgam;
kappa_field(cell,pt) = kappa;
// mechanical source
// FIXME this is not correct, just a placeholder
//
if (have_temperature_ && delta_time(0) > 0) {
source_field(cell, pt) = (sq23 * dgam / delta_time(0))
* (Y + kappa) / (density_ * heat_capacity_);
}
// exponential map to get Fpnew
//
A = dgam * N;
expA = Intrepid::exp(A);
Fpnew = expA * Fpn;
for (std::size_t i(0); i < num_dims_; ++i) {
for (std::size_t j(0); j < num_dims_; ++j) {
Fp_field(cell, pt, i, j) = Fpnew(i, j);
}
}
} else {
// we are not yielding, variables do not evolve
//
eps_ss_field(cell, pt) = eps_ss_old;
eqps_field(cell,pt) = eqps_old;
kappa_field(cell,pt) = kappa_old;
if (have_temperature_) source_field(cell, pt) = 0.0;
for (std::size_t i(0); i < num_dims_; ++i) {
for (std::size_t j(0); j < num_dims_; ++j) {
Fp_field(cell, pt, i, j) = Fpn(i, j);
}
}
}
// compute pressure
ScalarT p = 0.5 * bulk * (J(cell, pt) - 1. / (J(cell, pt)));
// compute stress
sigma = p * I + s / J(cell, pt);
for (std::size_t i(0); i < num_dims_; ++i) {
for (std::size_t j(0); j < num_dims_; ++j) {
stress_field(cell, pt, i, j) = sigma(i, j);
}
}
}
}
if (have_temperature_) {
for (std::size_t cell(0); cell < workset.numCells; ++cell) {
for (std::size_t pt(0); pt < num_pts_; ++pt) {
F.fill(&def_grad_field(cell,pt,0,0));
ScalarT J = Intrepid::det(F);
sigma.fill(&stress_field(cell,pt,0,0));
sigma -= 3.0 * expansion_coeff_ * (1.0 + 1.0 / (J*J))
* (temperature_(cell,pt) - ref_temperature_) * I;
for (std::size_t i = 0; i < num_dims_; ++i) {
for (std::size_t j = 0; j < num_dims_; ++j) {
stress_field(cell, pt, i, j) = sigma(i, j);
}
}
}
}
}
}
KOKKOS_INLINE_FUNCTION void
J2MiniKernel<EvalT, Traits>::operator()(int cell, int pt) const
{
constexpr minitensor::Index MAX_DIM{3};
using Tensor = minitensor::Tensor<ScalarT, MAX_DIM>;
Tensor F(num_dims_);
Tensor const I(minitensor::eye<ScalarT, MAX_DIM>(num_dims_));
Tensor sigma(num_dims_);
ScalarT const E = elastic_modulus_(cell, pt);
ScalarT const nu = poissons_ratio_(cell, pt);
ScalarT const kappa = E / (3.0 * (1.0 - 2.0 * nu));
ScalarT const mu = E / (2.0 * (1.0 + nu));
ScalarT const K = hardening_modulus_(cell, pt);
ScalarT const Y = yield_strength_(cell, pt);
ScalarT const J1 = J_(cell, pt);
ScalarT const Jm23 = 1.0 / std::cbrt(J1 * J1);
// fill local tensors
F.fill(def_grad_, cell, pt, 0, 0);
// Mechanical deformation gradient
auto Fm = Tensor(F);
if (have_temperature_) {
// Compute the mechanical deformation gradient Fm based on the
// multiplicative decomposition of the deformation gradient
//
// F = Fm.Ft => Fm = F.inv(Ft)
//
// where Ft is the thermal part of F, given as
//
// Ft = Le * I = exp(alpha * dtemp) * I
//
// Le = exp(alpha*dtemp) is the thermal stretch and alpha the
// coefficient of thermal expansion.
ScalarT dtemp = temperature_(cell, pt) - ref_temperature_;
ScalarT thermal_stretch = std::exp(expansion_coeff_ * dtemp);
Fm /= thermal_stretch;
}
Tensor Fpn(num_dims_);
for (int i{0}; i < num_dims_; ++i) {
for (int j{0}; j < num_dims_; ++j) {
Fpn(i, j) = ScalarT(Fp_old_(cell, pt, i, j));
}
}
// compute trial state
Tensor const Fpinv = minitensor::inverse(Fpn);
Tensor const Cpinv = Fpinv * minitensor::transpose(Fpinv);
Tensor const be = Jm23 * Fm * Cpinv * minitensor::transpose(Fm);
Tensor s = mu * minitensor::dev(be);
ScalarT const mubar = minitensor::trace(be) * mu / (num_dims_);
// check yield condition
ScalarT const smag = minitensor::norm(s);
ScalarT const f =
smag -
SQ23 * (Y + K * eqps_old_(cell, pt) +
sat_mod_ * (1.0 - std::exp(-sat_exp_ * eqps_old_(cell, pt))));
RealType constexpr yield_tolerance = 1.0e-12;
if (f > yield_tolerance) {
// Use minimization equivalent to return mapping
using ValueT = typename Sacado::ValueType<ScalarT>::type;
using NLS = J2NLS<EvalT>;
constexpr minitensor::Index nls_dim{NLS::DIMENSION};
using MIN = minitensor::Minimizer<ValueT, nls_dim>;
using STEP = minitensor::NewtonStep<NLS, ValueT, nls_dim>;
MIN minimizer;
STEP step;
NLS j2nls(sat_mod_, sat_exp_, eqps_old_(cell, pt), K, smag, mubar, Y);
minitensor::Vector<ScalarT, nls_dim> x;
x(0) = 0.0;
LCM::MiniSolver<MIN, STEP, NLS, EvalT, nls_dim> mini_solver(
minimizer, step, j2nls, x);
ScalarT const alpha = eqps_old_(cell, pt) + SQ23 * x(0);
ScalarT const H = K * alpha + sat_mod_ * (1.0 - exp(-sat_exp_ * alpha));
ScalarT const dgam = x(0);
// plastic direction
Tensor const N = (1 / smag) * s;
// update s
s -= 2 * mubar * dgam * N;
// update eqps
eqps_(cell, pt) = alpha;
// mechanical source
if (have_temperature_ == true && delta_time_(0) > 0) {
source_(cell, pt) =
(SQ23 * dgam / delta_time_(0) * (Y + H + temperature_(cell, pt))) /
(density_ * heat_capacity_);
}
// exponential map to get Fpnew
Tensor const A = dgam * N;
Tensor const expA = minitensor::exp(A);
Tensor const Fpnew = expA * Fpn;
for (int i{0}; i < num_dims_; ++i) {
for (int j{0}; j < num_dims_; ++j) { Fp_(cell, pt, i, j) = Fpnew(i, j); }
}
} else {
eqps_(cell, pt) = eqps_old_(cell, pt);
if (have_temperature_ == true) source_(cell, pt) = 0.0;
for (int i{0}; i < num_dims_; ++i) {
for (int j{0}; j < num_dims_; ++j) { Fp_(cell, pt, i, j) = Fpn(i, j); }
}
}
// update yield surface
yield_surf_(cell, pt) =
Y + K * eqps_(cell, pt) +
sat_mod_ * (1. - std::exp(-sat_exp_ * eqps_(cell, pt)));
// compute pressure
ScalarT const p = 0.5 * kappa * (J_(cell, pt) - 1. / (J_(cell, pt)));
// compute stress
sigma = p * I + s / J_(cell, pt);
for (int i(0); i < num_dims_; ++i) {
for (int j(0); j < num_dims_; ++j) {
stress_(cell, pt, i, j) = sigma(i, j);
}
}
}
ScalarT value( const std::vector<ScalarT> &x, Real &tol ) {
return ScalarT(-1.0);
}
void panzer::GatherSolution_Epetra<panzer::Traits::SGJacobian, TRAITS,LO,GO>::
evaluateFields(typename TRAITS::EvalData workset)
{
std::vector<GO> GIDs;
std::vector<int> LIDs;
// for convenience pull out some objects from workset
std::string blockId = this->wda(workset).block_id;
const std::vector<std::size_t> & localCellIds = this->wda(workset).cell_local_ids;
Teuchos::RCP<Stokhos::OrthogPolyExpansion<int,double> > expansion = sgEpetraContainer_->getExpansion();
Teuchos::RCP<Epetra_Vector> x_template;
double seed_value = 0.0;
if (useTimeDerivativeSolutionVector_) {
x_template = (*sgEpetraContainer_->begin())->get_dxdt();
seed_value = workset.alpha;
}
else {
x_template = (*sgEpetraContainer_->begin())->get_x();
seed_value = workset.beta;
}
// NOTE: A reordering of these loops will likely improve performance
// The "getGIDFieldOffsets may be expensive. However the
// "getElementGIDs" can be cheaper. However the lookup for LIDs
// may be more expensive!
// gather operation for each cell in workset
for(std::size_t worksetCellIndex=0;worksetCellIndex<localCellIds.size();++worksetCellIndex) {
std::size_t cellLocalId = localCellIds[worksetCellIndex];
globalIndexer_->getElementGIDs(cellLocalId,GIDs,blockId);
// caculate the local IDs for this element
LIDs.resize(GIDs.size());
for(std::size_t i=0;i<GIDs.size();i++)
LIDs[i] = x_template->Map().LID(GIDs[i]);
// loop over the fields to be gathered
for(std::size_t fieldIndex=0;
fieldIndex<gatherFields_.size();fieldIndex++) {
int fieldNum = fieldIds_[fieldIndex];
const std::vector<int> & elmtOffset = globalIndexer_->getGIDFieldOffsets(blockId,fieldNum);
// loop over basis functions and fill the fields
for(std::size_t basis=0;basis<elmtOffset.size();basis++) {
int offset = elmtOffset[basis];
int lid = LIDs[offset];
PHX::MDField<ScalarT,Cell,NODE> field = (gatherFields_[fieldIndex]);
// ScalarT & field = (gatherFields_[fieldIndex])(worksetCellIndex,basis);
field(worksetCellIndex,basis) = ScalarT(GIDs.size(), 0.0);
// set the value and seed the FAD object
field(worksetCellIndex,basis).fastAccessDx(offset) = seed_value;
field(worksetCellIndex,basis).val().reset(expansion);
field(worksetCellIndex,basis).val().copyForWrite();
// loop over stochastic basis initialzing field gather values
int stochIndex = 0;
panzer::SGEpetraLinearObjContainer::iterator itr;
for(itr=sgEpetraContainer_->begin();itr!=sgEpetraContainer_->end();++itr,++stochIndex) {
// extract solution and time derivative vectors
Teuchos::RCP<Epetra_Vector> x;
if (useTimeDerivativeSolutionVector_)
x = (*itr)->get_dxdt();
else
x = (*itr)->get_x();
field(worksetCellIndex,basis).val().fastAccessCoeff(stochIndex) = (*x)[lid];
}
}
}
}
}
void NewtonianFluidModel<EvalT, Traits>::
computeState(typename Traits::EvalData workset,
std::map<std::string, Teuchos::RCP<PHX::MDField<ScalarT>>> dep_fields,
std::map<std::string, Teuchos::RCP<PHX::MDField<ScalarT>>> eval_fields)
{
std::string F_string = (*field_name_map_)["F"];
std::string cauchy_string = (*field_name_map_)["Cauchy_Stress"];
// extract dependent MDFields
PHX::MDField<ScalarT> def_grad = *dep_fields[F_string];
PHX::MDField<ScalarT> delta_time = *dep_fields["Delta Time"];
// extract evaluated MDFields
PHX::MDField<ScalarT> stress = *eval_fields[cauchy_string];
// get State Variables
Albany::MDArray def_grad_old = (*workset.stateArrayPtr)[F_string + "_old"];
// pressure is hard coded as 1 for now
// this is likely not general enough :)
ScalarT p = 1;
// time increment
ScalarT dt = delta_time(0);
// containers
Intrepid2::Tensor<ScalarT> Fnew(num_dims_);
Intrepid2::Tensor<ScalarT> Fold(num_dims_);
Intrepid2::Tensor<ScalarT> Finc(num_dims_);
Intrepid2::Tensor<ScalarT> L(num_dims_);
Intrepid2::Tensor<ScalarT> D(num_dims_);
Intrepid2::Tensor<ScalarT> sigma(num_dims_);
Intrepid2::Tensor<ScalarT> I(Intrepid2::eye<ScalarT>(num_dims_));
for (int cell(0); cell < workset.numCells; ++cell) {
for (int pt(0); pt < num_pts_; ++pt) {
// should only be the first time step
if ( dt == 0 ) {
for (int i=0; i < num_dims_; ++i)
for (int j=0; j < num_dims_; ++j)
stress(cell,pt,i,j) = 0.0;
}
else {
// old deformation gradient
for (int i=0; i < num_dims_; ++i)
for (int j=0; j < num_dims_; ++j)
Fold(i,j) = ScalarT(def_grad_old(cell,pt,i,j));
// current deformation gradient
Fnew.fill(def_grad,cell,pt,0,0);
// incremental deformation gradient
Finc = Fnew * Intrepid2::inverse(Fold);
// velocity gradient
L = (1.0/dt) * Intrepid2::log(Finc);
// strain rate (a.k.a rate of deformation)
D = Intrepid2::sym(L);
// stress tensor
sigma = -p*I + 2.0*mu_*( D - (2.0/3.0)*Intrepid2::trace(D)*I);
// update stress state
for (int i=0; i < num_dims_; ++i)
for (int j=0; j < num_dims_; ++j)
stress(cell,pt,i,j) = sigma(i,j);
}
}
}
}
