void GatherCoordinateVector<PHAL::AlbanyTraits::Tangent, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
unsigned int numCells = workset.numCells;
Teuchos::ArrayRCP<Teuchos::ArrayRCP<double*> > wsCoords = workset.wsCoords;
const Teuchos::ArrayRCP<Teuchos::ArrayRCP<Teuchos::ArrayRCP<Teuchos::ArrayRCP<double> > > > & ws_coord_derivs = workset.ws_coord_derivs;
std::vector<int> *coord_deriv_indices = workset.coord_deriv_indices;
int numShapeDerivs = ws_coord_derivs.size();
int numParams = workset.num_cols_p;
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVec(cell,node,eq) = TanFadType(numParams, wsCoords[cell][node][eq]);
for (int j=0; j < numShapeDerivs; ++j) {
coordVec(cell,node,eq).fastAccessDx((*coord_deriv_indices)[j])
= ws_coord_derivs[j][cell][node][eq];
}
}
}
}
// Since Intrepid2 will later perform calculations on the entire workset size
// and not just the used portion, we must fill the excess with reasonable
// values. Leaving this out leads to calculations on singular elements.
//
for (std::size_t cell=numCells; cell < worksetSize; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVec(cell,node,eq) = coordVec(0,node,eq);
}
}
}
}
void GatherCoordinateVector<EvalT, Traits>::evaluateFields(typename Traits::EvalData workset)
{
if (memoizer_.have_stored_data(workset)) return;
unsigned int numCells = workset.numCells;
Teuchos::ArrayRCP<Teuchos::ArrayRCP<double*> > wsCoords = workset.wsCoords;
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t node = 0; node < numNodes; ++node) {
for (std::size_t i=0; i < numCoords; ++i) {
coordVec(cell,node,i) = wsCoords[cell][node][i];
}
}
}
// Since Intrepid2 will later perform calculations on the entire workset size
// and not just the used portion, we must fill the excess with reasonable
// values. Leaving this out leads to calculations on singular elements.
for (std::size_t cell=numCells; cell < worksetSize; ++cell) {
for (std::size_t node = 0; node < numNodes; ++node) {
for (std::size_t i=0; i < numCoords; ++i) {
coordVec(cell,node,i) = coordVec(0,node,i);
}
}
}
}
void StokesL1L2BodyForce<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
if (bf_type == NONE) {
for (std::size_t cell=0; cell < workset.numCells; ++cell)
for (std::size_t qp=0; qp < numQPs; ++qp)
for (std::size_t i=0; i < vecDim; ++i)
force(cell,qp,i) = 0.0;
}
else if (bf_type == L1L2_SINCOS) {
double xphase=0.0, yphase=0.0;
double r = 3*pi;
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
ScalarT* f = &force(cell,qp,0);
MeshScalarT x2pi = 2.0*pi*coordVec(cell,qp,0);
MeshScalarT y2pi = 2.0*pi*coordVec(cell,qp,1);
MeshScalarT muargt = 2.0*pi*cos(x2pi + xphase)*cos(y2pi + yphase) + r;
MeshScalarT muqp = pow(A, -1.0/n)*pow(muargt, 1.0/n - 1.0);
MeshScalarT dmuargtdx = -4.0*pi*pi*sin(x2pi + xphase)*cos(y2pi + yphase);
MeshScalarT dmuargtdy = -4.0*pi*pi*cos(x2pi + xphase)*sin(y2pi + yphase);
MeshScalarT exx = 2.0*pi*cos(x2pi + xphase)*cos(y2pi + yphase) + r;
MeshScalarT eyy = -2.0*pi*cos(x2pi + xphase)*cos(y2pi + yphase) - r;
MeshScalarT exy = 0.0;
f[0] = 2.0*muqp*(-4.0*pi*pi*sin(x2pi + xphase)*cos(y2pi + yphase))
+ 2.0*pow(A, -1.0/n)*(1.0/n - 1.0)*pow(muargt, 1.0/n - 2.0)*(dmuargtdx*(2.0*exx + eyy) + dmuargtdy*exy);
f[1] = 2.0*muqp*(4.0*pi*pi*cos(x2pi + xphase)*sin(y2pi + yphase))
+ 2.0*pow(A, -1.0/n)*(1.0/n - 1.0)*pow(muargt, 1.0/n - 2.0)*(dmuargtdx*exy + dmuargtdy*(exx + 2.0*eyy));
}
}
}
}
void BiotModulus<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
int numCells = workset.numCells;
if (is_constant) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
biotModulus(cell,qp) = constant_value;
}
}
}
else {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (int i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
biotModulus(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
if (isPoroElastic) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
// 1/M = (B-phi)/Ks + phi/Kf
biotModulus(cell,qp) = 1/((biotCoefficient(cell,qp) - porosity(cell,qp))/GrainBulkModulus
+ porosity(cell,qp)/FluidBulkModulus);
}
}
}
}
void BiotCoefficient<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
int numCells = workset.numCells;
if (is_constant) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
biotCoefficient(cell,qp) = constant_value;
}
}
}
else {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (int i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
biotCoefficient(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
if (isPoroElastic) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
// assume that bulk modulus is linear with respect to porosity
biotCoefficient(cell,qp) = 1.0 - Kskeleton_value/Kgrain_value;
}
}
}
}
void Permittivity<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
if (is_constant) {
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
permittivity(cell,qp) = constant_value;
}
}
}
else {
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (std::size_t i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
if (randField == UNIFORM)
permittivity(cell,qp) = exp_rf_kl->evaluate(point, rv);
else if (randField == LOGNORMAL)
permittivity(cell,qp) = std::exp(exp_rf_kl->evaluate(point, rv));
}
}
}
}
void HardeningModulus<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
int numCells = workset.numCells;
if (is_constant) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
hardeningModulus(cell,qp) = constant_value;
}
}
}
else {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (int i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
hardeningModulus(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
if (isThermoElastic) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
hardeningModulus(cell,qp) -= dHdT_value * (Temperature(cell,qp) - refTemp);
}
}
}
}
void RecoveryModulus<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
int numCells = workset.numCells;
if (is_constant) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
recoveryModulus(cell,qp) = constant_value;
}
}
}
#ifdef ALBANY_STOKHOS
else {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (int i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
recoveryModulus(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
#endif
if (isThermoElastic) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
if (Temperature(cell,qp) != 0)
recoveryModulus(cell,qp) = c1 * std::exp(c2 / Temperature(cell,qp));
else
recoveryModulus(cell,qp) = 0.0;
}
}
}
}
void BulkModulus<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
if (is_constant) {
for (unsigned int cell=0; cell < workset.numCells; ++cell) {
for (unsigned int qp=0; qp < numQPs; ++qp) {
bulkModulus(cell,qp) = constant_value;
}
}
}
#ifdef ALBANY_STOKHOS
else {
for (unsigned int cell=0; cell < workset.numCells; ++cell) {
for (unsigned int qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (unsigned int i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
bulkModulus(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
#endif
if (isThermoElastic) {
for (int cell=0; cell < workset.numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
bulkModulus(cell,qp) -= dKdT_value * (Temperature(cell,qp) - refTemp);
}
}
}
}
void TauContribution<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
std::size_t numCells = workset.numCells;
if (is_constant) {
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
tauFactor(cell,qp) = constant_value;
}
}
}
else {
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (std::size_t i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
tauFactor(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
tauFactor(cell,qp) = DL(cell,qp)*Clattice(cell,qp)*VmPartial/
( Rideal*temperature(cell,qp) );
}
}
}
void KCPermeability<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
std::size_t numCells = workset.numCells;
if (is_constant) {
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
kcPermeability(cell,qp) = constant_value;
}
}
}
else {
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (std::size_t i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
kcPermeability(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
if (isPoroElastic) {
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
// Cozeny Karman permeability equation
kcPermeability(cell,qp) = constant_value*porosity(cell,qp)*porosity(cell,qp)*porosity(cell,qp)/
(1-porosity(cell,qp)*porosity(cell,qp));
}
}
}
}
void
Trigonometric<EvalT,Traits>::
evaluateFields(typename Traits::EvalData workset){
// Loop over cells, quad points: compute Trigonometric Source Term
if (m_num_dim == 2) {
for (std::size_t cell = 0; cell < workset.numCells; ++cell) {
for (std::size_t iqp=0; iqp<m_num_qp; iqp++) {
//MeshScalarT *X = &coordVec(cell,iqp,0);
m_source(cell, iqp) = 8.0*pi*pi*sin(2.0*pi*coordVec(cell,iqp,0))*cos(2.0*pi*coordVec(cell,iqp,1));
}
}
}
else {
std::cout << "Trigonometric source implemented only for 2D; setting f = 1 constant source." << std::endl;
for (std::size_t cell = 0; cell < workset.numCells; ++cell) {
for (std::size_t iqp=0; iqp<m_num_qp; iqp++) {
m_source(cell, iqp) = m_constant;
}
}
}
}
void GatherCoordinateVector<EvalT, Traits>::evaluateFields(typename Traits::EvalData workset)
{
unsigned int numCells = workset.numCells;
Teuchos::ArrayRCP<Teuchos::ArrayRCP<double*> > wsCoords = workset.wsCoords;
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVec(cell,node,eq) = wsCoords[cell][node][eq];
}
}
}
// Since Intrepid will later perform calculations on the entire workset size
// and not just the used portion, we must fill the excess with reasonable
// values. Leaving this out leads to calculations on singular elements.
for (std::size_t cell=numCells; cell < worksetSize; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVec(cell,node,eq) = coordVec(0,node,eq);
}
}
}
}
void SaturationModulus<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
bool print = false;
//if (typeid(ScalarT) == typeid(RealType)) print = true;
if (print)
std::cout << " *** SaturatioModulus *** " << std::endl;
int numCells = workset.numCells;
if (is_constant) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
satMod(cell,qp) = constant_value;
}
}
}
#ifdef ALBANY_STOKHOS
else {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (int i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
satMod(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
#endif
if (isThermoElastic) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
satMod(cell,qp) -= dSdT_value * (Temperature(cell,qp) - refTemp);
if (print)
{
std::cout << " S : " << satMod(cell,qp) << std::endl;
std::cout << " temp: " << Temperature(cell,qp) << std::endl;
std::cout << " dSdT: " << dSdT_value << std::endl;
std::cout << " refT: " << refTemp << std::endl;
}
}
}
}
}
void XZScalarAdvectionResid<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
// Constants
L = 2.5e6 // Latent Heat J/kg
cp = 1004.64 // Specfic Heat J/kg/K
std::vector<ScalarT> vel(2);
for (std::size_t i=0; i < Residual.size(); ++i) Residual(i)=0.0;
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
if (coordVec(cell,qp,1) > 5.0) vel[0] = Re;
else vel[0] = 0.0;
vel[1] = 0.0;
for (std::size_t node=0; node < numNodes; ++node) {
// Transient Term
// Residual(cell,node) += rhoDot(cell,qp)*wBF(cell,node,qp);
Residual(cell,node,0) += rhoDot(cell,qp)*wBF(cell,node,qp);
Residual(cell,node,1) += tempDot(cell,qp)*wBF(cell,node,qp);
Residual(cell,node,2) += qvDot(cell,qp)*wBF(cell,node,qp);
Residual(cell,node,3) += qcDot(cell,qp)*wBF(cell,node,qp);
// Compute saturation mixing ratio for condensation rate with Teton's formula
// Saturation vapor pressure, temp in Celcius, equation valid over [-35,35] with a 3% error
qvs = 3.8 / rhoDot(cell,qp) * exp(17.27 * (tempGrad(cell,qp) - 273.)/(tempGrad(cell,qp) - 36.));
C = max( (qvDot(cell,qp) - qvs)/( 1. + qvs*((4093.*L)/(cp*tempDot(cell,qp)-36.)^2.) ) , -qcDot(cell,qp) );
Tv = T * (1 + 0.6*qv);
// Advection Term
for (std::size_t j=0; j < numDims; ++j) {
Residual(cell,node,0) += vel[j]*rhoGrad(cell,qp,j)*wBF(cell,node,qp);
Residual(cell,node,1) += vel[j]*tempGrad(cell,qp,j)*wBF(cell,node,qp)+L/cp*C;
Residual(cell,node,2) += vel[j]*qvGrad(cell,qp,j)*wBF(cell,node,qp)-C;
Residual(cell,node,3) += vel[j]*qcGrad(cell,qp,j)*wBF(cell,node,qp)+C;
}
}
}
}
}
void PHAL::ResponseFieldIntegralT<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
// Zero out local response
for (typename PHX::MDField<ScalarT>::size_type i=0;
i<this->local_response.size(); i++)
this->local_response[i] = 0.0;
if( ebNames.size() == 0 ||
std::find(ebNames.begin(), ebNames.end(), workset.EBName) != ebNames.end() ) {
ScalarT s;
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
bool cellInBox = false;
for (std::size_t qp=0; qp < numQPs; ++qp) {
if( (!limitX || (coordVec(cell,qp,0) >= xmin && coordVec(cell,qp,0) <= xmax)) &&
(!limitY || (coordVec(cell,qp,1) >= ymin && coordVec(cell,qp,1) <= ymax)) &&
(!limitZ || (coordVec(cell,qp,2) >= zmin && coordVec(cell,qp,2) <= zmax)) ) {
cellInBox = true; break; }
}
if( !cellInBox ) continue;
for (std::size_t qp=0; qp < numQPs; ++qp) {
if (field_rank == 2) {
s = field(cell,qp) * weights(cell,qp) * scaling;
this->local_response(cell) += s;
this->global_response(0) += s;
}
else if (field_rank == 3) {
for (std::size_t dim=0; dim < field_components.size(); ++dim) {
s = field(cell,qp,field_components[dim]) * weights(cell,qp) * scaling;
this->local_response(cell,dim) += s;
this->global_response(dim) += s;
}
}
else if (field_rank == 4) {
for (std::size_t dim1=0; dim1 < field_dims[2]; ++dim1) {
for (std::size_t dim2=0; dim2 < field_dims[3]; ++dim2) {
s = field(cell,qp,dim1,dim2) * weights(cell,qp) * scaling;
this->local_response(cell,dim1,dim2) += s;
this->global_response(dim1,dim2) += s;
}
}
}
}
}
}
// Do any local-scattering necessary
PHAL::SeparableScatterScalarResponseT<EvalT,Traits>::evaluateFields(workset);
}
void PointSource<EvalT,Traits>::evaluateFields(typename Traits::EvalData workset)
{
const RealType time = workset.current_time;
for (std::size_t cell = 0; cell < workset.numCells; ++cell) {
for (std::size_t iqp=0; iqp<m_num_qp; iqp++) {
std::vector<MeshScalarT> coord;
for (std::size_t i=0; i<m_num_dim; ++i) {
const MeshScalarT x = coordVec(cell,iqp,i);
coord.push_back(x);
}
//ScalarT &p_s = m_pressure_source(cell,iqp);
m_pressure_source(cell,iqp) = 0;
const RealType wavelet = m_wavelet->evaluateFields(time);
for (std::size_t i=0; i<m_spatials.size(); ++i) {
const MeshScalarT spatial = m_spatials[i]->evaluateFields(coord);
m_pressure_source(cell,iqp) += wavelet*spatial;
}
}
}
}
void EquivalentInclusionConductivity<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
int numCells = workset.numCells;
if (is_constant) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
effectiveK(cell,qp) = constant_value;
}
}
}
#ifdef ALBANY_STOKHOS
else {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (int i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
effectiveK(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
#endif
if (isPoroElastic) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
effectiveK(cell,qp) = porosity(cell,qp)*condKf +
(J(cell,qp)-porosity(cell,qp))*condKs;
// effectiveK(cell,qp) = condKf
// + ( J(cell,qp) - porosity(cell,qp))*
// (condKs - condKf)*condKf/
// ((condKs - condKf)*porosity(cell,qp)
// + J(cell,qp)*condKf);
}
}
}
}
void ElasticModulus<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
int numCells = workset.numCells;
if (is_constant) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
elasticModulus(cell,qp) = constant_value;
}
}
}
else {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (int i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
elasticModulus(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
if (isThermoElastic) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
elasticModulus(cell,qp) += dEdT_value * (Temperature(cell,qp) - refTemp);
}
}
}
if (isPoroElastic) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
// porosity dependent Young's Modulus. It will be replaced by
// the hyperelasticity model in (Borja, Tamagnini and Amorosi, ASCE JGGE 1997).
elasticModulus(cell,qp) = constant_value;
// *sqrt(2.0 - porosity(cell,qp));
}
}
}
}
bool QCAD::MeshRegion<EvalT, Traits>::
cellIsInRegion(std::size_t cell)
{
//Check that cell lies *entirely* in box
for (std::size_t qp=0; qp < numQPs; ++qp) {
if( (limitX && (coordVec(cell,qp,0) < xmin || coordVec(cell,qp,0) > xmax)) ||
(limitY && (coordVec(cell,qp,1) < ymin || coordVec(cell,qp,1) > ymax)) ||
(limitZ && (coordVec(cell,qp,2) < zmin || coordVec(cell,qp,2) > zmax)) )
return false;
if(bRestrictToXYPolygon) {
MeshScalarT pt[2]; //code below only works when MeshScalarT == double. Need to generalize for other cases.
pt[0] = coordVec(cell,qp,0);
pt[1] = coordVec(cell,qp,1);
if( !QCAD::ptInPolygon(xyPolygon, pt) ) return false;
}
}
if(bRestrictToLevelSet) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
// Get the average value for the cell (integral of field over cell divided by cell volume)
ScalarT cellVol = 0.0, avgCellVal = 0.0;;
for (std::size_t qp=0; qp < numQPs; ++qp) {
avgCellVal += levelSetField(cell,qp) * weights(cell,qp);
cellVol += weights(cell,qp);
}
avgCellVal /= cellVol;
if( avgCellVal > levelSetFieldMax || avgCellVal < levelSetFieldMin)
return false;
}
}
return true;
}
void VanGenuchtenSaturation<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
ScalarT tempTerm;
std::size_t numCells = workset.numCells;
if (is_constant) {
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
vgSaturation(cell,qp) = constant_value;
}
}
}
else {
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (std::size_t i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
vgSaturation(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
if (isPoroElastic) {
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
// van Genuchten equation
vgSaturation(cell,qp) = 0.084 + 0.916
/std::pow((1.0 + 7.0*porePressure(cell,qp)/waterUnitWeight),2.0);
}
}
}
}
void XZScalarAdvectionResid<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
std::vector<ScalarT> vel(2);
for (std::size_t i=0; i < Residual.size(); ++i) Residual(i)=0.0;
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
if (coordVec(cell,qp,1) > 0.5) vel[0] = Re;
else vel[0] = 0.0;
vel[1] = 0.0;
for (std::size_t node=0; node < numNodes; ++node) {
// Transient Term
Residual(cell,node) += rhoDot(cell,qp)*wBF(cell,node,qp);
// Advection Term
for (std::size_t j=0; j < numDims; ++j) {
Residual(cell,node) += vel[j]*rhoGrad(cell,qp,j)*wBF(cell,node,qp);
}
}
}
}
}
void GatherCoordinateVector<EvalT, Traits>::evaluateFields(typename Traits::EvalData workset)
{
unsigned int numCells = workset.numCells;
Teuchos::ArrayRCP<Teuchos::ArrayRCP<double*> > wsCoords = workset.wsCoords;
#ifndef ALBANY_KOKKOS_UNDER_DEVELOPMENT
if( dispVecName.is_null() ){
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVec(cell,node,eq) = wsCoords[cell][node][eq];
}
}
}
// Since Intrepid2 will later perform calculations on the entire workset size
// and not just the used portion, we must fill the excess with reasonable
// values. Leaving this out leads to calculations on singular elements.
for (std::size_t cell=numCells; cell < worksetSize; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVec(cell,node,eq) = coordVec(0,node,eq);
}
}
}
} else {
Albany::StateArray::const_iterator it;
it = workset.stateArrayPtr->find(*dispVecName);
TEUCHOS_TEST_FOR_EXCEPTION((it == workset.stateArrayPtr->end()), std::logic_error,
std::endl << "Error: cannot locate " << *dispVecName << " in PHAL_GatherCoordinateVector_Def" << std::endl);
Albany::MDArray dVec = it->second;
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVec(cell,node,eq) = wsCoords[cell][node][eq] + dVec(cell,node,eq);
}
}
}
// Since Intrepid2 will later perform calculations on the entire workset size
// and not just the used portion, we must fill the excess with reasonable
// values. Leaving this out leads to calculations on singular elements.
for (std::size_t cell=numCells; cell < worksetSize; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVec(cell,node,eq) = coordVec(0,node,eq) + dVec(cell,node,eq);
}
}
}
}
#else
typedef Kokkos::View<MeshScalarT***,PHX::Device> view_type;
typedef typename view_type::HostMirror host_view_type;
host_view_type coordVecHost = Kokkos::create_mirror_view (coordVec.get_kokkos_view());
if( dispVecName.is_null() ){
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVecHost(cell,node,eq) = wsCoords[cell][node][eq];
}
}
}
for (std::size_t cell=numCells; cell < worksetSize; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVecHost(cell,node,eq) = coordVecHost(0,node,eq);
}
}
}
} else {
Albany::StateArray::const_iterator it;
it = workset.stateArrayPtr->find(*dispVecName);
TEUCHOS_TEST_FOR_EXCEPTION((it == workset.stateArrayPtr->end()), std::logic_error,
std::endl << "Error: cannot locate " << *dispVecName << " in PHAL_GatherCoordinateVector_Def" << std::endl);
Albany::MDArray dVec = it->second;
for (std::size_t cell=0; cell < numCells; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVecHost(cell,node,eq) = wsCoords[cell][node][eq] + dVec(cell,node,eq);
}
}
}
for (std::size_t cell=numCells; cell < worksetSize; ++cell) {
for (std::size_t node = 0; node < numVertices; ++node) {
for (std::size_t eq=0; eq < numDim; ++eq) {
coordVecHost(cell,node,eq) = coordVecHost(0,node,eq) + dVec(cell,node,eq);
}
}
}
}
Kokkos::deep_copy (coordVec.get_kokkos_view(), coordVecHost);
#endif
}
void ViscosityL1L2<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
if (visc_type == CONSTANT){
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
mu(cell,qp) = 1.0;
}
}
}
else if (visc_type == GLENSLAW) {
if (n == 1.0) {
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
mu(cell,qp) = 1.0/A;
}
}
}
else if (n == 3.0) {
if (surf_type == BOX) {
if (homotopyParam == 0.0) {
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
mu(cell,qp) = pow(A, -1.0/3.0);
}
}
}
else {
ScalarT ff = pow(10.0, -10.0*homotopyParam);
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
mu(cell,qp) = epsilonB(cell,qp) + ff;
mu(cell,qp) = sqrt(mu(cell,qp));
mu(cell,qp) = pow(A, -1.0/3.0)*pow(mu(cell,qp), -2.0/3.0);
}
}
}
}
else if (surf_type == TESTA) { //ISMIP-HOM Test A
PHX::MDField<ScalarT,Cell,QuadPoint> q;
PHX::MDField<ScalarT,Cell,QuadPoint> w;
PHX::MDField<ScalarT,Cell,QuadPoint> tauPar2;
PHX::MDField<ScalarT,Cell,QuadPoint> Int;
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
MeshScalarT x = coordVec(cell,qp,0);
MeshScalarT y = coordVec(cell,qp,1);
MeshScalarT s = -x*tan(alpha);
MeshScalarT b = s - 1.0 + 0.5*sin(2.0*pi*x/L)*sin(2.0*pi*y/L);
MeshScalarT dsdx = -tan(alpha);
MeshScalarT dsdy = 0.0;
Int(cell,qp) = 0.0;
q(cell,qp) = 1.0/(2.0*A)*sqrt(epsilonB(cell,qp)); //TO DO: need to put in continuation here
for (std::size_t qpZ = 0; qp<numQPsZ; ++qpZ) { //apply Trapezoidal rule to compute integral in z
MeshScalarT zQP = qpZ*(s-b)/(2.0*numQPsZ);
MeshScalarT tauPerp2 = rho*rho*g*g*(s-zQP)*(s-zQP)*(dsdx*dsdx + dsdy*dsdy);
MeshScalarT p = 1.0/3.0*tauPerp2;
w(cell,qp) = pow(q(cell,qp) + sqrt(q(cell,qp)*q(cell,qp) + p*p*p), 1.0/3.0);
tauPar2(cell,qp) = (w(cell,qp)-p/(3.0*w(cell,qp)))*(w(cell,qp)-p/(3.0*w(cell,qp)));
Int(cell,qp) += 1.0/(tauPerp2 + tauPar2(cell,qp));
}
mu(cell,qp) = 1.0/A*Int(cell,qp);
}
}
}
}
}
}
void QCAD::SchrodingerResid<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
typedef Intrepid::FunctionSpaceTools FST;
bool bValidRegion = true;
double invEffMass = 1.0;
if(bOnlyInQuantumBlocks)
bValidRegion = materialDB->getElementBlockParam<bool>(workset.EBName,"quantum",false);
// Put loops inside the if branches for speed
if(bValidRegion)
{
if ( potentialType == "From State" || potentialType == "String Formula" || potentialType == "From Aux Data Vector")
{
if ( (numDims == 1) && (oxideWidth > 0.0) ) // 1D MOSCapacitor
{
for (std::size_t cell = 0; cell < workset.numCells; ++cell)
{
for (std::size_t qp = 0; qp < numQPs; ++qp)
{
invEffMass = hbar2_over_2m0 * getInvEffMass1DMosCap(&coordVec(cell,qp,0));
for (std::size_t dim = 0; dim < numDims; ++dim)
psiGradWithMass(cell,qp,dim) = invEffMass * psiGrad(cell,qp,dim);
}
}
}
// Effective mass depends on the wafer orientation and growth direction.
// Assume SiO2/Si interface is parallel to the [100] plane and consider only the
// Delta2 Valleys whose principal axis is perpendicular to the SiO2/Si interface.
// (need to include Delta4-band for high temperatures > 50 K).
else // General case
{
double ml, mt;
const std::string& matrlCategory = materialDB->getElementBlockParam<std::string>(workset.EBName,"Category","");
// obtain ml and mt
if (matrlCategory == "Semiconductor")
{
const std::string& condBandMinVal = materialDB->getElementBlockParam<std::string>(workset.EBName,"Conduction Band Minimum");
ml = materialDB->getElementBlockParam<double>(workset.EBName,"Longitudinal Electron Effective Mass");
mt = materialDB->getElementBlockParam<double>(workset.EBName,"Transverse Electron Effective Mass");
if ((condBandMinVal == "Gamma Valley") && (fabs(ml-mt) > 1e-10))
{
TEUCHOS_TEST_FOR_EXCEPTION (true, std::logic_error, "Gamma Valley's longitudinal and "
<< "transverse electron effective mass must be equal ! "
<< "Please check the values in materials.xml" << std::endl);
}
}
else if (matrlCategory == "Insulator")
{
ml = materialDB->getElementBlockParam<double>(workset.EBName,"Longitudinal Electron Effective Mass");
mt = materialDB->getElementBlockParam<double>(workset.EBName,"Transverse Electron Effective Mass");
if (fabs(ml-mt) > 1e-10)
{
TEUCHOS_TEST_FOR_EXCEPTION (true, std::logic_error, "Insulator's longitudinal and "
<< "transverse electron effective mass must be equal ! "
<< "Please check the values in materials.xml" << std::endl);
}
}
else {
// Default releative effective masses == 1.0 if matrl category is not recognized.
// Perhaps we should throw an error here instead?
ml = mt = 1.0;
}
// calculate psiGradWithMass (good for diagonal effective mass tensor !)
for (std::size_t cell = 0; cell < workset.numCells; ++cell)
{
for (std::size_t qp = 0; qp < numQPs; ++qp)
{
for (std::size_t dim = 0; dim < numDims; ++dim)
{
if (dim == numDims-1)
invEffMass = hbar2_over_2m0 / ml;
else
invEffMass = hbar2_over_2m0 / mt;
psiGradWithMass(cell,qp,dim) = invEffMass * psiGrad(cell,qp,dim);
}
}
}
} // end of General case
} // end of if ( potentialType == "From State" || ... )
// For potentialType == Finite Wall
else if ( potentialType == "Finite Wall" )
{
for (std::size_t cell = 0; cell < workset.numCells; ++cell)
{
for (std::size_t qp = 0; qp < numQPs; ++qp)
{
invEffMass = hbar2_over_2m0 * getInvEffMassFiniteWall(&coordVec(cell,qp,0));
for (std::size_t dim = 0; dim < numDims; ++dim)
psiGradWithMass(cell,qp,dim) = invEffMass * psiGrad(cell,qp,dim);
}
}
}
// For other potentialType
else
{
for (std::size_t cell = 0; cell < workset.numCells; ++cell)
for (std::size_t qp = 0; qp < numQPs; ++qp)
for (std::size_t dim = 0; dim < numDims; ++dim)
psiGradWithMass(cell,qp,dim) = hbar2_over_2m0 * psiGrad(cell,qp,dim);
}
//Kinetic term: add integral( hbar^2/2m * Grad(psi) * Grad(BF)dV ) to residual
FST::integrate<ScalarT>(psiResidual, psiGradWithMass, wGradBF, Intrepid::COMP_CPP, false); // "false" overwrites
//Potential term: add integral( psi * V * BF dV ) to residual
if (havePotential) {
FST::scalarMultiplyDataData<ScalarT> (psiV, V, psi);
FST::integrate<ScalarT>(psiResidual, psiV, wBF, Intrepid::COMP_CPP, true); // "true" sums into
}
//**Note: I think this should always be used with enableTransient = True
//psiDot term (to use loca): add integral( psi_dot * BF dV ) to residual
if (workset.transientTerms && enableTransient)
FST::integrate<ScalarT>(psiResidual, psiDot, wBF, Intrepid::COMP_CPP, true); // "true" sums into
} // end of if(bValidRegion)
else
{
// Invalid region (don't perform calc here - evectors should all be zero)
// So, set psiDot term to zero and set psi term (H) = Identity
//This doesn't work - results in NaN error
/*for (std::size_t cell=0; cell < workset.numCells; ++cell)
{
for (std::size_t qp=0; qp < numQPs; ++qp)
psiResidual(cell, qp) = 1.0*psi(cell,qp);
}*/
//Potential term: add integral( psi * V * BF dV ) to residual
if (havePotential)
{
for (std::size_t cell = 0; cell < workset.numCells; ++cell)
for (std::size_t qp = 0; qp < numQPs; ++qp)
V_barrier(cell,qp) = 100.0;
FST::scalarMultiplyDataData<ScalarT> (psiV, V_barrier, psi);
// FST::scalarMultiplyDataData<ScalarT> (psiV, V, psi);
FST::integrate<ScalarT>(psiResidual, psiV, wBF, Intrepid::COMP_CPP, false); // "false" overwrites
}
//POSSIBLE NEW - same as valid region but use a very large potential...
/*for (std::size_t cell = 0; cell < workset.numCells; ++cell) {
for (std::size_t qp = 0; qp < numQPs; ++qp) {
V_barrier(cell,qp) = 1e+10;
for (std::size_t dim = 0; dim < numDims; ++dim)
psiGradWithMass(cell,qp,dim) = hbar2_over_2m0 * psiGrad(cell,qp,dim);
}
}
//Kinetic term: add integral( hbar^2/2m * Grad(psi) * Grad(BF)dV ) to residual
FST::integrate<ScalarT>(psiResidual, psiGradWithMass, wGradBF, Intrepid::COMP_CPP, false); // "false" overwrites
//Potential term: add integral( psi * V * BF dV ) to residual
FST::scalarMultiplyDataData<ScalarT> (psiV, V_barrier, psi);
//FST::scalarMultiplyDataData<ScalarT> (psiV, V, psi);
FST::integrate<ScalarT>(psiResidual, psiV, wBF, Intrepid::COMP_CPP, true); // "true" sums into
// **Note: I think this should always be used with enableTransient = True
//psiDot term (to use loca): add integral( psi_dot * BF dV ) to residual
if (workset.transientTerms && enableTransient)
FST::integrate<ScalarT>(psiResidual, psiDot, wBF, Intrepid::COMP_CPP, true); // "true" sums into
*/
}
}
void QCAD::ResponseFieldValue<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
ScalarT opVal, qpVal, cellVol;
if(!opRegion->elementBlockIsInRegion(workset.EBName))
return;
for (std::size_t cell=0; cell < workset.numCells; ++cell)
{
if(!opRegion->cellIsInRegion(cell)) continue;
// Get the cell volume, used for averaging over a cell
cellVol = 0.0;
for (std::size_t qp=0; qp < numQPs; ++qp)
cellVol += weights(cell,qp);
// Get the scalar value of the field being operated on which will be used
// in the operation (all operations just deal with scalar data so far)
opVal = 0.0;
for (std::size_t qp=0; qp < numQPs; ++qp) {
qpVal = 0.0;
if(bOpFieldIsVector) {
if(opX) qpVal += opField(cell,qp,0) * opField(cell,qp,0);
if(opY) qpVal += opField(cell,qp,1) * opField(cell,qp,1);
if(opZ) qpVal += opField(cell,qp,2) * opField(cell,qp,2);
}
else qpVal = opField(cell,qp);
opVal += qpVal * weights(cell,qp);
}
opVal /= cellVol;
// opVal = the average value of the field operated on over the current cell
// Check if the currently stored min/max value needs to be updated
if( (operation == "Maximize" && opVal > this->global_response[1]) ||
(operation == "Minimize" && opVal < this->global_response[1]) ) {
max_nodeID = workset.wsElNodeEqID[cell];
// set g[0] = value of return field at the current cell (avg)
this->global_response[0]=0.0;
if(bReturnOpField) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
qpVal = 0.0;
if(bOpFieldIsVector) {
for(std::size_t i=0; i<numDims; i++) {
qpVal += opField(cell,qp,i)*opField(cell,qp,i);
}
}
else qpVal = opField(cell,qp);
this->global_response[0] += qpVal * weights(cell,qp);
}
}
else {
for (std::size_t qp=0; qp < numQPs; ++qp) {
qpVal = 0.0;
if(bRetFieldIsVector) {
for(std::size_t i=0; i<numDims; i++) {
qpVal += retField(cell,qp,i)*retField(cell,qp,i);
}
}
else qpVal = retField(cell,qp);
this->global_response[0] += qpVal * weights(cell,qp);
}
}
this->global_response[0] /= cellVol;
// set g[1] = value of the field operated on at the current cell (avg)
this->global_response[1] = opVal;
// set g[2+] = average qp coordinate values of the current cell
for(std::size_t i=0; i<numDims; i++) {
this->global_response[i+2] = 0.0;
for (std::size_t qp=0; qp < numQPs; ++qp)
this->global_response[i+2] += coordVec(cell,qp,i);
this->global_response[i+2] /= numQPs;
}
}
} // end of loop over cells
// No local scattering
}
void YieldStrength<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
bool print = false;
//if (typeid(ScalarT) == typeid(RealType)) print = true;
if (print)
std::cout << " *** YieldStrength *** " << std::endl;
int numCells = workset.numCells;
if (is_constant) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
yieldStrength(cell,qp) = constant_value;
}
}
}
else {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
Teuchos::Array<MeshScalarT> point(numDims);
for (int i=0; i<numDims; i++)
point[i] = Sacado::ScalarValue<MeshScalarT>::eval(coordVec(cell,qp,i));
yieldStrength(cell,qp) = exp_rf_kl->evaluate(point, rv);
}
}
}
if (isThermoElastic) {
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
yieldStrength(cell,qp) -= dYdT_value * (Temperature(cell,qp) - refTemp);
if (print)
{
std::cout << " Y : " << yieldStrength(cell,qp) << std::endl;
std::cout << " temp: " << Temperature(cell,qp) << std::endl;
std::cout << " dYdT: " << dYdT_value << std::endl;
std::cout << " refT: " << refTemp << std::endl;
}
}
}
}
if (isDiffuseDeformation) {
Albany::MDArray CLold = (*workset.stateArrayPtr)[CLname];
for (int cell=0; cell < numCells; ++cell) {
for (int qp=0; qp < numQPs; ++qp) {
// yieldStrength(cell,qp) = constant_value*( 1.0 + (zeta-1.0)*CL(cell,qp) );
yieldStrength(cell,qp) -= constant_value*(zeta-1.0)*(CL(cell,qp) -CLold(cell,qp) );
if (print)
{
std::cout << " Y : " << yieldStrength(cell,qp) << std::endl;
std::cout << " CT : " << CT(cell,qp) << std::endl;
std::cout << " zeta : " << zeta << std::endl;
}
}
}
}
}
void ViscosityFO<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
double a = 1.0;
switch (visc_type) {
case CONSTANT:
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp)
mu(cell,qp) = 1.0;
}
break;
case EXPTRIG:
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
MeshScalarT x = coordVec(cell,qp,0);
MeshScalarT y2pi = 2.0*pi*coordVec(cell,qp,1);
MeshScalarT muargt = (a*a + 4.0*pi*pi - 2.0*pi*a)*sin(y2pi)*sin(y2pi) + 1.0/4.0*(2.0*pi+a)*(2.0*pi+a)*cos(y2pi)*cos(y2pi);
muargt = sqrt(muargt)*exp(a*x);
mu(cell,qp) = 1.0/2.0*pow(A, -1.0/n)*pow(muargt, 1.0/n - 1.0);
}
}
break;
case GLENSLAW:
std::vector<ScalarT> flowFactorVec; //create vector of the flow factor A at each cell
flowFactorVec.resize(workset.numCells);
switch (flowRate_type) {
case UNIFORM:
for (std::size_t cell=0; cell < workset.numCells; ++cell)
flowFactorVec[cell] = 1.0/2.0*pow(A, -1.0/n);
break;
case TEMPERATUREBASED:
for (std::size_t cell=0; cell < workset.numCells; ++cell)
flowFactorVec[cell] = 1.0/2.0*pow(flowRate(temperature(cell)), -1.0/n);
break;
case FROMFILE:
case FROMCISM:
for (std::size_t cell=0; cell < workset.numCells; ++cell)
flowFactorVec[cell] = 1.0/2.0*pow(flowFactorA(cell), -1.0/n);
break;
}
double power = 0.5*(1.0/n - 1.0);
if (homotopyParam == 0.0) { //set constant viscosity
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
mu(cell,qp) = flowFactorVec[cell];
}
}
}
else { //set Glen's law viscosity with regularization specified by homotopyParam
ScalarT ff = pow(10.0, -10.0*homotopyParam);
ScalarT epsilonEqpSq = 0.0; //used to define the viscosity in non-linear Stokes
for (std::size_t cell=0; cell < workset.numCells; ++cell) {
for (std::size_t qp=0; qp < numQPs; ++qp) {
//evaluate non-linear viscosity, given by Glen's law, at quadrature points
ScalarT& u00 = Ugrad(cell,qp,0,0); //epsilon_xx
ScalarT& u11 = Ugrad(cell,qp,1,1); //epsilon_yy
epsilonEqpSq = u00*u00 + u11*u11 + u00*u11; //epsilon_xx^2 + epsilon_yy^2 + epsilon_xx*epsilon_yy
epsilonEqpSq += 0.25*(Ugrad(cell,qp,0,1) + Ugrad(cell,qp,1,0))*(Ugrad(cell,qp,0,1) + Ugrad(cell,qp,1,0)); //+0.25*epsilon_xy^2
for (int dim = 2; dim < numDims; ++dim) //3D case
epsilonEqpSq += 0.25*(Ugrad(cell,qp,0,dim)*Ugrad(cell,qp,0,dim) + Ugrad(cell,qp,1,dim)*Ugrad(cell,qp,1,dim) ); // + 0.25*epsilon_xz^2 + 0.25*epsilon_yz^2
epsilonEqpSq += ff; //add regularization "fudge factor"
mu(cell,qp) = flowFactorVec[cell]*pow(epsilonEqpSq, power); //non-linear viscosity, given by Glen's law
}
}
}
break;
}
}