void LaserSource<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
// current time
const RealType t = workset.current_time;
AMP::LaserCenter Val;
Val.t = t;
RealType x, y, power_fraction;
int power;
LaserData_.getLaserPosition(t,Val,x,y,power,power_fraction);
ScalarT Laser_center_x = x;
ScalarT Laser_center_y = y;
ScalarT Laser_power_fraction = power_fraction;
// source function
ScalarT pi = 3.1415926535897932;
ScalarT LaserFlux_Max;
// laser on or off
if ( power == 1 )
{
LaserFlux_Max =(3.0/(pi*laser_beam_radius*laser_beam_radius))*laser_power*Laser_power_fraction;
}
else
{
LaserFlux_Max = 0.0;
}
ScalarT beta = 1.5*(1.0 - porosity)/(porosity*particle_dia);
// Parameters for the depth profile of the laser heat source:
ScalarT lambda = 2.50;
ScalarT a = sqrt(1.0 - powder_hemispherical_reflectivity);
ScalarT A = (1.0 - pow(powder_hemispherical_reflectivity,2))*exp(-lambda);
ScalarT B = 3.0 + powder_hemispherical_reflectivity*exp(-2*lambda);
ScalarT b1 = 1 - a;
ScalarT b2 = 1 + a;
ScalarT c1 = b2 - powder_hemispherical_reflectivity*b1;
ScalarT c2 = b1 - powder_hemispherical_reflectivity*b2;
ScalarT C = b1*c2*exp(-2*a*lambda) - b2*c1*exp(2*a*lambda);
// Following are few factors defined by the coder to be included while defining the depth profile
ScalarT f1 = 1.0/(3.0 - 4.0*powder_hemispherical_reflectivity);
ScalarT f2 = 2*powder_hemispherical_reflectivity*a*a/C;
ScalarT f3 = 3.0*(1.0 - powder_hemispherical_reflectivity);
//-----------------------------------------------------------------------------------------------
for (std::size_t cell = 0; cell < workset.numCells; ++cell) {
for (std::size_t qp = 0; qp < num_qps_; ++qp) {
MeshScalarT X = coord_(cell,qp,0);
MeshScalarT Y = coord_(cell,qp,1);
MeshScalarT Z = coord_(cell,qp,2);
ScalarT depth_profile = f1*(f2*(A*(b2*exp(2.0*a*beta*Z)-b1*exp(-2.0*a*beta*Z)) - B*(c2*exp(-2.0*a*(lambda - beta*Z))-c1*exp(2.0*a*(lambda-beta*Z)))) + f3*(exp(-beta*Z)+powder_hemispherical_reflectivity*exp(beta*Z - 2.0*lambda)));
MeshScalarT* XX = &coord_(cell,qp,0);
ScalarT radius = sqrt((X - Laser_center_x)*(X - Laser_center_x) + (Y - Laser_center_y)*(Y - Laser_center_y));
if (radius < laser_beam_radius && beta*Z <= lambda)
laser_source_(cell,qp) = beta*LaserFlux_Max*pow((1.0-(radius*radius)/(laser_beam_radius*laser_beam_radius)),2)*depth_profile;
else laser_source_(cell,qp) = 0.0;
}
}
}
void PhaseResidual<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset)
{
// time step
ScalarT dt = deltaTime(0);
typedef Intrepid2::FunctionSpaceTools<PHX::Device> FST;
if (dt == 0.0) dt = 1.0e-15;
//grab old temperature
Albany::MDArray T_old = (*workset.stateArrayPtr)[Temperature_Name_];
// Compute Temp rate
for (std::size_t cell = 0; cell < workset.numCells; ++cell)
{
for (std::size_t qp = 0; qp < num_qps_; ++qp)
{
T_dot_(cell, qp) = (T_(cell, qp) - T_old(cell, qp)) / dt;
}
}
// diffusive term
FST::scalarMultiplyDataData<ScalarT> (term1_, k_.get_view(), T_grad_.get_view());
// FST::integrate(residual_, term1_, w_grad_bf_, false);
//Using for loop to calculate the residual
// zero out residual
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int node = 0; node < num_nodes_; ++node) {
residual_(cell,node) = 0.0;
}
}
// for (int cell = 0; cell < workset.numCells; ++cell) {
// for (int qp = 0; qp < num_qps_; ++qp) {
// for (int node = 0; node < num_nodes_; ++node) {
// for (int i = 0; i < num_dims_; ++i) {
// residual_(cell,node) += w_grad_bf_(cell,node,qp,i) * term1_(cell,qp,i);
// }
// }
// }
// }
//THESE ARE HARD CODED NOW. NEEDS TO BE CHANGED TO USER INPUT LATER
ScalarT Coeff_volExp = 65.2e-6; //per kelvins
ScalarT Ini_temp = 300; //kelvins
if (hasConsolidation_) {
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int qp = 0; qp < num_qps_; ++qp) {
for (int node = 0; node < num_nodes_; ++node) {
//Use if consolidation and expansion is considered
// porosity_function1 = pow( ((1.0 - porosity_(cell, qp)) / ((1+Coeff_volExp*(T_(cell,qp) -Ini_temp))*(1.0 - Initial_porosity))), 2);
// porosity_function2 = (1+Coeff_volExp*(T_(cell,qp) -Ini_temp))*(1.0 - Initial_porosity) / (1.0 - porosity_(cell, qp));
//Use if only consolidation is considered
porosity_function1 = pow( ((1.0 - porosity_(cell, qp)) / (1.0 - Initial_porosity)), 2);
porosity_function2 = (1.0 - Initial_porosity) / (1.0 - porosity_(cell, qp));
//In the model that is currently used, the Z-axis corresponds to the depth direction. Hence the term porosity
//function1 is multiplied with the second term.
residual_(cell, node) += porosity_function2 * (
w_grad_bf_(cell, node, qp, 0) * term1_(cell, qp, 0)
+ w_grad_bf_(cell, node, qp, 1) * term1_(cell, qp, 1)
+ porosity_function1 * w_grad_bf_(cell, node, qp, 2) * term1_(cell, qp, 2));
}
}
}
// heat source from laser
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int qp = 0; qp < num_qps_; ++qp) {
for (int node = 0; node < num_nodes_; ++node) {
//Use if consolidation and expansion is considered
// porosity_function2 = (1+Coeff_volExp*(T_(cell,qp) -Ini_temp))*(1.0 - Initial_porosity) / (1.0 - porosity_(cell, qp));
//Use if only consolidation is considered
porosity_function2 = (1.0 - Initial_porosity) / (1.0 - porosity_(cell, qp));
residual_(cell, node) -= porosity_function2 * (w_bf_(cell, node, qp) * laser_source_(cell, qp));
}
}
}
// all other problem sources
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int qp = 0; qp < num_qps_; ++qp) {
for (int node = 0; node < num_nodes_; ++node) {
//Use if consolidation and expansion is considered
// porosity_function2 = (1+Coeff_volExp*(T_(cell,qp) -Ini_temp))*(1.0 - Initial_porosity) / (1.0 - porosity_(cell, qp));
//Use if only consolidation is considered
porosity_function2 = (1.0 - Initial_porosity) / (1.0 - porosity_(cell, qp));
residual_(cell, node) -= porosity_function2 * (w_bf_(cell, node, qp) * source_(cell, qp));
}
}
}
// transient term
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int qp = 0; qp < num_qps_; ++qp) {
for (int node = 0; node < num_nodes_; ++node) {
//Use if consolidation and expansion is considered
// porosity_function2 = (1+Coeff_volExp*(T_(cell,qp) -Ini_temp))*(1.0 - Initial_porosity) / (1.0 - porosity_(cell, qp));
//Use if only consolidation is considered
porosity_function2 = (1.0 - Initial_porosity) / (1.0 - porosity_(cell, qp));
residual_(cell, node) += porosity_function2 * (w_bf_(cell, node, qp) * energyDot_(cell, qp));
}
}
}
} else { // does not have consolidation
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int qp = 0; qp < num_qps_; ++qp) {
for (int node = 0; node < num_nodes_; ++node) {
residual_(cell, node) += (
w_grad_bf_(cell, node, qp, 0) * term1_(cell, qp, 0)
+ w_grad_bf_(cell, node, qp, 1) * term1_(cell, qp, 1)
+ w_grad_bf_(cell, node, qp, 2) * term1_(cell, qp, 2));
}
}
}
// heat source from laser
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int qp = 0; qp < num_qps_; ++qp) {
for (int node = 0; node < num_nodes_; ++node) {
residual_(cell, node) -= (w_bf_(cell, node, qp) * laser_source_(cell, qp));
}
}
}
// all other problem sources
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int qp = 0; qp < num_qps_; ++qp) {
for (int node = 0; node < num_nodes_; ++node) {
residual_(cell, node) -= (w_bf_(cell, node, qp) * source_(cell, qp));
}
}
}
// transient term
for (int cell = 0; cell < workset.numCells; ++cell) {
for (int qp = 0; qp < num_qps_; ++qp) {
for (int node = 0; node < num_nodes_; ++node) {
residual_(cell, node) += (w_bf_(cell, node, qp) * energyDot_(cell, qp));
}
}
}
}
// heat source from laser
//PHAL::scale(laser_source_, -1.0);
//FST::integrate(residual_, laser_source_, w_bf_, true);
// all other problem sources
//PHAL::scale(source_, -1.0);
//FST::integrate(residual_, source_, w_bf_, true);
// transient term
//FST::integrate(residual_, energyDot_, w_bf_, true);
}
