void compute_step_factor(int nelr, double* variables, double* areas, double* step_factors)
{
{ const unsigned long long parallel_for_start = current_time_ns();
#pragma omp parallel for default(shared) schedule(static)
for(int i = 0; i < nelr; i++)
{
double density = variables[NVAR*i + VAR_DENSITY];
cfd_double3 momentum;
momentum.x = variables[NVAR*i + (VAR_MOMENTUM+0)];
momentum.y = variables[NVAR*i + (VAR_MOMENTUM+1)];
momentum.z = variables[NVAR*i + (VAR_MOMENTUM+2)];
double density_energy = variables[NVAR*i + VAR_DENSITY_ENERGY];
cfd_double3 velocity; compute_velocity(density, momentum, velocity);
double speed_sqd = compute_speed_sqd(velocity);
double pressure = compute_pressure(density, density_energy, speed_sqd);
double speed_of_sound = compute_speed_of_sound(density, pressure);
// dt = double(0.5) * std::sqrt(areas[i]) / (||v|| + c).... but when we do time stepping, this later would need to be divided by the area, so we just do it all at once
step_factors[i] = double(0.5) / (std::sqrt(areas[i]) * (std::sqrt(speed_sqd) + speed_of_sound));
} ;
const unsigned long long parallel_for_end = current_time_ns();
printf("pragma155_omp_parallel %llu ns\n", parallel_for_end - parallel_for_start); }
}
void transform_pen_data(Pen::PenEvent& penEvent, PenDataTransform::XformedData& xformed, bool withtilt)
{
xformed.x = compute_x_position(penEvent.x);
xformed.y = compute_y_position(penEvent.y);
xformed.pressure = compute_pressure(penEvent.pressure);
/* console::print("\npenEvent.x = ");
console::printNumber(penEvent.x);
console::print(", xformed.x = ");
console::printNumber(xformed.x);
console::println();
*/
if(withtilt)
{
xformed.tilt_x = penEvent.tilt_x;
xformed.tilt_y = penEvent.tilt_y;
}
}
void compute_flux_contributions(int nelr, double* variables, double* fc_momentum_x, double* fc_momentum_y, double* fc_momentum_z, double* fc_density_energy)
{
#pragma acc kernels
for(int i = 0; i < nelr; i++)
{
double density_i = variables[NVAR*i + VAR_DENSITY];
double3 momentum_i;
momentum_i.x = variables[NVAR*i + (VAR_MOMENTUM+0)];
momentum_i.y = variables[NVAR*i + (VAR_MOMENTUM+1)];
momentum_i.z = variables[NVAR*i + (VAR_MOMENTUM+2)];
double density_energy_i = variables[NVAR*i + VAR_DENSITY_ENERGY];
double3 velocity_i; compute_velocity(density_i, momentum_i, velocity_i);
double speed_sqd_i = compute_speed_sqd(velocity_i);
double speed_i = sqrtf(speed_sqd_i);
double pressure_i = compute_pressure(density_i, density_energy_i, speed_sqd_i);
double speed_of_sound_i = compute_speed_of_sound(density_i, pressure_i);
double3 fc_i_momentum_x, fc_i_momentum_y, fc_i_momentum_z;
double3 fc_i_density_energy;
compute_flux_contribution(density_i, momentum_i, density_energy_i, pressure_i, velocity_i, fc_i_momentum_x, fc_i_momentum_y, fc_i_momentum_z, fc_i_density_energy);
fc_momentum_x[i*NDIM + 0] = fc_i_momentum_x.x;
fc_momentum_x[i*NDIM + 1] = fc_i_momentum_x.y;
fc_momentum_x[i*NDIM+ 2] = fc_i_momentum_x.z;
fc_momentum_y[i*NDIM+ 0] = fc_i_momentum_y.x;
fc_momentum_y[i*NDIM+ 1] = fc_i_momentum_y.y;
fc_momentum_y[i*NDIM+ 2] = fc_i_momentum_y.z;
fc_momentum_z[i*NDIM+ 0] = fc_i_momentum_z.x;
fc_momentum_z[i*NDIM+ 1] = fc_i_momentum_z.y;
fc_momentum_z[i*NDIM+ 2] = fc_i_momentum_z.z;
fc_density_energy[i*NDIM+ 0] = fc_i_density_energy.x;
fc_density_energy[i*NDIM+ 1] = fc_i_density_energy.y;
fc_density_energy[i*NDIM+ 2] = fc_i_density_energy.z;
}
}
void compute_step_factor(int nelr, double* variables, double* areas, double* step_factors)
{
#pragma acc kernels
for(int i = 0; i < nelr; i++)
{
double density = variables[NVAR*i + VAR_DENSITY];
double3 momentum;
momentum.x = variables[NVAR*i + (VAR_MOMENTUM+0)];
momentum.y = variables[NVAR*i + (VAR_MOMENTUM+1)];
momentum.z = variables[NVAR*i + (VAR_MOMENTUM+2)];
double density_energy = variables[NVAR*i + VAR_DENSITY_ENERGY];
double3 velocity; compute_velocity(density, momentum, velocity);
double speed_sqd = compute_speed_sqd(velocity);
double pressure = compute_pressure(density, density_energy, speed_sqd);
double speed_of_sound = compute_speed_of_sound(density, pressure);
// dt = double(0.5) * std::sqrt(areas[i]) / (||v|| + c).... but when we do time stepping, this later would need to be divided by the area, so we just do it all at once
step_factors[i] = double(0.5) / (std::sqrt(areas[i]) * (std::sqrt(speed_sqd) + speed_of_sound));
}
}
void compute_flux(int nelr, int* elements_surrounding_elements, double* normals, double* variables, double* fluxes)
{
double smoothing_coefficient = double(0.2f);
{ const unsigned long long parallel_for_start = current_time_ns();
#pragma omp parallel for default(shared) schedule(static)
for(int i = 0; i < nelr; i++)
{
int j, nb;
cfd_double3 normal; double normal_len;
double factor;
double density_i = variables[NVAR*i + VAR_DENSITY];
cfd_double3 momentum_i;
momentum_i.x = variables[NVAR*i + (VAR_MOMENTUM+0)];
momentum_i.y = variables[NVAR*i + (VAR_MOMENTUM+1)];
momentum_i.z = variables[NVAR*i + (VAR_MOMENTUM+2)];
double density_energy_i = variables[NVAR*i + VAR_DENSITY_ENERGY];
cfd_double3 velocity_i; compute_velocity(density_i, momentum_i, velocity_i);
double speed_sqd_i = compute_speed_sqd(velocity_i);
double speed_i = std::sqrt(speed_sqd_i);
double pressure_i = compute_pressure(density_i, density_energy_i, speed_sqd_i);
double speed_of_sound_i = compute_speed_of_sound(density_i, pressure_i);
cfd_double3 flux_contribution_i_momentum_x, flux_contribution_i_momentum_y, flux_contribution_i_momentum_z;
cfd_double3 flux_contribution_i_density_energy;
compute_flux_contribution(density_i, momentum_i, density_energy_i, pressure_i, velocity_i, flux_contribution_i_momentum_x, flux_contribution_i_momentum_y, flux_contribution_i_momentum_z, flux_contribution_i_density_energy);
double flux_i_density = double(0.0);
cfd_double3 flux_i_momentum;
flux_i_momentum.x = double(0.0);
flux_i_momentum.y = double(0.0);
flux_i_momentum.z = double(0.0);
double flux_i_density_energy = double(0.0);
cfd_double3 velocity_nb;
double density_nb, density_energy_nb;
cfd_double3 momentum_nb;
cfd_double3 flux_contribution_nb_momentum_x, flux_contribution_nb_momentum_y, flux_contribution_nb_momentum_z;
cfd_double3 flux_contribution_nb_density_energy;
double speed_sqd_nb, speed_of_sound_nb, pressure_nb;
for(j = 0; j < NNB; j++)
{
nb = elements_surrounding_elements[i*NNB + j];
normal.x = normals[(i*NNB + j)*NDIM + 0];
normal.y = normals[(i*NNB + j)*NDIM + 1];
normal.z = normals[(i*NNB + j)*NDIM + 2];
normal_len = std::sqrt(normal.x*normal.x + normal.y*normal.y + normal.z*normal.z);
if(nb >= 0) // a legitimate neighbor
{
density_nb = variables[nb*NVAR + VAR_DENSITY];
momentum_nb.x = variables[nb*NVAR + (VAR_MOMENTUM+0)];
momentum_nb.y = variables[nb*NVAR + (VAR_MOMENTUM+1)];
momentum_nb.z = variables[nb*NVAR + (VAR_MOMENTUM+2)];
density_energy_nb = variables[nb*NVAR + VAR_DENSITY_ENERGY];
compute_velocity(density_nb, momentum_nb, velocity_nb);
speed_sqd_nb = compute_speed_sqd(velocity_nb);
pressure_nb = compute_pressure(density_nb, density_energy_nb, speed_sqd_nb);
speed_of_sound_nb = compute_speed_of_sound(density_nb, pressure_nb);
compute_flux_contribution(density_nb, momentum_nb, density_energy_nb, pressure_nb, velocity_nb, flux_contribution_nb_momentum_x, flux_contribution_nb_momentum_y, flux_contribution_nb_momentum_z, flux_contribution_nb_density_energy);
// artificial viscosity
factor = -normal_len*smoothing_coefficient*double(0.5)*(speed_i + std::sqrt(speed_sqd_nb) + speed_of_sound_i + speed_of_sound_nb);
flux_i_density += factor*(density_i-density_nb);
flux_i_density_energy += factor*(density_energy_i-density_energy_nb);
flux_i_momentum.x += factor*(momentum_i.x-momentum_nb.x);
flux_i_momentum.y += factor*(momentum_i.y-momentum_nb.y);
flux_i_momentum.z += factor*(momentum_i.z-momentum_nb.z);
// accumulate cell-centered fluxes
factor = double(0.5)*normal.x;
flux_i_density += factor*(momentum_nb.x+momentum_i.x);
flux_i_density_energy += factor*(flux_contribution_nb_density_energy.x+flux_contribution_i_density_energy.x);
flux_i_momentum.x += factor*(flux_contribution_nb_momentum_x.x+flux_contribution_i_momentum_x.x);
flux_i_momentum.y += factor*(flux_contribution_nb_momentum_y.x+flux_contribution_i_momentum_y.x);
flux_i_momentum.z += factor*(flux_contribution_nb_momentum_z.x+flux_contribution_i_momentum_z.x);
factor = double(0.5)*normal.y;
flux_i_density += factor*(momentum_nb.y+momentum_i.y);
flux_i_density_energy += factor*(flux_contribution_nb_density_energy.y+flux_contribution_i_density_energy.y);
flux_i_momentum.x += factor*(flux_contribution_nb_momentum_x.y+flux_contribution_i_momentum_x.y);
flux_i_momentum.y += factor*(flux_contribution_nb_momentum_y.y+flux_contribution_i_momentum_y.y);
flux_i_momentum.z += factor*(flux_contribution_nb_momentum_z.y+flux_contribution_i_momentum_z.y);
factor = double(0.5)*normal.z;
flux_i_density += factor*(momentum_nb.z+momentum_i.z);
flux_i_density_energy += factor*(flux_contribution_nb_density_energy.z+flux_contribution_i_density_energy.z);
flux_i_momentum.x += factor*(flux_contribution_nb_momentum_x.z+flux_contribution_i_momentum_x.z);
flux_i_momentum.y += factor*(flux_contribution_nb_momentum_y.z+flux_contribution_i_momentum_y.z);
flux_i_momentum.z += factor*(flux_contribution_nb_momentum_z.z+flux_contribution_i_momentum_z.z);
}
else if(nb == -1) // a wing boundary
{
flux_i_momentum.x += normal.x*pressure_i;
flux_i_momentum.y += normal.y*pressure_i;
flux_i_momentum.z += normal.z*pressure_i;
}
else if(nb == -2) // a far field boundary
{
factor = double(0.5)*normal.x;
flux_i_density += factor*(ff_variable[VAR_MOMENTUM+0]+momentum_i.x);
flux_i_density_energy += factor*(ff_flux_contribution_density_energy.x+flux_contribution_i_density_energy.x);
flux_i_momentum.x += factor*(ff_flux_contribution_momentum_x.x + flux_contribution_i_momentum_x.x);
flux_i_momentum.y += factor*(ff_flux_contribution_momentum_y.x + flux_contribution_i_momentum_y.x);
flux_i_momentum.z += factor*(ff_flux_contribution_momentum_z.x + flux_contribution_i_momentum_z.x);
factor = double(0.5)*normal.y;
flux_i_density += factor*(ff_variable[VAR_MOMENTUM+1]+momentum_i.y);
flux_i_density_energy += factor*(ff_flux_contribution_density_energy.y+flux_contribution_i_density_energy.y);
flux_i_momentum.x += factor*(ff_flux_contribution_momentum_x.y + flux_contribution_i_momentum_x.y);
flux_i_momentum.y += factor*(ff_flux_contribution_momentum_y.y + flux_contribution_i_momentum_y.y);
flux_i_momentum.z += factor*(ff_flux_contribution_momentum_z.y + flux_contribution_i_momentum_z.y);
factor = double(0.5)*normal.z;
flux_i_density += factor*(ff_variable[VAR_MOMENTUM+2]+momentum_i.z);
flux_i_density_energy += factor*(ff_flux_contribution_density_energy.z+flux_contribution_i_density_energy.z);
flux_i_momentum.x += factor*(ff_flux_contribution_momentum_x.z + flux_contribution_i_momentum_x.z);
flux_i_momentum.y += factor*(ff_flux_contribution_momentum_y.z + flux_contribution_i_momentum_y.z);
flux_i_momentum.z += factor*(ff_flux_contribution_momentum_z.z + flux_contribution_i_momentum_z.z);
}
}
fluxes[i*NVAR + VAR_DENSITY] = flux_i_density;
fluxes[i*NVAR + (VAR_MOMENTUM+0)] = flux_i_momentum.x;
fluxes[i*NVAR + (VAR_MOMENTUM+1)] = flux_i_momentum.y;
fluxes[i*NVAR + (VAR_MOMENTUM+2)] = flux_i_momentum.z;
fluxes[i*NVAR + VAR_DENSITY_ENERGY] = flux_i_density_energy;
} ;
const unsigned long long parallel_for_end = current_time_ns();
printf("pragma186_omp_parallel %llu ns\n", parallel_for_end - parallel_for_start); }
}
void mmas::mixing_product(int n) {
delete mixed_product;
mixed_product = new usm;
real dm_bin = product->star_mass / n;
real m_prev = 0, m_bin = 0;
real Mtot = 0, Utot = 0, Vtot = 0, r_mean = 0;
int n_in_bin = 0;
int j = 0;
real H1tot = 0, He4tot = 0, O16tot = 0, N14tot = 0, C12tot = 0, Ne20tot = 0, Mg24tot = 0, Si28tot = 0, Fe56tot = 0;
for (int i = 0; i < product->get_num_shells(); i++) {
mass_shell &shell_i = product->get_shell(i);
real dm = shell_i.mass - m_prev;
m_prev = shell_i.mass;
r_mean += shell_i.radius;
n_in_bin += 1;
m_bin += dm;
Mtot += dm;
Vtot += dm/shell_i.density;
H1tot += dm*shell_i.composition.H1;
He4tot += dm*shell_i.composition.He4;
O16tot += dm*shell_i.composition.O16;
N14tot += dm*shell_i.composition.N14;
C12tot += dm*shell_i.composition.C12;
Ne20tot += dm*shell_i.composition.Ne20;
Mg24tot += dm*shell_i.composition.Mg24;
Si28tot += dm*shell_i.composition.Si28;
Fe56tot += dm*shell_i.composition.Fe56;
Utot += compute_energy(shell_i.density, shell_i.temperature, shell_i.mean_mu) * dm;
if (m_bin > dm_bin) {
// PRC(j); PRC(n); PRC(Mtot); PRC(m_bin); PRC(dm_bin); PRL(n_in_bin);
mass_shell shell_j; j++;
// mass_shell &shell_j = mixed_product->get_shell(j++);
shell_j.radius = r_mean/n_in_bin;
shell_j.mass = Mtot;
shell_j.density = m_bin/Vtot;
shell_j.composition.H1 = H1tot/m_bin;
shell_j.composition.He4 = He4tot/m_bin;
shell_j.composition.O16 = O16tot/m_bin;
shell_j.composition.N14 = N14tot/m_bin;
shell_j.composition.C12 = C12tot/m_bin;
shell_j.composition.Ne20 = Ne20tot/m_bin;
shell_j.composition.Mg24 = Mg24tot/m_bin;
shell_j.composition.Si28 = Si28tot/m_bin;
shell_j.composition.Fe56 = Fe56tot/m_bin;
#define am(x) (1.0+Amass[x]/2.0)/Amass[x]
real Amass[] = {1, 4, 16, 14, 12, 20, 24, 28, 56};
shell_j.mean_mu = 2 * shell_j.composition.H1 +
am(1) * shell_j.composition.He4 +
am(2) * shell_j.composition.O16 +
am(3) * shell_j.composition.N14 +
am(4) * shell_j.composition.C12 +
am(5) * shell_j.composition.Ne20 +
am(6) * shell_j.composition.Mg24 +
am(7) * shell_j.composition.Si28 +
am(8) * shell_j.composition.Fe56;
shell_j.mean_mu = 1.0/shell_j.mean_mu;
shell_j.e_thermal = Utot/m_bin;
shell_j.pressure = compute_pressure(shell_j.density, shell_j.e_thermal, shell_j.mean_mu);
shell_j.temperature = compute_temperature(shell_j.density, shell_j.pressure, shell_j.mean_mu);
shell_j.entropy = compute_entropy(shell_j.density, shell_j.temperature, shell_j.mean_mu);
mixed_product->add_shell(shell_j);
m_bin -= dm_bin;
m_bin = Utot = Vtot = r_mean = 0;
H1tot = He4tot = O16tot = N14tot = C12tot = Ne20tot = Mg24tot = Si28tot = Fe56tot = 0;
n_in_bin = 0;
}
}
mixed_product->build_hashtable();
}
void mmas::smooth_product() {
int n_shells = product->get_num_shells(); /* number of shells in the product */
smoothing_params params;
params.arr_x = new double[n_shells];
params.arr_y = new double[n_shells];
params.smoothed_y = new double[n_shells];
/* composition */
cerr << "Smoothing composition\n";
for (int i = 0; i < n_shells; i++) {
mass_shell &shell = product->get_shell(i);
params.arr_x[i] = shell.radius;
params.arr_x[i] = shell.mass;
params.arr_y[i] = (4.0/shell.mean_mu - 3.0)/5.0;
}
smoothing_integrate(params, n_shells);
for (int i = 0; i < n_shells; i++) {
mass_shell &shell = product->get_shell(i);
shell.mean_mu = 4.0/(5.0*params.smoothed_y[i] + 3);
}
/* thermal energy */
cerr << "Smoothing thermal energy\n";
for (int i = 0; i < n_shells; i++) {
mass_shell &shell = product->get_shell(i);
params.arr_y[i] = compute_energy(shell.density, shell.temperature, shell.mean_mu);
}
smoothing_integrate(params, n_shells);
for (int i = 0; i < n_shells; i++) {
mass_shell &shell = product->get_shell(i);
shell.e_thermal = params.smoothed_y[i];
// real x = params.arr_x[i];
// real y = params.arr_y[i];
// real ys = params.smoothed_y[i];
// PRC(x); PRC(y); PRL(ys);
}
/* density */
// cerr << "Smoothing density\n";
// for (int i = 0; i < n_shells; i++) {
// mass_shell &shell = product->get_shell(i);
// params.arr_y[i] = shell.density;
// }
// smoothing_integrate(params, n_shells);
// for (int i = 0; i < n_shells; i++) {
// mass_shell &shell = product->get_shell(i);
// shell.density = params.smoothed_y[i];
// }
for (int i = 0; i < n_shells; i++) {
mass_shell &shell = product->get_shell(i);
shell.pressure = compute_pressure(shell.density, shell.e_thermal, shell.mean_mu);
shell.temperature = compute_temperature(shell.density, shell.pressure, shell.mean_mu);
shell.entropy = compute_entropy(shell.density, shell.temperature, shell.mean_mu);
}
delete[] params.arr_x;
delete[] params.arr_y;
delete[] params.smoothed_y;
}
void compute_flux(int nelr, int* elements_surrounding_elements, double* normals, double* variables, double* fc_momentum_x, double* fc_momentum_y, double* fc_momentum_z, double* fc_density_energy, double* fluxes)
{
const double smoothing_coefficient = double(0.2);
#pragma acc kernels
for(int i = 0; i < nelr; i++)
{
int j, nb;
double3 normal; double normal_len;
double factor;
double density_i = variables[NVAR*i + VAR_DENSITY];
double3 momentum_i;
momentum_i.x = variables[NVAR*i + (VAR_MOMENTUM+0)];
momentum_i.y = variables[NVAR*i + (VAR_MOMENTUM+1)];
momentum_i.z = variables[NVAR*i + (VAR_MOMENTUM+2)];
double density_energy_i = variables[NVAR*i + VAR_DENSITY_ENERGY];
double3 velocity_i; compute_velocity(density_i, momentum_i, velocity_i);
double speed_sqd_i = compute_speed_sqd(velocity_i);
double speed_i = std::sqrt(speed_sqd_i);
double pressure_i = compute_pressure(density_i, density_energy_i, speed_sqd_i);
double speed_of_sound_i = compute_speed_of_sound(density_i, pressure_i);
double3 fc_i_momentum_x, fc_i_momentum_y, fc_i_momentum_z;
double3 fc_i_density_energy;
fc_i_momentum_x.x = fc_momentum_x[i*NDIM + 0];
fc_i_momentum_x.y = fc_momentum_x[i*NDIM + 1];
fc_i_momentum_x.z = fc_momentum_x[i*NDIM + 2];
fc_i_momentum_y.x = fc_momentum_y[i*NDIM + 0];
fc_i_momentum_y.y = fc_momentum_y[i*NDIM + 1];
fc_i_momentum_y.z = fc_momentum_y[i*NDIM + 2];
fc_i_momentum_z.x = fc_momentum_z[i*NDIM + 0];
fc_i_momentum_z.y = fc_momentum_z[i*NDIM + 1];
fc_i_momentum_z.z = fc_momentum_z[i*NDIM + 2];
fc_i_density_energy.x = fc_density_energy[i*NDIM + 0];
fc_i_density_energy.y = fc_density_energy[i*NDIM + 1];
fc_i_density_energy.z = fc_density_energy[i*NDIM + 2];
double flux_i_density = double(0.0);
double3 flux_i_momentum;
flux_i_momentum.x = double(0.0);
flux_i_momentum.y = double(0.0);
flux_i_momentum.z = double(0.0);
double flux_i_density_energy = double(0.0);
double3 velocity_nb;
double density_nb, density_energy_nb;
double3 momentum_nb;
double3 fc_nb_momentum_x, fc_nb_momentum_y, fc_nb_momentum_z;
double3 fc_nb_density_energy;
double speed_sqd_nb, speed_of_sound_nb, pressure_nb;
for(j = 0; j < NNB; j++)
{
nb = elements_surrounding_elements[i*NNB + j];
normal.x = normals[(i*NNB + j)*NDIM + 0];
normal.y = normals[(i*NNB + j)*NDIM + 1];
normal.z = normals[(i*NNB + j)*NDIM + 2];
normal_len = std::sqrt(normal.x*normal.x + normal.y*normal.y + normal.z*normal.z);
if(nb >= 0) // a legitimate neighbor
{
density_nb = variables[nb*NVAR + VAR_DENSITY];
momentum_nb.x = variables[nb*NVAR + (VAR_MOMENTUM+0)];
momentum_nb.y = variables[nb*NVAR + (VAR_MOMENTUM+1)];
momentum_nb.z = variables[nb*NVAR + (VAR_MOMENTUM+2)];
density_energy_nb = variables[nb*NVAR + VAR_DENSITY_ENERGY];
compute_velocity(density_nb, momentum_nb, velocity_nb);
speed_sqd_nb = compute_speed_sqd(velocity_nb);
pressure_nb = compute_pressure(density_nb, density_energy_nb, speed_sqd_nb);
speed_of_sound_nb = compute_speed_of_sound(density_nb, pressure_nb);
fc_nb_momentum_x.x = fc_momentum_x[nb*NDIM + 0];
fc_nb_momentum_x.y = fc_momentum_x[nb*NDIM + 1];
fc_nb_momentum_x.z = fc_momentum_x[nb*NDIM + 2];
fc_nb_momentum_y.x = fc_momentum_y[nb*NDIM + 0];
fc_nb_momentum_y.y = fc_momentum_y[nb*NDIM + 1];
fc_nb_momentum_y.z = fc_momentum_y[nb*NDIM + 2];
fc_nb_momentum_z.x = fc_momentum_z[nb*NDIM + 0];
fc_nb_momentum_z.y = fc_momentum_z[nb*NDIM + 1];
fc_nb_momentum_z.z = fc_momentum_z[nb*NDIM + 2];
fc_nb_density_energy.x = fc_density_energy[nb*NDIM + 0];
fc_nb_density_energy.y = fc_density_energy[nb*NDIM + 1];
// artificial viscosity
factor = -normal_len*smoothing_coefficient*double(0.5)*(speed_i + std::sqrt(speed_sqd_nb) + speed_of_sound_i + speed_of_sound_nb);
flux_i_density += factor*(density_i-density_nb);
flux_i_density_energy += factor*(density_energy_i-density_energy_nb);
flux_i_momentum.x += factor*(momentum_i.x-momentum_nb.x);
flux_i_momentum.y += factor*(momentum_i.y-momentum_nb.y);
flux_i_momentum.z += factor*(momentum_i.z-momentum_nb.z);
// accumulate cell-centered fluxes
factor = double(0.5)*normal.x;
flux_i_density += factor*(momentum_nb.x+momentum_i.x);
flux_i_density_energy += factor*(fc_nb_density_energy.x+fc_i_density_energy.x);
flux_i_momentum.x += factor*(fc_nb_momentum_x.x+fc_i_momentum_x.x);
flux_i_momentum.y += factor*(fc_nb_momentum_y.x+fc_i_momentum_y.x);
flux_i_momentum.z += factor*(fc_nb_momentum_z.x+fc_i_momentum_z.x);
factor = double(0.5)*normal.y;
flux_i_density += factor*(momentum_nb.y+momentum_i.y);
flux_i_density_energy += factor*(fc_nb_density_energy.y+fc_i_density_energy.y);
flux_i_momentum.x += factor*(fc_nb_momentum_x.y+fc_i_momentum_x.y);
flux_i_momentum.y += factor*(fc_nb_momentum_y.y+fc_i_momentum_y.y);
flux_i_momentum.z += factor*(fc_nb_momentum_z.y+fc_i_momentum_z.y);
factor = double(0.5)*normal.z;
flux_i_density += factor*(momentum_nb.z+momentum_i.z);
flux_i_density_energy += factor*(fc_nb_density_energy.z+fc_i_density_energy.z);
flux_i_momentum.x += factor*(fc_nb_momentum_x.z+fc_i_momentum_x.z);
flux_i_momentum.y += factor*(fc_nb_momentum_y.z+fc_i_momentum_y.z);
flux_i_momentum.z += factor*(fc_nb_momentum_z.z+fc_i_momentum_z.z);
}
else if(nb == -1) // a wing boundary
{
flux_i_momentum.x += normal.x*pressure_i;
flux_i_momentum.y += normal.y*pressure_i;
flux_i_momentum.z += normal.z*pressure_i;
}
else if(nb == -2) // a far field boundary
{
factor = double(0.5)*normal.x;
flux_i_density += factor*(ff_variable[VAR_MOMENTUM+0]+momentum_i.x);
flux_i_density_energy += factor*(ff_fc_density_energy.x+fc_i_density_energy.x);
flux_i_momentum.x += factor*(ff_fc_momentum_x.x + fc_i_momentum_x.x);
flux_i_momentum.y += factor*(ff_fc_momentum_y.x + fc_i_momentum_y.x);
flux_i_momentum.z += factor*(ff_fc_momentum_z.x + fc_i_momentum_z.x);
factor = double(0.5)*normal.y;
flux_i_density += factor*(ff_variable[VAR_MOMENTUM+1]+momentum_i.y);
flux_i_density_energy += factor*(ff_fc_density_energy.y+fc_i_density_energy.y);
flux_i_momentum.x += factor*(ff_fc_momentum_x.y + fc_i_momentum_x.y);
flux_i_momentum.y += factor*(ff_fc_momentum_y.y + fc_i_momentum_y.y);
flux_i_momentum.z += factor*(ff_fc_momentum_z.y + fc_i_momentum_z.y);
factor = double(0.5)*normal.z;
flux_i_density += factor*(ff_variable[VAR_MOMENTUM+2]+momentum_i.z);
flux_i_density_energy += factor*(ff_fc_density_energy.z+fc_i_density_energy.z);
flux_i_momentum.x += factor*(ff_fc_momentum_x.z + fc_i_momentum_x.z);
flux_i_momentum.y += factor*(ff_fc_momentum_y.z + fc_i_momentum_y.z);
flux_i_momentum.z += factor*(ff_fc_momentum_z.z + fc_i_momentum_z.z);
}
}
fluxes[i*NVAR + VAR_DENSITY] = flux_i_density;
fluxes[i*NVAR + (VAR_MOMENTUM+0)] = flux_i_momentum.x;
fluxes[i*NVAR + (VAR_MOMENTUM+1)] = flux_i_momentum.y;
fluxes[i*NVAR + (VAR_MOMENTUM+2)] = flux_i_momentum.z;
fluxes[i*NVAR + VAR_DENSITY_ENERGY] = flux_i_density_energy;
}
}
