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prometeo_average.inl
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// Copyright (c) "2019, by Stanford University
// Developer: Mario Di Renzo
// Affiliation: Center for Turbulence Research, Stanford University
// URL: https://ctr.stanford.edu
// Citation: Di Renzo, M., Lin, F., and Urzay, J. (2020).
// HTR solver: An open-source exascale-oriented task-based
// multi-GPU high-order code for hypersonic aerothermodynamics.
// Computer Physics Communications 255, 107262"
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
// ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
// WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
// DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER BE LIABLE FOR ANY
// DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
// LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
// ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#include "prometeo_metric.inl"
//-----------------------------------------------------------------------------
// INLINE FUNCTIONS FOR AverageUtils
//-----------------------------------------------------------------------------
template<int N>
__CUDA_H__
inline double AverageUtils<N>::getWeight(
const AccessorRO<double, 3> &dcsi_d,
const AccessorRO<double, 3> &deta_d,
const AccessorRO<double, 3> &dzet_d,
const Point<3> &p,
const double deltaTime) {
return deltaTime/(dcsi_d[p]*deta_d[p]*dzet_d[p]);
};
template<int N>
__CUDA_H__
inline double AverageUtils<N>::getFavreWeight(
const AccessorRO<double, 3> &dcsi_d,
const AccessorRO<double, 3> &deta_d,
const AccessorRO<double, 3> &dzet_d,
const AccessorRO<double, 3> &rho,
const Point<3> &p,
const double deltaTime) {
return rho[p]*deltaTime/(dcsi_d[p]*deta_d[p]*dzet_d[p]);
};
template<int N>
template<typename T>
__CUDA_H__
inline void AverageUtils<N>::Avg(
const T &f,
const AccessorSumRD<T, N> &avg,
const Point<N> &pA,
const double weight) {
avg[pA] <<= weight*f;
};
template<int N>
template<typename T>
__CUDA_H__
inline void AverageUtils<N>::Avg(
const T &f,
const AccessorSumRD<T, N> &avg,
const AccessorSumRD<T, N> &rms,
const Point<N> &pA,
const double weight) {
avg[pA] <<= weight*f;
rms[pA] <<= weight*f*f;
};
template<int N>
template<typename T>
__CUDA_H__
inline void AverageUtils<N>::Avg(
const AccessorRO<T, 3> &f,
const AccessorSumRD<T, N> &avg,
const Point<3> &p,
const Point<N> &pA,
const double weight) {
avg[pA] <<= weight*f[p];
};
template<int N>
template<typename T>
__CUDA_H__
inline void AverageUtils<N>::Avg(
const AccessorRO<T, 3> &f,
const AccessorSumRD<T, N> &avg,
const AccessorSumRD<T, N> &rms,
const Point<3> &p,
const Point<N> &pA,
const double weight) {
avg[pA] <<= weight*f[p];
rms[pA] <<= weight*f[p]*f[p];
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::Cor(
const AccessorRO<double, 3> &s,
const AccessorRO< Vec3, 3> &v,
const AccessorSumRD<Vec3, N> &cor,
const Point<3> &p,
const Point<N> &pA,
const double weight) {
cor[pA] <<= weight*s[p]*v[p];
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::Cor(
const AccessorRO<VecNSp, 3> &v1,
const AccessorRO< Vec3, 3> &v2,
const AccessorSumRD<VecNSp, N> &cor0,
const AccessorSumRD<VecNSp, N> &cor1,
const AccessorSumRD<VecNSp, N> &cor2,
const Point<3> &p,
const Point<N> &pA,
const double weight) {
cor0[pA] <<= weight*v1[p]*v2[p][0];
cor1[pA] <<= weight*v1[p]*v2[p][1];
cor2[pA] <<= weight*v1[p]*v2[p][2];
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::Avg(
const AccessorRO<Vec3, 3> &f,
const AccessorSumRD<Vec3, N> &avg,
const AccessorSumRD<Vec3, N> &rms,
const AccessorSumRD<Vec3, N> &rey,
const Point<3> &p,
const Point<N> &pA,
const double weight) {
avg[pA] <<= weight*f[p];
rms[pA] <<= weight*f[p]*f[p];
Vec3 r;
r[0] = f[p][0]*f[p][1]*weight;
r[1] = f[p][0]*f[p][2]*weight;
r[2] = f[p][1]*f[p][2]*weight;
rey[pA] <<= r;
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::PositionAndWeight(
const AccessorRO< Vec3, 3> ¢erCoordinates,
const AccessorSumRD<double, N> &avg_weight,
const AccessorSumRD< Vec3, N> &avg_centerCoordinates,
const Point<3> &p,
const Point<N> &pA,
const double weight) {
// Average weight
avg_weight[pA] <<= weight;
// Grid point
avg_centerCoordinates[pA] <<= centerCoordinates[p]*weight;
}
template<int N>
__CUDA_H__
inline void AverageUtils<N>::CpEntAvg(
const AccessorRO<double, 3> &temperature,
const AccessorRO<VecNSp, 3> &MassFracs,
const AccessorSumRD<double, N> &cp_avg,
const AccessorSumRD<double, N> &cp_favg,
const AccessorSumRD<double, N> &Ent_avg,
const AccessorSumRD<double, N> &Ent_favg,
const Point<3> &p,
const Point<N> &pA,
const Mix &mix,
const double weight,
const double fweight) {
const double cp = mix.GetHeatCapacity(temperature[p], MassFracs[p]);
double Ent = 0.0;
__UNROLL__
for (int i=0; i < nSpec; i++)
Ent += MassFracs[p][i]*mix.GetSpeciesEnthalpy(i, temperature[p]);
Avg(cp, cp_avg, pA, weight);
Avg(cp, cp_favg, pA, fweight);
Avg(Ent, Ent_avg, pA, weight);
Avg(Ent, Ent_favg, pA, fweight);
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::ProdRatesAvg(
const AccessorRO<double, 3> &pressure,
const AccessorRO<double, 3> &temperature,
const AccessorRO<VecNSp, 3> &MassFracs,
const AccessorRO<double, 3> &rho,
const AccessorSumRD<VecNSp, N> &ProductionRates_avg,
const AccessorSumRD<VecNSp, N> &ProductionRates_rms,
const AccessorSumRD<double, N> &HeatReleaseRate_avg,
const AccessorSumRD<double, N> &HeatReleaseRate_rms,
const Point<3> &p,
const Point<N> &pA,
const Mix &mix,
const double weight) {
VecNSp w; mix.GetProductionRates(w, rho[p], pressure[p], temperature[p], MassFracs[p]);
double HR = 0.0;
__UNROLL__
for (int i=0; i < nSpec; i++)
HR += w[i]*mix.GetSpeciesEnthalpy(i, temperature[p]);
Avg( w, ProductionRates_avg, ProductionRates_rms, pA, weight);
Avg(HR, HeatReleaseRate_avg, HeatReleaseRate_rms, pA, weight);
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::HeatFluxAvg(
const AccessorRO< int, 3> &nType_x,
const AccessorRO< int, 3> &nType_y,
const AccessorRO< int, 3> &nType_z,
const AccessorRO<double, 3> &dcsi_d,
const AccessorRO<double, 3> &deta_d,
const AccessorRO<double, 3> &dzet_d,
const AccessorRO<double, 3> &temperature,
const AccessorRO<VecNSp, 3> &MolarFracs,
const AccessorRO<VecNSp, 3> &MassFracs,
const AccessorRO<double, 3> &rho,
const AccessorRO<double, 3> &lam,
const AccessorRO<VecNSp, 3> &Di,
#if (defined(ELECTRIC_FIELD) && (nIons > 0))
const AccessorRO<VecNIo, 3> &Ki,
const AccessorRO< Vec3, 3> &eField,
#endif
const AccessorSumRD< Vec3, N> &q_avg,
const Point<3> &p,
const Point<N> &pA,
const Rect<3> &Fluid_bounds,
const Mix &mix,
const double weight) {
// Fourier heat fluxes
q_avg[pA] <<= (-lam[p]*weight)*getGrad(temperature, p,
nType_x[p], nType_y[p], nType_z[p],
dcsi_d[p], deta_d[p], dzet_d[p],
Fluid_bounds);
// Species diffusion flux
const coord_t size_x = getSize<Xdir>(Fluid_bounds);
const coord_t size_y = getSize<Ydir>(Fluid_bounds);
const coord_t size_z = getSize<Zdir>(Fluid_bounds);
const Point<3> pM1_x = warpPeriodic<Xdir, Minus>(Fluid_bounds, p, size_x, offM1(nType_x[p]));
const Point<3> pM1_y = warpPeriodic<Ydir, Minus>(Fluid_bounds, p, size_y, offM1(nType_y[p]));
const Point<3> pM1_z = warpPeriodic<Zdir, Minus>(Fluid_bounds, p, size_z, offM1(nType_z[p]));
const Point<3> pP1_x = warpPeriodic<Xdir, Plus >(Fluid_bounds, p, size_x, offP1(nType_x[p]));
const Point<3> pP1_y = warpPeriodic<Ydir, Plus >(Fluid_bounds, p, size_y, offP1(nType_y[p]));
const Point<3> pP1_z = warpPeriodic<Zdir, Plus >(Fluid_bounds, p, size_z, offP1(nType_z[p]));
const double iMixW = 1.0/mix.GetMolarWeightFromXi(MolarFracs[p]);
Vec3 Ji;
Vec3 JiCorr; JiCorr.init(0);
__UNROLL__
for (int i=0; i<nSpec; i++) {
Ji[0] = -getDeriv(nType_x[p], MolarFracs[pM1_x][i], MolarFracs[p][i], MolarFracs[pP1_x][i], dcsi_d[p]);
Ji[1] = -getDeriv(nType_y[p], MolarFracs[pM1_y][i], MolarFracs[p][i], MolarFracs[pP1_y][i], deta_d[p]);
Ji[2] = -getDeriv(nType_z[p], MolarFracs[pM1_z][i], MolarFracs[p][i], MolarFracs[pP1_z][i], dzet_d[p]);
Ji *= (rho[p]*Di[p][i]*mix.GetSpeciesMolarWeight(i)*iMixW);
JiCorr += Ji;
// Add species diffusion contribution to heat flux
q_avg[pA] <<= weight*Ji*mix.GetSpeciesEnthalpy(i, temperature[p]);
}
#if (defined(ELECTRIC_FIELD) && (nIons > 0))
// add species drift
__UNROLL__
for (int i=0; i<nIons; i++) {
const uint8_t ind = mix.ions[i];
Ji = mix.GetSpeciesChargeNumber(ind)*Ki[p][i]*eField[p];
Ji *= rho[p]*MassFracs[p][ind];
JiCorr += Ji;
// Add species drift contribution to heat flux
q_avg[pA] <<= weight*Ji*mix.GetSpeciesEnthalpy(ind, temperature[p]);
}
#endif
__UNROLL__
for (int i=0; i<nSpec; i++)
// Add species diffusion correction contribution to heat flux
q_avg[pA] <<= JiCorr*(-MassFracs[p][i]*mix.GetSpeciesEnthalpy(i, temperature[p]));
}
template<int N>
__CUDA_H__
inline void AverageUtils<N>::AvgKineticEnergyBudget(
const AccessorRO<double, 3> &pressure,
const AccessorRO< Vec3, 3> &velocity,
const AccessorRO<double, 3> &rho,
const AccessorSumRD< Vec3, N> &rhoUUv_avg,
const AccessorSumRD< Vec3, N> &Up_avg,
const Point<3> &p,
const Point<N> &pA,
const double weight) {
// Kinetic energy budgets (y is the inhomogeneous direction)
rhoUUv_avg[pA] <<= velocity[p]*velocity[p]*(rho[p]*velocity[p][1]*weight);
Up_avg[pA] <<= velocity[p]*(pressure[p]*weight);
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::AvgKineticEnergyBudget_Tau(
const AccessorRO< int, 3> &nType_x,
const AccessorRO< int, 3> &nType_y,
const AccessorRO< int, 3> &nType_z,
const AccessorRO<double, 3> &dcsi_d,
const AccessorRO<double, 3> &deta_d,
const AccessorRO<double, 3> &dzet_d,
const AccessorRO<double, 3> &pressure,
const AccessorRO< Vec3, 3> &velocity,
const AccessorRO<double, 3> &rho,
const AccessorRO<double, 3> &mu,
const AccessorSumRD<TauMat, N> &tau_avg,
const AccessorSumRD< Vec3, N> &utau_y_avg,
const AccessorSumRD< Vec3, N> &tauGradU_avg,
const AccessorSumRD< Vec3, N> &pGradU_avg,
const Point<3> &p,
const Point<N> &pA,
const Rect<3> &Fluid_bounds,
const Mix &mix,
const double weight) {
// Compute velocity gradient
const coord_t size_x = getSize<Xdir>(Fluid_bounds);
const coord_t size_y = getSize<Ydir>(Fluid_bounds);
const coord_t size_z = getSize<Zdir>(Fluid_bounds);
const Point<3> pM1_x = warpPeriodic<Xdir, Minus>(Fluid_bounds, p, size_x, offM1(nType_x[p]));
const Point<3> pM1_y = warpPeriodic<Ydir, Minus>(Fluid_bounds, p, size_y, offM1(nType_y[p]));
const Point<3> pM1_z = warpPeriodic<Zdir, Minus>(Fluid_bounds, p, size_z, offM1(nType_z[p]));
const Point<3> pP1_x = warpPeriodic<Xdir, Plus >(Fluid_bounds, p, size_x, offP1(nType_x[p]));
const Point<3> pP1_y = warpPeriodic<Ydir, Plus >(Fluid_bounds, p, size_y, offP1(nType_y[p]));
const Point<3> pP1_z = warpPeriodic<Zdir, Plus >(Fluid_bounds, p, size_z, offP1(nType_z[p]));
Vec3 vGradX;
__UNROLL__
for (int i=0; i<3; i++)
vGradX[i] = getDeriv(nType_x[p], velocity[pM1_x][i], velocity[p][i], velocity[pP1_x][i], dcsi_d[p]);
Vec3 vGradY;
__UNROLL__
for (int i=0; i<3; i++)
vGradY[i] = getDeriv(nType_y[p], velocity[pM1_y][i], velocity[p][i], velocity[pP1_y][i], deta_d[p]);
Vec3 vGradZ;
__UNROLL__
for (int i=0; i<3; i++)
vGradZ[i] = getDeriv(nType_z[p], velocity[pM1_z][i], velocity[p][i], velocity[pP1_z][i], dzet_d[p]);
TauMat tau;
tau(0, 0) = mu[p]*(4.0*vGradX[0] - 2.0*vGradY[1] - 2.0*vGradZ[2])/3.0;
tau(0, 1) = mu[p]*(vGradX[1] + vGradY[0]);
tau(0, 2) = mu[p]*(vGradZ[0] + vGradX[2]);
tau(1, 1) = mu[p]*(4.0*vGradY[1] - 2.0*vGradX[0] - 2.0*vGradZ[2])/3.0;
tau(1, 2) = mu[p]*(vGradY[2] + vGradZ[1]);
tau(2, 2) = mu[p]*(4.0*vGradZ[2] - 2.0*vGradX[0] - 2.0-vGradY[1])/3.0;
// Kinetic energy budgets (y is the inhomogeneous direction)
tau_avg[pA] <<= tau*weight;
{
Vec3 utau_y;
utau_y[0] = velocity[p][0]*tau(0, 1);
utau_y[1] = velocity[p][1]*tau(1, 1);
utau_y[2] = velocity[p][2]*tau(2, 1);
utau_y_avg[pA] <<= utau_y*weight;
}
{
Vec3 tauGradU;
__UNROLL__
for (int i=0; i<3; i++)
tauGradU[i] = tau(i, 0)*vGradX[i] + tau(i, 1)*vGradY[i] + tau(i, 2)*vGradZ[i];
tauGradU_avg[pA] <<= tauGradU*weight;
}
{
Vec3 pGradU;
pGradU[0] = vGradX[0]*pressure[p];
pGradU[1] = vGradY[1]*pressure[p];
pGradU[2] = vGradZ[2]*pressure[p];
pGradU_avg[pA] <<= pGradU*weight;
}
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::PrEcAvg(
const AccessorRO<double, 3> &temperature,
const AccessorRO<VecNSp, 3> &MassFracs,
const AccessorRO< Vec3, 3> &velocity,
const AccessorRO<double, 3> &mu,
const AccessorRO<double, 3> &lam,
const AccessorSumRD<double, N> &Pr_avg,
const AccessorSumRD<double, N> &Pr_rms,
const AccessorSumRD<double, N> &Ec_avg,
const AccessorSumRD<double, N> &Ec_rms,
const Point<3> &p,
const Point<N> &pA,
const Mix &mix,
const double weight) {
const double cp = mix.GetHeatCapacity(temperature[p], MassFracs[p]);
const double u2 = velocity[p].mod2();
const double Pr = cp*mu[p]/lam[p];
const double Ec = u2/(cp*temperature[p]);
Avg(Pr, Pr_avg, Pr_rms, pA, weight);
Avg(Ec, Ec_avg, Ec_rms, pA, weight);
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::MaAvg(
const AccessorRO< Vec3, 3> &velocity,
const AccessorRO<double, 3> &SoS,
const AccessorSumRD<double, N> &Ma_avg,
const Point<3> &p,
const Point<N> &pA,
const double weight) {
const double Ma = sqrt(velocity[p].mod2())/SoS[p];
Avg( Ma, Ma_avg, pA, weight);
};
template<int N>
__CUDA_H__
inline void AverageUtils<N>::ScAvg(
const AccessorRO<double, 3> &rho,
const AccessorRO<double, 3> &mu,
const AccessorRO<VecNSp, 3> &Di,
const AccessorSumRD<VecNSp, N> &Sc_avg,
const Point<3> &p,
const Point<N> &pA,
const double weight) {
const double nu = mu[p]/rho[p];
VecNSp Sc;
__UNROLL__
for (int i=0; i < nSpec; i++)
Sc[i] = nu/Di[p][i];
Avg( Sc, Sc_avg, pA, weight);
};
#ifdef ELECTRIC_FIELD
template<int N>
__CUDA_H__
inline void AverageUtils<N>::ElectricChargeAvg(
const AccessorRO<VecNSp, 3> &MolarFracs,
const AccessorRO<double, 3> &rho,
const AccessorSumRD<double, N> &Crg_avg,
const Point<3> &p,
const Point<N> &pA,
const Mix &mix,
const double weight) {
const double MixW = mix.GetMolarWeightFromXi(MolarFracs[p]);
Crg_avg[pA] <<= mix.GetElectricChargeDensity(rho[p], MixW, MolarFracs[p])*weight;
};
#endif