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flow_diffusion.cpp
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987 lines (757 loc) · 36.6 KB
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/*!
* \file flow_diffusion.cpp
* \brief Implementation of numerics classes for discretization
* of viscous fluxes in fluid flow problems.
* \author F. Palacios, T. Economon
* \version 8.4.0 "Harrier"
*
* SU2 Project Website: https://su2code.github.io
*
* The SU2 Project is maintained by the SU2 Foundation
* (http://su2foundation.org)
*
* Copyright 2012-2026, SU2 Contributors (cf. AUTHORS.md)
*
* SU2 is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* SU2 is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with SU2. If not, see <http://www.gnu.org/licenses/>.
*/
#include "../../../include/numerics/flow/flow_diffusion.hpp"
#include "../../../../Common/include/toolboxes/geometry_toolbox.hpp"
CAvgGrad_Base::CAvgGrad_Base(unsigned short val_nDim,
unsigned short val_nVar,
unsigned short val_nPrimVar,
bool val_correct_grad,
const CConfig* config)
: CNumerics(val_nDim, val_nVar, config),
nPrimVar(val_nPrimVar),
correct_gradient(val_correct_grad) {
unsigned short iVar, iDim;
implicit = (config->GetKind_TimeIntScheme_Flow() == EULER_IMPLICIT);
TauWall_i = 0; TauWall_j = 0;
Mean_PrimVar = new su2double [nPrimVar];
Mean_GradPrimVar = new su2double* [nPrimVar];
for (iVar = 0; iVar < nPrimVar; iVar++)
Mean_GradPrimVar[iVar] = new su2double [nDim];
tau_jacobian_i = new su2double* [nDim];
for (iDim = 0; iDim < nDim; iDim++) {
tau_jacobian_i[iDim] = new su2double [nVar];
}
heat_flux_jac_i = new su2double[nVar];
Jacobian_i = new su2double* [nVar];
Jacobian_j = new su2double* [nVar];
for (iVar = 0; iVar < nVar; iVar++) {
Jacobian_i[iVar] = new su2double [nVar];
Jacobian_j[iVar] = new su2double [nVar];
}
}
CAvgGrad_Base::~CAvgGrad_Base() {
delete [] Mean_PrimVar;
if (Mean_GradPrimVar != nullptr) {
for (unsigned short iVar = 0; iVar < nPrimVar; iVar++)
delete [] Mean_GradPrimVar[iVar];
delete [] Mean_GradPrimVar;
}
if (tau_jacobian_i != nullptr) {
for (unsigned short iDim = 0; iDim < nDim; iDim++) {
delete [] tau_jacobian_i[iDim];
}
delete [] tau_jacobian_i;
}
delete [] heat_flux_jac_i;
if (Jacobian_i != nullptr) {
for (unsigned short iVar = 0; iVar < nVar; iVar++) {
delete [] Jacobian_i[iVar];
delete [] Jacobian_j[iVar];
}
delete [] Jacobian_i;
delete [] Jacobian_j;
}
}
void CAvgGrad_Base::CorrectGradient(su2double** GradPrimVar,
const su2double* val_PrimVar_i,
const su2double* val_PrimVar_j,
const su2double* val_edge_vector,
const su2double val_dist_ij_2,
const unsigned short val_nPrimVar) {
for (unsigned short iVar = 0; iVar < val_nPrimVar; iVar++) {
su2double Proj_Mean_GradPrimVar_Edge = 0.0;
for (unsigned short iDim = 0; iDim < nDim; iDim++) {
Proj_Mean_GradPrimVar_Edge += GradPrimVar[iVar][iDim]*val_edge_vector[iDim];
}
for (unsigned short iDim = 0; iDim < nDim; iDim++) {
GradPrimVar[iVar][iDim] -= (Proj_Mean_GradPrimVar_Edge -
(val_PrimVar_j[iVar]-val_PrimVar_i[iVar]))*val_edge_vector[iDim] / val_dist_ij_2;
}
}
}
void CAvgGrad_Base::SetStressTensor(const su2double *val_primvar,
const su2double* const *val_gradprimvar,
const su2double val_turb_ke,
const su2double val_laminar_viscosity,
const su2double val_eddy_viscosity) {
const su2double Density = val_primvar[nDim+2];
/* --- If UQ methodology is used, use the perturbed Reynolds stress tensor
* for the turbulent part of tau. Otherwise both the laminar and turbulent
* parts of tau can be computed with the total viscosity. --- */
if (sstParsedOptions.uq) {
// laminar part
ComputeStressTensor(nDim, tau, val_gradprimvar+1, val_laminar_viscosity);
// add turbulent part which was perturbed
for (unsigned short iDim = 0 ; iDim < nDim; iDim++)
for (unsigned short jDim = 0 ; jDim < nDim; jDim++)
tau[iDim][jDim] += (-Density) * MeanPerturbedRSM[iDim][jDim];
} else {
const su2double total_viscosity = val_laminar_viscosity + val_eddy_viscosity;
// turb_ke is not considered in the stress tensor, see #797
ComputeStressTensor(nDim, tau, val_gradprimvar+1, total_viscosity, Density, su2double(0.0));
}
}
void CAvgGrad_Base::SetHeatFluxVector(const su2double* const* val_gradprimvar, const su2double val_eddy_viscosity,
const su2double val_thermal_conductivity, const su2double val_heat_capacity_cp) {
const su2double heat_flux_factor =
val_thermal_conductivity + val_heat_capacity_cp * val_eddy_viscosity / Prandtl_Turb;
/*--- Gradient of primitive variables -> [Temp vel_x vel_y vel_z Pressure] ---*/
for (unsigned short iDim = 0; iDim < nDim; iDim++) {
heat_flux_vector[iDim] = heat_flux_factor * val_gradprimvar[0][iDim];
}
}
void CAvgGrad_Base::AddTauWall(const su2double *UnitNormal,
const su2double TauWall) {
/*--- Compute the wall shear stress as the magnitude of the
tangential projection of the shear stress tensor. ---*/
su2double TauTangent[MAXNDIM];
GeometryToolbox::TangentProjection(nDim, tau, UnitNormal, TauTangent);
su2double WallShearStress = GeometryToolbox::Norm(nDim, TauTangent);
su2double Scale = TauWall / fmax(WallShearStress, EPS);
/*--- Scale the stress tensor by the ratio of the wall shear stress
(from wall functions) to the one computed above. ---*/
for (auto iDim = 0u; iDim < nDim; iDim++)
for (auto jDim = 0u; jDim < nDim; jDim++)
tau[iDim][jDim] *= Scale;
}
void CAvgGrad_Base::SetTauJacobian(const su2double *val_Mean_PrimVar,
const su2double val_laminar_viscosity,
const su2double val_eddy_viscosity,
const su2double val_dist_ij,
const su2double *val_normal) {
/*--- QCR and wall functions are **not** accounted for here ---*/
const su2double Density = val_Mean_PrimVar[nDim+2];
const su2double total_viscosity = val_laminar_viscosity + val_eddy_viscosity;
const su2double xi = total_viscosity/(Density*val_dist_ij);
for (unsigned short iDim = 0; iDim < nDim; iDim++) {
for (unsigned short jDim = 0; jDim < nDim; jDim++) {
// Jacobian w.r.t. momentum
tau_jacobian_i[iDim][jDim+1] = -xi*(delta[iDim][jDim] + val_normal[iDim]*val_normal[jDim]/3.0);
}
// Jacobian w.r.t. density
tau_jacobian_i[iDim][0] = 0;
for (unsigned short jDim = 0; jDim < nDim; jDim++) {
tau_jacobian_i[iDim][0] -= tau_jacobian_i[iDim][jDim+1]*val_Mean_PrimVar[jDim+1];
}
// Jacobian w.r.t. energy
tau_jacobian_i[iDim][nDim+1] = 0;
}
}
void CAvgGrad_Base::SetIncTauJacobian(const su2double val_laminar_viscosity,
const su2double val_eddy_viscosity,
const su2double val_dist_ij,
const su2double *val_normal) {
const su2double total_viscosity = val_laminar_viscosity + val_eddy_viscosity;
const su2double xi = total_viscosity/val_dist_ij;
for (unsigned short iDim = 0; iDim < nDim; iDim++) {
tau_jacobian_i[iDim][0] = 0;
for (unsigned short jDim = 0; jDim < nDim; jDim++) {
tau_jacobian_i[iDim][jDim+1] = -xi*(delta[iDim][jDim] + val_normal[iDim]*val_normal[jDim]/3.0);
}
tau_jacobian_i[iDim][nDim+1] = 0;
}
}
void CAvgGrad_Base::GetViscousProjFlux(const su2double *val_primvar,
const su2double *val_normal) {
/*--- Primitive variables -> [Temp vel_x vel_y vel_z Pressure] ---*/
su2double Flux_Tensor[5][3];
if (nDim == 2) {
Flux_Tensor[0][0] = 0.0;
Flux_Tensor[1][0] = tau[0][0];
Flux_Tensor[2][0] = tau[0][1];
Flux_Tensor[3][0] = tau[0][0]*val_primvar[1] + tau[0][1]*val_primvar[2]+
heat_flux_vector[0];
Flux_Tensor[0][1] = 0.0;
Flux_Tensor[1][1] = tau[1][0];
Flux_Tensor[2][1] = tau[1][1];
Flux_Tensor[3][1] = tau[1][0]*val_primvar[1] + tau[1][1]*val_primvar[2]+
heat_flux_vector[1];
} else {
Flux_Tensor[0][0] = 0.0;
Flux_Tensor[1][0] = tau[0][0];
Flux_Tensor[2][0] = tau[0][1];
Flux_Tensor[3][0] = tau[0][2];
Flux_Tensor[4][0] = tau[0][0]*val_primvar[1] + tau[0][1]*val_primvar[2] + tau[0][2]*val_primvar[3] +
heat_flux_vector[0];
Flux_Tensor[0][1] = 0.0;
Flux_Tensor[1][1] = tau[1][0];
Flux_Tensor[2][1] = tau[1][1];
Flux_Tensor[3][1] = tau[1][2];
Flux_Tensor[4][1] = tau[1][0]*val_primvar[1] + tau[1][1]*val_primvar[2] + tau[1][2]*val_primvar[3] +
heat_flux_vector[1];
Flux_Tensor[0][2] = 0.0;
Flux_Tensor[1][2] = tau[2][0];
Flux_Tensor[2][2] = tau[2][1];
Flux_Tensor[3][2] = tau[2][2];
Flux_Tensor[4][2] = tau[2][0]*val_primvar[1] + tau[2][1]*val_primvar[2] + tau[2][2]*val_primvar[3] +
heat_flux_vector[2];
}
for (unsigned short iVar = 0; iVar < nVar; iVar++) {
Proj_Flux_Tensor[iVar] = 0.0;
for (unsigned short iDim = 0; iDim < nDim; iDim++)
Proj_Flux_Tensor[iVar] += Flux_Tensor[iVar][iDim] * val_normal[iDim];
}
}
void CAvgGrad_Base::GetViscousProjJacs(const su2double *val_Mean_PrimVar,
const su2double val_dS,
const su2double *val_Proj_Visc_Flux,
su2double **val_Proj_Jac_Tensor_i,
su2double **val_Proj_Jac_Tensor_j) {
const su2double Density = val_Mean_PrimVar[nDim+2];
const su2double factor = 0.5/Density;
if (nDim == 2) {
val_Proj_Jac_Tensor_i[0][0] = 0.0;
val_Proj_Jac_Tensor_i[0][1] = 0.0;
val_Proj_Jac_Tensor_i[0][2] = 0.0;
val_Proj_Jac_Tensor_i[0][3] = 0.0;
val_Proj_Jac_Tensor_i[1][0] = val_dS*tau_jacobian_i[0][0];
val_Proj_Jac_Tensor_i[1][1] = val_dS*tau_jacobian_i[0][1];
val_Proj_Jac_Tensor_i[1][2] = val_dS*tau_jacobian_i[0][2];
val_Proj_Jac_Tensor_i[1][3] = val_dS*tau_jacobian_i[0][3];
val_Proj_Jac_Tensor_i[2][0] = val_dS*tau_jacobian_i[1][0];
val_Proj_Jac_Tensor_i[2][1] = val_dS*tau_jacobian_i[1][1];
val_Proj_Jac_Tensor_i[2][2] = val_dS*tau_jacobian_i[1][2];
val_Proj_Jac_Tensor_i[2][3] = val_dS*tau_jacobian_i[1][3];
const su2double contraction = tau_jacobian_i[0][0]*val_Mean_PrimVar[1] +
tau_jacobian_i[1][0]*val_Mean_PrimVar[2];
val_Proj_Jac_Tensor_i[3][0] = val_dS*(contraction - heat_flux_jac_i[0]);
val_Proj_Jac_Tensor_i[3][1] = -val_dS*(tau_jacobian_i[0][0] + heat_flux_jac_i[1]);
val_Proj_Jac_Tensor_i[3][2] = -val_dS*(tau_jacobian_i[1][0] + heat_flux_jac_i[2]);
val_Proj_Jac_Tensor_i[3][3] = -val_dS*heat_flux_jac_i[3];
for (unsigned short iVar = 0; iVar < nVar; iVar++)
for (unsigned short jVar = 0; jVar < nVar; jVar++)
val_Proj_Jac_Tensor_j[iVar][jVar] = -val_Proj_Jac_Tensor_i[iVar][jVar];
const su2double proj_viscousflux_vel= val_Proj_Visc_Flux[1]*val_Mean_PrimVar[1] +
val_Proj_Visc_Flux[2]*val_Mean_PrimVar[2];
val_Proj_Jac_Tensor_i[3][0] -= factor*proj_viscousflux_vel;
val_Proj_Jac_Tensor_j[3][0] -= factor*proj_viscousflux_vel;
val_Proj_Jac_Tensor_i[3][1] += factor*val_Proj_Visc_Flux[1];
val_Proj_Jac_Tensor_j[3][1] += factor*val_Proj_Visc_Flux[1];
val_Proj_Jac_Tensor_i[3][2] += factor*val_Proj_Visc_Flux[2];
val_Proj_Jac_Tensor_j[3][2] += factor*val_Proj_Visc_Flux[2];
} else {
val_Proj_Jac_Tensor_i[0][0] = 0.0;
val_Proj_Jac_Tensor_i[0][1] = 0.0;
val_Proj_Jac_Tensor_i[0][2] = 0.0;
val_Proj_Jac_Tensor_i[0][3] = 0.0;
val_Proj_Jac_Tensor_i[0][4] = 0.0;
val_Proj_Jac_Tensor_i[1][0] = val_dS*tau_jacobian_i[0][0];
val_Proj_Jac_Tensor_i[1][1] = val_dS*tau_jacobian_i[0][1];
val_Proj_Jac_Tensor_i[1][2] = val_dS*tau_jacobian_i[0][2];
val_Proj_Jac_Tensor_i[1][3] = val_dS*tau_jacobian_i[0][3];
val_Proj_Jac_Tensor_i[1][4] = val_dS*tau_jacobian_i[0][4];
val_Proj_Jac_Tensor_i[2][0] = val_dS*tau_jacobian_i[1][0];
val_Proj_Jac_Tensor_i[2][1] = val_dS*tau_jacobian_i[1][1];
val_Proj_Jac_Tensor_i[2][2] = val_dS*tau_jacobian_i[1][2];
val_Proj_Jac_Tensor_i[2][3] = val_dS*tau_jacobian_i[1][3];
val_Proj_Jac_Tensor_i[2][4] = val_dS*tau_jacobian_i[1][4];
val_Proj_Jac_Tensor_i[3][0] = val_dS*tau_jacobian_i[2][0];
val_Proj_Jac_Tensor_i[3][1] = val_dS*tau_jacobian_i[2][1];
val_Proj_Jac_Tensor_i[3][2] = val_dS*tau_jacobian_i[2][2];
val_Proj_Jac_Tensor_i[3][3] = val_dS*tau_jacobian_i[2][3];
val_Proj_Jac_Tensor_i[3][4] = val_dS*tau_jacobian_i[2][4];
const su2double contraction = tau_jacobian_i[0][0]*val_Mean_PrimVar[1] +
tau_jacobian_i[1][0]*val_Mean_PrimVar[2] +
tau_jacobian_i[2][0]*val_Mean_PrimVar[3];
val_Proj_Jac_Tensor_i[4][0] = val_dS*(contraction - heat_flux_jac_i[0]);
val_Proj_Jac_Tensor_i[4][1] = -val_dS*(tau_jacobian_i[0][0] + heat_flux_jac_i[1]);
val_Proj_Jac_Tensor_i[4][2] = -val_dS*(tau_jacobian_i[1][0] + heat_flux_jac_i[2]);
val_Proj_Jac_Tensor_i[4][3] = -val_dS*(tau_jacobian_i[2][0] + heat_flux_jac_i[3]);
val_Proj_Jac_Tensor_i[4][4] = -val_dS*heat_flux_jac_i[4];
for (unsigned short iVar = 0; iVar < nVar; iVar++)
for (unsigned short jVar = 0; jVar < nVar; jVar++)
val_Proj_Jac_Tensor_j[iVar][jVar] = -val_Proj_Jac_Tensor_i[iVar][jVar];
const su2double proj_viscousflux_vel= val_Proj_Visc_Flux[1]*val_Mean_PrimVar[1] +
val_Proj_Visc_Flux[2]*val_Mean_PrimVar[2] +
val_Proj_Visc_Flux[3]*val_Mean_PrimVar[3];
val_Proj_Jac_Tensor_i[4][0] -= factor*proj_viscousflux_vel;
val_Proj_Jac_Tensor_j[4][0] -= factor*proj_viscousflux_vel;
val_Proj_Jac_Tensor_i[4][1] += factor*val_Proj_Visc_Flux[1];
val_Proj_Jac_Tensor_j[4][1] += factor*val_Proj_Visc_Flux[1];
val_Proj_Jac_Tensor_i[4][2] += factor*val_Proj_Visc_Flux[2];
val_Proj_Jac_Tensor_j[4][2] += factor*val_Proj_Visc_Flux[2];
val_Proj_Jac_Tensor_i[4][3] += factor*val_Proj_Visc_Flux[3];
val_Proj_Jac_Tensor_j[4][3] += factor*val_Proj_Visc_Flux[3];
}
}
CAvgGrad_Flow::CAvgGrad_Flow(unsigned short val_nDim,
unsigned short val_nVar,
bool val_correct_grad,
const CConfig* config)
: CAvgGrad_Base(val_nDim, val_nVar, val_nDim+3, val_correct_grad, config) { }
CNumerics::ResidualType<> CAvgGrad_Flow::ComputeResidual(const CConfig* config) {
implicit = (config->GetKind_TimeIntScheme() == EULER_IMPLICIT);
AD::StartPreacc();
AD::SetPreaccIn(V_i, nDim+9); AD::SetPreaccIn(V_j, nDim+9);
AD::SetPreaccIn(Coord_i, nDim); AD::SetPreaccIn(Coord_j, nDim);
AD::SetPreaccIn(PrimVar_Grad_i, nDim+1, nDim);
AD::SetPreaccIn(PrimVar_Grad_j, nDim+1, nDim);
AD::SetPreaccIn(turb_ke_i); AD::SetPreaccIn(turb_ke_j);
AD::SetPreaccIn(TauWall_i); AD::SetPreaccIn(TauWall_j);
AD::SetPreaccIn(Normal, nDim);
unsigned short iVar, jVar, iDim;
/*--- Normalized normal vector ---*/
Area = GeometryToolbox::Norm(nDim, Normal);
for (iDim = 0; iDim < nDim; iDim++)
UnitNormal[iDim] = Normal[iDim]/Area;
PrimVar_i = V_i;
PrimVar_j = V_j;
for (iVar = 0; iVar < nPrimVar; iVar++) {
Mean_PrimVar[iVar] = 0.5*(PrimVar_i[iVar]+PrimVar_j[iVar]);
}
/*--- Compute vector going from iPoint to jPoint ---*/
dist_ij_2 = 0.0;
for (iDim = 0; iDim < nDim; iDim++) {
Edge_Vector[iDim] = Coord_j[iDim]-Coord_i[iDim];
dist_ij_2 += Edge_Vector[iDim]*Edge_Vector[iDim];
}
/*--- Laminar and Eddy viscosity ---*/
Laminar_Viscosity_i = V_i[nDim+5]; Laminar_Viscosity_j = V_j[nDim+5];
Eddy_Viscosity_i = V_i[nDim+6]; Eddy_Viscosity_j = V_j[nDim+6];
Thermal_Conductivity_i = V_i[nDim+7]; Thermal_Conductivity_j = V_j[nDim+7];
Cp_i = V_i[nDim + 8]; Cp_j = V_j[nDim + 8];
/*--- Mean Viscosities and turbulent kinetic energy---*/
Mean_Laminar_Viscosity = 0.5*(Laminar_Viscosity_i + Laminar_Viscosity_j);
Mean_Eddy_Viscosity = 0.5*(Eddy_Viscosity_i + Eddy_Viscosity_j);
Mean_Thermal_Conductivity = 0.5*(Thermal_Conductivity_i + Thermal_Conductivity_j);
Mean_turb_ke = 0.5*(turb_ke_i + turb_ke_j);
Mean_Cp = 0.5 * (Cp_i + Cp_j);
/*--- Mean gradient approximation ---*/
for (iVar = 0; iVar < nDim+1; iVar++) {
for (iDim = 0; iDim < nDim; iDim++) {
Mean_GradPrimVar[iVar][iDim] = 0.5*(PrimVar_Grad_i[iVar][iDim] + PrimVar_Grad_j[iVar][iDim]);
}
}
/*--- Projection of the mean gradient in the direction of the edge ---*/
if (correct_gradient && dist_ij_2 != 0.0) {
CorrectGradient(Mean_GradPrimVar, PrimVar_i, PrimVar_j, Edge_Vector,
dist_ij_2, nDim+1);
}
/*--- Wall shear stress values (wall functions) only used if present for one but not both points (xor) ---*/
const int scale = (TauWall_i > 0.0) ^ (TauWall_j > 0.0);
Mean_TauWall = (max(TauWall_i,0.0) + max(TauWall_j,0.0)) * scale;
/*--- If using UQ methodology, set Reynolds Stress tensor and perform perturbation ---*/
if (sstParsedOptions.uq) {
ComputePerturbedRSM(nDim, Eig_Val_Comp, uq_permute, uq_delta_b, uq_urlx,
Mean_GradPrimVar+1, Mean_PrimVar[nDim+2], Mean_Eddy_Viscosity,
Mean_turb_ke, MeanPerturbedRSM);
}
/*--- Get projected flux tensor (viscous residual) ---*/
SetStressTensor(Mean_PrimVar, Mean_GradPrimVar, Mean_turb_ke,
Mean_Laminar_Viscosity, Mean_Eddy_Viscosity);
if (config->GetSAParsedOptions().qcr2000) AddQCR(nDim, &Mean_GradPrimVar[1], tau);
if (Mean_TauWall > 0) AddTauWall(UnitNormal, Mean_TauWall);
SetHeatFluxVector(Mean_GradPrimVar, Mean_Eddy_Viscosity, Mean_Thermal_Conductivity, Mean_Cp);
GetViscousProjFlux(Mean_PrimVar, Normal);
/*--- Compute the implicit part ---*/
if (implicit) {
if (dist_ij_2 == 0.0) {
for (iVar = 0; iVar < nVar; iVar++) {
for (jVar = 0; jVar < nVar; jVar++) {
Jacobian_i[iVar][jVar] = 0.0;
Jacobian_j[iVar][jVar] = 0.0;
}
}
} else {
const su2double dist_ij = sqrt(dist_ij_2);
SetTauJacobian(Mean_PrimVar, Mean_Laminar_Viscosity, Mean_Eddy_Viscosity, dist_ij, UnitNormal);
SetHeatFluxJacobian(Mean_PrimVar, Mean_Cp, Mean_Thermal_Conductivity, Mean_Eddy_Viscosity, dist_ij, UnitNormal);
GetViscousProjJacs(Mean_PrimVar, Area, Proj_Flux_Tensor, Jacobian_i, Jacobian_j);
}
}
AD::SetPreaccOut(Proj_Flux_Tensor, nVar);
AD::EndPreacc();
return ResidualType<>(Proj_Flux_Tensor, Jacobian_i, Jacobian_j);
}
void CAvgGrad_Flow::SetHeatFluxJacobian(const su2double *val_Mean_PrimVar,
const su2double val_heat_capacity_cp,
const su2double val_thermal_conductivity,
const su2double val_eddy_viscosity,
const su2double val_dist_ij,
const su2double *val_normal) {
su2double sqvel = 0.0;
for (unsigned short iDim = 0; iDim < nDim; iDim++) {
sqvel += val_Mean_PrimVar[iDim+1]*val_Mean_PrimVar[iDim+1];
}
const su2double Density = val_Mean_PrimVar[nDim+2];
const su2double Pressure = val_Mean_PrimVar[nDim+1];
const su2double phi = Gamma_Minus_One/Density;
/*--- R times partial derivatives of temp. ---*/
const su2double R_dTdu0 = -Pressure/(Density*Density) + 0.5*sqvel*phi;
const su2double R_dTdu1 = -phi*val_Mean_PrimVar[1];
const su2double R_dTdu2 = -phi*val_Mean_PrimVar[2];
const su2double heat_flux_factor = val_thermal_conductivity/val_heat_capacity_cp + val_eddy_viscosity/Prandtl_Turb;
const su2double cpoR = Gamma/Gamma_Minus_One; // cp over R
const su2double conductivity_over_Rd = cpoR*heat_flux_factor/val_dist_ij;
heat_flux_jac_i[0] = conductivity_over_Rd * R_dTdu0;
heat_flux_jac_i[1] = conductivity_over_Rd * R_dTdu1;
heat_flux_jac_i[2] = conductivity_over_Rd * R_dTdu2;
if (nDim == 2) {
const su2double R_dTdu3 = phi;
heat_flux_jac_i[3] = conductivity_over_Rd * R_dTdu3;
} else {
const su2double R_dTdu3 = -phi*val_Mean_PrimVar[3];
const su2double R_dTdu4 = phi;
heat_flux_jac_i[3] = conductivity_over_Rd * R_dTdu3;
heat_flux_jac_i[4] = conductivity_over_Rd * R_dTdu4;
}
}
CAvgGradInc_Flow::CAvgGradInc_Flow(unsigned short val_nDim,
unsigned short val_nVar,
bool val_correct_grad, const CConfig* config)
: CAvgGrad_Base(val_nDim, val_nVar, val_nDim+3, val_correct_grad, config) {
energy = config->GetEnergy_Equation();
}
CNumerics::ResidualType<> CAvgGradInc_Flow::ComputeResidual(const CConfig* config) {
implicit = (config->GetKind_TimeIntScheme() == EULER_IMPLICIT);
AD::StartPreacc();
AD::SetPreaccIn(V_i, nDim+9); AD::SetPreaccIn(V_j, nDim+9);
AD::SetPreaccIn(Coord_i, nDim); AD::SetPreaccIn(Coord_j, nDim);
AD::SetPreaccIn(PrimVar_Grad_i, nVar, nDim);
AD::SetPreaccIn(PrimVar_Grad_j, nVar, nDim);
AD::SetPreaccIn(turb_ke_i); AD::SetPreaccIn(turb_ke_j);
AD::SetPreaccIn(TauWall_i); AD::SetPreaccIn(TauWall_j);
AD::SetPreaccIn(Normal, nDim);
if (energy_multicomponent) {
AD::SetPreaccIn(HeatFluxDiffusion);
}
unsigned short iVar, jVar, iDim;
/*--- Normalized normal vector ---*/
Area = GeometryToolbox::Norm(nDim, Normal);
for (iDim = 0; iDim < nDim; iDim++)
UnitNormal[iDim] = Normal[iDim]/Area;
PrimVar_i = V_i;
PrimVar_j = V_j;
for (iVar = 0; iVar < nPrimVar; iVar++) {
Mean_PrimVar[iVar] = 0.5*(PrimVar_i[iVar]+PrimVar_j[iVar]);
}
/*--- Compute vector going from iPoint to jPoint ---*/
dist_ij_2 = 0.0;
for (iDim = 0; iDim < nDim; iDim++) {
Edge_Vector[iDim] = Coord_j[iDim]-Coord_i[iDim];
dist_ij_2 += Edge_Vector[iDim]*Edge_Vector[iDim];
}
/*--- Density and transport properties ---*/
Laminar_Viscosity_i = V_i[nDim+5]; Laminar_Viscosity_j = V_j[nDim+5];
Eddy_Viscosity_i = V_i[nDim+6]; Eddy_Viscosity_j = V_j[nDim+6];
Thermal_Conductivity_i = V_i[nDim+7]; Thermal_Conductivity_j = V_j[nDim+7];
/*--- Mean transport properties ---*/
Mean_Laminar_Viscosity = 0.5*(Laminar_Viscosity_i + Laminar_Viscosity_j);
Mean_Eddy_Viscosity = 0.5*(Eddy_Viscosity_i + Eddy_Viscosity_j);
Mean_turb_ke = 0.5*(turb_ke_i + turb_ke_j);
Mean_Thermal_Conductivity = 0.5*(Thermal_Conductivity_i + Thermal_Conductivity_j);
/*--- Mean gradient approximation ---*/
for (iVar = 0; iVar < nVar; iVar++)
for (iDim = 0; iDim < nDim; iDim++)
Mean_GradPrimVar[iVar][iDim] = 0.5*(PrimVar_Grad_i[iVar][iDim] + PrimVar_Grad_j[iVar][iDim]);
/*--- Projection of the mean gradient in the direction of the edge ---*/
if (correct_gradient && dist_ij_2 != 0.0) {
CorrectGradient(Mean_GradPrimVar, PrimVar_i, PrimVar_j, Edge_Vector,
dist_ij_2, nVar);
}
/*--- Wall shear stress values (wall functions) only used if present for one but not both points (xor) ---*/
const int scale = (TauWall_i > 0.0) ^ (TauWall_j > 0.0);
Mean_TauWall = (max(TauWall_i,0.0) + max(TauWall_j,0.0)) * scale;
/*--- If using UQ methodology, set Reynolds Stress tensor and perform perturbation ---*/
if (sstParsedOptions.uq) {
ComputePerturbedRSM(nDim, Eig_Val_Comp, uq_permute, uq_delta_b, uq_urlx,
Mean_GradPrimVar+1, Mean_PrimVar[nDim+2], Mean_Eddy_Viscosity,
Mean_turb_ke, MeanPerturbedRSM);
}
/*--- Get projected flux tensor (viscous residual) ---*/
SetStressTensor(Mean_PrimVar, Mean_GradPrimVar, Mean_turb_ke,
Mean_Laminar_Viscosity, Mean_Eddy_Viscosity);
if (config->GetSAParsedOptions().qcr2000) AddQCR(nDim, &Mean_GradPrimVar[1], tau);
if (Mean_TauWall > 0) AddTauWall(UnitNormal, Mean_TauWall);
GetViscousIncProjFlux(Mean_GradPrimVar, Normal, Mean_Thermal_Conductivity);
if (energy_multicomponent) {
Proj_Flux_Tensor[nVar - 1] += HeatFluxDiffusion;
}
/*--- Implicit part ---*/
if (implicit) {
if (dist_ij_2 == 0.0) {
for (iVar = 0; iVar < nVar; iVar++) {
for (jVar = 0; jVar < nVar; jVar++) {
Jacobian_i[iVar][jVar] = 0.0;
Jacobian_j[iVar][jVar] = 0.0;
}
}
} else {
const su2double dist_ij = sqrt(dist_ij_2);
SetIncTauJacobian(Mean_Laminar_Viscosity, Mean_Eddy_Viscosity, dist_ij, UnitNormal);
GetViscousIncProjJacs(Area, Jacobian_i, Jacobian_j);
/*--- Include the temperature equation Jacobian. ---*/
su2double proj_vector_ij = 0.0;
for (iDim = 0; iDim < nDim; iDim++) {
proj_vector_ij += (Coord_j[iDim]-Coord_i[iDim])*Normal[iDim];
}
proj_vector_ij = proj_vector_ij/dist_ij_2;
Mean_Cp = 0.5 * (V_i[nDim + 8] + V_j[nDim + 8]);
Jacobian_i[nDim + 1][nDim + 1] = -Mean_Thermal_Conductivity * proj_vector_ij / Mean_Cp;
Jacobian_j[nDim + 1][nDim + 1] = Mean_Thermal_Conductivity * proj_vector_ij / Mean_Cp;
if (energy_multicomponent){
Jacobian_i[nDim + 1][nDim + 1] -= JacHeatFluxDiffusion / Mean_Cp;
Jacobian_j[nDim + 1][nDim + 1] += JacHeatFluxDiffusion / Mean_Cp;
}
}
}
if (!energy) {
Proj_Flux_Tensor[nDim+1] = 0.0;
if (implicit) {
for (iVar = 0; iVar < nVar; iVar++) {
Jacobian_i[iVar][nDim+1] = 0.0;
Jacobian_j[iVar][nDim+1] = 0.0;
Jacobian_i[nDim+1][iVar] = 0.0;
Jacobian_j[nDim+1][iVar] = 0.0;
}
}
}
AD::SetPreaccOut(Proj_Flux_Tensor, nVar);
AD::EndPreacc();
return ResidualType<>(Proj_Flux_Tensor, Jacobian_i, Jacobian_j);
}
void CAvgGradInc_Flow::GetViscousIncProjFlux(const su2double* const *val_gradprimvar,
const su2double *val_normal,
su2double val_thermal_conductivity) {
/*--- Gradient of primitive variables -> [Pressure vel_x vel_y vel_z Temperature] ---*/
su2double Flux_Tensor[5][3];
if (nDim == 2) {
Flux_Tensor[0][0] = 0.0;
Flux_Tensor[1][0] = tau[0][0];
Flux_Tensor[2][0] = tau[0][1];
Flux_Tensor[3][0] = val_thermal_conductivity*val_gradprimvar[nDim+1][0];
Flux_Tensor[0][1] = 0.0;
Flux_Tensor[1][1] = tau[1][0];
Flux_Tensor[2][1] = tau[1][1];
Flux_Tensor[3][1] = val_thermal_conductivity*val_gradprimvar[nDim+1][1];
} else {
Flux_Tensor[0][0] = 0.0;
Flux_Tensor[1][0] = tau[0][0];
Flux_Tensor[2][0] = tau[0][1];
Flux_Tensor[3][0] = tau[0][2];
Flux_Tensor[4][0] = val_thermal_conductivity*val_gradprimvar[nDim+1][0];
Flux_Tensor[0][1] = 0.0;
Flux_Tensor[1][1] = tau[1][0];
Flux_Tensor[2][1] = tau[1][1];
Flux_Tensor[3][1] = tau[1][2];
Flux_Tensor[4][1] = val_thermal_conductivity*val_gradprimvar[nDim+1][1];
Flux_Tensor[0][2] = 0.0;
Flux_Tensor[1][2] = tau[2][0];
Flux_Tensor[2][2] = tau[2][1];
Flux_Tensor[3][2] = tau[2][2];
Flux_Tensor[4][2] = val_thermal_conductivity*val_gradprimvar[nDim+1][2];
}
for (unsigned short iVar = 0; iVar < nVar; iVar++) {
Proj_Flux_Tensor[iVar] = 0.0;
for (unsigned short iDim = 0; iDim < nDim; iDim++)
Proj_Flux_Tensor[iVar] += Flux_Tensor[iVar][iDim] * val_normal[iDim];
}
}
void CAvgGradInc_Flow::GetViscousIncProjJacs(su2double val_dS,
su2double **val_Proj_Jac_Tensor_i,
su2double **val_Proj_Jac_Tensor_j) {
if (nDim == 2) {
val_Proj_Jac_Tensor_i[0][0] = 0.0;
val_Proj_Jac_Tensor_i[0][1] = 0.0;
val_Proj_Jac_Tensor_i[0][2] = 0.0;
val_Proj_Jac_Tensor_i[0][3] = 0.0;
val_Proj_Jac_Tensor_i[1][0] = val_dS*tau_jacobian_i[0][0];
val_Proj_Jac_Tensor_i[1][1] = val_dS*tau_jacobian_i[0][1];
val_Proj_Jac_Tensor_i[1][2] = val_dS*tau_jacobian_i[0][2];
val_Proj_Jac_Tensor_i[1][3] = val_dS*tau_jacobian_i[0][3];
val_Proj_Jac_Tensor_i[2][0] = val_dS*tau_jacobian_i[1][0];
val_Proj_Jac_Tensor_i[2][1] = val_dS*tau_jacobian_i[1][1];
val_Proj_Jac_Tensor_i[2][2] = val_dS*tau_jacobian_i[1][2];
val_Proj_Jac_Tensor_i[2][3] = val_dS*tau_jacobian_i[1][3];
val_Proj_Jac_Tensor_i[3][0] = 0.0;
val_Proj_Jac_Tensor_i[3][1] = 0.0;
val_Proj_Jac_Tensor_i[3][2] = 0.0;
val_Proj_Jac_Tensor_i[3][3] = 0.0;
} else {
val_Proj_Jac_Tensor_i[0][0] = 0.0;
val_Proj_Jac_Tensor_i[0][1] = 0.0;
val_Proj_Jac_Tensor_i[0][2] = 0.0;
val_Proj_Jac_Tensor_i[0][3] = 0.0;
val_Proj_Jac_Tensor_i[0][4] = 0.0;
val_Proj_Jac_Tensor_i[1][0] = val_dS*tau_jacobian_i[0][0];
val_Proj_Jac_Tensor_i[1][1] = val_dS*tau_jacobian_i[0][1];
val_Proj_Jac_Tensor_i[1][2] = val_dS*tau_jacobian_i[0][2];
val_Proj_Jac_Tensor_i[1][3] = val_dS*tau_jacobian_i[0][3];
val_Proj_Jac_Tensor_i[1][4] = val_dS*tau_jacobian_i[0][4];
val_Proj_Jac_Tensor_i[2][0] = val_dS*tau_jacobian_i[1][0];
val_Proj_Jac_Tensor_i[2][1] = val_dS*tau_jacobian_i[1][1];
val_Proj_Jac_Tensor_i[2][2] = val_dS*tau_jacobian_i[1][2];
val_Proj_Jac_Tensor_i[2][3] = val_dS*tau_jacobian_i[1][3];
val_Proj_Jac_Tensor_i[2][4] = val_dS*tau_jacobian_i[1][4];
val_Proj_Jac_Tensor_i[3][0] = val_dS*tau_jacobian_i[2][0];
val_Proj_Jac_Tensor_i[3][1] = val_dS*tau_jacobian_i[2][1];
val_Proj_Jac_Tensor_i[3][2] = val_dS*tau_jacobian_i[2][2];
val_Proj_Jac_Tensor_i[3][3] = val_dS*tau_jacobian_i[2][3];
val_Proj_Jac_Tensor_i[3][4] = val_dS*tau_jacobian_i[2][4];
val_Proj_Jac_Tensor_i[4][0] = 0.0;
val_Proj_Jac_Tensor_i[4][1] = 0.0;
val_Proj_Jac_Tensor_i[4][2] = 0.0;
val_Proj_Jac_Tensor_i[4][3] = 0.0;
val_Proj_Jac_Tensor_i[4][4] = 0.0;
}
for (unsigned short iVar = 0; iVar < nVar; iVar++)
for (unsigned short jVar = 0; jVar < nVar; jVar++)
val_Proj_Jac_Tensor_j[iVar][jVar] = -val_Proj_Jac_Tensor_i[iVar][jVar];
}
CGeneralAvgGrad_Flow::CGeneralAvgGrad_Flow(unsigned short val_nDim,
unsigned short val_nVar,
bool val_correct_grad,
const CConfig* config)
: CAvgGrad_Base(val_nDim, val_nVar, val_nDim+4, val_correct_grad, config) { }
void CGeneralAvgGrad_Flow::SetHeatFluxJacobian(const su2double *val_Mean_PrimVar,
const su2double *val_Mean_SecVar,
const su2double val_eddy_viscosity,
const su2double val_thermal_conductivity,
const su2double val_heat_capacity_cp,
const su2double val_dist_ij) {
/* Viscous flux Jacobians for arbitrary equations of state */
//order of val_mean_primitives: T, vx, vy, vz, P, rho, ht
//order of secondary:dTdrho_e, dTde_rho
su2double sqvel = 0.0;
for (unsigned short iDim = 0; iDim < nDim; iDim++) {
sqvel += val_Mean_PrimVar[iDim+1]*val_Mean_PrimVar[iDim+1];
}
su2double rho = val_Mean_PrimVar[nDim+2];
su2double P= val_Mean_PrimVar[nDim+1];
su2double h= val_Mean_PrimVar[nDim+3];
su2double dTdrho_e= val_Mean_SecVar[0];
su2double dTde_rho= val_Mean_SecVar[1];
su2double dTdu0= dTdrho_e + dTde_rho*(-(h-P/rho) + sqvel)*(1/rho);
su2double dTdu1= dTde_rho*(-val_Mean_PrimVar[1])*(1/rho);
su2double dTdu2= dTde_rho*(-val_Mean_PrimVar[2])*(1/rho);
su2double total_conductivity = val_thermal_conductivity + val_heat_capacity_cp*val_eddy_viscosity/Prandtl_Turb;
su2double factor2 = total_conductivity/val_dist_ij;
heat_flux_jac_i[0] = factor2*dTdu0;
heat_flux_jac_i[1] = factor2*dTdu1;
heat_flux_jac_i[2] = factor2*dTdu2;
if (nDim == 2) {
su2double dTdu3= dTde_rho*(1/rho);
heat_flux_jac_i[3] = factor2*dTdu3;
} else {
su2double dTdu3= dTde_rho*(-val_Mean_PrimVar[3])*(1/rho);
su2double dTdu4= dTde_rho*(1/rho);
heat_flux_jac_i[3] = factor2*dTdu3;
heat_flux_jac_i[4] = factor2*dTdu4;
}
}
CNumerics::ResidualType<> CGeneralAvgGrad_Flow::ComputeResidual(const CConfig* config) {
implicit = (config->GetKind_TimeIntScheme() == EULER_IMPLICIT);
AD::StartPreacc();
AD::SetPreaccIn(V_i, nDim+9); AD::SetPreaccIn(V_j, nDim+9);
AD::SetPreaccIn(Coord_i, nDim); AD::SetPreaccIn(Coord_j, nDim);
AD::SetPreaccIn(S_i, 4); AD::SetPreaccIn(S_j, 4);
AD::SetPreaccIn(PrimVar_Grad_i, nDim+1, nDim);
AD::SetPreaccIn(PrimVar_Grad_j, nDim+1, nDim);
AD::SetPreaccIn(turb_ke_i); AD::SetPreaccIn(turb_ke_j);
AD::SetPreaccIn(TauWall_i); AD::SetPreaccIn(TauWall_j);
AD::SetPreaccIn(Normal, nDim);
unsigned short iVar, jVar, iDim;
/*--- Normalized normal vector ---*/
Area = GeometryToolbox::Norm(nDim, Normal);
for (iDim = 0; iDim < nDim; iDim++)
UnitNormal[iDim] = Normal[iDim]/Area;
/*--- Mean primitive variables ---*/
PrimVar_i = V_i;
PrimVar_j = V_j;
for (iVar = 0; iVar < nPrimVar; iVar++) {
Mean_PrimVar[iVar] = 0.5*(PrimVar_i[iVar]+PrimVar_j[iVar]);
}
/*--- Compute vector going from iPoint to jPoint ---*/
dist_ij_2 = 0.0;
for (iDim = 0; iDim < nDim; iDim++) {
Edge_Vector[iDim] = Coord_j[iDim]-Coord_i[iDim];
dist_ij_2 += Edge_Vector[iDim]*Edge_Vector[iDim];
}
/*--- Laminar and Eddy viscosity ---*/
Laminar_Viscosity_i = V_i[nDim+5]; Laminar_Viscosity_j = V_j[nDim+5];
Eddy_Viscosity_i = V_i[nDim+6]; Eddy_Viscosity_j = V_j[nDim+6];
Thermal_Conductivity_i = V_i[nDim+7]; Thermal_Conductivity_j = V_j[nDim+7];
Cp_i = V_i[nDim+8]; Cp_j = V_j[nDim+8];
/*--- Mean secondary variables ---*/
for (iVar = 0; iVar < 2; iVar++) {
Mean_SecVar[iVar] = 0.5*(S_i[iVar+2]+S_j[iVar+2]);
}
/*--- Mean Viscosities and turbulent kinetic energy---*/
Mean_Laminar_Viscosity = 0.5*(Laminar_Viscosity_i + Laminar_Viscosity_j);
Mean_Eddy_Viscosity = 0.5*(Eddy_Viscosity_i + Eddy_Viscosity_j);
Mean_turb_ke = 0.5*(turb_ke_i + turb_ke_j);
Mean_Thermal_Conductivity = 0.5*(Thermal_Conductivity_i + Thermal_Conductivity_j);
Mean_Cp = 0.5*(Cp_i + Cp_j);
/*--- Mean gradient approximation ---*/
for (iVar = 0; iVar < nDim+1; iVar++) {
for (iDim = 0; iDim < nDim; iDim++) {
Mean_GradPrimVar[iVar][iDim] = 0.5*(PrimVar_Grad_i[iVar][iDim] + PrimVar_Grad_j[iVar][iDim]);
}
}
/*--- Projection of the mean gradient in the direction of the edge ---*/
if (correct_gradient && dist_ij_2 != 0.0) {
CorrectGradient(Mean_GradPrimVar, PrimVar_i, PrimVar_j, Edge_Vector,
dist_ij_2, nDim+1);
}
/*--- Wall shear stress values (wall functions) only used if present for one but not both points (xor) ---*/
const int scale = (TauWall_i > 0.0) ^ (TauWall_j > 0.0);
Mean_TauWall = (max(TauWall_i,0.0) + max(TauWall_j,0.0)) * scale;
/*--- If using UQ methodology, set Reynolds Stress tensor and perform perturbation ---*/
if (sstParsedOptions.uq) {
ComputePerturbedRSM(nDim, Eig_Val_Comp, uq_permute, uq_delta_b, uq_urlx,
Mean_GradPrimVar+1, Mean_PrimVar[nDim+2], Mean_Eddy_Viscosity,
Mean_turb_ke, MeanPerturbedRSM);
}
/*--- Get projected flux tensor (viscous residual) ---*/
SetStressTensor(Mean_PrimVar, Mean_GradPrimVar, Mean_turb_ke,
Mean_Laminar_Viscosity, Mean_Eddy_Viscosity);
if (config->GetSAParsedOptions().qcr2000) AddQCR(nDim, &Mean_GradPrimVar[1], tau);
if (Mean_TauWall > 0) AddTauWall(UnitNormal, Mean_TauWall);
SetHeatFluxVector(Mean_GradPrimVar, Mean_Eddy_Viscosity, Mean_Thermal_Conductivity, Mean_Cp);
GetViscousProjFlux(Mean_PrimVar, Normal);
/*--- Compute the implicit part ---*/
if (implicit) {
if (dist_ij_2 == 0.0) {
for (iVar = 0; iVar < nVar; iVar++) {
for (jVar = 0; jVar < nVar; jVar++) {
Jacobian_i[iVar][jVar] = 0.0;
Jacobian_j[iVar][jVar] = 0.0;
}
}
} else {
const su2double dist_ij = sqrt(dist_ij_2);
SetTauJacobian(Mean_PrimVar, Mean_Laminar_Viscosity, Mean_Eddy_Viscosity, dist_ij, UnitNormal);
SetHeatFluxJacobian(Mean_PrimVar, Mean_SecVar, Mean_Eddy_Viscosity,
Mean_Thermal_Conductivity, Mean_Cp, dist_ij);
GetViscousProjJacs(Mean_PrimVar, Area, Proj_Flux_Tensor, Jacobian_i, Jacobian_j);
}
}
AD::SetPreaccOut(Proj_Flux_Tensor, nVar);
AD::EndPreacc();
return ResidualType<>(Proj_Flux_Tensor, Jacobian_i, Jacobian_j);
}