void CSysSolve::MultiGrid_LinSolver(CSysMatrix **Jacobian, CSysVector **LinSysRes, CSysVector **LinSysSol, CMatrixVectorProduct & mat_vec, CGeometry **geometry, CConfig *config, unsigned short iMesh, unsigned short mu, double tol, unsigned long m, bool monitoring) {
CSysVector A_x(*LinSysRes[iMesh]);
CSysVector ResAux(*LinSysRes[iMesh]);
CSysVector SolAux(*LinSysSol[iMesh]);
unsigned short Smoother = config->GetKind_Linear_Solver_Prec();
/*--- Smooth the solution in the fine grid Jac_h Sol_h = Res_h, because
the implementation (assumes that the initial guess is 0)... it is only possible
to perform one smoothing ---*/
switch (Smoother) {
case LU_SGS:
Jacobian[iMesh]->ComputeLU_SGSPreconditioner(*LinSysRes[iMesh], *LinSysSol[iMesh], geometry[iMesh], config);
break;
case JACOBI:
Jacobian[iMesh]->BuildJacobiPreconditioner();
Jacobian[iMesh]->ComputeJacobiPreconditioner(*LinSysRes[iMesh], *LinSysSol[iMesh], geometry[iMesh], config);
break;
case ILU:
Jacobian[iMesh]->BuildILUPreconditioner();
Jacobian[iMesh]->ComputeILUPreconditioner(*LinSysRes[iMesh], *LinSysSol[iMesh], geometry[iMesh], config);
break;
case LINELET:
Jacobian[iMesh]->BuildJacobiPreconditioner();
Jacobian[iMesh]->ComputeLineletPreconditioner(*LinSysRes[iMesh], *LinSysSol[iMesh], geometry[iMesh], config);
break;
}
if (iMesh < config->GetMGLevels()) {
/*--- Compute the residual in the finesh grid ResAux_h = Jac_h.Sol_h - Res_h ---*/
Jacobian[iMesh]->MatrixVectorProduct(*LinSysSol[iMesh], A_x, geometry[iMesh], config);
ResAux -= A_x;
/*--- Restrict the residual to the coarse grid Res_H = I^H_h.ResAux_h ---*/
SetRestricted_Residual(&ResAux, LinSysRes[iMesh+1], geometry[iMesh+1], config);
/*--- Recursive call to MultiGrid_Cycle ---*/
for (unsigned short imu = 0; imu <= mu; imu++) {
if (iMesh == config->GetMGLevels()-2)
MultiGrid_LinSolver(Jacobian, LinSysRes, LinSysSol, mat_vec, geometry, config, iMesh+1, 0, tol, m, monitoring);
else MultiGrid_LinSolver(Jacobian, LinSysRes, LinSysSol, mat_vec, geometry, config, iMesh+1, mu, tol, m, monitoring);
}
/*--- Prolongate solution to the fine grid solution SolAux_h = I^h_H.Sol_H ---*/
SetProlongated_Solution(&SolAux, LinSysSol[iMesh+1], geometry[iMesh+1], config);
/*--- Update the fine grid solution Sol_h += SolAux_h ---*/
*LinSysSol[iMesh] += config->GetDamp_Correc_Prolong()*SolAux;
}
}
void CMultiGridIntegration::MultiGrid_Iteration(CGeometry ***geometry,
CSolver ****solver_container,
CNumerics *****numerics_container,
CConfig **config,
unsigned short RunTime_EqSystem,
unsigned long Iteration,
unsigned short iZone) {
unsigned short FinestMesh, iMGLevel;
double monitor = 1.0;
const bool restart = (config[iZone]->GetRestart() || config[iZone]->GetRestart_Flow());
const bool startup_multigrid = ((config[iZone]->GetRestart_Flow()) &&
(RunTime_EqSystem == RUNTIME_FLOW_SYS) &&
(Iteration == 0));
const bool direct = ((config[iZone]->GetKind_Solver() == EULER) ||
(config[iZone]->GetKind_Solver() == NAVIER_STOKES) ||
(config[iZone]->GetKind_Solver() == RANS) ||
(config[iZone]->GetKind_Solver() == TNE2_EULER) ||
(config[iZone]->GetKind_Solver() == TNE2_NAVIER_STOKES) ||
(config[iZone]->GetKind_Solver() == FLUID_STRUCTURE_EULER) ||
(config[iZone]->GetKind_Solver() == FLUID_STRUCTURE_NAVIER_STOKES) ||
(config[iZone]->GetKind_Solver() == FLUID_STRUCTURE_RANS));
const unsigned short SolContainer_Position = config[iZone]->GetContainerPosition(RunTime_EqSystem);
/*--- If low fidelity simulation ---*/
if (config[iZone]->GetLowFidelitySim())
config[iZone]->SetFinestMesh(MESH_1);
/*--- If restart, update multigrid levels at the first multigrid iteration ---*/
if ((restart && (Iteration == config[iZone]->GetnStartUpIter())) || startup_multigrid) {
for (iMGLevel = 0; iMGLevel < config[iZone]->GetMGLevels(); iMGLevel++) {
SetRestricted_Solution(RunTime_EqSystem, solver_container[iZone][iMGLevel][SolContainer_Position],
solver_container[iZone][iMGLevel+1][SolContainer_Position],
geometry[iZone][iMGLevel], geometry[iZone][iMGLevel+1], config[iZone]);
}
}
/*--- Full multigrid strategy and start up with fine grid only works with the direct problem ---*/
if (!config[iZone]->GetRestart() && config[iZone]->GetFullMG() && direct && ( GetConvergence_FullMG() && (config[iZone]->GetFinestMesh() != MESH_0 ))) {
SetProlongated_Solution(RunTime_EqSystem, solver_container[iZone][config[iZone]->GetFinestMesh()-1][SolContainer_Position],
solver_container[iZone][config[iZone]->GetFinestMesh()][SolContainer_Position],
geometry[iZone][config[iZone]->GetFinestMesh()-1], geometry[iZone][config[iZone]->GetFinestMesh()],
config[iZone]);
config[iZone]->SubtractFinestMesh();
}
/*--- Set the current finest grid (full multigrid strategy) ---*/
FinestMesh = config[iZone]->GetFinestMesh();
/*--- Perform the Full Approximation Scheme multigrid ---*/
MultiGrid_Cycle(geometry, solver_container, numerics_container, config,
FinestMesh, config[iZone]->GetMGCycle(), RunTime_EqSystem,
Iteration, iZone);
/*--- Computes primitive variables and gradients in the finest mesh (useful for the next solver (turbulence) and output ---*/
solver_container[iZone][MESH_0][SolContainer_Position]->Preprocessing(geometry[iZone][MESH_0],
solver_container[iZone][MESH_0], config[iZone],
MESH_0, NO_RK_ITER, RunTime_EqSystem, true);
/*--- Compute non-dimensional parameters and the convergence monitor ---*/
NonDimensional_Parameters(geometry[iZone], solver_container[iZone],
numerics_container[iZone], config[iZone],
FinestMesh, RunTime_EqSystem, Iteration, &monitor);
/*--- Convergence strategy ---*/
Convergence_Monitoring(geometry[iZone][FinestMesh], config[iZone], Iteration, monitor);
}