Foam::SolverPerformance<Type>
Foam::PBiCCCG<Type, DType, LUType>::solve
(
Field<Type>& psi
) const
{
word preconditionerName(this->controlDict_.lookup("preconditioner"));
// --- Setup class containing solver performance data
SolverPerformance<Type> solverPerf
(
preconditionerName + typeName,
this->fieldName_
);
label nCells = psi.size();
Type* __restrict__ psiPtr = psi.begin();
Field<Type> pA(nCells);
Type* __restrict__ pAPtr = pA.begin();
Field<Type> pT(nCells, Zero);
Type* __restrict__ pTPtr = pT.begin();
Field<Type> wA(nCells);
Type* __restrict__ wAPtr = wA.begin();
Field<Type> wT(nCells);
Type* __restrict__ wTPtr = wT.begin();
scalar wArT = 1e15; //this->matrix_.great_;
scalar wArTold = wArT;
// --- Calculate A.psi and T.psi
this->matrix_.Amul(wA, psi);
this->matrix_.Tmul(wT, psi);
// --- Calculate initial residual and transpose residual fields
Field<Type> rA(this->matrix_.source() - wA);
Field<Type> rT(this->matrix_.source() - wT);
Type* __restrict__ rAPtr = rA.begin();
Type* __restrict__ rTPtr = rT.begin();
// --- Calculate normalisation factor
Type normFactor = this->normFactor(psi, wA, pA);
if (LduMatrix<Type, DType, LUType>::debug >= 2)
{
Info<< " Normalisation factor = " << normFactor << endl;
}
// --- Calculate normalised residual norm
solverPerf.initialResidual() = cmptDivide(gSumCmptMag(rA), normFactor);
solverPerf.finalResidual() = solverPerf.initialResidual();
// --- Check convergence, solve if not converged
if
(
this->minIter_ > 0
|| !solverPerf.checkConvergence(this->tolerance_, this->relTol_)
)
{
// --- Select and construct the preconditioner
autoPtr<typename LduMatrix<Type, DType, LUType>::preconditioner>
preconPtr = LduMatrix<Type, DType, LUType>::preconditioner::New
(
*this,
this->controlDict_
);
// --- Solver iteration
do
{
// --- Store previous wArT
wArTold = wArT;
// --- Precondition residuals
preconPtr->precondition(wA, rA);
preconPtr->preconditionT(wT, rT);
// --- Update search directions:
wArT = gSumProd(wA, rT);
if (solverPerf.nIterations() == 0)
{
for (label cell=0; cell<nCells; cell++)
{
pAPtr[cell] = wAPtr[cell];
pTPtr[cell] = wTPtr[cell];
}
}
else
{
scalar beta = wArT/wArTold;
for (label cell=0; cell<nCells; cell++)
{
pAPtr[cell] = wAPtr[cell] + (beta* pAPtr[cell]);
pTPtr[cell] = wTPtr[cell] + (beta* pTPtr[cell]);
}
}
// --- Update preconditioned residuals
this->matrix_.Amul(wA, pA);
this->matrix_.Tmul(wT, pT);
scalar wApT = gSumProd(wA, pT);
// --- Test for singularity
if
(
solverPerf.checkSingularity
(
cmptDivide(pTraits<Type>::one*mag(wApT), normFactor)
)
)
{
break;
}
// --- Update solution and residual:
scalar alpha = wArT/wApT;
for (label cell=0; cell<nCells; cell++)
{
psiPtr[cell] += (alpha* pAPtr[cell]);
rAPtr[cell] -= (alpha* wAPtr[cell]);
rTPtr[cell] -= (alpha* wTPtr[cell]);
}
solverPerf.finalResidual() =
cmptDivide(gSumCmptMag(rA), normFactor);
} while
(
(
solverPerf.nIterations()++ < this->maxIter_
&& !solverPerf.checkConvergence(this->tolerance_, this->relTol_)
)
|| solverPerf.nIterations() < this->minIter_
);
}
return solverPerf;
}
typename Foam::SolverPerformance<Type>
Foam::PCICG<Type, DType, LUType>::solve(Field<Type>& psi) const
{
word preconditionerName(this->controlDict_.lookup("preconditioner"));
// --- Setup class containing solver performance data
SolverPerformance<Type> solverPerf
(
preconditionerName + typeName,
this->fieldName_
);
label nCells = psi.size();
Type* __restrict__ psiPtr = psi.begin();
Field<Type> pA(nCells);
Type* __restrict__ pAPtr = pA.begin();
Field<Type> wA(nCells);
Type* __restrict__ wAPtr = wA.begin();
Type wArA = solverPerf.great_*pTraits<Type>::one;
Type wArAold = wArA;
// --- Calculate A.psi
this->matrix_.Amul(wA, psi);
// --- Calculate initial residual field
Field<Type> rA(this->matrix_.source() - wA);
Type* __restrict__ rAPtr = rA.begin();
// --- Calculate normalisation factor
Type normFactor = this->normFactor(psi, wA, pA);
if (LduMatrix<Type, DType, LUType>::debug >= 2)
{
Info<< " Normalisation factor = " << normFactor << endl;
}
// --- Calculate normalised residual norm
solverPerf.initialResidual() = cmptDivide(gSumCmptMag(rA), normFactor);
solverPerf.finalResidual() = solverPerf.initialResidual();
// --- Check convergence, solve if not converged
if
(
this->minIter_ > 0
|| !solverPerf.checkConvergence(this->tolerance_, this->relTol_)
)
{
// --- Select and construct the preconditioner
autoPtr<typename LduMatrix<Type, DType, LUType>::preconditioner>
preconPtr = LduMatrix<Type, DType, LUType>::preconditioner::New
(
*this,
this->controlDict_
);
// --- Solver iteration
do
{
// --- Store previous wArA
wArAold = wArA;
// --- Precondition residual
preconPtr->precondition(wA, rA);
// --- Update search directions:
wArA = gSumCmptProd(wA, rA);
if (solverPerf.nIterations() == 0)
{
for (label cell=0; cell<nCells; cell++)
{
pAPtr[cell] = wAPtr[cell];
}
}
else
{
Type beta = cmptDivide
(
wArA,
stabilise(wArAold, solverPerf.vsmall_)
);
for (label cell=0; cell<nCells; cell++)
{
pAPtr[cell] = wAPtr[cell] + cmptMultiply(beta, pAPtr[cell]);
}
}
// --- Update preconditioned residual
this->matrix_.Amul(wA, pA);
Type wApA = gSumCmptProd(wA, pA);
// --- Test for singularity
if
(
solverPerf.checkSingularity
(
cmptDivide(cmptMag(wApA), normFactor)
)
)
{
break;
}
// --- Update solution and residual:
Type alpha = cmptDivide
(
wArA,
stabilise(wApA, solverPerf.vsmall_)
);
for (label cell=0; cell<nCells; cell++)
{
psiPtr[cell] += cmptMultiply(alpha, pAPtr[cell]);
rAPtr[cell] -= cmptMultiply(alpha, wAPtr[cell]);
}
solverPerf.finalResidual() =
cmptDivide(gSumCmptMag(rA), normFactor);
} while
(
(
solverPerf.nIterations()++ < this->maxIter_
&& !solverPerf.checkConvergence(this->tolerance_, this->relTol_)
)
|| solverPerf.nIterations() < this->minIter_
);
}
return solverPerf;
}
Foam::SolverPerformance<Type>
Foam::PBiCCCG<Type, DType, LUType>::solve
(
gpuField<Type>& psi
) const
{
word preconditionerName(this->controlDict_.lookup("preconditioner"));
// --- Setup class containing solver performance data
SolverPerformance<Type> solverPerf
(
preconditionerName + typeName,
this->fieldName_
);
register label nCells = psi.size();
gpuField<Type> pA(nCells);
gpuField<Type> pT(nCells, pTraits<Type>::zero);
gpuField<Type> wA(nCells);
gpuField<Type> wT(nCells);
scalar wArT = 1e15; //this->matrix_.great_;
scalar wArTold = wArT;
// --- Calculate A.psi and T.psi
this->matrix_.Amul(wA, psi);
this->matrix_.Tmul(wT, psi);
// --- Calculate initial residual and transpose residual fields
gpuField<Type> rA(this->matrix_.source() - wA);
gpuField<Type> rT(this->matrix_.source() - wT);
// --- Calculate normalisation factor
Type normFactor = this->normFactor(psi, wA, pA);
if (LduMatrix<Type, DType, LUType>::debug >= 2)
{
Info<< " Normalisation factor = " << normFactor << endl;
}
// --- Calculate normalised residual norm
solverPerf.initialResidual() = cmptDivide(gSumCmptMag(rA), normFactor);
solverPerf.finalResidual() = solverPerf.initialResidual();
// --- Check convergence, solve if not converged
if
(
this->minIter_ > 0
|| !solverPerf.checkConvergence(this->tolerance_, this->relTol_)
)
{
// --- Select and construct the preconditioner
autoPtr<typename LduMatrix<Type, DType, LUType>::preconditioner>
preconPtr = LduMatrix<Type, DType, LUType>::preconditioner::New
(
*this,
this->controlDict_
);
// --- Solver iteration
do
{
// --- Store previous wArT
wArTold = wArT;
// --- Precondition residuals
preconPtr->precondition(wA, rA);
preconPtr->preconditionT(wT, rT);
// --- Update search directions:
wArT = gSumProd(wA, rT);
if (solverPerf.nIterations() == 0)
{
thrust::copy(wA.begin(),wA.end(),pA.begin());
thrust::copy(wT.begin(),wT.end(),pT.begin());
}
else
{
scalar beta = wArT/wArTold;
thrust::transform
(
wA.begin(),
wA.end(),
thrust::make_transform_iterator
(
pA.begin(),
multiplyOperatorSFFunctor<scalar,Type,Type>(beta)
),
pA.begin(),
addOperatorFunctor<Type,Type,Type>()
);
thrust::transform
(
wT.begin(),
wT.end(),
thrust::make_transform_iterator
(
pT.begin(),
multiplyOperatorSFFunctor<scalar,Type,Type>(beta)
),
pT.begin(),
addOperatorFunctor<Type,Type,Type>()
);
}
// --- Update preconditioned residuals
this->matrix_.Amul(wA, pA);
this->matrix_.Tmul(wT, pT);
scalar wApT = gSumProd(wA, pT);
// --- Test for singularity
if
(
solverPerf.checkSingularity
(
cmptDivide(pTraits<Type>::one*mag(wApT), normFactor)
)
)
{
break;
}
// --- Update solution and residual:
scalar alpha = wArT/wApT;
thrust::transform
(
psi.begin(),
psi.end(),
thrust::make_transform_iterator
(
pA.begin(),
multiplyOperatorSFFunctor<scalar,Type,Type>(alpha)
),
psi.begin(),
addOperatorFunctor<Type,Type,Type>()
);
thrust::transform
(
rA.begin(),
rA.end(),
thrust::make_transform_iterator
(
wA.begin(),
multiplyOperatorSFFunctor<scalar,Type,Type>(alpha)
),
rA.begin(),
subtractOperatorFunctor<Type,Type,Type>()
);
thrust::transform
(
rT.begin(),
rT.end(),
thrust::make_transform_iterator
(
wT.begin(),
multiplyOperatorSFFunctor<scalar,Type,Type>(alpha)
),
rT.begin(),
subtractOperatorFunctor<Type,Type,Type>()
);
solverPerf.finalResidual() =
cmptDivide(gSumCmptMag(rA), normFactor);
} while
(
(
solverPerf.nIterations()++ < this->maxIter_
&& !solverPerf.checkConvergence(this->tolerance_, this->relTol_)
)
|| solverPerf.nIterations() < this->minIter_
);
}
return solverPerf;
}
