arma::Mat<ResultType>
ElementaryPotentialOperator<BasisFunctionType, KernelType, ResultType>::
evaluateAtPoints(
const GridFunction<BasisFunctionType, ResultType> &argument,
const arma::Mat<CoordinateType> &evaluationPoints,
const QuadratureStrategy &quadStrategy,
const EvaluationOptions &options) const {
if (evaluationPoints.n_rows != argument.grid()->dimWorld())
throw std::invalid_argument(
"ElementaryPotentialOperator::evaluateAtPoints(): "
"the number of coordinates of each evaluation point must be "
"equal to the dimension of the space containing the surface "
"on which the grid function 'argument' is defined");
if (options.evaluationMode() == EvaluationOptions::DENSE) {
std::unique_ptr<Evaluator> evaluator =
makeEvaluator(argument, quadStrategy, options);
// right now we don't bother about far and near field
// (this might depend on evaluation options)
arma::Mat<ResultType> result;
evaluator->evaluate(Evaluator::FAR_FIELD, evaluationPoints, result);
return result;
} else if (options.evaluationMode() == EvaluationOptions::ACA) {
AssembledPotentialOperator<BasisFunctionType, ResultType> assembledOp =
assemble(argument.space(), make_shared_from_ref(evaluationPoints),
quadStrategy, options);
return assembledOp.apply(argument);
} else
throw std::invalid_argument(
"ElementaryPotentialOperator::evaluateAtPoints(): "
"Invalid evaluation mode");
}
void ParGridFunction::ComputeFlux(
BilinearFormIntegrator &blfi,
GridFunction &flux, int wcoef, int subdomain)
{
ParFiniteElementSpace *ffes =
dynamic_cast<ParFiniteElementSpace*>(flux.FESpace());
MFEM_VERIFY(ffes, "the flux FE space must be ParFiniteElementSpace");
Array<int> count(flux.Size());
SumFluxAndCount(blfi, flux, count, wcoef, subdomain);
// Accumulate flux and counts in parallel
ffes->GroupComm().Reduce<double>(flux, GroupCommunicator::Sum);
ffes->GroupComm().Bcast<double>(flux);
ffes->GroupComm().Reduce<int>(count, GroupCommunicator::Sum);
ffes->GroupComm().Bcast<int>(count);
// complete averaging
for (int i = 0; i < count.Size(); i++)
{
if (count[i] != 0) { flux(i) /= count[i]; }
}
if (ffes->Nonconforming())
{
// On a partially conforming flux space, project on the conforming space.
// Using this code may lead to worse refinements in ex6, so we do not use
// it by default.
// Vector conf_flux;
// flux.ConformingProject(conf_flux);
// flux.ConformingProlongate(conf_flux);
}
}
VisualizationSceneVector3d::VisualizationSceneVector3d(GridFunction &vgf)
{
FiniteElementSpace *fes = vgf.FESpace();
if (fes == NULL || fes->GetVDim() != 3)
{
cout << "VisualizationSceneVector3d::VisualizationSceneVector3d" << endl;
exit(1);
}
VecGridF = &vgf;
mesh = fes->GetMesh();
sfes = new FiniteElementSpace(mesh, fes->FEColl(), 1, fes->GetOrdering());
GridF = new GridFunction(sfes);
solx = new Vector(mesh->GetNV());
soly = new Vector(mesh->GetNV());
solz = new Vector(mesh->GetNV());
vgf.GetNodalValues(*solx, 1);
vgf.GetNodalValues(*soly, 2);
vgf.GetNodalValues(*solz, 3);
sol = new Vector(mesh->GetNV());
Init();
}
void Computation::computeNewVelocities(GridFunction& u, GridFunction& v,
GridFunction& f, GridFunction& g, GridFunction& p, RealType deltaT) {
GridFunction branch_1(p.griddimension);
MultiIndexType begin, end;
begin[0] = 1;
end[0] = u.griddimension[0] - 3;
begin[1] = 1;
end[1] = u.griddimension[1] - 2;
// u Update
PointType delta;
delta[0] = SimIO.para.deltaX;
delta[1] = SimIO.para.deltaY;
Px(branch_1, p, delta);
f.AddToGridFunction(begin, end, -1.0 * deltaT, branch_1);
u.SetGridFunction(begin, end, 1.0, f);
// v Update
begin[0] = 1;
end[0] = v.griddimension[0] - 2;
begin[1] = 1;
end[1] = v.griddimension[1] - 3;
GridFunction branch_2(p.griddimension);
Py(branch_2, p, delta);
g.AddToGridFunction(begin, end, -1.0 * deltaT, branch_2);
v.SetGridFunction(begin, end, 1.0, g);
}
void VVy(GridFunction& output, GridFunction& v, const RealType alpha,
const PointType& h) {
MultiIndexType begin, end;
begin[0] = 1;
end[0] = v.griddimension[0] - 2;
begin[1] = 1;
end[1] = v.griddimension[1] - 3;
Stencil stencil_1(3, h);
stencil_1.setVVy_1Stencil();
stencil_1.ApplyStencilOperator(begin, end, begin, end, v, output);
output.MultiplyGridFunctions(begin, end, output);
GridFunction branch_2(v.griddimension);
Stencil stencil_2(3, h);
stencil_2.setVVy_2Stencil();
stencil_2.ApplyStencilOperator(begin, end, begin, end, v, branch_2);
branch_2.MultiplyGridFunctions(begin, end, branch_2);
output.AddToGridFunction(begin, end, -1.0, branch_2);
output.ScaleGridFunction(begin, end, 1.0 / h[1]);
GridFunction branch_3(v.griddimension);
Stencil stencil_3(3, h);
stencil_3.setVVy_3Stencil();
stencil_3.ApplyStencilOperator(begin, end, begin, end, v, branch_3);
branch_3.MultiplyGridFunctions(begin, end, branch_3);
GridFunction branch_4(v.griddimension);
Stencil stencil_4(3, h);
stencil_4.setVVy_4Stencil();
stencil_4.ApplyStencilOperator(begin, end, begin, end, v, branch_4);
branch_4.MultiplyGridFunctions(begin, end, branch_4);
branch_3.MultiplyGridFunctions(begin, end, branch_4);
GridFunction branch_5(v.griddimension);
Stencil stencil_5(3, h);
stencil_5.setVVy_5Stencil();
stencil_5.ApplyStencilOperator(begin, end, begin, end, v, branch_5);
branch_5.MultiplyGridFunctions(begin, end, branch_5);
GridFunction branch_6(v.griddimension);
Stencil stencil_6(3, h);
stencil_6.setVVy_6Stencil();
stencil_6.ApplyStencilOperator(begin, end, begin, end, v, branch_6);
branch_6.MultiplyGridFunctions(begin, end, branch_6);
branch_5.MultiplyGridFunctions(begin, end, branch_6);
branch_3.AddToGridFunction(begin, end, -1.0, branch_5);
branch_3.ScaleGridFunction(begin, end, alpha / h[1]);
output.AddToGridFunction(begin, end, 1.0, branch_3);
}
void UVx(GridFunction& output, GridFunction& u, GridFunction& v,
const RealType alpha, const PointType& h) {
MultiIndexType begin, end;
begin[0] = 1;
end[0] = u.griddimension[0] - 2;
begin[1] = 1;
end[1] = u.griddimension[1] - 3;
Stencil stencil_1(3, h);
stencil_1.setUVx_1Stencil();
stencil_1.ApplyStencilOperator(begin, end, begin, end, u, output);
GridFunction branch_2(u.griddimension);
Stencil stencil_2(3, h);
stencil_2.setUVx_2Stencil();
stencil_2.ApplyStencilOperator(begin, end, begin, end, v, branch_2);
output.MultiplyGridFunctions(begin, end, branch_2);
GridFunction branch_3(u.griddimension);
Stencil stencil_3(3, h);
stencil_3.setUVx_3Stencil();
stencil_3.ApplyStencilOperator(begin, end, begin, end, u, branch_3);
GridFunction branch_4(u.griddimension);
Stencil stencil_4(3, h);
stencil_4.setUVx_4Stencil();
stencil_4.ApplyStencilOperator(begin, end, begin, end, v, branch_4);
branch_3.MultiplyGridFunctions(begin, end, branch_4);
output.AddToGridFunction(begin, end, -1.0, branch_3);
output.ScaleGridFunction(begin, end, 1.0 / h[0]);
//bis hier 1. Zeile
GridFunction branch_5(u.griddimension);
Stencil stencil_5(3, h);
stencil_5.setUVx_5Stencil();
stencil_5.ApplyStencilOperator(begin, end, begin, end, u, branch_5);
GridFunction branch_6(u.griddimension);
Stencil stencil_6(3, h);
stencil_6.setUVx_6Stencil();
stencil_6.ApplyStencilOperator(begin, end, begin, end, v, branch_6);
branch_5.MultiplyGridFunctions(begin, end, branch_6);
GridFunction branch_7(u.griddimension);
Stencil stencil_7(3, h);
stencil_7.setUVx_7Stencil();
stencil_7.ApplyStencilOperator(begin, end, begin, end, u, branch_7);
GridFunction branch_8(u.griddimension);
Stencil stencil_8(3, h);
stencil_8.setUVx_8Stencil();
stencil_8.ApplyStencilOperator(begin, end, begin, end, v, branch_8);
branch_7.MultiplyGridFunctions(begin, end, branch_8);
branch_5.AddToGridFunction(begin, end, -1.0, branch_7);
branch_5.ScaleGridFunction(begin, end, alpha * 1.0 / h[0]);
//bis hier 2. Zeile
output.AddToGridFunction(begin, end, 1.0, branch_5);
}
void Computation::ComputeHeatfunction(GridFunction& h, GridFunction& t, GridFunction& u, RealType deltaT) {
for (int i = 0; i <= h.griddimension[0]-2; i++){
for (int j = 1; j <= h.griddimension[1]-2; j++){
h.getGridFunction()[i][j] = h.getGridFunction()[i][j-1]
+ deltaT * (SimIO.para.re * SimIO.para.Pr * u.getGridFunction()[i][j]
* (t.getGridFunction()[i+1][j] + t.getGridFunction()[i][j])/2.0
- (t.getGridFunction()[i+1][j] - t.getGridFunction()[i][j])/ SimIO.para.deltaX);
}
}
}
void NumProcEnergyCalc :: Do(LocalHeap & lh)
{
double result = 0;
double potential = 0;
double conversion = 1.602176565e-19 * 6.02214129e23 * 0.5 / 1000.0;
const BilinearFormIntegrator & bfi = (bfa) ? *bfa->GetIntegrator(0) : *gfu->GetFESpace().GetIntegrator();
const BilinearFormIntegrator & bfi2 = (bfa) ? *bfa->GetIntegrator(0) : *gfu->GetFESpace().GetIntegrator();
cout.precision(dbl::digits10);
for(unsigned int kk=0; kk<molecule.size(); kk++)
{
Atom currentAtom = molecule.at(kk);
point(0) = currentAtom.x;
point(1) = currentAtom.y;
point(2) = currentAtom.z;
FlatVector<double> pflux(bfi.DimFlux(), lh);
CalcPointFlux (ma, *gfu, point, domains,
pflux, bfi, applyd, lh, component);
result = pflux(0);
if (showsteps)
cout << "(" << pflux(0)*conversion;
CalcPointFlux (ma, *gfu0, point, domains,
pflux, bfi2, applyd, lh, component);
result -= pflux(0);
if (showsteps)
cout << " - " << pflux(0)*conversion << ")*" << currentAtom.charge << " = " << currentAtom.charge * result*conversion << endl;
potential += currentAtom.charge * result;
}
double energy;
energy = (1.602176565e-19 * 6.02214129e23 * 0.5 * potential)/1000;
if (MyMPI_GetNTasks() == 1 || MyMPI_GetId() != 0){
ofstream resultFile;
resultFile.open("result.out");
resultFile << "The energy difference is " << energy << " [kJ/mol].\n";
resultFile.close();
cout << "The energy difference is " << setprecision(12) << energy << " [kJ/mol].\n";
}
pde.GetVariable(variablename,true) = result;
}
std::auto_ptr<typename ElementaryPotentialOperator<
BasisFunctionType, KernelType, ResultType>::Evaluator>
ElementaryPotentialOperator<BasisFunctionType, KernelType, ResultType>::
makeEvaluator(
const GridFunction<BasisFunctionType, ResultType>& argument,
const QuadratureStrategy& quadStrategy,
const EvaluationOptions& options) const
{
// Collect the standard set of data necessary for construction of
// evaluators and assemblers
typedef Fiber::RawGridGeometry<CoordinateType> RawGridGeometry;
typedef std::vector<const Fiber::Shapeset<BasisFunctionType>*> ShapesetPtrVector;
typedef std::vector<std::vector<ResultType> > CoefficientsVector;
typedef LocalAssemblerConstructionHelper Helper;
shared_ptr<RawGridGeometry> rawGeometry;
shared_ptr<GeometryFactory> geometryFactory;
shared_ptr<Fiber::OpenClHandler> openClHandler;
shared_ptr<ShapesetPtrVector> shapesets;
const Space<BasisFunctionType>& space = *argument.space();
shared_ptr<const Grid> grid = space.grid();
Helper::collectGridData(space,
rawGeometry, geometryFactory);
Helper::makeOpenClHandler(options.parallelizationOptions().openClOptions(),
rawGeometry, openClHandler);
Helper::collectShapesets(space, shapesets);
// In addition, get coefficients of argument's expansion in each element
const GridView& view = space.gridView();
const int elementCount = view.entityCount(0);
shared_ptr<CoefficientsVector> localCoefficients =
boost::make_shared<CoefficientsVector>(elementCount);
std::auto_ptr<EntityIterator<0> > it = view.entityIterator<0>();
for (int i = 0; i < elementCount; ++i) {
const Entity<0>& element = it->entity();
argument.getLocalCoefficients(element, (*localCoefficients)[i]);
it->next();
}
// Now create the evaluator
return quadStrategy.makeEvaluatorForIntegralOperators(
geometryFactory, rawGeometry,
shapesets,
make_shared_from_ref(kernels()),
make_shared_from_ref(trialTransformations()),
make_shared_from_ref(integral()),
localCoefficients,
openClHandler,
options.parallelizationOptions());
}
void Computation::setBoundaryG(GridFunction& g, GridFunction& v) {
MultiIndexType begin, end;
begin[0] = 1;
end[0] = g.griddimension[0] - 2;
begin[1] = 0;
end[1] = 0;
g.SetGridFunction(begin, end, 1.0, v);
begin[0] = 1;
end[0] = g.griddimension[0] - 2;
begin[1] = g.griddimension[1] - 2;
end[1] = g.griddimension[1] - 2;
g.SetGridFunction(begin, end, 1.0, v);
}
void Computation::setBoundaryF(GridFunction& f, GridFunction& u) {
MultiIndexType begin, end;
begin[0] = 0;
end[0] = 0;
begin[1] = 1;
end[1] = f.griddimension[1] - 2;
f.SetGridFunction(begin, end, 1.0, u);
// F_iMax,j=u_iMax+1,j
begin[0] = f.griddimension[0] - 2;
end[0] = f.griddimension[0] - 2;
begin[1] = 1;
end[1] = f.griddimension[1] - 2;
f.SetGridFunction(begin, end, 1.0, u);
}
void Stencil::ApplyUVxStencilOperator(const MultiIndexType& gridreadbegin,
const MultiIndexType& gridreadend,
const MultiIndexType& gridwritebegin,
const MultiIndexType& gridwriteend,
const GridFunctionType& sourcegridfunctionU,
const GridFunctionType& sourcegridfunctionV,
GridFunction& imagegridfunction,
RealType alpha){
RealType tmp;
for (IndexType i=gridwritebegin[0]; i<=gridwriteend[0]; i++){
for (IndexType j=gridwritebegin[1]; j<=gridwriteend[1]; j++){
tmp = 0.25*((sourcegridfunctionU[i][j]+sourcegridfunctionU[i][j+1])*
(sourcegridfunctionV[i][j]+sourcegridfunctionV[i+1][j])-
(sourcegridfunctionU[i-1][j]+sourcegridfunctionU[i-1][j+1])*
(sourcegridfunctionV[i-1][j]+sourcegridfunctionV[i][j])
)+
alpha*0.25*(abs(sourcegridfunctionU[i][j]+sourcegridfunctionU[i][j+1])*
(sourcegridfunctionV[i][j]-sourcegridfunctionV[i+1][j])-
abs(sourcegridfunctionU[i-1][j]+sourcegridfunctionU[i-1][j+1])*
(sourcegridfunctionV[i-1][j]-sourcegridfunctionV[i][j])
);
imagegridfunction.SetGridFunction(i,j,tmp/h[0]);
}
}
}
void Computation::ComputeTemperature(GridFunction& T, GridFunction& u,
GridFunction& v, RealType deltaT) {
GridFunction branch_1(T.griddimension);
GridFunction branch_2(T.griddimension);
MultiIndexType begin, end;
//missing w�rmequelle
begin[0] = 1;
end[0] = T.griddimension[0] - 2;
begin[1] = 1;
end[1] = T.griddimension[1] - 2;
PointType delta;
delta[0] = SimIO.para.deltaX;
delta[1] = SimIO.para.deltaY;
TXX(branch_1, T, delta);
TYY(branch_2, T, delta);
branch_1.AddToGridFunction(begin, end, 1.0, branch_2);
branch_1.ScaleGridFunction(begin, end,
1.0 / (SimIO.para.Pr * SimIO.para.re));
GridFunction branch_3(T.griddimension);
GridFunction branch_4(T.griddimension);
UTX(branch_3, u, T, SimIO.para.gamma, delta);
VTY(branch_4, v, T, SimIO.para.gamma, delta);
branch_3.AddToGridFunction(begin, end, 1.0, branch_4);
branch_1.AddToGridFunction(begin, end, -1.0, branch_3);
branch_1.ScaleGridFunction(begin, end, deltaT);
T.AddToGridFunction(begin, end, 1.0, branch_1);
}
void Computation::setBoundaryP(GridFunction& p) {
MultiIndexType begin, end;
if (SimIO.para.world_rank == 0) {
// p_0,j = p_1,j
begin[0] = 0;
end[0] = 0;
begin[1] = 1;
end[1] = p.griddimension[1] - 2;
MultiIndexType Offset;
Offset[0] = 1;
Offset[1] = 0;
p.SetGridFunction(begin, end, 1.0, Offset);
}
if (SimIO.para.world_rank == 1) {
// p_iMax+1,j = p_iMax,j
begin[0] = p.griddimension[0] - 1;
end[0] = p.griddimension[0] - 1;
begin[1] = 1;
end[1] = p.griddimension[1] - 2;
MultiIndexType Offset;
Offset[0] = -1;
Offset[1] = 0;
p.SetGridFunction(begin, end, 1.0, Offset);
}
// p_i,0 = p_i,1
begin[0] = 1;
end[0] = p.griddimension[0] - 2;
begin[1] = 0;
end[1] = 0;
MultiIndexType Offset;
Offset[0] = 0;
Offset[1] = 1;
p.SetGridFunction(begin, end, 1.0, Offset);
// p_i,jMax+1 = p_i,jMax
begin[0] = 1;
end[0] = p.griddimension[0] - 2;
begin[1] = p.griddimension[1] - 1;
end[1] = p.griddimension[1] - 1;
Offset[0] = 0;
Offset[1] = -1;
p.SetGridFunction(begin, end, 1.0, Offset);
}
std::auto_ptr<InterpolatedFunction<ResultType> >
ElementaryPotentialOperator<BasisFunctionType, KernelType, ResultType>::
evaluateOnGrid(
const GridFunction<BasisFunctionType, ResultType>& argument,
const Grid& evaluationGrid,
const QuadratureStrategy& quadStrategy,
const EvaluationOptions& options) const
{
if (evaluationGrid.dimWorld() != argument.grid()->dimWorld())
throw std::invalid_argument(
"ElementaryPotentialOperator::evaluateOnGrid(): "
"the evaluation grid and the surface on which the grid "
"function 'argument' is defined must be embedded in a space "
"of the same dimension");
// Get coordinates of interpolation points, i.e. the evaluationGrid's vertices
std::auto_ptr<GridView> evalView = evaluationGrid.leafView();
const int evalGridDim = evaluationGrid.dim();
const int evalPointCount = evalView->entityCount(evalGridDim);
arma::Mat<CoordinateType> evalPoints(evalGridDim, evalPointCount);
const IndexSet& evalIndexSet = evalView->indexSet();
// TODO: extract into template function, perhaps add case evalGridDim == 1
if (evalGridDim == 2) {
const int vertexCodim = 2;
std::auto_ptr<EntityIterator<vertexCodim> > it =
evalView->entityIterator<vertexCodim>();
while (!it->finished()) {
const Entity<vertexCodim>& vertex = it->entity();
const Geometry& geo = vertex.geometry();
const int vertexIndex = evalIndexSet.entityIndex(vertex);
arma::Col<CoordinateType> activeCol(evalPoints.unsafe_col(vertexIndex));
geo.getCenter(activeCol);
it->next();
}
} else if (evalGridDim == 3) {
const int vertexCodim = 3;
std::auto_ptr<EntityIterator<vertexCodim> > it =
evalView->entityIterator<vertexCodim>();
while (!it->finished()) {
const Entity<vertexCodim>& vertex = it->entity();
const Geometry& geo = vertex.geometry();
const int vertexIndex = evalIndexSet.entityIndex(vertex);
arma::Col<CoordinateType> activeCol(evalPoints.unsafe_col(vertexIndex));
geo.getCenter(activeCol);
it->next();
}
}
arma::Mat<ResultType> result;
result = evaluateAtPoints(argument, evalPoints, quadStrategy, options);
return std::auto_ptr<InterpolatedFunction<ResultType> >(
new InterpolatedFunction<ResultType>(evaluationGrid, result));
}
void Computation::computeRighthandSide(GridFunction& rhs, GridFunction& f,
GridFunction& g, RealType deltaT) {
GridFunction branch_1(g.griddimension);
MultiIndexType begin, end;
begin[0] = 1;
end[0] = f.griddimension[0] - 2;
begin[1] = 1;
end[1] = f.griddimension[1] - 2;
PointType delta;
delta[0] = SimIO.para.deltaX;
delta[1] = SimIO.para.deltaY;
Fx(rhs, f, delta);
Gy(branch_1, g, delta);
rhs.AddToGridFunction(begin, end, 1.0, branch_1);
rhs.ScaleGridFunction(begin, end, 1.0 / deltaT);
}
void Computation::setBoundaryTN(GridFunction& T, RealType (*TO)(RealType),
RealType (*TU)(RealType), RealType (*TL)(RealType),
RealType (*TR)(RealType)) {
MultiIndexType begin, end;
// T_i,0
begin[0] = 1;
end[0] = T.griddimension[0] - 2;
begin[1] = 0;
end[1] = 0;
MultiIndexType Offset;
Offset[0] = 0;
Offset[1] = 1;
T.SetGridFunction(begin, end, TU, false, SimIO.para.deltaX);
T.ScaleGridFunction(begin, end, SimIO.para.deltaY);
T.AddToGridFunction(begin, end, 1.0, T, Offset);
// T_i,jmax+1
begin[0] = 1;
end[0] = T.griddimension[0] - 2;
begin[1] = T.griddimension[1] - 1;
end[1] = T.griddimension[1] - 1;
//MultiIndexType Offset;
Offset[0] = 0;
Offset[1] = -1;
T.SetGridFunction(begin, end, TO, false, SimIO.para.deltaX);
T.ScaleGridFunction(begin, end, SimIO.para.deltaY);
T.AddToGridFunction(begin, end, 1.0, T, Offset);
}
void Computation::setBoundaryV(GridFunction& v) {
MultiIndexType begin, end;
// v_i,0 = 0
begin[0] = 1;
end[0] = v.griddimension[0] - 2;
begin[1] = 0;
end[1] = 0;
v.SetGridFunction(begin, end, 0.0);
// v_i,jMax =0
begin[0] = 1;
end[0] = v.griddimension[0] - 2;
begin[1] = v.griddimension[1] - 2;
end[1] = v.griddimension[1] - 2;
v.SetGridFunction(begin, end, 0.0);
if (SimIO.para.world_rank == 0) {
// v_0,j = -v_1,j
begin[0] = 0;
end[0] = 0;
begin[1] = 1;
end[1] = v.griddimension[1] - 2;
MultiIndexType Offset;
Offset[0] = 1;
Offset[1] = 0;
v.SetGridFunction(begin, end, -1.0, Offset);
}
if (SimIO.para.world_rank == 1) {
// v_iMax+1,j = -v_iMax,j
begin[0] = v.griddimension[0] - 1;
end[0] = v.griddimension[0] - 1;
begin[1] = 1;
end[1] = v.griddimension[1] - 2;
MultiIndexType Offset;
Offset[0] = -1;
Offset[1] = 0;
v.SetGridFunction(begin, end, -1.0, Offset);
}
}
int IO::getAmountOfFluidcells(GridFunction& geo)
{
int aof = 0;
for (int i = geo.beginwrite[0]; i <= geo.endwrite[0]; i++)
{
for (int j = geo.beginwrite[1]; j <= geo.endwrite[1]; j++ )
{
if(geo.GetGridFunction(i,j) >= 16)
aof++;
}
}
return aof;
}
void Computation::setBoundaryU(GridFunction& u) {
MultiIndexType begin, end;
if (SimIO.para.world_rank == 0) {
// u_0,j = 0
begin[0] = 0;
end[0] = 0;
begin[1] = 1;
end[1] = u.griddimension[1] - 2;
u.SetGridFunction(begin, end, 0.0);
}
if (SimIO.para.world_rank == 1) {
//u_iMax,j = 0
begin[0] = u.griddimension[0] - 2;
end[0] = u.griddimension[0] - 2;
begin[1] = 1;
end[1] = u.griddimension[1] - 2;
u.SetGridFunction(begin, end, 0.0);
}
// u_i,0
begin[0] = 1;
end[0] = u.griddimension[0] - 2;
begin[1] = 0;
end[1] = 0;
MultiIndexType Offset;
Offset[0] = 0;
Offset[1] = 1;
u.SetGridFunction(begin, end, -1.0, Offset);
// u_i,jMax+1
begin[0] = 1;
end[0] = u.griddimension[0] - 2;
begin[1] = u.griddimension[1] - 1;
end[1] = u.griddimension[1] - 1;
Offset[0] = 0;
Offset[1] = -1;
u.SetGridFunction(begin, end, -1.0, Offset);
//u.SetGridFunction(begin, end, -1.0, u, Offset, 2.0);
}
RealType Solver::computeResidual(GridFunction& sourcegridfunction,
GridFunctionType& rhs,
const PointType& h){
//<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
// The pre-value to be returned (return sqrt(doubleSum)):
RealType doubleSum = 0.0;
/* We need to compute the derivatives p_xx and p_yy, therefore the stencil has to be applied.
*/
MultiIndexType dim = sourcegridfunction.GetGridDimension();
MultiIndexType bread (0,0);
MultiIndexType eread (dim[0]-1,dim[1]-1);
MultiIndexType bwrite (1,1);
MultiIndexType ewrite (dim[0]-2,dim[1]-2);
//Compute the needed derivations for the whole (inner?) area
Stencil stencil(3,h); // bzw. Kann man einfach const weitergeben? /Wie?
//Get the values for derivative in x-direction:
GridFunction Fxx(dim);
stencil.ApplyFxxStencilOperator(bread, eread, bwrite, ewrite, sourcegridfunction.GetGridFunction(), Fxx);
//Get the values for derivative in y-direction:
GridFunction Fyy(dim);
stencil.ApplyFyyStencilOperator(bread, eread, bwrite, ewrite, sourcegridfunction.GetGridFunction(), Fyy);
// Compute the residual: res = sqrt(Sum_i^I(Sum_j^J((p_xx+p_yy-rightHandSide)²/(I*J))))
RealType derivator;
for (IndexType i = 1; i <= dim[0]-2; i++)
{
for (IndexType j = 1; j <= dim[1]-2; j++)
{
derivator = Fxx.GetGridFunction()[i][j]+ Fyy.GetGridFunction()[i][j] - rhs[i][j];
doubleSum += derivator*derivator / (dim[0]-2) / (dim[1]-2);
}
}
//std::cout<<doubleSum<<std::endl;
return sqrt(doubleSum);
}
//one cycle of the solver, starts with (1,1)
void Solver::SORCycle_White(GridFunction& p, GridFunction& rhs) {
for (int i = 1; i<=SimIO.para.iMax;i++){
for(int j=1+i%2; j<=SimIO.para.jMax;j+=2){
p.getGridFunction()[i][j] =(1-SimIO.para.omg)*p.getGridFunction()[i][j] +
(SimIO.para.omg)/(2.0*(1.0/(SimIO.para.deltaX*SimIO.para.deltaX) + 1.0/(SimIO.para.deltaY*SimIO.para.deltaY)))*
((p.getGridFunction()[i+1][j]+p.getGridFunction()[i-1][j])/(SimIO.para.deltaX*SimIO.para.deltaX) +
(p.getGridFunction()[i][j+1]+p.getGridFunction()[i][j-1])/(SimIO.para.deltaY*SimIO.para.deltaY)
- rhs.getGridFunction()[i][j]);
}
}
}
double StressCoefficient::Eval(ElementTransformation &T,
const IntegrationPoint &ip)
{
MFEM_ASSERT(u != NULL, "displacement field is not set");
double L = lambda.Eval(T, ip);
double M = mu.Eval(T, ip);
u->GetVectorGradient(T, grad);
if (si == sj)
{
double div_u = grad.Trace();
return L*div_u + 2*M*grad(si,si);
}
else
{
return M*(grad(si,sj) + grad(sj,si));
}
}
void UpdateProblem(Mesh &mesh, FiniteElementSpace &fespace,
GridFunction &x, BilinearForm &a, LinearForm &b)
{
// Update the space: recalculate the number of DOFs and construct a matrix
// that will adjust any GridFunctions to the new mesh state.
fespace.Update();
// Interpolate the solution on the new mesh by applying the transformation
// matrix computed in the finite element space. Multiple GridFunctions could
// be updated here.
x.Update();
// Free any transformation matrices to save memory.
fespace.UpdatesFinished();
// Inform the linear and bilinear forms that the space has changed.
a.Update();
b.Update();
}
void Stencil::ApplyStencilOperator(const MultiIndexType& gridreadbegin,
const MultiIndexType& gridreadend,
const MultiIndexType& gridwritebegin,
const MultiIndexType& gridwriteend,
const GridFunctionType& sourcegridfunction,
GridFunction& imagegridfunction){
// Berechne die Ableitungen
// (0,0) ist bei allen allen drei Matrtzen (Stencil, sourcegrid, imagegrid) oben links
RealType tmp;
for (IndexType i=gridwritebegin[0]; i<=gridwriteend[0]; i++){
for (IndexType j=gridwritebegin[1]; j<=gridwriteend[1]; j++){
tmp = 0.0;
for(IndexType k=0; k<3; k++){
for(IndexType l=0; l<3; l++){
tmp = tmp + sourcegridfunction[i+k-1][j+l-1]*stencil[k][l];
}
}
imagegridfunction.SetGridFunction(i,j,tmp);
}
}
}
Solution<BasisFunctionType, ResultType>
DefaultIterativeSolver<BasisFunctionType, ResultType>::solveImplNonblocked(
const GridFunction<BasisFunctionType, ResultType>& rhs) const
{
typedef BoundaryOperator<BasisFunctionType, ResultType> BoundaryOp;
typedef typename ScalarTraits<ResultType>::RealType MagnitudeType;
typedef Thyra::MultiVectorBase<ResultType> TrilinosVector;
const BoundaryOp* boundaryOp = boost::get<BoundaryOp>(&m_impl->op);
if (!boundaryOp)
throw std::logic_error(
"DefaultIterativeSolver::solve(): for solvers constructed "
"from a BlockedBoundaryOperator the other solve() overload "
"must be used");
Solver<BasisFunctionType, ResultType>::checkConsistency(
*boundaryOp, rhs, m_impl->mode);
// Construct rhs vector
Vector<ResultType> projectionsVector(
rhs.projections(*boundaryOp->dualToRange()));
Teuchos::RCP<TrilinosVector> rhsVector;
if (m_impl->mode == ConvergenceTestMode::TEST_CONVERGENCE_IN_DUAL_TO_RANGE)
rhsVector = Teuchos::rcpFromRef(projectionsVector);
else {
const size_t size = boundaryOp->range()->globalDofCount();
rhsVector.reset(new Vector<ResultType>(size));
boost::get<BoundaryOp>(m_impl->pinvId).weakForm()->apply(
Thyra::NOTRANS, projectionsVector, rhsVector.ptr(), 1., 0.);
}
// Construct solution vector
arma::Col<ResultType> armaSolution(rhsVector->range()->dim());
armaSolution.fill(static_cast<ResultType>(0.));
Teuchos::RCP<TrilinosVector> solutionVector = wrapInTrilinosVector(armaSolution);
// Get number of threads
Fiber::ParallelizationOptions parallelOptions =
boundaryOp->context()->assemblyOptions().parallelizationOptions();
int maxThreadCount = 1;
if (!parallelOptions.isOpenClEnabled()) {
if (parallelOptions.maxThreadCount() ==
ParallelizationOptions::AUTO)
maxThreadCount = tbb::task_scheduler_init::automatic;
else
maxThreadCount = parallelOptions.maxThreadCount();
}
// Solve
Thyra::SolveStatus<MagnitudeType> status;
{
// Initialize TBB threads here (to prevent their construction and
// destruction on every matrix-vector multiplication)
tbb::task_scheduler_init scheduler(maxThreadCount);
status = m_impl->solverWrapper->solve(
Thyra::NOTRANS, *rhsVector, solutionVector.ptr());
}
// Construct grid function and return
return Solution<BasisFunctionType, ResultType>(
GridFunction<BasisFunctionType, ResultType>(
boundaryOp->context(), boundaryOp->domain(), armaSolution),
status);
}
void Computation::setBoundaryTD(GridFunction& T, RealType (*TO)(RealType),
RealType (*TU)(RealType), RealType (*TL)(RealType),
RealType (*TR)(RealType)) {
MultiIndexType begin, end;
if (SimIO.para.world_rank == 0) {
// p_0,j = p_1,j
begin[0] = 0;
end[0] = 0;
begin[1] = 1;
end[1] = T.griddimension[1] - 2;
T.SetGridFunction(begin, end, TL, true, SimIO.para.deltaY);
T.ScaleGridFunction(begin, end, 2.0);
MultiIndexType Offset;
Offset[0] = 1;
Offset[1] = 0;
T.AddToGridFunction(begin, end, -1.0, T, Offset);
}
if (SimIO.para.world_rank == 1) {
// T_imax+1,j
begin[0] = T.griddimension[0] - 1;
end[0] = T.griddimension[0] - 1;
begin[1] = 1;
end[1] = T.griddimension[1] - 2;
MultiIndexType Offset;
Offset[0] = -1;
Offset[1] = 0;
T.SetGridFunction(begin, end, TR, true, SimIO.para.deltaY);
T.ScaleGridFunction(begin, end, 2.0);
T.AddToGridFunction(begin, end, -1.0, T, Offset);
}
/*
// T_i,0
begin[0] = 1;
end[0] = T.griddimension[0] - 2;
begin[1] = 0;
end[1] = 0;
MultiIndexType Offset;
Offset[0] = 0;
Offset[1] = 1;
T.SetGridFunction(begin, end, TU, false, SimIO.para.deltaX);
T.ScaleGridFunction(begin, end, 2.0);
T.AddToGridFunction(begin, end, -1.0, T, Offset);
// T_i,jmax+1
begin[0] = 1;
end[0] = T.griddimension[0] - 2;
begin[1] = T.griddimension[1] - 1;
end[1] = T.griddimension[1] - 1;
MultiIndexType Offset;
Offset[0] = 0;
Offset[1] = -1;
T.SetGridFunction(begin, end, TO, false, SimIO.para.deltaX);
T.ScaleGridFunction(begin, end, 2.0);
T.AddToGridFunction(begin, end, -1.0, T, Offset);*/
}
void IO::writeVTKSlavefile(GridFunction& u_gridfunction,
GridFunction& v_gridfunction, GridFunction& p_gridfunction,
GridFunction& T_gridfunction, GridFunction& Geo_gridfunction,
const PointType& delta, int mpiSizeH, int mpiSizeV, int step,
int rank){
double deltaX =delta[0];
double deltaY =delta[1];
int ibegin = p_gridfunction.beginwrite[0];
int iend = p_gridfunction.endwrite[0];
int jbegin = p_gridfunction.beginwrite[1];
int jend = p_gridfunction.endwrite[1];
GridFunctionType p = p_gridfunction.GetGridFunction();
GridFunctionType u = u_gridfunction.GetGridFunction();
GridFunctionType v = v_gridfunction.GetGridFunction();
GridFunctionType T = T_gridfunction.GetGridFunction();
GridFunctionType geo = Geo_gridfunction.GetGridFunction();
int localgriddimensionX = iend-ibegin+1;
int localgriddimensionY = jend-jbegin+1;
int processorgridcoordX = rank % mpiSizeH;
int processorgridcoordY = floor(rank / mpiSizeH);
int x1=processorgridcoordX *localgriddimensionX-processorgridcoordX;
int x2=(processorgridcoordX+1)*localgriddimensionX-processorgridcoordX-1;
int x3=processorgridcoordY *localgriddimensionY-processorgridcoordY;
int x4=(processorgridcoordY+1)*localgriddimensionY-processorgridcoordY-1;
char numstr[21];
sprintf (numstr, "%d", step);
std::string filename;
filename.append ("./");
filename.append (output);
filename.append ("/");
filename.append ("sol_");
filename.append (numstr);
filename.append ("_rank");
sprintf (numstr, "%d", rank);
filename.append (numstr);
filename.append (".vtr");
std::filebuf fb;
fb.open (const_cast < char *>(filename.c_str ()), std::ios::out);
std::ostream os (&fb);
os << "<?xml version=\"1.0\"?>" << std::endl
// << "<VTKFile type=\"RectilinearGrid\">" << std::endl
<< "<VTKFile type=\"RectilinearGrid\">" << std::endl
<< "<RectilinearGrid WholeExtent=\""
<< x1 << " " << x2 << " "
<< x3 << " " << x4 << " "
<< "0" << " " << "0" << " "
<< "\" GhostLevel=\"" << "0" << "\">" << std::endl
<< "<Piece Extent=\""<<x1<<" "<<x2<<" "<<x3<<" "<<x4<<" 0 0 \">" <<std::endl
<< "<Coordinates>"<<std::endl
<<
"<DataArray type=\"Float64\" format=\"ascii\"> "
<< std::endl;
//coordinates
for (int i = ibegin; i <= iend; ++i)
{
os << std::scientific <<(processorgridcoordX*localgriddimensionX)*deltaX-processorgridcoordX*deltaX+ i * deltaX << " ";
}
os << std::endl;
os << "</DataArray>" << std::endl
<< "<DataArray type=\"Float64\" format=\"ascii\"> " << std::endl;
for (int j = jbegin; j <= jend; ++j)
{
os << std::scientific << (processorgridcoordY*localgriddimensionY)*deltaY-processorgridcoordY*deltaY + j * deltaY << " ";
}
os << std::endl
<< "</DataArray>" << std::endl
<< "<DataArray type=\"Float64\" format=\"ascii\"> " << std::endl
<< "0 0" << std::endl
<< "</DataArray>" << std::endl
<< "</Coordinates>" << std::endl
<< "<PointData>"
<< std::endl <<
"<DataArray Name=\"field\" NumberOfComponents=\"3\" type=\"Float64\" >" <<
std::endl;
//velocities
for (int j = jbegin; j <= jend; ++j)
{
RealType y = j * deltaY;
for (int i = ibegin; i <= iend; ++i)
{
RealType x = i * deltaX;
os << std::scientific << interpolateVelocityU (x, y, u,
delta) << " " <<
interpolateVelocityV (x, y, v, delta) << " " << 0. << std::endl;
}
}
os << "</DataArray>" << std::endl
<< "<DataArray type=\"Float64\" Name=\"P\" format=\"ascii\">" <<
std::endl;
//pressure
for (int j = jbegin; j <= jend; ++j)
{
for (int i = ibegin; i <= iend; ++i)
{
os << std::scientific << p[i][j] << " ";
}
os << std::endl;
}
os << "</DataArray>" << std::endl;
os << "<DataArray type=\"Float64\" Name=\"T\" format=\"ascii\">" <<
std::endl;
//temperature
for (int j = jbegin; j <= jend; ++j)
{
for (int i = ibegin; i <= iend; ++i)
{
os << std::scientific << T[i][j] << " ";
}
os << std::endl;
}
os << "</DataArray>" << std::endl;
os << "<DataArray type=\"Float64\" Name=\"Geometry\" format=\"ascii\">" <<
std::endl;
//Geometry
for (int j = jbegin; j <= jend; ++j)
{
for (int i = ibegin; i <= iend; ++i)
{
os << std::scientific << geo[i][j] << " ";
}
os << std::endl;
}
os << "</DataArray>" << std::endl
<< "</PointData>" << std::endl
<< "</Piece>" << std::endl
<< "</RectilinearGrid>" << std::endl << "</VTKFile>" << std::endl;
fb.close ();
}
void Computation::computeMomentumEquations(GridFunction& f, GridFunction& g,
GridFunction& u, GridFunction& v, GridFunction& t, RealType& deltaT) {
PointType h;
h[0] = SimIO.para.deltaX;
h[1] = SimIO.para.deltaY;
RealType alpha = SimIO.para.alpha;
MultiIndexType begin, end;
begin[0] = 1;
end[0] = u.griddimension[0] - 3;
begin[1] = 1;
end[1] = u.griddimension[1] - 2;
// Term F
Uxx(f, u, h);
GridFunction branch_2(u.griddimension);
Uyy(branch_2, u, h);
f.AddToGridFunction(begin, end, 1.0, branch_2);
f.ScaleGridFunction(begin, end, 1.0 / SimIO.para.re);
GridFunction branch_3(u.griddimension);
UUx(branch_3, u, alpha, h);
GridFunction branch_4(u.griddimension);
UVy(branch_4, u, v, alpha, h);
branch_3.AddToGridFunction(begin, end, 1.0, branch_4);
f.AddToGridFunction(begin, end, -1.0, branch_3);
// KILL branch 2-4
f.ScaleGridFunction(begin, end, deltaT);
f.AddToGridFunction(begin, end, 1.0, u);
// - beta deltaT (tx stencil) gx
GridFunction branch_5(u.griddimension);
Stencil stencil_1(3, h);
stencil_1.setTxStencil();
stencil_1.ApplyStencilOperator(begin, end, begin, end, t, branch_5);
branch_5.ScaleGridFunction(begin, end,
deltaT * SimIO.para.beta * SimIO.para.gx);
f.AddToGridFunction(begin, end, -1.0, branch_5);
//Term G
begin[0] = 1;
end[0] = v.griddimension[0] - 2;
begin[1] = 1;
end[1] = v.griddimension[1] - 3;
Vxx(g, v, h);
GridFunction branch_6(v.griddimension);
Vyy(branch_6, v, h);
g.AddToGridFunction(begin, end, 1.0, branch_6);
g.ScaleGridFunction(begin, end, 1.0 / SimIO.para.re);
GridFunction branch_7(v.griddimension);
UVx(branch_7, u, v, alpha, h);
GridFunction branch_8(v.griddimension);
VVy(branch_8, v, alpha, h);
branch_7.AddToGridFunction(begin, end, 1.0, branch_8);
g.AddToGridFunction(begin, end, -1.0, branch_7);
g.ScaleGridFunction(begin, end, deltaT);
g.AddToGridFunction(begin, end, 1.0, v);
// - beta deltaT (ty stencil) gy
GridFunction branch_9(u.griddimension);
Stencil stencil_2(3, h);
stencil_2.setTyStencil();
stencil_2.ApplyStencilOperator(begin, end, begin, end, t, branch_9);
branch_9.ScaleGridFunction(begin, end,
deltaT * SimIO.para.beta * SimIO.para.gy);
g.AddToGridFunction(begin, end, -1.0, branch_9);
}
/// Check if the mesh of the solution was modified.
bool MeshIsModified()
{
long mesh_sequence = solution->FESpace()->GetMesh()->GetSequence();
MFEM_ASSERT(mesh_sequence >= current_sequence, "");
return (mesh_sequence > current_sequence);
}
