void MappingExtrapolate::v_CorrectPressureBCs(
const Array<OneD, NekDouble> &pressure)
{
if(m_HBCdata.num_elements()>0)
{
int cnt, n;
int physTot = m_fields[0]->GetTotPoints();
int nvel = m_fields.num_elements()-1;
Array<OneD, NekDouble> Vals;
// Remove previous correction
for(cnt = n = 0; n < m_PBndConds.num_elements(); ++n)
{
if(m_PBndConds[n]->GetUserDefined() == "H")
{
int nq = m_PBndExp[n]->GetNcoeffs();
Vmath::Vsub(nq, &(m_PBndExp[n]->GetCoeffs()[0]), 1,
&(m_bcCorrection[cnt]), 1,
&(m_PBndExp[n]->UpdateCoeffs()[0]), 1);
cnt += nq;
}
}
// Calculate new correction
Array<OneD, NekDouble> Jac(physTot, 0.0);
m_mapping->GetJacobian(Jac);
Array<OneD, Array<OneD, NekDouble> > correction(nvel);
Array<OneD, Array<OneD, NekDouble> > gradP(nvel);
Array<OneD, Array<OneD, NekDouble> > wk(nvel);
Array<OneD, Array<OneD, NekDouble> > wk2(nvel);
for (int i=0; i<nvel; i++)
{
wk[i] = Array<OneD, NekDouble> (physTot, 0.0);
gradP[i] = Array<OneD, NekDouble> (physTot, 0.0);
correction[i] = Array<OneD, NekDouble> (physTot, 0.0);
}
// Calculate G(p)
for(int i = 0; i < nvel; ++i)
{
m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[i], pressure, gradP[i]);
if(m_fields[0]->GetWaveSpace())
{
m_fields[0]->HomogeneousBwdTrans(gradP[i], wk[i]);
}
else
{
Vmath::Vcopy(physTot, gradP[i], 1, wk[i], 1);
}
}
m_mapping->RaiseIndex(wk, correction); // G(p)
// alpha*J*(G(p))
if (!m_mapping->HasConstantJacobian())
{
for(int i = 0; i < nvel; ++i)
{
Vmath::Vmul(physTot, correction[i], 1, Jac, 1, correction[i], 1);
}
}
for(int i = 0; i < nvel; ++i)
{
Vmath::Smul(physTot, m_pressureRelaxation, correction[i], 1, correction[i], 1);
}
if(m_pressure->GetWaveSpace())
{
for(int i = 0; i < nvel; ++i)
{
m_pressure->HomogeneousFwdTrans(correction[i], correction[i]);
}
}
// p_i - alpha*J*div(G(p))
for (int i = 0; i < nvel; ++i)
{
Vmath::Vsub(physTot, gradP[i], 1, correction[i], 1, correction[i], 1);
}
// Get value at boundary and calculate Inner product
StdRegions::StdExpansionSharedPtr Pbc;
StdRegions::StdExpansionSharedPtr elmt;
Array<OneD, Array<OneD, const NekDouble> > correctionElmt(m_bnd_dim);
Array<OneD, Array<OneD, NekDouble> > BndValues(m_bnd_dim);
for(int i = 0; i < m_bnd_dim; i++)
{
BndValues[i] = Array<OneD, NekDouble> (m_pressureBCsMaxPts,0.0);
}
for(int j = 0 ; j < m_HBCdata.num_elements() ; j++)
{
/// Casting the boundary expansion to the specific case
Pbc = boost::dynamic_pointer_cast<StdRegions::StdExpansion>
(m_PBndExp[m_HBCdata[j].m_bndryID]
->GetExp(m_HBCdata[j].m_bndElmtID));
/// Picking up the element where the HOPBc is located
elmt = m_pressure->GetExp(m_HBCdata[j].m_globalElmtID);
/// Assigning
for(int i = 0; i < m_bnd_dim; i++)
{
correctionElmt[i] = correction[i] + m_HBCdata[j].m_physOffset;
}
Vals = m_bcCorrection + m_HBCdata[j].m_coeffOffset;
// Getting values on the edge and filling the correction
switch(m_pressure->GetExpType())
{
case MultiRegions::e2D:
case MultiRegions::e3DH1D:
{
elmt->GetEdgePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
correctionElmt[0], BndValues[0]);
elmt->GetEdgePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
correctionElmt[1], BndValues[1]);
// InnerProduct
Pbc->NormVectorIProductWRTBase(BndValues[0], BndValues[1],
Vals);
}
break;
case MultiRegions::e3D:
{
elmt->GetFacePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
correctionElmt[0], BndValues[0]);
elmt->GetFacePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
correctionElmt[1], BndValues[1]);
elmt->GetFacePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
correctionElmt[2], BndValues[2]);
Pbc->NormVectorIProductWRTBase(BndValues[0], BndValues[1],
BndValues[2], Vals);
}
break;
default:
ASSERTL0(0,"Dimension not supported");
break;
}
}
// Apply new correction
for(cnt = n = 0; n < m_PBndConds.num_elements(); ++n)
{
if(m_PBndConds[n]->GetUserDefined() == "H")
{
int nq = m_PBndExp[n]->GetNcoeffs();
Vmath::Vadd(nq, &(m_PBndExp[n]->GetCoeffs()[0]), 1,
&(m_bcCorrection[cnt]), 1,
&(m_PBndExp[n]->UpdateCoeffs()[0]), 1);
cnt += nq;
}
}
}
}
void MappingExtrapolate::v_CalcNeumannPressureBCs(
const Array<OneD, const Array<OneD, NekDouble> > &fields,
const Array<OneD, const Array<OneD, NekDouble> > &N,
NekDouble kinvis)
{
if (m_mapping->HasConstantJacobian() && !m_implicitViscous)
{
Extrapolate::v_CalcNeumannPressureBCs( fields, N, kinvis);
}
else
{
int physTot = m_fields[0]->GetTotPoints();
int nvel = m_fields.num_elements()-1;
Array<OneD, NekDouble> Pvals;
StdRegions::StdExpansionSharedPtr Pbc;
StdRegions::StdExpansionSharedPtr elmt;
Array<OneD, Array<OneD, const NekDouble> > Velocity(m_bnd_dim);
Array<OneD, Array<OneD, const NekDouble> > Advection(m_bnd_dim);
// Get transformation Jacobian
Array<OneD, NekDouble> Jac(physTot,0.0);
m_mapping->GetJacobian(Jac);
// Declare variables
Array<OneD, Array<OneD, NekDouble> > BndValues(m_bnd_dim);
Array<OneD, Array<OneD, NekDouble> > Q(m_bnd_dim);
Array<OneD, Array<OneD, NekDouble> > Q_field(nvel);
Array<OneD, Array<OneD, NekDouble> > fields_new(nvel);
Array<OneD, Array<OneD, NekDouble> > N_new(m_bnd_dim);
// Temporary variables
Array<OneD, NekDouble> tmp(physTot,0.0);
Array<OneD, NekDouble> tmp2(physTot,0.0);
for(int i = 0; i < m_bnd_dim; i++)
{
BndValues[i] = Array<OneD, NekDouble> (m_pressureBCsMaxPts,0.0);
Q[i] = Array<OneD, NekDouble> (m_pressureBCsElmtMaxPts,0.0);
N_new[i] = Array<OneD, NekDouble> (physTot,0.0);
}
for(int i = 0; i < nvel; i++)
{
Q_field[i] = Array<OneD, NekDouble> (physTot,0.0);
fields_new[i] = Array<OneD, NekDouble> (physTot,0.0);
}
// Multiply convective terms by Jacobian
for(int i = 0; i < m_bnd_dim; i++)
{
if (m_fields[0]->GetWaveSpace())
{
m_fields[0]->HomogeneousBwdTrans(N[i],N_new[i]);
}
else
{
Vmath::Vcopy(physTot, N[i], 1, N_new[i], 1);
}
Vmath::Vmul(physTot, Jac, 1, N_new[i], 1, N_new[i], 1);
if (m_fields[0]->GetWaveSpace())
{
m_fields[0]->HomogeneousFwdTrans(N_new[i],N_new[i]);
}
}
// Get velocity in physical space
for(int i = 0; i < nvel; i++)
{
if (m_fields[0]->GetWaveSpace())
{
m_fields[0]->HomogeneousBwdTrans(fields[i],fields_new[i]);
}
else
{
Vmath::Vcopy(physTot, fields[i], 1, fields_new[i], 1);
}
}
// Calculate appropriate form of the CurlCurl operator
m_mapping->CurlCurlField(fields_new, Q_field, m_implicitViscous);
// If viscous terms are treated explicitly,
// add grad(U/J \dot grad J) to CurlCurl
if ( !m_implicitViscous)
{
m_mapping->DotGradJacobian(fields_new, tmp);
Vmath::Vdiv(physTot, tmp, 1, Jac, 1, tmp, 1);
bool wavespace = m_fields[0]->GetWaveSpace();
m_fields[0]->SetWaveSpace(false);
for(int i = 0; i < m_bnd_dim; i++)
{
m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[i],
tmp, tmp2);
Vmath::Vadd(physTot, Q_field[i], 1, tmp2, 1, Q_field[i], 1);
}
m_fields[0]->SetWaveSpace(wavespace);
}
// Multiply by Jacobian and convert to wavespace (if necessary)
for(int i = 0; i < m_bnd_dim; i++)
{
Vmath::Vmul(physTot, Jac, 1, fields_new[i], 1, fields_new[i], 1);
Vmath::Vmul(physTot, Jac, 1, Q_field[i] , 1, Q_field[i] , 1);
if (m_fields[0]->GetWaveSpace())
{
m_fields[0]->HomogeneousFwdTrans(fields_new[i],fields_new[i]);
m_fields[0]->HomogeneousFwdTrans(Q_field[i],Q_field[i]);
}
}
for(int j = 0 ; j < m_HBCdata.num_elements() ; j++)
{
/// Casting the boundary expansion to the specific case
Pbc = boost::dynamic_pointer_cast<StdRegions::StdExpansion>
(m_PBndExp[m_HBCdata[j].m_bndryID]
->GetExp(m_HBCdata[j].m_bndElmtID));
/// Picking up the element where the HOPBc is located
elmt = m_pressure->GetExp(m_HBCdata[j].m_globalElmtID);
/// Assigning
for(int i = 0; i < m_bnd_dim; i++)
{
Velocity[i] = fields_new[i] + m_HBCdata[j].m_physOffset;
Advection[i] = N_new[i] + m_HBCdata[j].m_physOffset;
Q[i] = Q_field[i] + m_HBCdata[j].m_physOffset;
}
// Mounting advection component into the high-order condition
for(int i = 0; i < m_bnd_dim; i++)
{
MountHOPBCs(m_HBCdata[j].m_ptsInElmt,kinvis,Q[i],Advection[i]);
}
Pvals = m_pressureHBCs[0] + m_HBCdata[j].m_coeffOffset;
// Getting values on the edge and filling the pressure boundary
// expansion and the acceleration term. Multiplication by the
// normal is required
switch(m_pressure->GetExpType())
{
case MultiRegions::e2D:
case MultiRegions::e3DH1D:
{
elmt->GetEdgePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
Q[0], BndValues[0]);
elmt->GetEdgePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
Q[1], BndValues[1]);
// InnerProduct
Pbc->NormVectorIProductWRTBase(BndValues[0], BndValues[1],
Pvals);
}
break;
case MultiRegions::e3DH2D:
{
if(m_HBCdata[j].m_elmtTraceID == 0)
{
(m_PBndExp[m_HBCdata[j].m_bndryID]->UpdateCoeffs()
+ m_PBndExp[m_HBCdata[j].m_bndryID]
->GetCoeff_Offset(
m_HBCdata[j].m_bndElmtID))[0]
= -1.0*Q[0][0];
}
else if (m_HBCdata[j].m_elmtTraceID == 1)
{
(m_PBndExp[m_HBCdata[j].m_bndryID]->UpdateCoeffs()
+ m_PBndExp[m_HBCdata[j].m_bndryID]
->GetCoeff_Offset(
m_HBCdata[j].m_bndElmtID))[0]
= Q[0][m_HBCdata[j].m_ptsInElmt-1];
}
else
{
ASSERTL0(false,
"In the 3D homogeneous 2D approach BCs edge "
"ID can be just 0 or 1 ");
}
}
break;
case MultiRegions::e3D:
{
elmt->GetFacePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
Q[0], BndValues[0]);
elmt->GetFacePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
Q[1], BndValues[1]);
elmt->GetFacePhysVals(m_HBCdata[j].m_elmtTraceID, Pbc,
Q[2], BndValues[2]);
Pbc->NormVectorIProductWRTBase(BndValues[0], BndValues[1],
BndValues[2], Pvals);
}
break;
default:
ASSERTL0(0,"Dimension not supported");
break;
}
}
}
// If pressure terms are treated implicitly, we need to multiply
// by the relaxation parameter, and zero the correction term
if (m_implicitPressure)
{
Vmath::Smul(m_pressureHBCs[0].num_elements(), m_pressureRelaxation,
m_pressureHBCs[0], 1,
m_pressureHBCs[0], 1);
}
m_bcCorrection = Array<OneD, NekDouble> (m_pressureHBCs[0].num_elements(), 0.0);
}