virtual VEC gradW(VEC r){ return gradW(norm(r), r); };
void FilterAeroForces::v_Update(
const Array<OneD, const MultiRegions::ExpListSharedPtr> &pFields,
const NekDouble &time)
{
// Only output every m_outputFrequency.
if ((m_index++) % m_outputFrequency)
{
return;
}
int n, cnt, elmtid, nq, offset, nt, boundary;
nt = pFields[0]->GetNpoints();
int dim = pFields.num_elements()-1;
StdRegions::StdExpansionSharedPtr elmt;
Array<OneD, int> BoundarytoElmtID;
Array<OneD, int> BoundarytoTraceID;
Array<OneD, MultiRegions::ExpListSharedPtr> BndExp;
Array<OneD, const NekDouble> P(nt);
Array<OneD, const NekDouble> U(nt);
Array<OneD, const NekDouble> V(nt);
Array<OneD, const NekDouble> W(nt);
Array<OneD, Array<OneD, NekDouble> > gradU(dim);
Array<OneD, Array<OneD, NekDouble> > gradV(dim);
Array<OneD, Array<OneD, NekDouble> > gradW(dim);
Array<OneD, Array<OneD, NekDouble> > fgradU(dim);
Array<OneD, Array<OneD, NekDouble> > fgradV(dim);
Array<OneD, Array<OneD, NekDouble> > fgradW(dim);
Array<OneD, NekDouble> values;
LibUtilities::CommSharedPtr vComm = pFields[0]->GetComm();
NekDouble Fx,Fy,Fz,Fxp,Fxv,Fyp,Fyv,Fzp,Fzv;
Fxp = 0.0; // x-component of the force due to pressure difference
Fxv = 0.0; // x-component of the force due to viscous stress
Fx = 0.0; // x-component of the force (total) Fx = Fxp + Fxv (Drag)
Fyp = 0.0; // y-component of the force due to pressure difference
Fyv = 0.0; // y-component of the force due to viscous stress
Fy = 0.0; // y-component of the force (total) Fy = Fyp + Fyv (Lift)
Fzp = 0.0; // z-component of the force due to pressure difference
Fzv = 0.0; // z-component of the force due to viscous stress
Fz = 0.0; // z-component of the force (total) Fz = Fzp + Fzv (Side)
NekDouble rho = (m_session->DefinesParameter("rho"))
? (m_session->GetParameter("rho"))
: 1;
NekDouble mu = rho*m_session->GetParameter("Kinvis");
for(int i = 0; i < pFields.num_elements(); ++i)
{
pFields[i]->SetWaveSpace(false);
pFields[i]->BwdTrans(pFields[i]->GetCoeffs(),
pFields[i]->UpdatePhys());
pFields[i]->SetPhysState(true);
}
// Homogeneous 1D case Compute forces on all WALL boundaries
// This only has to be done on the zero (mean) Fourier mode.
if(m_isHomogeneous1D)
{
if(vComm->GetColumnComm()->GetRank() == 0)
{
pFields[0]->GetPlane(0)->GetBoundaryToElmtMap(
BoundarytoElmtID,BoundarytoTraceID);
BndExp = pFields[0]->GetPlane(0)->GetBndCondExpansions();
StdRegions::StdExpansion1DSharedPtr bc;
// loop over the types of boundary conditions
for(cnt = n = 0; n < BndExp.num_elements(); ++n)
{
if(m_boundaryRegionIsInList[n] == 1)
{
for(int i = 0; i < BndExp[n]->GetExpSize();
++i, cnt++)
{
// find element of this expansion.
elmtid = BoundarytoElmtID[cnt];
elmt = pFields[0]->GetPlane(0)->GetExp(elmtid);
nq = elmt->GetTotPoints();
offset = pFields[0]->GetPlane(0)->GetPhys_Offset(elmtid);
// Initialise local arrays for the velocity
// gradients size of total number of quadrature
// points for each element (hence local).
for(int j = 0; j < dim; ++j)
{
gradU[j] = Array<OneD, NekDouble>(nq,0.0);
gradV[j] = Array<OneD, NekDouble>(nq,0.0);
gradW[j] = Array<OneD, NekDouble>(nq,0.0);
}
// identify boundary of element
boundary = BoundarytoTraceID[cnt];
// Extract fields
U = pFields[0]->GetPlane(0)->GetPhys() + offset;
V = pFields[1]->GetPlane(0)->GetPhys() + offset;
P = pFields[3]->GetPlane(0)->GetPhys() + offset;
// compute the gradients
elmt->PhysDeriv(U,gradU[0],gradU[1]);
elmt->PhysDeriv(V,gradV[0],gradV[1]);
// Get face 1D expansion from element expansion
bc = boost::dynamic_pointer_cast<LocalRegions
::Expansion1D> (BndExp[n]->GetExp(i));
// number of points on the boundary
int nbc = bc->GetTotPoints();
// several vectors for computing the forces
Array<OneD, NekDouble> Pb(nbc,0.0);
for(int j = 0; j < dim; ++j)
{
fgradU[j] = Array<OneD, NekDouble>(nbc,0.0);
fgradV[j] = Array<OneD, NekDouble>(nbc,0.0);
}
Array<OneD, NekDouble> drag_t(nbc,0.0);
Array<OneD, NekDouble> lift_t(nbc,0.0);
Array<OneD, NekDouble> drag_p(nbc,0.0);
Array<OneD, NekDouble> lift_p(nbc,0.0);
Array<OneD, NekDouble> temp(nbc,0.0);
Array<OneD, NekDouble> temp2(nbc,0.0);
// identify boundary of element .
boundary = BoundarytoTraceID[cnt];
// extraction of the pressure and wss on the
// boundary of the element
elmt->GetEdgePhysVals(boundary,bc,P,Pb);
for(int j = 0; j < dim; ++j)
{
elmt->GetEdgePhysVals(boundary,bc,gradU[j],
fgradU[j]);
elmt->GetEdgePhysVals(boundary,bc,gradV[j],
fgradV[j]);
}
//normals of the element
const Array<OneD, Array<OneD, NekDouble> > &normals
= elmt->GetEdgeNormal(boundary);
//
// Compute viscous tractive forces on wall from
//
// t_i = - T_ij * n_j (minus sign for force
// exerted BY fluid ON wall),
//
// where
//
// T_ij = viscous stress tensor (here in Cartesian
// coords)
// dU_i dU_j
// = RHO * KINVIS * ( ---- + ---- ) .
// dx_j dx_i
//a) DRAG TERMS
//-rho*kinvis*(2*du/dx*nx+(du/dy+dv/dx)*ny
Vmath::Vadd(nbc,fgradU[1],1,fgradV[0],1,drag_t,1);
Vmath::Vmul(nbc,drag_t,1,normals[1],1,drag_t,1);
Vmath::Smul(nbc,2.0,fgradU[0],1,fgradU[0],1);
Vmath::Vmul(nbc,fgradU[0],1,normals[0],1,temp2,1);
Vmath::Smul(nbc,0.5,fgradU[0],1,fgradU[0],1);
Vmath::Vadd(nbc,temp2,1,drag_t,1,drag_t,1);
Vmath::Smul(nbc,-mu,drag_t,1,drag_t,1);
//zero temporary storage vector
Vmath::Zero(nbc,temp,0);
Vmath::Zero(nbc,temp2,0);
//b) LIFT TERMS
//-rho*kinvis*(2*dv/dy*nx+(du/dy+dv/dx)*nx
Vmath::Vadd(nbc,fgradU[1],1,fgradV[0],1,lift_t,1);
Vmath::Vmul(nbc,lift_t,1,normals[0],1,lift_t,1);
Vmath::Smul(nbc,2.0,fgradV[1],1,fgradV[1],1);
Vmath::Vmul(nbc,fgradV[1],1,normals[1],1,temp2,1);
Vmath::Smul(nbc,-0.5,fgradV[1],1,fgradV[1],1);
Vmath::Vadd(nbc,temp2,1,lift_t,1,lift_t,1);
Vmath::Smul(nbc,-mu,lift_t,1,lift_t,1);
// Compute normal tractive forces on all WALL
// boundaries
Vmath::Vvtvp(nbc,Pb,1,normals[0],1,
drag_p,1,drag_p, 1);
Vmath::Vvtvp(nbc,Pb,1,normals[1],1,
lift_p,1,lift_p,1);
//integration over the boundary
Fxv += bc->Integral(drag_t);
Fyv += bc->Integral(lift_t);
Fxp += bc->Integral(drag_p);
Fyp += bc->Integral(lift_p);
}
}
else
{
cnt += BndExp[n]->GetExpSize();
}
}
}
for(int i = 0; i < pFields.num_elements(); ++i)
{
pFields[i]->SetWaveSpace(true);
pFields[i]->BwdTrans(pFields[i]->GetCoeffs(),
pFields[i]->UpdatePhys());
pFields[i]->SetPhysState(false);
}
}
//3D WALL case
else if(dim==3 && !m_isHomogeneous1D)
{
pFields[0]->GetBoundaryToElmtMap(BoundarytoElmtID,
BoundarytoTraceID);
BndExp = pFields[0]->GetBndCondExpansions();
LocalRegions::Expansion2DSharedPtr bc;
// loop over the types of boundary conditions
for(cnt = n = 0; n < BndExp.num_elements(); ++n)
{
if(m_boundaryRegionIsInList[n] == 1)
{
for(int i = 0; i < BndExp[n]->GetExpSize(); ++i, cnt++)
{
// find element of this expansion.
elmtid = BoundarytoElmtID[cnt];
elmt = pFields[0]->GetExp(elmtid);
nq = elmt->GetTotPoints();
offset = pFields[0]->GetPhys_Offset(elmtid);
// Initialise local arrays for the velocity
// gradients size of total number of quadrature
// points for each element (hence local).
for(int j = 0; j < dim; ++j)
{
gradU[j] = Array<OneD, NekDouble>(nq,0.0);
gradV[j] = Array<OneD, NekDouble>(nq,0.0);
gradW[j] = Array<OneD, NekDouble>(nq,0.0);
}
//identify boundary of element
boundary = BoundarytoTraceID[cnt];
//Extract fields
U = pFields[0]->GetPhys() + offset;
V = pFields[1]->GetPhys() + offset;
W = pFields[2]->GetPhys() + offset;
P = pFields[3]->GetPhys() + offset;
//compute the gradients
elmt->PhysDeriv(U,gradU[0],gradU[1],gradU[2]);
elmt->PhysDeriv(V,gradV[0],gradV[1],gradV[2]);
elmt->PhysDeriv(W,gradW[0],gradW[1],gradW[2]);
// Get face 2D expansion from element expansion
bc = boost::dynamic_pointer_cast<LocalRegions
::Expansion2D> (BndExp[n]->GetExp(i));
//number of points on the boundary
int nbc = bc->GetTotPoints();
//several vectors for computing the forces
Array<OneD, NekDouble> Pb(nbc,0.0);
for(int j = 0; j < dim; ++j)
{
fgradU[j] = Array<OneD, NekDouble>(nbc,0.0);
fgradV[j] = Array<OneD, NekDouble>(nbc,0.0);
fgradW[j] = Array<OneD, NekDouble>(nbc,0.0);
}
Array<OneD, NekDouble> drag_t(nbc,0.0);
Array<OneD, NekDouble> lift_t(nbc,0.0);
Array<OneD, NekDouble> side_t(nbc,0.0);
Array<OneD, NekDouble> drag_p(nbc,0.0);
Array<OneD, NekDouble> lift_p(nbc,0.0);
Array<OneD, NekDouble> side_p(nbc,0.0);
Array<OneD, NekDouble> temp(nbc,0.0);
Array<OneD, NekDouble> temp2(nbc,0.0);
// identify boundary of element .
boundary = BoundarytoTraceID[cnt];
// extraction of the pressure and wss on the
// boundary of the element
elmt->GetFacePhysVals(boundary,bc,P,Pb);
for(int j = 0; j < dim; ++j)
{
elmt->GetFacePhysVals(boundary,bc,gradU[j],
fgradU[j]);
elmt->GetFacePhysVals(boundary,bc,gradV[j],
fgradV[j]);
elmt->GetFacePhysVals(boundary,bc,gradW[j],
fgradW[j]);
}
// normals of the element
const Array<OneD, Array<OneD, NekDouble> > &normals
= elmt->GetFaceNormal(boundary);
//
// Compute viscous tractive forces on wall from
//
// t_i = - T_ij * n_j (minus sign for force
// exerted BY fluid ON wall),
//
// where
//
// T_ij = viscous stress tensor (here in Cartesian
// coords)
// dU_i dU_j
// = RHO * KINVIS * ( ---- + ---- ) .
// dx_j dx_i
//a) DRAG TERMS
//-rho*kinvis*
// (2*du/dx*nx+(du/dy+dv/dx)*ny+(du/dz+dw/dx)*nz)
Vmath::Vadd(nbc,fgradU[2],1,fgradW[0],1,temp,1);
Vmath::Neg(nbc,temp,1);
Vmath::Vmul(nbc,temp,1,normals[2],1,temp,1);
Vmath::Vadd(nbc,fgradU[1],1,fgradV[0],1,drag_t,1);
Vmath::Neg(nbc,drag_t,1);
Vmath::Vmul(nbc,drag_t,1,normals[1],1,drag_t,1);
Vmath::Smul(nbc,-2.0,fgradU[0],1,fgradU[0],1);
Vmath::Vmul(nbc,fgradU[0],1,normals[0],1,temp2,1);
Vmath::Smul(nbc,-0.5,fgradU[0],1,fgradU[0],1);
Vmath::Vadd(nbc,temp,1,temp2,1,temp,1);
Vmath::Vadd(nbc,temp,1,drag_t,1,drag_t,1);
Vmath::Smul(nbc,mu,drag_t,1,drag_t,1);
//zero temporary storage vector
Vmath::Zero(nbc,temp,0);
Vmath::Zero(nbc,temp2,0);
//b) LIFT TERMS
//-rho*kinvis*
// (2*dv/dy*nx+(du/dy+dv/dx)*nx+(dv/dz+dw/dy)*nz)
Vmath::Vadd(nbc,fgradV[2],1,fgradW[1],1,temp,1);
Vmath::Neg(nbc,temp,1);
Vmath::Vmul(nbc,temp,1,normals[2],1,temp,1);
Vmath::Vadd(nbc,fgradU[1],1,fgradV[0],1,lift_t,1);
Vmath::Neg(nbc,lift_t,1);
Vmath::Vmul(nbc,lift_t,1,normals[0],1,lift_t,1);
Vmath::Smul(nbc,-2.0,fgradV[1],1,fgradV[1],1);
Vmath::Vmul(nbc,fgradV[1],1,normals[1],1,temp2,1);
Vmath::Smul(nbc,-0.5,fgradV[1],1,fgradV[1],1);
Vmath::Vadd(nbc,temp,1,temp2,1,temp,1);
Vmath::Vadd(nbc,temp,1,lift_t,1,lift_t,1);
Vmath::Smul(nbc,mu,lift_t,1,lift_t,1);
//zero temporary storage vector
Vmath::Zero(nbc,temp,0);
Vmath::Zero(nbc,temp2,0);
//b) SIDE TERMS
//-rho*kinvis*
// (2*dv/dy*nx+(du/dy+dv/dx)*nx+(dv/dz+dw/dy)*nz)
Vmath::Vadd(nbc,fgradV[2],1,fgradW[1],1,temp,1);
Vmath::Neg(nbc,temp,1);
Vmath::Vmul(nbc,temp,1,normals[1],1,temp,1);
Vmath::Vadd(nbc,fgradU[2],1,fgradW[0],1,side_t,1);
Vmath::Neg(nbc,side_t,1);
Vmath::Vmul(nbc,side_t,1,normals[0],1,side_t,1);
Vmath::Smul(nbc,-2.0,fgradW[2],1,fgradW[2],1);
Vmath::Vmul(nbc,fgradW[2],1,normals[2],1,temp2,1);
Vmath::Smul(nbc,-0.5,fgradW[2],1,fgradW[2],1);
Vmath::Vadd(nbc,temp,1,temp2,1,temp,1);
Vmath::Vadd(nbc,temp,1,side_t,1,side_t,1);
Vmath::Smul(nbc,mu,side_t,1,side_t,1);
// Compute normal tractive forces on all WALL
// boundaries
Vmath::Vvtvp(nbc,Pb,1,normals[0],1,
drag_p,1,drag_p,1);
Vmath::Vvtvp(nbc,Pb,1,normals[1],1,
lift_p,1,lift_p,1);
Vmath::Vvtvp(nbc,Pb,1,normals[2],1,
side_p,1,side_p,1);
//integration over the boundary
Fxv += bc->Expansion::Integral(drag_t);
Fyv += bc->Expansion::Integral(lift_t);
Fzv += bc->Expansion::Integral(side_t);
Fxp += bc->Expansion::Integral(drag_p);
Fyp += bc->Expansion::Integral(lift_p);
Fzp += bc->Expansion::Integral(side_p);
}
}
else
{
cnt += BndExp[n]->GetExpSize();
}
}
}
//2D WALL Condition
else
{
pFields[0]->GetBoundaryToElmtMap(BoundarytoElmtID,
BoundarytoTraceID);
BndExp = pFields[0]->GetBndCondExpansions();
StdRegions::StdExpansion1DSharedPtr bc;
// loop over the types of boundary conditions
for(cnt = n = 0; n < BndExp.num_elements(); ++n)
{
if(m_boundaryRegionIsInList[n] == 1)
{
for(int i = 0; i < BndExp[n]->GetExpSize(); ++i, cnt++)
{
elmtid = BoundarytoElmtID[cnt];
elmt = pFields[0]->GetExp(elmtid);
nq = elmt->GetTotPoints();
offset = pFields[0]->GetPhys_Offset(elmtid);
for(int j = 0; j < dim; ++j)
{
gradU[j] = Array<OneD, NekDouble>(nq,0.0);
gradV[j] = Array<OneD, NekDouble>(nq,0.0);
}
boundary = BoundarytoTraceID[cnt];
U = pFields[0]->GetPhys() + offset;
V = pFields[1]->GetPhys() + offset;
P = pFields[2]->GetPhys() + offset;
elmt->PhysDeriv(U,gradU[0],gradU[1]);
elmt->PhysDeriv(V,gradV[0],gradV[1]);
bc = boost::dynamic_pointer_cast<LocalRegions
::Expansion1D> (BndExp[n]->GetExp(i));
int nbc = bc->GetTotPoints();
Array<OneD, NekDouble> Pb(nbc,0.0);
Array<OneD, NekDouble> drag_t(nbc,0.0);
Array<OneD, NekDouble> lift_t(nbc,0.0);
Array<OneD, NekDouble> drag_p(nbc,0.0);
Array<OneD, NekDouble> lift_p(nbc,0.0);
Array<OneD, NekDouble> temp(nbc,0.0);
boundary = BoundarytoTraceID[cnt];
elmt->GetEdgePhysVals(boundary,bc,P,Pb);
for(int j = 0; j < dim; ++j)
{
fgradU[j] = Array<OneD, NekDouble>(nbc,0.0);
fgradV[j] = Array<OneD, NekDouble>(nbc,0.0);
}
for(int j = 0; j < dim; ++j)
{
elmt->GetEdgePhysVals(boundary,bc,gradU[j],
fgradU[j]);
elmt->GetEdgePhysVals(boundary,bc,gradV[j],
fgradV[j]);
}
const Array<OneD, Array<OneD, NekDouble> > &normals
= elmt->GetEdgeNormal(boundary);
Vmath::Vadd(nbc,fgradU[1],1,fgradV[0],1,drag_t,1);
Vmath::Neg(nbc,drag_t,1);
Vmath::Vmul(nbc,drag_t,1,normals[1],1,drag_t,1);
Vmath::Smul(nbc,-2.0,fgradU[0],1,fgradU[0],1);
Vmath::Vmul(nbc,fgradU[0],1,normals[0],1,temp,1);
Vmath::Vadd(nbc,temp,1,drag_t,1,drag_t,1);
Vmath::Smul(nbc,mu,drag_t,1,drag_t,1);
Vmath::Vadd(nbc,fgradU[1],1,fgradV[0],1,lift_t,1);
Vmath::Neg(nbc,lift_t,1);
Vmath::Vmul(nbc,lift_t,1,normals[0],1,lift_t,1);
Vmath::Smul(nbc,-2.0,fgradV[1],1,fgradV[1],1);
Vmath::Vmul(nbc,fgradV[1],1,normals[1],1,temp,1);
Vmath::Vadd(nbc,temp,1,lift_t,1,lift_t,1);
Vmath::Smul(nbc,mu,lift_t,1,lift_t,1);
Vmath::Vvtvp(nbc,Pb,1,normals[0],1,
drag_p,1,drag_p,1);
Vmath::Vvtvp(nbc,Pb,1,normals[1],1,
lift_p,1,lift_p,1);
Fxp += bc->Integral(drag_p);
Fyp += bc->Integral(lift_p);
Fxv += bc->Integral(drag_t);
Fyp += bc->Integral(lift_t);
}
}
else
{
cnt += BndExp[n]->GetExpSize();
}
}
}
vComm->AllReduce(Fxp, LibUtilities::ReduceSum);
vComm->AllReduce(Fxv, LibUtilities::ReduceSum);
Fx = Fxp + Fxv;
vComm->AllReduce(Fyp, LibUtilities::ReduceSum);
vComm->AllReduce(Fyv, LibUtilities::ReduceSum);
Fy = Fyp + Fyv;
vComm->AllReduce(Fzp, LibUtilities::ReduceSum);
vComm->AllReduce(Fzv, LibUtilities::ReduceSum);
Fz = Fzp + Fzv;
if (vComm->GetRank() == 0)
{
m_outputStream.width(8);
m_outputStream << setprecision(6) << time;
m_outputStream.width(25);
m_outputStream << setprecision(8) << Fxp;
m_outputStream.width(25);
m_outputStream << setprecision(8) << Fxv;
m_outputStream.width(25);
m_outputStream << setprecision(8) << Fx;
m_outputStream.width(25);
m_outputStream << setprecision(8) << Fyp;
m_outputStream.width(25);
m_outputStream << setprecision(8) << Fyv;
m_outputStream.width(25);
m_outputStream << setprecision(8) << Fy;
m_outputStream.width(25);
m_outputStream << setprecision(8) << Fzp;
m_outputStream.width(25);
m_outputStream << setprecision(8) << Fzv;
m_outputStream.width(25);
m_outputStream << setprecision(8) << Fz;
m_outputStream << endl;
}
}