Esempio n. 1
0
// * * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * * * //
void Foam::CantPopeBray::update()
{
  Info<<"Updating Sigma Source terms"<<endl;

  volVectorField M(fvc::grad(b_));
  volScalarField mgb_ = mag(M);

  dimensionedScalar dSigma = 1.0e-3*
    (b_* (scalar(1.0) - b_) * mgb_)().weightedAverage(rho_.mesh().V())
    /((b_ * (scalar(1.0) - b_))().weightedAverage(rho_.mesh().V()) + SMALL)
    + dimensionedScalar("dSig", Sigma_.dimensions(), SMALL);

  M /= (max(Sigma_, mgb_) + dSigma);

  volScalarField magM = mag(M);

  // M /= Sigma_ + dimensionedScalar("tol", dimless/dimLength, 1e-2);
  // M /= (magM + dimensionedScalar("tol", dimless/dimLength, SMALL));

  volScalarField orientationFactor = scalar(1.0) - (M & M);
  orientationFactor.max(0.0);
  orientationFactor.min(1.0);
  Info<< "min(alpha) = " << min(orientationFactor).value() << endl;

  volTensorField A_ = I * (1.0 - orientationFactor / 3.0) - (M * M);
  volTensorField gradU(fvc::grad(U_));

  volScalarField R_ = b_ * turbulence_.epsilon() /
    (Sigma_ * Su_ * turbulence_.k() + 
     dimensionedScalar("tol", sqr(dimVelocity)/dimTime, SMALL));

  volScalarField nu = (thermo_.muu() / thermo_.rhou() * b_ +
		       thermo_.mub() / thermo_.rhob() * (1.0 - b_));

  volScalarField P1 = rho_ * alphaSigma_ * orientationFactor *
    sqrt(turbulence_.epsilon() / nu);
  
  volScalarField P2 = rho_ * (A_ && gradU);

  ProdRateForSigma_ = P1 + P2;

  DestrRateForSigma_ = rho_ * betaSigma_ * orientationFactor / 3.0 *
    (2.0 + exp(-aCoeff_*R_)) * Su_ * Sigma_ / (b_ + SMALL);
}
Esempio n. 2
0
        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;
            }
        }
// * * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * * * //
void Foam::coherentFlameModel2b::update()
{
  Info<<"Updating Sigma Source terms"<<endl;

  volVectorField M(fvc::grad(b_));
  volScalarField mgb_ = mag(M);

  dimensionedScalar dSigma = 1.0e-3*
    (b_* (scalar(1.0) - b_) * mgb_)().weightedAverage(rho_.mesh().V())
    /((b_ * (scalar(1.0) - b_))().weightedAverage(rho_.mesh().V()) + SMALL)
    + dimensionedScalar("dSig", Sigma_.dimensions(), SMALL);

  M /= (max(Sigma_, mgb_) + dSigma);

  // volScalarField magM = mag(M);
  // M /= Sigma_ + dimensionedScalar("tol", dimless/dimLength, SMALL);
  // M /= (magM + dimensionedScalar("tol", dimless/dimLength, SMALL));

  volScalarField orientationFactor = scalar(1.0) - (M & M);
  orientationFactor.max(0.0);
  orientationFactor.min(1.0);

  volTensorField A_ = I * (1.0 - orientationFactor / 3.0) - (M * M);
  volTensorField gradU(fvc::grad(U_));

  volScalarField up(sqrt((2.0/3.0)*turbulence_.k()));
  
  //Efficiency function from the ITNFS model
  volScalarField GammaK("GammaK", rho_/rho_);

  scalar T1 = min(thermo_.Tu()).value();
  scalar T2 = max(thermo_.Tb()).value();

  volScalarField deltaL(2.0 * thermo_.alpha() / thermo_.rhou() / 
			Su_ * pow(T2/T1, 0.7));

  volScalarField lt(Clt_ * pow(up, 3) / (turbulence_.epsilon() + 
					 dimensionedScalar("tol", 
				         pow(dimVelocity,2)/dimTime, SMALL)));

  volScalarField lRatio(lt / deltaL);
  volScalarField uRatio(up / Su_);

  volScalarField s = max
    (
       log10 (lRatio),
       scalar(-0.4+SMALL)
    );

  if(fittedGammaK_){
    GammaK = 0.75 * exp(-1.2 / pow(uRatio, 0.3)) * pow(lRatio, 2.0/3.0);
  } else {
    volScalarField sigma1 = 2.0 / 3.0 * 
      (1.0 - 0.5 * exp(-pow(uRatio, 1.0/3.0)));
    volScalarField r = -exp(-(s+0.4)) / (s+0.4) + 
      (1.0 - exp(-(s+0.4))) * (sigma1 * s - 0.11);
    
    GammaK = pow(10.0, r);
  }

  if(quenchingCoeff_ != 0.0){
    volScalarField g = (0.7 + 1.0 / s) * exp(-s) + 
      (1.0 - exp(-s)) * (1.0 + 0.36 * s);
    volScalarField x = (log10 (uRatio) - g) / s / 0.04;
    volScalarField Pq = 0.5 * (1.0 + tanh (sign(x) * x * x));
    
    GammaK -= quenchingCoeff_ * 1.5 * lRatio / uRatio * log (1.0 / (1.0 - Pq));
  }

  volScalarField P1 = rho_ * alphaSigma_ * GammaK * turbulence_.epsilon() / 
    (turbulence_.k() + dimensionedScalar("tol", pow(dimVelocity,2), SMALL));
  
  volScalarField P2 = rho_ * (A_ && gradU);

  ProdRateForSigma_ = P1 + P2;

  DestrRateForSigma_ = rho_ * betaSigma_ * 
    (Su_ + CSigma_ * sqrt(3.0/2.0) * up) * Sigma_/(b_ * (1.0 - b_) + SMALL);

}
    }

    // Collect patches involved in contact
    boolList contactPatches(Upatches.size(), false);

    forAll (contacts, contactI)
    {
        contactPatches[contacts[contactI].masterPatch().index()] = true;
        contactPatches[contacts[contactI].slavePatch().index()] = true;
    }

    // Calculate the traction for all involved patches

    // Collect fields
    const volTensorField::GeometricBoundaryField& gradUpatches =
        gradU().boundaryField();

    const surfaceVectorField::GeometricBoundaryField& Apatches =
        mesh().Sf().boundaryField();
    const surfaceScalarField::GeometricBoundaryField& magApatches =
        mesh().magSf().boundaryField();

    // Lookup mu and lambda form object registry
    const volScalarField& mu =
        mesh().objectRegistry::lookupObject<volScalarField>("mu");

    const volScalarField::GeometricBoundaryField& muPatches =
        mu.boundaryField();

    const volScalarField& lambda =
        mesh().objectRegistry::lookupObject<volScalarField>("lambda");
double evqualitygrad(double *X, double* theta,const int *ik,const int *jk,int angle_num,int angle_index,int dim,int ndata)
{                   
    /* build V,U,A */
    double* matret=new double[dim*dim];
    double* U1=new double[dim*dim];
    double* U2=new double[dim*dim];
    double* A=new double[ndata*dim];
    double* matrot=new double[ndata*dim]; 
	double *max_values = new double[ndata];
    int *max_index = new int[ndata];
	double dJ=0, tmp1, tmp2;
	double* p_A;
	double *p_Y;
    /* find max of each row */
	MatrixInitZeros(matret,dim,dim);
	MatrixInitZeros(U1,dim,dim);
	MatrixInitZeros(U2,dim,dim);
	MatrixInitZeros(A,ndata,dim);
	MatrixInitZeros(matrot,ndata,dim);
	MatrixInitZeros(max_values,ndata,1);
	MatrixInitZeros(max_index,ndata,1);
    int i,j, ind = 0;
	
	//getchar();
    gradU(theta,angle_index,ik,jk,dim,matret);
    /**/

	//getchar();
    build_Uab(theta,0,angle_index-1,ik,jk,dim,U1);
	/**/

	/**/
    build_Uab(theta,angle_index+1,angle_num-1,ik,jk,dim,U2);


    buildA(X,U1,matret,U2,A,ndata,dim);
   
	
    /* rotate vecs according to current angles */   
    rotate_givens(X,theta,ik,jk,angle_num,ndata,dim,matrot);
	p_Y=matrot; 

	MaxRowColumnAbsValue(p_Y,max_values,max_index,ndata,dim,1);

    /* compute gradient */
    ind = 0;
	dJ=0;
	for( i=0; i<ndata; i++ )
	{ /* loop over all rows */
		p_A=(double*)(A+i*dim);
		p_Y=(double*)(matrot+i*dim);
		for( j=0; j<dim; j++ )
		{  /* loop over all columns */

            tmp1 = p_A[j] * p_Y[j] / (max_values[i]*max_values[i]);
            tmp2 = p_A[max_index[i]]*(p_Y[j]*p_Y[j])/(max_values[i]*max_values[i]*max_values[i]);
            dJ += tmp1-tmp2;
        }
    }
    dJ = 2*dJ/ndata/dim;
    delete []max_values;
    delete []max_index;
   	delete []matrot;
   	delete []matret;
   	delete []U2;
   	delete []U1;
    delete []A;
    return dJ;
};