Ejemplo n.º 1
0
void FilterElectrogram::v_Update(
    const Array<OneD, const MultiRegions::ExpListSharedPtr> &pFields,
    const NekDouble &time)
{
    // Only output every m_outputFrequency.
    if ((m_index++) % m_outputFrequency)
    {
        return;
    }

    const unsigned int nq = pFields[0]->GetNpoints();
    const unsigned int npoints = m_electrogramPoints.size();
    LibUtilities::CommSharedPtr vComm = pFields[0]->GetComm();

    unsigned int i = 0;
    Array<OneD, NekDouble> e(npoints);

    // Compute grad V
    Array<OneD, NekDouble> grad_V_x(nq), grad_V_y(nq), grad_V_z(nq);
    pFields[0]->PhysDeriv(pFields[0]->GetPhys(),
                          grad_V_x, grad_V_y, grad_V_z);

    for (i = 0; i < npoints; ++i)
    {
        // Multiply together
        Array<OneD, NekDouble> output(nq);
        Vmath::Vvtvvtp(nq, m_grad_R_x[i], 1, grad_V_x, 1, m_grad_R_y[i], 1,
                       grad_V_y,      1, output,   1);
        Vmath::Vvtvp  (nq, m_grad_R_z[i], 1, grad_V_z, 1, output, 1,
                       output,        1);

        e[i] = pFields[0]->Integral(output);
    }

    // Exchange history data
    // This could be improved to reduce communication but works for now
    vComm->AllReduce(e, LibUtilities::ReduceSum);

    // Only the root process writes out electrogram data
    if (vComm->GetRank() == 0)
    {
        m_outputStream.width(8);
        m_outputStream << setprecision(6) << time;

        // Write data values point by point
        for (i = 0; i < m_electrogramPoints.size(); ++i)
        {
            m_outputStream.width(25);
            m_outputStream << setprecision(16) << e[i];
        }
        m_outputStream << endl;
    }
}
Ejemplo n.º 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;
            }
        }
Ejemplo n.º 3
0
        void FilterAeroForces::v_Initialise(
            const Array<OneD, const MultiRegions::ExpListSharedPtr> &pFields,
            const NekDouble &time)
        {
            // Parse the boundary regions into a list.
            std::string::size_type FirstInd =
                                    m_BoundaryString.find_first_of('[') + 1;
            std::string::size_type LastInd =
                                    m_BoundaryString.find_last_of(']') - 1;

            ASSERTL0(FirstInd <= LastInd,
                    (std::string("Error reading boundary region definition:") +
                     m_BoundaryString).c_str());

            std::string IndString =
                    m_BoundaryString.substr(FirstInd, LastInd - FirstInd + 1);
            bool parseGood = ParseUtils::GenerateSeqVector(IndString.c_str(),
                                                       m_boundaryRegionsIdList);
            ASSERTL0(parseGood && !m_boundaryRegionsIdList.empty(),
                     (std::string("Unable to read boundary regions index "
                      "range for FilterAeroForces: ") + IndString).c_str());

            // determine what boundary regions need to be considered
            int cnt;
            unsigned int numBoundaryRegions =
                                pFields[0]->GetBndConditions().num_elements();
            m_boundaryRegionIsInList.insert(m_boundaryRegionIsInList.end(),
                                            numBoundaryRegions, 0);

            SpatialDomains::BoundaryConditions bcs(m_session,
                                                    pFields[0]->GetGraph());
            const SpatialDomains::BoundaryRegionCollection &bregions =
                                                    bcs.GetBoundaryRegions();
            SpatialDomains::BoundaryRegionCollection::const_iterator it;

            for (cnt = 0, it = bregions.begin(); it != bregions.end();
                    ++it, cnt++)
            {
                if ( std::find(m_boundaryRegionsIdList.begin(),
                               m_boundaryRegionsIdList.end(), it->first) !=
                        m_boundaryRegionsIdList.end() )
                {
                    m_boundaryRegionIsInList[cnt] = 1;
                }
            }

            LibUtilities::CommSharedPtr vComm = pFields[0]->GetComm();

            if (vComm->GetRank() == 0)
            {
                // Open output stream
                m_outputStream.open(m_outputFile.c_str());
                m_outputStream << "#";
                m_outputStream.width(7);
                m_outputStream << "Time";
                m_outputStream.width(25);
                m_outputStream << "Fx (press)";
                m_outputStream.width(25);
                m_outputStream << "Fx (visc)";
                m_outputStream.width(25);
                m_outputStream << "Fx (tot)";
                m_outputStream.width(25);
                m_outputStream << "Fy (press)";
                m_outputStream.width(25);
                m_outputStream << "Fy (visc)";
                m_outputStream.width(25);
                m_outputStream << "Fy (tot)";
                m_outputStream.width(25);
                m_outputStream << "Fz (press)";
                m_outputStream.width(25);
                m_outputStream << "Fz (visc)";
                m_outputStream.width(25);
                m_outputStream << "Fz (tot)";
                m_outputStream << endl;
            }

            v_Update(pFields, time);
        }
Ejemplo n.º 4
0
int main(int argc, char *argv[])
{
    LibUtilities::SessionReaderSharedPtr vSession
            = LibUtilities::SessionReader::CreateInstance(argc, argv);

    LibUtilities::CommSharedPtr vComm = vSession->GetComm();

    MultiRegions::DisContField3DSharedPtr Exp,Fce;
    int     i, nq, coordim;
    Array<OneD,NekDouble>  fce;
    Array<OneD,NekDouble>  xc0,xc1,xc2;
    StdRegions::ConstFactorMap factors;

    if(argc < 2)
    {
        fprintf(stderr,"Usage: PostProcHDG3D  meshfile [solntype]\n");
        exit(1);
    }

    //----------------------------------------------
    // Read in mesh from input file
    SpatialDomains::MeshGraphSharedPtr graph3D = MemoryManager<SpatialDomains::MeshGraph3D>::AllocateSharedPtr(vSession);
    //----------------------------------------------

    //----------------------------------------------
    // Print summary of solution details
    factors[StdRegions::eFactorLambda] = vSession->GetParameter("Lambda");
    factors[StdRegions::eFactorTau] = 1.0;
    const SpatialDomains::ExpansionMap &expansions = graph3D->GetExpansions();
    LibUtilities::BasisKey bkey0
                            = expansions.begin()->second->m_basisKeyVector[0];

	//MAY NEED ADJUSTMENT FOR VARIOUS ELEMENT TYPES
	int num_modes = bkey0.GetNumModes();
	int num_points = bkey0.GetNumPoints();

    if (vComm->GetRank() == 0)
    {
        cout << "Solving 3D Helmholtz:"  << endl;
        cout << "         Lambda     : " << factors[StdRegions::eFactorLambda] << endl;
        cout << "         No. modes  : " << num_modes << endl;
        cout << "         No. points : " << num_points << endl;
        cout << endl;
    }

    //----------------------------------------------
    // Define Expansion
    //----------------------------------------------
    Exp = MemoryManager<MultiRegions::DisContField3D>::
        AllocateSharedPtr(vSession,graph3D,vSession->GetVariable(0));
    //----------------------------------------------
    Timing("Read files and define exp ..");

    //----------------------------------------------
    // Set up coordinates of mesh for Forcing function evaluation
    coordim = Exp->GetCoordim(0);
    nq      = Exp->GetTotPoints();

    xc0 = Array<OneD,NekDouble>(nq,0.0);
    xc1 = Array<OneD,NekDouble>(nq,0.0);
    xc2 = Array<OneD,NekDouble>(nq,0.0);

    switch(coordim)
    {
    case 1:
        Exp->GetCoords(xc0);
        break;
    case 2:
        Exp->GetCoords(xc0,xc1);
        break;
    case 3:
        Exp->GetCoords(xc0,xc1,xc2);
        break;
    }
    //----------------------------------------------

    //----------------------------------------------
    // Define forcing function for first variable defined in file
    fce = Array<OneD,NekDouble>(nq);
    LibUtilities::EquationSharedPtr ffunc
                                    = vSession->GetFunction("Forcing", 0);

    ffunc->Evaluate(xc0, xc1, xc2, fce);

    //----------------------------------------------


    //----------------------------------------------
    // Setup expansion containing the  forcing function
    Fce = MemoryManager<MultiRegions::DisContField3D>::AllocateSharedPtr(*Exp);
    Fce->SetPhys(fce);
    //----------------------------------------------
    Timing("Define forcing ..");

    //----------------------------------------------
    // Helmholtz solution taking physical forcing
    Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), NullFlagList, factors);
    //----------------------------------------------

    Timing("Helmholtz Solve ..");

    //-----------------------------------------------
    // Backward Transform Solution to get solved values at
    Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys());
    //-----------------------------------------------
    Timing("Backward Transform ..");

    //-----------------------------------------------
    // Write solution to file
    //string out = vSession->GetSessionName() + ".fld";
    //std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef
    //    = Exp->GetFieldDefinitions();
    //std::vector<std::vector<NekDouble> > FieldData(FieldDef.size());

    //for(i = 0; i < FieldDef.size(); ++i)
    //{
    //    FieldDef[i]->m_fields.push_back("u");
    //    Exp->AppendFieldData(FieldDef[i], FieldData[i]);
    //}
    //LibUtilities::Write(out, FieldDef, FieldData);
    //--------------------------------------------        
    //-----------------------------------------------
    // See if there is an exact solution, if so
    // evaluate and plot errors
    LibUtilities::EquationSharedPtr ex_sol =
        vSession->GetFunction("ExactSolution", 0);

	//----------------------------------------------
	// evaluate exact solution
	ex_sol->Evaluate(xc0, xc1, xc2, fce);

	//----------------------------------------------

	//Tetrahedron
	const LibUtilities::PointsKey PkeyT1(num_points+1,LibUtilities::eGaussLobattoLegendre);
	const LibUtilities::PointsKey PkeyT2(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);//need to doublecheck this one
	const LibUtilities::PointsKey PkeyT3(num_points,LibUtilities::eGaussRadauMAlpha2Beta0);//need to doublecheck this one
	LibUtilities::BasisKeyVector  BkeyT;
	BkeyT.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyT1));
	BkeyT.push_back(LibUtilities::BasisKey(LibUtilities::eModified_B, num_modes+1, PkeyT2));
	BkeyT.push_back(LibUtilities::BasisKey(LibUtilities::eModified_C, num_modes+1, PkeyT3));
	//Prism
	const LibUtilities::PointsKey PkeyP1(num_points+1,LibUtilities::eGaussLobattoLegendre);
	const LibUtilities::PointsKey PkeyP2(num_points+1,LibUtilities::eGaussLobattoLegendre);
	const LibUtilities::PointsKey PkeyP3(num_points,LibUtilities::eGaussRadauMAlpha1Beta0);//need to doublecheck this one
	LibUtilities::BasisKeyVector  BkeyP;
	BkeyP.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyP1));
	BkeyP.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyP2));
	BkeyP.push_back(LibUtilities::BasisKey(LibUtilities::eModified_B, num_modes+1, PkeyP3));
	//Hexahedron
	const LibUtilities::PointsKey PkeyH(num_points+1,LibUtilities::eGaussLobattoLegendre);
	LibUtilities::BasisKeyVector  BkeyH;
	BkeyH.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyH));
	BkeyH.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyH));
	BkeyH.push_back(LibUtilities::BasisKey(LibUtilities::eModified_A, num_modes+1, PkeyH));


	graph3D->SetBasisKey(LibUtilities::eTetrahedron, BkeyT);
	graph3D->SetBasisKey(LibUtilities::ePrism, BkeyP);
	graph3D->SetBasisKey(LibUtilities::eHexahedron, BkeyH);

	MultiRegions::DisContField3DSharedPtr PostProc = 
		MemoryManager<MultiRegions::DisContField3D>::AllocateSharedPtr(vSession,graph3D,vSession->GetVariable(0));

	int ErrorCoordim = PostProc->GetCoordim(0);
	int ErrorNq      = PostProc->GetTotPoints();

	Array<OneD,NekDouble> ErrorXc0(ErrorNq,0.0);
	Array<OneD,NekDouble> ErrorXc1(ErrorNq,0.0);
	Array<OneD,NekDouble> ErrorXc2(ErrorNq,0.0);

	switch(ErrorCoordim)
	{
		case 1:
			PostProc->GetCoords(ErrorXc0);
			break;
		case 2:
			PostProc->GetCoords(ErrorXc0,ErrorXc1);
			break;
		case 3:
			PostProc->GetCoords(ErrorXc0,ErrorXc1,ErrorXc2);
			break;
	}
        
        
	// evaluate exact solution 
	Array<OneD,NekDouble> ppSol(ErrorNq);
	ex_sol->Evaluate(ErrorXc0,ErrorXc1,ErrorXc2,ppSol);

	// calcualte spectral/hp approximation on the quad points of this new
	// expansion basis
	std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef 
		= Exp->GetFieldDefinitions();
	std::vector<std::vector<NekDouble> > FieldData(FieldDef.size());
	std::string fieldstr = "u";

	for(i = 0; i < FieldDef.size(); ++i)
	{
		FieldDef[i]->m_fields.push_back(fieldstr);
		Exp->AppendFieldData(FieldDef[i], FieldData[i]);
		PostProc->ExtractDataToCoeffs(FieldDef[i],FieldData[i],fieldstr,PostProc->UpdateCoeffs());
	}

	// Interpolation of trace 
	std::vector<LibUtilities::FieldDefinitionsSharedPtr> TraceDef 
		= Exp->GetTrace()->GetFieldDefinitions();
	std::vector<std::vector<NekDouble> > TraceData(TraceDef.size());
	for(i = 0; i < TraceDef.size(); ++i)
	{
		TraceDef[i]->m_fields.push_back(fieldstr);
		Exp->GetTrace()->AppendFieldData(TraceDef[i], TraceData[i]);
		PostProc->GetTrace()->ExtractDataToCoeffs(TraceDef[i],TraceData[i],fieldstr,PostProc->GetTrace()->UpdateCoeffs());
	}
        
	PostProc->BwdTrans_IterPerExp(PostProc->GetCoeffs(),PostProc->UpdatePhys());

	PostProc->EvaluateHDGPostProcessing(PostProc->UpdateCoeffs());
	PostProc->BwdTrans_IterPerExp(PostProc->GetCoeffs(),PostProc->UpdatePhys());
	
	NekDouble vLinfError = Exp->Linf(Exp->GetPhys(), fce);
	NekDouble vL2Error   = Exp->L2  (Exp->GetPhys(), fce);
	NekDouble L2ErrorPostProc = PostProc->L2(PostProc->GetPhys(), ppSol);
	NekDouble LinfErrorPostProc = PostProc->Linf(PostProc->GetPhys(), ppSol); 

	if (vSession->GetComm()->GetRank() == 0)
	{
		cout << "L infinity error : " << vLinfError << endl;
		cout << "L 2 error        : " << vL2Error   << endl;
		cout << "Postprocessed L infinity error : " << LinfErrorPostProc << endl;
		cout << "Postprocessed L 2 error        : " << L2ErrorPostProc   << endl;
	}

	vSession->Finalise();
    
    return 0;
}
Ejemplo n.º 5
0
int main(int argc, char *argv[])
{
    LibUtilities::SessionReaderSharedPtr vSession
            = LibUtilities::SessionReader::CreateInstance(argc, argv);

    LibUtilities::CommSharedPtr vComm = vSession->GetComm();

    MultiRegions::DisContField3DSharedPtr Exp, Fce;
    int     i, nq,  coordim;
    Array<OneD,NekDouble>  fce; 
    Array<OneD,NekDouble>  xc0,xc1,xc2; 
    StdRegions::ConstFactorMap factors;

    if(argc < 2)
    {
        fprintf(stderr,"Usage: HDGHelmholtz3D  meshfile [solntype]\n");
        exit(1);
    }

    LibUtilities::FieldIOSharedPtr fld = MemoryManager<LibUtilities::FieldIO>::AllocateSharedPtr(vComm);

    //----------------------------------------------
    // Read in mesh from input file
    SpatialDomains::MeshGraphSharedPtr graph3D = 
        MemoryManager<SpatialDomains::MeshGraph3D>::AllocateSharedPtr(vSession);
    //----------------------------------------------

    //----------------------------------------------
    // Print summary of solution details
    factors[StdRegions::eFactorLambda] = vSession->GetParameter("Lambda");
    factors[StdRegions::eFactorTau] = 1.0;
    const SpatialDomains::ExpansionMap &expansions = graph3D->GetExpansions();
    LibUtilities::BasisKey bkey0
                            = expansions.begin()->second->m_basisKeyVector[0];

    if (vComm->GetRank() == 0)
    {
            cout << "Solving 3D Helmholtz:"  << endl;
            cout << "  - Communication: " 
                 << vSession->GetComm()->GetType() << " (" 
                 << vSession->GetComm()->GetSize() 
                 << " processes)" << endl;
            cout << "  - Solver type  : " 
                 << vSession->GetSolverInfo("GlobalSysSoln") << endl;
            cout << "  - Lambda       : " 
                 << factors[StdRegions::eFactorLambda] << endl;
            cout << "  - No. modes    : " 
                 << bkey0.GetNumModes() << endl;
            cout << endl;
    }
    //----------------------------------------------
   
    //----------------------------------------------
    // Define Expansion 
    Exp = MemoryManager<MultiRegions::DisContField3D>::
        AllocateSharedPtr(vSession,graph3D,vSession->GetVariable(0));
    //----------------------------------------------
    Timing("Read files and define exp ..");
    
    //----------------------------------------------
    // Set up coordinates of mesh for Forcing function evaluation
    coordim = Exp->GetCoordim(0);
    nq      = Exp->GetTotPoints();
    
    xc0 = Array<OneD,NekDouble>(nq,0.0);
    xc1 = Array<OneD,NekDouble>(nq,0.0);
    xc2 = Array<OneD,NekDouble>(nq,0.0);
    
    switch(coordim)
    {
    case 1:
        Exp->GetCoords(xc0);
        break;
    case 2:
        Exp->GetCoords(xc0,xc1);
        break;
    case 3:
        Exp->GetCoords(xc0,xc1,xc2);
        break;
    }
    //----------------------------------------------
    
    //----------------------------------------------
    // Define forcing function for first variable defined in file 
    fce = Array<OneD,NekDouble>(nq);
    LibUtilities::EquationSharedPtr ffunc = vSession->GetFunction("Forcing", 0);

    ffunc->Evaluate(xc0, xc1, xc2, fce);

    //----------------------------------------------


    //----------------------------------------------
    // Setup expansion containing the  forcing function
    Fce = MemoryManager<MultiRegions::DisContField3D>::AllocateSharedPtr(*Exp);
    Fce->SetPhys(fce);
    //----------------------------------------------
    Timing("Define forcing ..");
  
    //----------------------------------------------
    // Helmholtz solution taking physical forcing 
    Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), NullFlagList, factors);
    //----------------------------------------------
    
    Timing("Helmholtz Solve ..");

#if 0
    for(i = 0; i < 100; ++i)
    {
        Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), NullFlagList, factors);
    }
    
    Timing("100 Helmholtz Solves:... ");
#endif 

    //----------------------------------------------
    // Backward Transform Solution to get solved values at 
    Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys());
    //----------------------------------------------
    Timing("Backward Transform ..");
    
    //-----------------------------------------------
    // Write solution to file
    string out = vSession->GetSessionName() + ".fld";
    std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef
                                                = Exp->GetFieldDefinitions();
    std::vector<std::vector<NekDouble> > FieldData(FieldDef.size());

    for(i = 0; i < FieldDef.size(); ++i)
    {
        FieldDef[i]->m_fields.push_back("u");
        Exp->AppendFieldData(FieldDef[i], FieldData[i]);
    }
    fld->Write(out, FieldDef, FieldData);
    //-----------------------------------------------
    
    //----------------------------------------------
    // See if there is an exact solution, if so 
    // evaluate and plot errors
    LibUtilities::EquationSharedPtr ex_sol =
        vSession->GetFunction("ExactSolution", 0);
    
    if(ex_sol)
    {
        //----------------------------------------------
        // evaluate exact solution 
        ex_sol->Evaluate(xc0, xc1, xc2,  fce);

        //----------------------------------------------

        //--------------------------------------------
        // Calculate L_inf error 
        Fce->SetPhys(fce);
        Fce->SetPhysState(true);

        NekDouble vLinfError = Exp->Linf(Exp->GetPhys(), Fce->GetPhys());
        NekDouble vL2Error   = Exp->L2  (Exp->GetPhys(), Fce->GetPhys());
        NekDouble vH1Error   = Exp->H1  (Exp->GetPhys(), Fce->GetPhys());

        if (vComm->GetRank() == 0)
        {
            cout << "L infinity error: " << vLinfError << endl;
            cout << "L 2 error       : " << vL2Error   << endl;
            cout << "H 1 error       : " << vH1Error   << endl;
        }
        //--------------------------------------------        
    }
    
    Timing("Output ..");

    //----------------------------------------------        
    
    vSession->Finalise();
    
    return 0;
}
Ejemplo n.º 6
0
int main(int argc, char *argv[])
{
    LibUtilities::SessionReaderSharedPtr vSession
            = LibUtilities::SessionReader::CreateInstance(argc, argv);

    LibUtilities::CommSharedPtr vComm = vSession->GetComm();
    MultiRegions::ContField1DSharedPtr Exp,Fce;
    int     i, nq,  coordim;
    Array<OneD,NekDouble>  fce;
    Array<OneD,NekDouble>  xc0,xc1,xc2;
    StdRegions::ConstFactorMap factors;

    if( (argc != 2) && (argc != 3) && (argc != 4))
    {
        fprintf(stderr,"Usage: Helmholtz1D  meshfile \n");
        exit(1);
    }

    try
    {
        LibUtilities::FieldIOSharedPtr fld =
            MemoryManager<LibUtilities::FieldIO>::AllocateSharedPtr(vComm);

        //----------------------------------------------
        // Read in mesh from input file
        SpatialDomains::MeshGraphSharedPtr graph1D =
            SpatialDomains::MeshGraph::Read(vSession);
        //----------------------------------------------

        //----------------------------------------------
        // Print summary of solution details
        factors[StdRegions::eFactorLambda] = vSession->GetParameter("Lambda");
        const SpatialDomains::ExpansionMap &expansions = graph1D->GetExpansions();
        LibUtilities::BasisKey bkey0 = expansions.begin()->second->m_basisKeyVector[0];

        if (vComm->GetRank() ==0)
        {
            cout << "Solving 1D Helmholtz: "  << endl;
            cout << "       Communication: " << vComm->GetType() << endl;
            cout << "       Solver type  : " << vSession->GetSolverInfo("GlobalSysSoln") << endl;
            cout << "       Lambda       : " << factors[StdRegions::eFactorLambda] << endl;
            cout << "       No. modes    : " << bkey0.GetNumModes() << endl;
        }
        //----------------------------------------------

        //----------------------------------------------
        // Define Expansion
        Exp = MemoryManager<MultiRegions::ContField1D>::
            AllocateSharedPtr(vSession,graph1D,vSession->GetVariable(0));
        //----------------------------------------------

        //----------------------------------------------
        // Set up coordinates of mesh for Forcing function evaluation
        coordim = Exp->GetCoordim(0);
        nq      = Exp->GetTotPoints();

        xc0 = Array<OneD,NekDouble>(nq);
        xc1 = Array<OneD,NekDouble>(nq);
        xc2 = Array<OneD,NekDouble>(nq);

        switch(coordim)
        {
        case 1:
            Exp->GetCoords(xc0);
            Vmath::Zero(nq,&xc1[0],1);
            Vmath::Zero(nq,&xc2[0],1);
            break;
        case 2:
            Exp->GetCoords(xc0,xc1);
            Vmath::Zero(nq,&xc2[0],1);
            break;
        case 3:
            Exp->GetCoords(xc0,xc1,xc2);
            break;
        }
        //----------------------------------------------

        //----------------------------------------------
        // Define forcing function for first variable defined in file
        fce = Array<OneD,NekDouble>(nq);
        LibUtilities::EquationSharedPtr ffunc
                                        = vSession->GetFunction("Forcing", 0);

        ffunc->Evaluate(xc0,xc1,xc2, fce);

        //----------------------------------------------

        //----------------------------------------------
        // Setup expansion containing the  forcing function
        Fce = MemoryManager<MultiRegions::ContField1D>::AllocateSharedPtr(*Exp);
        Fce->SetPhys(fce);
        //----------------------------------------------

        //----------------------------------------------
        //Helmholtz solution taking physical forcing after setting
        //initial condition to zero
        Vmath::Zero(Exp->GetNcoeffs(),Exp->UpdateCoeffs(),1);
        Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), NullFlagList, factors);
        //----------------------------------------------

        //----------------------------------------------
        // Backward Transform Solution to get solved values at
        Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys());
        //----------------------------------------------

        //----------------------------------------------
        // Write solution
        string   out(strtok(argv[1],"."));
        string   endfile(".fld");
        out += endfile;
        std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef
            = Exp->GetFieldDefinitions();
        std::vector<std::vector<NekDouble> > FieldData(FieldDef.size());
        for(i = 0; i < FieldDef.size(); ++i)
        {
            FieldDef[i]->m_fields.push_back("u");
            Exp->AppendFieldData(FieldDef[i], FieldData[i]);
        }
        fld->Write(out, FieldDef, FieldData);
        //----------------------------------------------

        //----------------------------------------------
        // See if there is an exact solution, if so
        // evaluate and plot errors
        LibUtilities::EquationSharedPtr ex_sol
                                = vSession->GetFunction("ExactSolution", 0);


        if(ex_sol)
        {
            //----------------------------------------------
            // evaluate exact solution

            ex_sol->Evaluate(xc0,xc1,xc2, fce);

            Fce->SetPhys(fce);
            //----------------------------------------------

            //--------------------------------------------
            // Calculate errors
            NekDouble vLinfError = Exp->Linf(Exp->GetPhys(), Fce->GetPhys());
            NekDouble vL2Error   = Exp->L2(Exp->GetPhys(), Fce->GetPhys());
            NekDouble vH1Error   = Exp->H1(Exp->GetPhys(), Fce->GetPhys());
            if (vComm->GetRank() == 0)
            {
                cout << "L infinity error: " << vLinfError << endl;
                cout << "L 2 error:        " << vL2Error << endl;
                cout << "H 1 error:        " << vH1Error << endl;
            }
            //--------------------------------------------
        }
        //----------------------------------------------
    }
    catch (const std::runtime_error&)
    {
        cerr << "Caught exception." << endl;
        return 1;
    }

    vComm->Finalise();

    return 0;
}