Nektar::SubSteppingExtrapolate Class Reference

#include <SubSteppingExtrapolate.h>

Inheritance diagram for Nektar::SubSteppingExtrapolate:

Collaboration diagram for Nektar::SubSteppingExtrapolate:

Public Member Functions
	SubSteppingExtrapolate (const LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields, MultiRegions::ExpListSharedPtr pPressure, const Array< OneD, int > pVel, const SolverUtils::AdvectionSharedPtr advObject)
virtual	~SubSteppingExtrapolate ()
Public Member Functions inherited from Nektar::Extrapolate
	Extrapolate (const LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields, MultiRegions::ExpListSharedPtr pPressure, const Array< OneD, int > pVel, const SolverUtils::AdvectionSharedPtr advObject)
virtual	~Extrapolate ()
void	GenerateHOPBCMap ()
void	SubSteppingTimeIntegration (const int intMethod, const LibUtilities::TimeIntegrationWrapperSharedPtr &IntegrationScheme)
void	SubStepSaveFields (const int nstep)
void	SubStepSetPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, const NekDouble Aii_DT, NekDouble kinvis)
void	SubStepAdvance (const LibUtilities::TimeIntegrationSolutionSharedPtr &integrationSoln, const int nstep, NekDouble time)
void	MountHOPBCs (int HBCdata, NekDouble kinvis, Array< OneD, NekDouble > &Q, Array< OneD, const NekDouble > &Advection)
void	EvaluatePressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &fields, const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble kinvis)
Array< OneD, NekDouble >	GetMaxStdVelocity (const Array< OneD, Array< OneD, NekDouble > > inarray)

Static Public Member Functions
static ExtrapolateSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, MultiRegions::ExpListSharedPtr &pPressure, const Array< OneD, int > &pVel, const SolverUtils::AdvectionSharedPtr &advObject)
	Creates an instance of this class. More...

Static Public Attributes
static std::string	className
	Name of class. More...

Protected Member Functions
virtual void	v_SubSteppingTimeIntegration (int intMethod, const LibUtilities::TimeIntegrationWrapperSharedPtr &IntegrationScheme)
virtual void	v_SubStepSaveFields (int nstep)
virtual void	v_SubStepSetPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, NekDouble Aii_Dt, NekDouble kinvis)
virtual void	v_SubStepAdvance (const LibUtilities::TimeIntegrationSolutionSharedPtr &integrationSoln, int nstep, NekDouble time)
virtual void	v_MountHOPBCs (int HBCdata, NekDouble kinvis, Array< OneD, NekDouble > &Q, Array< OneD, const NekDouble > &Advection)
void	AddDuDt (const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble Aii_Dt)
void	AddDuDt2D (const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble Aii_Dt)
void	AddDuDt3D (const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble Aii_Dt)
void	SubStepAdvection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
void	SubStepProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
void	SubStepExtrapolateField (NekDouble toff, Array< OneD, Array< OneD, NekDouble > > &ExtVel)
void	AddAdvectionPenaltyFlux (const Array< OneD, const Array< OneD, NekDouble > > &velfield, const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &outarray)
NekDouble	GetSubstepTimeStep ()
Protected Member Functions inherited from Nektar::Extrapolate
void	CalcNeumannPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &fields, const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble kinvis)
void	CalcOutflowBCs (const Array< OneD, const Array< OneD, NekDouble > > &fields, const Array< OneD, const Array< OneD, NekDouble > > &N, NekDouble kinvis)
void	RollOver (Array< OneD, Array< OneD, NekDouble > > &input)
void	CurlCurl (Array< OneD, Array< OneD, const NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q, const int j)

Protected Attributes
LibUtilities::TimeIntegrationWrapperSharedPtr	m_subStepIntegrationScheme
LibUtilities::TimeIntegrationSchemeOperators	m_subStepIntegrationOps
Array< OneD, Array< OneD, NekDouble > >	m_previousVelFields
NekDouble	m_cflSafetyFactor
int	m_infosteps
int	minsubsteps
Protected Attributes inherited from Nektar::Extrapolate
LibUtilities::SessionReaderSharedPtr	m_session
LibUtilities::CommSharedPtr	m_comm
Array< OneD, MultiRegions::ExpListSharedPtr >	m_fields
MultiRegions::ExpListSharedPtr	m_pressure
	Pointer to field holding pressure field. More...
Array< OneD, int >	m_velocity
	int which identifies which components of m_fields contains the velocity (u,v,w); More...
SolverUtils::AdvectionSharedPtr	m_advObject
Array< OneD, Array< OneD, NekDouble > >	m_previousVelFields
int	m_curl_dim
	Curl-curl dimensionality. More...
int	m_bnd_dim
	bounday dimensionality More...
Array< OneD, const SpatialDomains::BoundaryConditionShPtr >	m_PBndConds
	pressure boundary conditions container More...
Array< OneD, MultiRegions::ExpListSharedPtr >	m_PBndExp
	pressure boundary conditions expansion container More...
int	m_pressureCalls
	number of times the high-order pressure BCs have been called More...
int	m_pressureBCsMaxPts
	Maximum points used in pressure BC evaluation. More...
int	m_pressureBCsElmtMaxPts
	Maximum points used in Element adjacent to pressure BC evaluation. More...
int	m_intSteps
	Maximum points used in pressure BC evaluation. More...
NekDouble	m_timestep
bool	m_SingleMode
	Flag to determine if single homogeneous mode is used. More...
bool	m_HalfMode
	Flag to determine if half homogeneous mode is used. More...
bool	m_MultipleModes
	Flag to determine if use multiple homogenenous modes are used. More...
NekDouble	m_LhomZ
	physical length in Z direction (if homogeneous) More...
int	m_npointsX
	number of points in X direction (if homogeneous) More...
int	m_npointsY
	number of points in Y direction (if homogeneous) More...
int	m_npointsZ
	number of points in Z direction (if homogeneous) More...
Array< OneD, int >	m_pressureBCtoElmtID
	Id of element to which pressure boundary condition belongs. More...
Array< OneD, int >	m_pressureBCtoTraceID
	Id of edge (2D) or face (3D) to which pressure boundary condition belongs. More...
Array< OneD, Array< OneD, NekDouble > >	m_pressureHBCs
	Storage for current and previous levels of high order pressure boundary conditions. More...
Array< OneD, Array< OneD, NekDouble > >	m_acceleration
	Storage for current and previous levels of the acceleration term. More...
Array< OneD, HBCInfo >	m_HBCdata
	data structure to old all the information regarding High order pressure BCs More...
Array< OneD, NekDouble >	m_wavenumber
	wave number 2 pi k /Lz More...
Array< OneD, NekDouble >	m_negWavenumberSq
	minus Square of wavenumber More...
Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_outflowVel
	Storage for current and previous velocity fields at the otuflow for high order outflow BCs. More...
Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_PhyoutfVel
	Storage for current and previous velocity fields in physical space at the otuflow for high order outflow BCs. More...
Array< OneD, NekDouble >	m_nonlinearterm_phys
	(if homogeneous) More...
Array< OneD, NekDouble >	m_nonlinearterm_coeffs
	(if homogeneous) More...
Array< OneD, unsigned int >	m_expsize_per_plane
	(if homogeneous) More...
Array< OneD, NekDouble >	m_PBndCoeffs
	(if homogeneous) More...
Array< OneD, Array< OneD, NekDouble > >	m_UBndCoeffs
	(if homogeneous) More...
int	m_totexps_per_plane
	(if homogeneous) More...

Detailed Description

Definition at line 58 of file SubSteppingExtrapolate.h.

Constructor & Destructor Documentation

Nektar::SubSteppingExtrapolate::SubSteppingExtrapolate	(	const LibUtilities::SessionReaderSharedPtr	pSession,
		Array< OneD, MultiRegions::ExpListSharedPtr >	pFields,
		MultiRegions::ExpListSharedPtr	pPressure,
		const Array< OneD, int >	pVel,
		const SolverUtils::AdvectionSharedPtr	advObject
	)

Definition at line 49 of file SubSteppingExtrapolate.cpp.

References m_cflSafetyFactor, m_infosteps, Nektar::Extrapolate::m_session, and minsubsteps.

        : Extrapolate(pSession,pFields,pPressure,pVel,advObject)
    {
        m_session->LoadParameter("IO_InfoSteps", m_infosteps, 0);
        m_session->LoadParameter("CFL", m_cflSafetyFactor, 0.5);
        m_session->LoadParameter("MinSubSteps", minsubsteps,0);
    }

Nektar::SubSteppingExtrapolate::~SubSteppingExtrapolate ( )

virtual

Definition at line 62 of file SubSteppingExtrapolate.cpp.

    {
    }

Member Function Documentation

void Nektar::SubSteppingExtrapolate::AddAdvectionPenaltyFlux ( const Array< OneD, const Array< OneD, NekDouble > > &  velfield, const Array< OneD, const Array< OneD, NekDouble > > &  physfield, Array< OneD, Array< OneD, NekDouble > > &  outarray  )

protected

Number of trace points

Number of spatial dimensions

Forward state array

Backward state array

upwind numerical flux state array

Normal velocity array

Extract forwards/backwards trace spaces Note: Needs to have correct i value to get boundary conditions

Upwind between elements

Construct difference between numflux and Fwd,Bwd

Calculate the numerical fluxes multipling Fwd, Bwd and numflux by the normal advection velocity

Definition at line 390 of file SubSteppingExtrapolate.cpp.

References ASSERTL1, Nektar::Extrapolate::m_curl_dim, Nektar::Extrapolate::m_fields, Nektar::Extrapolate::m_velocity, Vmath::Vmul(), Vmath::Vsub(), and Vmath::Vvtvp().

Referenced by SubStepAdvection().

    {
        ASSERTL1(
            physfield.num_elements() == Outarray.num_elements(),
            "Physfield and outarray are of different dimensions");
        
        int i;
        
        /// Number of trace points
        int nTracePts   = m_fields[0]->GetTrace()->GetNpoints();

        /// Number of spatial dimensions
        int nDimensions = m_curl_dim;

        Array<OneD, Array<OneD, NekDouble> > traceNormals(m_curl_dim);

        for(i = 0; i < nDimensions; ++i)
        {
            traceNormals[i] = Array<OneD, NekDouble> (nTracePts);
        }

        //trace normals
        m_fields[0]->GetTrace()->GetNormals(traceNormals);

        /// Forward state array
        Array<OneD, NekDouble> Fwd(3*nTracePts);
        
        /// Backward state array
        Array<OneD, NekDouble> Bwd = Fwd + nTracePts;

        /// upwind numerical flux state array
        Array<OneD, NekDouble> numflux = Bwd + nTracePts;
        
        /// Normal velocity array
        Array<OneD, NekDouble> Vn (nTracePts, 0.0);
        
        // Extract velocity field along the trace space and multiply by trace normals
        for(i = 0; i < nDimensions; ++i)
        {
            m_fields[0]->ExtractTracePhys(m_fields[m_velocity[i]]->GetPhys(), Fwd);
            Vmath::Vvtvp(nTracePts, traceNormals[i], 1, Fwd, 1, Vn, 1, Vn, 1);
        }
        
        for(i = 0; i < physfield.num_elements(); ++i)
        {
            /// Extract forwards/backwards trace spaces
            /// Note: Needs to have correct i value to get boundary conditions
            m_fields[i]->GetFwdBwdTracePhys(physfield[i], Fwd, Bwd);
            
            /// Upwind between elements
            m_fields[0]->GetTrace()->Upwind(Vn, Fwd, Bwd, numflux);

            /// Construct difference between numflux and Fwd,Bwd
            Vmath::Vsub(nTracePts, numflux, 1, Fwd, 1, Fwd, 1);
            Vmath::Vsub(nTracePts, numflux, 1, Bwd, 1, Bwd, 1);

            /// Calculate the numerical fluxes multipling Fwd, Bwd and
            /// numflux by the normal advection velocity
            Vmath::Vmul(nTracePts, Fwd, 1, Vn, 1, Fwd, 1);
            Vmath::Vmul(nTracePts, Bwd, 1, Vn, 1, Bwd, 1);

            m_fields[0]->AddFwdBwdTraceIntegral(Fwd,Bwd,Outarray[i]);
        }
    }

void Nektar::SubSteppingExtrapolate::AddDuDt ( const Array< OneD, const Array< OneD, NekDouble > > &  N, NekDouble  Aii_Dt  )

protected

Definition at line 515 of file SubSteppingExtrapolate.cpp.

References AddDuDt2D(), AddDuDt3D(), ASSERTL0, and Nektar::Extrapolate::m_velocity.

Referenced by v_SubStepSetPressureBCs().

    {
        switch(m_velocity.num_elements())
        {
            case 1:
                ASSERTL0(
                    false,
                    "Velocity correction scheme not designed to have just one velocity component");
                break;
            case 2:
                AddDuDt2D(N,Aii_Dt);
                break;
            case 3:
                AddDuDt3D(N,Aii_Dt);
                break;
        }
    }

void Nektar::SubSteppingExtrapolate::AddDuDt2D ( const Array< OneD, const Array< OneD, NekDouble > > &  N, NekDouble  Aii_Dt  )

protected

Definition at line 538 of file SubSteppingExtrapolate.cpp.

References ASSERTL0, Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::Extrapolate::m_fields, Nektar::Extrapolate::m_pressureBCsMaxPts, Nektar::Extrapolate::m_pressureBCtoElmtID, Nektar::Extrapolate::m_pressureBCtoTraceID, Nektar::Extrapolate::m_velocity, and Vmath::Vsub().

Referenced by AddDuDt().

    {
        int i,n;
        ASSERTL0(m_velocity.num_elements() == 2," Routine currently only set up for 2D");
        
        int pindex=2;

        Array<OneD, const SpatialDomains::BoundaryConditionShPtr > PBndConds;
        Array<OneD, MultiRegions::ExpListSharedPtr>  PBndExp,UBndExp,VBndExp;
        
        PBndConds = m_fields[pindex]->GetBndConditions();
        PBndExp   = m_fields[pindex]->GetBndCondExpansions();
        
        UBndExp   = m_fields[m_velocity[0]]->GetBndCondExpansions();
        VBndExp   = m_fields[m_velocity[1]]->GetBndCondExpansions();
        
        StdRegions::StdExpansionSharedPtr elmt;
        StdRegions::StdExpansion1DSharedPtr Pbc;
        
        
        int cnt,elmtid,nq,offset, boundary,ncoeffs;
        
        Array<OneD, NekDouble> N1(m_pressureBCsMaxPts), N2(m_pressureBCsMaxPts);
        Array<OneD, NekDouble> ubc(m_pressureBCsMaxPts),vbc(m_pressureBCsMaxPts);
        Array<OneD, NekDouble> Pvals(m_pressureBCsMaxPts);
        Array<OneD, NekDouble> Nu,Nv,Ptmp;
        
        for(cnt = n = 0; n < PBndConds.num_elements(); ++n)
        {            
            std::string type = PBndConds[n]->GetUserDefined(); 
            
            if(boost::iequals(type,"H"))
            {
                for(i = 0; i < PBndExp[n]->GetExpSize(); ++i,cnt++)
                {
                    // find element and edge of this expansion. 
                    elmtid = m_pressureBCtoElmtID[cnt];
                    elmt   = m_fields[0]->GetExp(elmtid);
                    offset = m_fields[0]->GetPhys_Offset(elmtid);
                    
                    Nu = N[0] + offset;
                    Nv = N[1] + offset; 
                    
                    Pbc =  boost::dynamic_pointer_cast<StdRegions::StdExpansion1D> (PBndExp[n]->GetExp(i));
                    nq       = Pbc->GetTotPoints();
                    ncoeffs  = Pbc->GetNcoeffs();
                    boundary = m_pressureBCtoTraceID[cnt];
                    
                    // Get velocity bc
                    UBndExp[n]->GetExp(i)->BwdTrans(UBndExp[n]->GetCoeffs() + UBndExp[n]->GetCoeff_Offset(i),ubc);
                    VBndExp[n]->GetExp(i)->BwdTrans(VBndExp[n]->GetCoeffs() + VBndExp[n]->GetCoeff_Offset(i),vbc);
                    
                    
                    // Get edge values and put into Nu,Nv
                    elmt->GetEdgePhysVals(boundary,Pbc,Nu,N1);
                    elmt->GetEdgePhysVals(boundary,Pbc,Nv,N2);
                    
                        
                    // Take different as Forward Euler but N1,N2
                    // actually contain the integration of the
                    // previous steps from the time integration
                    // scheme.
                    Vmath::Vsub(nq,ubc,1,N1,1,ubc,1);
                    Vmath::Vsub(nq,vbc,1,N2,1,vbc,1);
                    
                        
                    // Divide by aii_Dt to get correct Du/Dt.  This is
                    // because all coefficients in the integration
                    // scheme are normalised so u^{n+1} has unit
                    // coefficient and N is already multiplied by
                    // local coefficient when taken from integration
                    // scheme
                    Blas::Dscal(nq,1.0/Aii_Dt,&ubc[0],1);
                    Blas::Dscal(nq,1.0/Aii_Dt,&vbc[0],1);
                    
                    // subtrace off du/dt derivative 
                    Pbc->NormVectorIProductWRTBase(ubc,vbc,Pvals); 
                    
                    Vmath::Vsub(ncoeffs,Ptmp = PBndExp[n]->UpdateCoeffs()
                                +PBndExp[n]->GetCoeff_Offset(i),1, Pvals,1, 
                                Ptmp = PBndExp[n]->UpdateCoeffs()+PBndExp[n]->GetCoeff_Offset(i),1);
                }
            }
            else  // No High order
            {
                cnt += PBndExp[n]->GetExpSize();
            }
        }        
    }

void Nektar::SubSteppingExtrapolate::AddDuDt3D ( const Array< OneD, const Array< OneD, NekDouble > > &  N, NekDouble  Aii_Dt  )

protected

Definition at line 633 of file SubSteppingExtrapolate.cpp.

References ASSERTL0, Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::Extrapolate::m_fields, Nektar::Extrapolate::m_pressureBCsMaxPts, Nektar::Extrapolate::m_pressureBCtoElmtID, Nektar::Extrapolate::m_pressureBCtoTraceID, Nektar::Extrapolate::m_velocity, and Vmath::Vsub().

Referenced by AddDuDt().

    {
        int i,n;
        ASSERTL0(m_velocity.num_elements() == 3," Routine currently only set up for 3D");
        int pindex=3;                

        Array<OneD, const SpatialDomains::BoundaryConditionShPtr > PBndConds;
        Array<OneD, MultiRegions::ExpListSharedPtr>  PBndExp,UBndExp,VBndExp,WBndExp;

        PBndConds = m_fields[pindex]->GetBndConditions();
        PBndExp   = m_fields[pindex]->GetBndCondExpansions();
        
        UBndExp   = m_fields[m_velocity[0]]->GetBndCondExpansions();
        VBndExp   = m_fields[m_velocity[1]]->GetBndCondExpansions();
        WBndExp   = m_fields[m_velocity[2]]->GetBndCondExpansions();
        
        StdRegions::StdExpansionSharedPtr  elmt;
        StdRegions::StdExpansion2DSharedPtr Pbc;
            
        int cnt,elmtid,nq,offset, boundary,ncoeffs;        
        
        Array<OneD, NekDouble> N1(m_pressureBCsMaxPts), N2(m_pressureBCsMaxPts), 
            N3(m_pressureBCsMaxPts);
        Array<OneD, NekDouble> ubc(m_pressureBCsMaxPts),vbc(m_pressureBCsMaxPts),
            wbc(m_pressureBCsMaxPts);
        Array<OneD, NekDouble> Pvals(m_pressureBCsMaxPts);
        Array<OneD, NekDouble> Nu,Nv,Nw,Ptmp;
        
        for(cnt = n = 0; n < PBndConds.num_elements(); ++n)
        {            
            std::string type = PBndConds[n]->GetUserDefined(); 
            
            if(boost::iequals(type,"H"))
            {
                for(i = 0; i < PBndExp[n]->GetExpSize(); ++i,cnt++)
                {
                    // find element and face of this expansion. 
                    elmtid = m_pressureBCtoElmtID[cnt];
                    elmt   = m_fields[0]->GetExp(elmtid);
                    offset = m_fields[0]->GetPhys_Offset(elmtid);
                    
                    Nu = N[0] + offset;
                    Nv = N[1] + offset;
                    Nw = N[2] + offset;
                    
                    Pbc =  boost::dynamic_pointer_cast<StdRegions::StdExpansion2D> (PBndExp[n]->GetExp(i));
                    nq       = Pbc->GetTotPoints();
                    ncoeffs  = Pbc->GetNcoeffs();
                    boundary = m_pressureBCtoTraceID[cnt];
                    
                    // Get velocity bc
                    UBndExp[n]->GetExp(i)->BwdTrans(UBndExp[n]->GetCoeffs() + 
                                                    UBndExp[n]->GetCoeff_Offset(i),ubc);
                    VBndExp[n]->GetExp(i)->BwdTrans(VBndExp[n]->GetCoeffs() + 
                                                    VBndExp[n]->GetCoeff_Offset(i),vbc);
                    WBndExp[n]->GetExp(i)->BwdTrans(WBndExp[n]->GetCoeffs() + 
                                                    WBndExp[n]->GetCoeff_Offset(i),wbc);
                    
                    // Get edge values and put into N1,N2,N3
                    elmt->GetFacePhysVals(boundary,Pbc,Nu,N1);
                    elmt->GetFacePhysVals(boundary,Pbc,Nv,N2);
                    elmt->GetFacePhysVals(boundary,Pbc,Nw,N3);
                    
                    
                    // Take different as Forward Euler but N1,N2,N3
                    // actually contain the integration of the
                    // previous steps from the time integration
                    // scheme.
                    Vmath::Vsub(nq,ubc,1,N1,1,ubc,1);
                    Vmath::Vsub(nq,vbc,1,N2,1,vbc,1);
                    Vmath::Vsub(nq,wbc,1,N3,1,wbc,1);
                    
                    // Divide by aii_Dt to get correct Du/Dt.  This is
                    // because all coefficients in the integration
                    // scheme are normalised so u^{n+1} has unit
                    // coefficient and N is already multiplied by
                    // local coefficient when taken from integration
                    // scheme
                    Blas::Dscal(nq,1.0/Aii_Dt,&ubc[0],1);
                    Blas::Dscal(nq,1.0/Aii_Dt,&vbc[0],1);
                    Blas::Dscal(nq,1.0/Aii_Dt,&wbc[0],1);
                    
                    // subtrace off du/dt derivative 
                    Pbc->NormVectorIProductWRTBase(ubc,vbc,wbc,Pvals); 
                    
                    Vmath::Vsub(
                        ncoeffs,
                        Ptmp = PBndExp[n]->UpdateCoeffs()+PBndExp[n]->GetCoeff_Offset(i),
                        1,Pvals,1, 
                        Ptmp = PBndExp[n]->UpdateCoeffs()+PBndExp[n]->GetCoeff_Offset(i),
                        1);
                }
            }
            else  // No High order
            {
                cnt += PBndExp[n]->GetExpSize();
            }
        }        
    }    

static ExtrapolateSharedPtr Nektar::SubSteppingExtrapolate::create ( const LibUtilities::SessionReaderSharedPtr &  pSession, Array< OneD, MultiRegions::ExpListSharedPtr > &  pFields, MultiRegions::ExpListSharedPtr &  pPressure, const Array< OneD, int > &  pVel, const SolverUtils::AdvectionSharedPtr &  advObject  )

inlinestatic

Creates an instance of this class.

Definition at line 63 of file SubSteppingExtrapolate.h.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr().

        {
            ExtrapolateSharedPtr p = MemoryManager<SubSteppingExtrapolate>
                ::AllocateSharedPtr(pSession,pFields,pPressure,pVel,advObject);
            return p;
        }

NekDouble Nektar::SubSteppingExtrapolate::GetSubstepTimeStep ( )

protected

Definition at line 355 of file SubSteppingExtrapolate.cpp.

References Nektar::Extrapolate::GetMaxStdVelocity(), m_cflSafetyFactor, Nektar::Extrapolate::m_comm, Nektar::Extrapolate::m_fields, Nektar::Extrapolate::m_velocity, Nektar::LibUtilities::ReduceMin, and Vmath::Vmin().

Referenced by v_SubStepAdvance().

    { 
        int n_element      = m_fields[0]->GetExpSize(); 

        const Array<OneD, int> ExpOrder=m_fields[0]->EvalBasisNumModesMaxPerExp();
        Array<OneD, int> ExpOrderList (n_element, ExpOrder);
        
        const NekDouble cLambda = 0.2; // Spencer book pag. 317
        
        Array<OneD, NekDouble> tstep      (n_element, 0.0);
        Array<OneD, NekDouble> stdVelocity(n_element, 0.0);
        Array<OneD, Array<OneD, NekDouble> > velfields(m_velocity.num_elements());
        
        for(int i = 0; i < m_velocity.num_elements(); ++i)
        {
            velfields[i] = m_fields[m_velocity[i]]->UpdatePhys();
        }        
        stdVelocity = GetMaxStdVelocity(velfields);
        
        for(int el = 0; el < n_element; ++el)
        {
            tstep[el] = m_cflSafetyFactor / 
                (stdVelocity[el] * cLambda * 
                 (ExpOrder[el]-1) * (ExpOrder[el]-1));
        }
        
        NekDouble TimeStep = Vmath::Vmin(n_element, tstep, 1);
        m_comm->AllReduce(TimeStep,LibUtilities::ReduceMin);        
        
        return TimeStep;
    }

void Nektar::SubSteppingExtrapolate::SubStepAdvection ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray, Array< OneD, Array< OneD, NekDouble > > &  outarray, const NekDouble  time  )

protected

Explicit Advection terms used by SubStepAdvance time integration

Get the number of coefficients

Define an auxiliary variable to compute the RHS

Operations to compute the RHS

Multiply the flux by the inverse of the mass matrix

Store in outarray the physical values of the RHS

Definition at line 125 of file SubSteppingExtrapolate.cpp.

References AddAdvectionPenaltyFlux(), Nektar::Extrapolate::m_advObject, Nektar::Extrapolate::m_fields, Nektar::Extrapolate::m_timestep, Nektar::Extrapolate::m_velocity, Vmath::Neg(), and SubStepExtrapolateField().

Referenced by v_SubSteppingTimeIntegration().

    {
        int i;
        int nVariables     = inarray.num_elements();
        int nQuadraturePts = inarray[0].num_elements();
        
        /// Get the number of coefficients
        int ncoeffs = m_fields[0]->GetNcoeffs(); 
        
        /// Define an auxiliary variable to compute the RHS 
        Array<OneD, Array<OneD, NekDouble> > WeakAdv(nVariables);
        WeakAdv[0] = Array<OneD, NekDouble> (ncoeffs*nVariables);
        for(i = 1; i < nVariables; ++i)
        {
            WeakAdv[i] = WeakAdv[i-1] + ncoeffs;
        }
        
        Array<OneD, Array<OneD, NekDouble> > Velfields(m_velocity.num_elements());
        Array<OneD, int> VelIds(m_velocity.num_elements());
        
        Velfields[0] = Array<OneD, NekDouble> (nQuadraturePts*m_velocity.num_elements());
        
        for(i = 1; i < m_velocity.num_elements(); ++i)
        {
            Velfields[i] = Velfields[i-1] + nQuadraturePts; 
        }

        SubStepExtrapolateField(fmod(time,m_timestep), Velfields);
        
        m_advObject->Advect(m_velocity.num_elements(), m_fields, Velfields, inarray, outarray, time);
        
        for(i = 0; i < nVariables; ++i)
        {
            m_fields[i]->IProductWRTBase(outarray[i],WeakAdv[i]); 
            // negation requried due to sign of DoAdvection term to be consistent
            Vmath::Neg(ncoeffs, WeakAdv[i], 1);
        }
        
        AddAdvectionPenaltyFlux(Velfields, inarray, WeakAdv);
        
        /// Operations to compute the RHS
        for(i = 0; i < nVariables; ++i)
        {
            // Negate the RHS
            Vmath::Neg(ncoeffs, WeakAdv[i], 1);

            /// Multiply the flux by the inverse of the mass matrix
            m_fields[i]->MultiplyByElmtInvMass(WeakAdv[i], WeakAdv[i]);
            
            /// Store in outarray the physical values of the RHS
            m_fields[i]->BwdTrans(WeakAdv[i], outarray[i]);
        }
        
        //add the force
        /*if(m_session->DefinesFunction("BodyForce"))
        {
            if(m_SingleMode || m_HalfMode)
            {
                for(int i = 0; i < m_nConvectiveFields; ++i)
                {
                    m_forces[i]->SetWaveSpace(true);    
                    m_forces[i]->BwdTrans(m_forces[i]->GetCoeffs(),
                                          m_forces[i]->UpdatePhys());
                }
            }
            
            int nqtot = m_fields[0]->GetTotPoints();
            for(int i = 0; i < m_nConvectiveFields; ++i)
            {
                Vmath::Vadd(nqtot,outarray[i],1,(m_forces[i]->GetPhys()),1,outarray[i],1);
            }
            }*/
    }

void Nektar::SubSteppingExtrapolate::SubStepExtrapolateField ( NekDouble  toff, Array< OneD, Array< OneD, NekDouble > > &  ExtVel  )

protected

Extrapolate field using equally time spaced field un,un-1,un-2, (at dt intervals) to time n+t at order Ord

Definition at line 462 of file SubSteppingExtrapolate.cpp.

References Vmath::Fill(), Nektar::Extrapolate::m_fields, Nektar::Extrapolate::m_intSteps, m_previousVelFields, Nektar::Extrapolate::m_timestep, Nektar::Extrapolate::m_velocity, npts, and Vmath::Smul().

Referenced by SubStepAdvection().

    {
        int npts = m_fields[0]->GetTotPoints();
        int nvel = m_velocity.num_elements();
        int i,j;
        Array<OneD, NekDouble> l(4);

        int ord = m_intSteps;
            
        // calculate Lagrange interpolants
        Vmath::Fill(4,1.0,l,1);
        
        for(i = 0; i <= ord; ++i)
        {
            for(j = 0; j <= ord; ++j)
            {
                if(i != j)
                {
                    l[i] *= (j*m_timestep+toff);
                    l[i] /= (j*m_timestep-i*m_timestep);
                }
            }
        }

        for(i = 0; i < nvel; ++i)
        {
            Vmath::Smul(npts,l[0],m_previousVelFields[i],1,ExtVel[i],1);
            
            for(j = 1; j <= ord; ++j)
            {
                Blas::Daxpy(npts,l[j],m_previousVelFields[j*nvel+i],1,
                            ExtVel[i],1);
            }
        }
    }

void Nektar::SubSteppingExtrapolate::SubStepProjection ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray, Array< OneD, Array< OneD, NekDouble > > &  outarray, const NekDouble  time  )

protected

Projection used by SubStepAdvance time integration

Definition at line 205 of file SubSteppingExtrapolate.cpp.

References ASSERTL1, and Vmath::Vcopy().

Referenced by v_SubSteppingTimeIntegration().

    {
        ASSERTL1(inarray.num_elements() == outarray.num_elements(),"Inarray and outarray of different sizes ");

        for(int i = 0; i < inarray.num_elements(); ++i)
        {
            Vmath::Vcopy(inarray[i].num_elements(),inarray[i],1,outarray[i],1);
        }
    }

void Nektar::SubSteppingExtrapolate::v_MountHOPBCs ( int  HBCdata, NekDouble  kinvis, Array< OneD, NekDouble > &  Q, Array< OneD, const NekDouble > &  Advection  )

protectedvirtual

Implements Nektar::Extrapolate.

Definition at line 503 of file SubSteppingExtrapolate.cpp.

References Vmath::Smul().

    {
        Vmath::Smul(HBCdata,-kinvis,Q,1,Q,1);
    }

void Nektar::SubSteppingExtrapolate::v_SubStepAdvance ( const LibUtilities::TimeIntegrationSolutionSharedPtr &  integrationSoln, int  nstep, NekDouble  time  )

protectedvirtual

Implements Nektar::Extrapolate.

Definition at line 292 of file SubSteppingExtrapolate.cpp.

References GetSubstepTimeStep(), m_cflSafetyFactor, Nektar::Extrapolate::m_comm, Nektar::Extrapolate::m_fields, m_infosteps, Nektar::Extrapolate::m_intSteps, m_subStepIntegrationOps, m_subStepIntegrationScheme, Nektar::Extrapolate::m_timestep, and minsubsteps.

    {
        int n;
        int nsubsteps;
        
        NekDouble dt; 
        
        Array<OneD, Array<OneD, NekDouble> > fields, velfields;
        
        static int ncalls = 1;
        int  nint         = min(ncalls++, m_intSteps);
        
        Array<OneD, NekDouble> CFL(m_fields[0]->GetExpSize(), 
                                   m_cflSafetyFactor);
        //this needs to change
        m_comm = m_fields[0]->GetComm()->GetRowComm();

        // Get the proper time step with CFL control
        dt = GetSubstepTimeStep();

        nsubsteps = (m_timestep > dt)? ((int)(m_timestep/dt)+1):1; 
        nsubsteps = max(minsubsteps, nsubsteps);

        dt = m_timestep/nsubsteps;
        
        if (m_infosteps && !((nstep+1)%m_infosteps) && m_comm->GetRank() == 0)
        {
            cout << "Sub-integrating using "<< nsubsteps 
                 << " steps over Dt = "     << m_timestep 
                 << " (SubStep CFL="        << m_cflSafetyFactor << ")"<< endl;
        }

        for (int m = 0; m < nint; ++m)
        {
            // We need to update the fields held by the m_integrationSoln
            fields = integrationSoln->UpdateSolutionVector()[m];
            
            // Initialise NS solver which is set up to use a GLM method
            // with calls to EvaluateAdvection_SetPressureBCs and
            // SolveUnsteadyStokesSystem
            LibUtilities::TimeIntegrationSolutionSharedPtr 
                SubIntegrationSoln = m_subStepIntegrationScheme->
                InitializeScheme(dt, fields, time, m_subStepIntegrationOps);
            
            for(n = 0; n < nsubsteps; ++n)
            {
                fields = m_subStepIntegrationScheme->TimeIntegrate(
                    n, dt, SubIntegrationSoln,
                    m_subStepIntegrationOps);
            }
            
            // Reset time integrated solution in m_integrationSoln 
            integrationSoln->SetSolVector(m,fields);
        }
    }

void Nektar::SubSteppingExtrapolate::v_SubSteppingTimeIntegration ( int  intMethod, const LibUtilities::TimeIntegrationWrapperSharedPtr &  IntegrationScheme  )

protectedvirtual

Implements Nektar::Extrapolate.

Definition at line 66 of file SubSteppingExtrapolate.cpp.

References ASSERTL0, Nektar::LibUtilities::NekFactory< tKey, tBase, >::CreateInstance(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineOdeRhs(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineProjection(), Nektar::LibUtilities::eBackwardEuler, Nektar::LibUtilities::eBDFImplicitOrder1, Nektar::LibUtilities::eBDFImplicitOrder2, Nektar::LibUtilities::GetTimeIntegrationWrapperFactory(), Nektar::Extrapolate::m_fields, Nektar::Extrapolate::m_intSteps, m_previousVelFields, m_subStepIntegrationOps, m_subStepIntegrationScheme, Nektar::Extrapolate::m_velocity, SubStepAdvection(), and SubStepProjection().

    {
        int i;
        
        // Set to 1 for first step and it will then be increased in
        // time advance routines
        switch(intMethod)
        {
            case LibUtilities::eBackwardEuler:
            case LibUtilities::eBDFImplicitOrder1: 
            {
                m_subStepIntegrationScheme = LibUtilities::GetTimeIntegrationWrapperFactory().CreateInstance("ForwardEuler");
                
                // Fields for linear interpolation
                m_previousVelFields = Array<OneD, Array<OneD, NekDouble> >(2*m_fields.num_elements());                    
                int ntotpts  = m_fields[0]->GetTotPoints();
                m_previousVelFields[0] = Array<OneD, NekDouble>(2*m_fields.num_elements()*ntotpts);
                for(i = 1; i < 2*m_fields.num_elements(); ++i)
                {
                    m_previousVelFields[i] = m_previousVelFields[i-1] + ntotpts; 
                }
                
            }
            break;
            case LibUtilities::eBDFImplicitOrder2:
            {
                m_subStepIntegrationScheme = LibUtilities::GetTimeIntegrationWrapperFactory().CreateInstance("RungeKutta2_ImprovedEuler");
                    
                int nvel = m_velocity.num_elements();
                
                // Fields for quadratic interpolation
                m_previousVelFields = Array<OneD, Array<OneD, NekDouble> >(3*nvel);
                
                int ntotpts  = m_fields[0]->GetTotPoints();
                m_previousVelFields[0] = Array<OneD, NekDouble>(3*nvel*ntotpts);
                for(i = 1; i < 3*nvel; ++i)
                {
                    m_previousVelFields[i] = m_previousVelFields[i-1] + ntotpts; 
                }
                 
                }
            break;
            default:
                ASSERTL0(0,"Integration method not suitable: Options include BackwardEuler or BDFImplicitOrder1");
                break;
        }
    
        m_intSteps = IntegrationScheme->GetIntegrationSteps();

        // set explicit time-integration class operators
        m_subStepIntegrationOps.DefineOdeRhs(&SubSteppingExtrapolate::SubStepAdvection, this);
        m_subStepIntegrationOps.DefineProjection(&SubSteppingExtrapolate::SubStepProjection, this);
    }

void Nektar::SubSteppingExtrapolate::v_SubStepSaveFields ( int  nstep )

protectedvirtual

Implements Nektar::Extrapolate.

Definition at line 243 of file SubSteppingExtrapolate.cpp.

References Nektar::Extrapolate::m_fields, m_previousVelFields, Nektar::Extrapolate::m_velocity, npts, and Vmath::Vcopy().

    {
        int i,n;
        int nvel = m_velocity.num_elements();
        int npts = m_fields[0]->GetTotPoints();

        // rotate fields 
        int nblocks = m_previousVelFields.num_elements()/nvel; 
        Array<OneD, NekDouble> save; 
        
        for(n = 0; n < nvel; ++n)
        {
            save = m_previousVelFields[(nblocks-1)*nvel+n];
            
            for(i = nblocks-1; i > 0; --i)
            {
                m_previousVelFields[i*nvel+n] = m_previousVelFields[(i-1)*nvel+n];
            }
            
            m_previousVelFields[n] = save; 
        }
        
        // Put previous field 
        for(i = 0; i < nvel; ++i)
        {
            m_fields[m_velocity[i]]->BwdTrans(m_fields[m_velocity[i]]->GetCoeffs(),
                                             m_fields[m_velocity[i]]->UpdatePhys());
            Vmath::Vcopy(npts,m_fields[m_velocity[i]]->GetPhys(),1,
                         m_previousVelFields[i],1);   
        }

        if(nstep == 0)// initialise all levels with first field 
        {
            for(n = 0; n < nvel; ++n)
            {
                for(i = 1; i < nblocks; ++i)
                {
                    Vmath::Vcopy(npts,m_fields[m_velocity[n]]->GetPhys(),1,
                                 m_previousVelFields[i*nvel+n],1);   
                    
                }
            }
        }
    }

void Nektar::SubSteppingExtrapolate::v_SubStepSetPressureBCs ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray, NekDouble  Aii_Dt, NekDouble  kinvis  )

protectedvirtual

Implements Nektar::Extrapolate.

Definition at line 222 of file SubSteppingExtrapolate.cpp.

References AddDuDt(), Nektar::Extrapolate::EvaluatePressureBCs(), Nektar::Extrapolate::m_fields, and Nektar::Extrapolate::m_velocity.

    {
        int nConvectiveFields =m_fields.num_elements()-1;
        Array<OneD, Array<OneD, NekDouble> > velfields(nConvectiveFields);
        
        for(int i = 0; i < nConvectiveFields; ++i)
        {
            velfields[i] = m_fields[m_velocity[i]]->GetPhys(); 
        }

        EvaluatePressureBCs(velfields,inarray,kinvis);
        
        AddDuDt(inarray,Aii_Dt);
    }

Member Data Documentation

std::string Nektar::SubSteppingExtrapolate::className

static

Initial value:

= GetExtrapolateFactory().RegisterCreatorFunction(
        "SubStepping",
        SubSteppingExtrapolate::create,
        "SubStepping")

Name of class.

Registers the class with the Factory.

Definition at line 76 of file SubSteppingExtrapolate.h.

NekDouble Nektar::SubSteppingExtrapolate::m_cflSafetyFactor

protected

Definition at line 149 of file SubSteppingExtrapolate.h.

Referenced by GetSubstepTimeStep(), SubSteppingExtrapolate(), and v_SubStepAdvance().

int Nektar::SubSteppingExtrapolate::m_infosteps

protected

Definition at line 150 of file SubSteppingExtrapolate.h.

Referenced by SubSteppingExtrapolate(), and v_SubStepAdvance().

Array<OneD, Array<OneD, NekDouble> > Nektar::SubSteppingExtrapolate::m_previousVelFields

protected

Definition at line 147 of file SubSteppingExtrapolate.h.

Referenced by SubStepExtrapolateField(), v_SubSteppingTimeIntegration(), and v_SubStepSaveFields().

LibUtilities::TimeIntegrationSchemeOperators Nektar::SubSteppingExtrapolate::m_subStepIntegrationOps

protected

Definition at line 145 of file SubSteppingExtrapolate.h.

Referenced by v_SubStepAdvance(), and v_SubSteppingTimeIntegration().

LibUtilities::TimeIntegrationWrapperSharedPtr Nektar::SubSteppingExtrapolate::m_subStepIntegrationScheme

protected

Definition at line 144 of file SubSteppingExtrapolate.h.

Referenced by v_SubStepAdvance(), and v_SubSteppingTimeIntegration().

int Nektar::SubSteppingExtrapolate::minsubsteps

protected

Definition at line 151 of file SubSteppingExtrapolate.h.

Referenced by SubSteppingExtrapolate(), and v_SubStepAdvance().