#include <UnsteadyDiffusion.h>

Inheritance diagram for Nektar::UnsteadyDiffusion:

Collaboration diagram for Nektar::UnsteadyDiffusion:

Public Member Functions
virtual	~UnsteadyDiffusion ()
	Destructor.
Public Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
virtual SOLVER_UTILS_EXPORT	~UnsteadySystem ()
	Destructor.
SOLVER_UTILS_EXPORT NekDouble	GetTimeStep (const Array< OneD, const Array< OneD, NekDouble > > &inarray)
	Calculate the larger time-step mantaining the problem stable.
Public Member Functions inherited from Nektar::SolverUtils::EquationSystem
virtual SOLVER_UTILS_EXPORT	~EquationSystem ()
	Destructor.
SOLVER_UTILS_EXPORT void	SetUpTraceNormals (void)
SOLVER_UTILS_EXPORT void	InitObject ()
	Initialises the members of this object.
SOLVER_UTILS_EXPORT void	DoInitialise ()
	Perform any initialisation necessary before solving the problem.
SOLVER_UTILS_EXPORT void	DoSolve ()
	Solve the problem.
SOLVER_UTILS_EXPORT void	TransCoeffToPhys ()
	Transform from coefficient to physical space.
SOLVER_UTILS_EXPORT void	TransPhysToCoeff ()
	Transform from physical to coefficient space.
SOLVER_UTILS_EXPORT void	Output ()
	Perform output operations after solve.
SOLVER_UTILS_EXPORT NekDouble	LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Linf error computation.
SOLVER_UTILS_EXPORT std::string	GetSessionName ()
	Get Session name.
template<class T >
boost::shared_ptr< T >	as ()
SOLVER_UTILS_EXPORT void	ResetSessionName (std::string newname)
	Reset Session name.
SOLVER_UTILS_EXPORT LibUtilities::SessionReaderSharedPtr	GetSession ()
	Get Session name.
SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	GetPressure ()
	Get pressure field if available.
SOLVER_UTILS_EXPORT void	PrintSummary (std::ostream &out)
	Print a summary of parameters and solver characteristics.
SOLVER_UTILS_EXPORT void	SetLambda (NekDouble lambda)
	Set parameter m_lambda.
SOLVER_UTILS_EXPORT void	EvaluateFunction (Array< OneD, Array< OneD, NekDouble > > &pArray, std::string pFunctionName, const NekDouble pTime=0.0, const int domain=0)
	Evaluates a function as specified in the session file.
SOLVER_UTILS_EXPORT void	EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, Array< OneD, NekDouble > > &pFields, const std::string &pName, const int domain=0)
	Populate given fields with the function from session.
SOLVER_UTILS_EXPORT void	EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const std::string &pName, const int domain=0)
	Populate given fields with the function from session.
SOLVER_UTILS_EXPORT void	EvaluateFunction (std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, const NekDouble &pTime=0.0, const int domain=0)
SOLVER_UTILS_EXPORT std::string	DescribeFunction (std::string pFieldName, const std::string &pFunctionName, const int domain)
	Provide a description of a function for a given field name.
SOLVER_UTILS_EXPORT void	InitialiseBaseFlow (Array< OneD, Array< OneD, NekDouble > > &base)
	Perform initialisation of the base flow.
SOLVER_UTILS_EXPORT void	SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)
	Initialise the data in the dependent fields.
SOLVER_UTILS_EXPORT void	EvaluateExactSolution (int field, Array< OneD, NekDouble > &outfield, const NekDouble time)
	Evaluates an exact solution.
SOLVER_UTILS_EXPORT NekDouble	L2Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln, bool Normalised=false)
	Compute the L2 error between fields and a given exact solution.
SOLVER_UTILS_EXPORT NekDouble	L2Error (unsigned int field, bool Normalised=false)
	Compute the L2 error of the fields.
SOLVER_UTILS_EXPORT Array < OneD, NekDouble >	ErrorExtraPoints (unsigned int field)
	Compute error (L2 and L_inf) over an larger set of quadrature points return [L2 Linf].
SOLVER_UTILS_EXPORT void	WeakAdvectionGreensDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\nabla \phi \cdot F)$ .
SOLVER_UTILS_EXPORT void	WeakAdvectionDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\phi, \nabla \cdot F)$ .
SOLVER_UTILS_EXPORT void	WeakAdvectionNonConservativeForm (const Array< OneD, Array< OneD, NekDouble > > &V, const Array< OneD, const NekDouble > &u, Array< OneD, NekDouble > &outarray, bool UseContCoeffs=false)
	Compute the inner product $(\phi, V\cdot \nabla u)$ .
f SOLVER_UTILS_EXPORT void	AdvectionNonConservativeForm (const Array< OneD, Array< OneD, NekDouble > > &V, const Array< OneD, const NekDouble > &u, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wk=NullNekDouble1DArray)
	Compute the non-conservative advection.
SOLVER_UTILS_EXPORT void	WeakDGAdvection (const Array< OneD, Array< OneD, NekDouble > > &InField, Array< OneD, Array< OneD, NekDouble > > &OutField, bool NumericalFluxIncludesNormal=true, bool InFieldIsInPhysSpace=false, int nvariables=0)
	Calculate the weak discontinuous Galerkin advection.
SOLVER_UTILS_EXPORT void	WeakDGDiffusion (const Array< OneD, Array< OneD, NekDouble > > &InField, Array< OneD, Array< OneD, NekDouble > > &OutField, bool NumericalFluxIncludesNormal=true, bool InFieldIsInPhysSpace=false)
	Calculate weak DG Diffusion in the LDG form.
SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n)
	Write checkpoint file of m_fields.
SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
	Write checkpoint file of custom data fields.
SOLVER_UTILS_EXPORT void	Checkpoint_BaseFlow (const int n)
	Write base flow file of m_fields.
SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname)
	Write field data to the given filename.
SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
	Write input fields to the given filename.
SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
	Input field data from the given file.
SOLVER_UTILS_EXPORT void	ImportFldToMultiDomains (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const int ndomains)
	Input field data from the given file to multiple domains.
SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, std::vector< std::string > &fieldStr, Array< OneD, Array< OneD, NekDouble > > &coeffs)
	Output a field. Input field data into array from the given file.
SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, MultiRegions::ExpListSharedPtr &pField, std::string &pFieldName)
	Output a field. Input field data into ExpList from the given file.
SOLVER_UTILS_EXPORT void	ScanForHistoryPoints ()
	Builds map of which element holds each history point.
SOLVER_UTILS_EXPORT void	WriteHistoryData (std::ostream &out)
	Probe each history point and write to file.
SOLVER_UTILS_EXPORT void	SessionSummary (SummaryList &vSummary)
	Write out a session summary.
SOLVER_UTILS_EXPORT Array < OneD, MultiRegions::ExpListSharedPtr > &	UpdateFields ()
SOLVER_UTILS_EXPORT LibUtilities::FieldMetaDataMap &	UpdateFieldMetaDataMap ()
	Get hold of FieldInfoMap so it can be updated.
SOLVER_UTILS_EXPORT NekDouble	GetFinalTime ()
	Return final time.
SOLVER_UTILS_EXPORT int	GetNcoeffs ()
SOLVER_UTILS_EXPORT int	GetNcoeffs (const int eid)
SOLVER_UTILS_EXPORT int	GetNumExpModes ()
SOLVER_UTILS_EXPORT const Array< OneD, int >	GetNumExpModesPerExp ()
SOLVER_UTILS_EXPORT int	GetNvariables ()
SOLVER_UTILS_EXPORT const std::string	GetVariable (unsigned int i)
SOLVER_UTILS_EXPORT int	GetTraceTotPoints ()
SOLVER_UTILS_EXPORT int	GetTraceNpoints ()
SOLVER_UTILS_EXPORT int	GetExpSize ()
SOLVER_UTILS_EXPORT int	GetPhys_Offset (int n)
SOLVER_UTILS_EXPORT int	GetCoeff_Offset (int n)
SOLVER_UTILS_EXPORT int	GetTotPoints ()
SOLVER_UTILS_EXPORT int	GetTotPoints (int n)
SOLVER_UTILS_EXPORT int	GetNpoints ()
SOLVER_UTILS_EXPORT int	GetNumElmVelocity ()
SOLVER_UTILS_EXPORT int	GetSteps ()
SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()
SOLVER_UTILS_EXPORT void	CopyFromPhysField (const int i, Array< OneD, NekDouble > &output)
SOLVER_UTILS_EXPORT void	CopyToPhysField (const int i, Array< OneD, NekDouble > &output)
SOLVER_UTILS_EXPORT void	SetStepsToOne ()
SOLVER_UTILS_EXPORT void	ZeroPhysFields ()
SOLVER_UTILS_EXPORT void	FwdTransFields ()
SOLVER_UTILS_EXPORT void	GetFluxVector (const int i, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &flux)
SOLVER_UTILS_EXPORT void	GetFluxVector (const int i, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &fluxX, Array< OneD, Array< OneD, NekDouble > > &fluxY)
SOLVER_UTILS_EXPORT void	GetFluxVector (const int i, const int j, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &flux)
SOLVER_UTILS_EXPORT void	NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numflux)
SOLVER_UTILS_EXPORT void	NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numfluxX, Array< OneD, Array< OneD, NekDouble > > &numfluxY)
SOLVER_UTILS_EXPORT void	NumFluxforScalar (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &uflux)
SOLVER_UTILS_EXPORT void	NumFluxforVector (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &qfield, Array< OneD, Array< OneD, NekDouble > > &qflux)
SOLVER_UTILS_EXPORT void	SetModifiedBasis (const bool modbasis)
SOLVER_UTILS_EXPORT int	NoCaseStringCompare (const string &s1, const string &s2)
	Perform a case-insensitive string comparison.

Static Public Member Functions
static EquationSystemSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession)
	Creates an instance of this class.

Static Public Attributes
static std::string	className = GetEquationSystemFactory().RegisterCreatorFunction("UnsteadyDiffusion", UnsteadyDiffusion::create)
	Name of class.

Protected Member Functions
virtual void	v_GenerateSummary (SummaryList &s)
	Print a summary of time stepping parameters.
	UnsteadyDiffusion (const LibUtilities::SessionReaderSharedPtr &pSession)
virtual void	v_InitObject ()
	Initialisation object for the unsteady diffusion problem.
void	GetFluxVector (const int i, const int j, const Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &derivatives, Array< OneD, Array< OneD, NekDouble > > &flux)
	Return the flux vector for the unsteady diffusion problem.
void	DoOdeRhs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
void	DoOdeProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Compute the projection for the unsteady diffusion problem.
virtual void	DoImplicitSolve (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, NekDouble time, NekDouble lambda)
	Implicit solution of the unsteady diffusion problem.
Protected Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
SOLVER_UTILS_EXPORT	UnsteadySystem (const LibUtilities::SessionReaderSharedPtr &pSession)
	Initialises UnsteadySystem class members.
SOLVER_UTILS_EXPORT NekDouble	MaxTimeStepEstimator ()
	Get the maximum timestep estimator for cfl control.
virtual SOLVER_UTILS_EXPORT void	v_DoSolve ()
	Solves an unsteady problem.
virtual SOLVER_UTILS_EXPORT void	v_DoInitialise ()
	Sets up initial conditions.
virtual SOLVER_UTILS_EXPORT void	v_AppendOutput1D (Array< OneD, Array< OneD, NekDouble > > &solution1D)
	Print the solution at each solution point in a txt file.
virtual SOLVER_UTILS_EXPORT void	v_NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numflux)
virtual SOLVER_UTILS_EXPORT void	v_NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numfluxX, Array< OneD, Array< OneD, NekDouble > > &numfluxY)
virtual SOLVER_UTILS_EXPORT void	v_NumFluxforScalar (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &uflux)
virtual SOLVER_UTILS_EXPORT void	v_NumFluxforVector (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &qfield, Array< OneD, Array< OneD, NekDouble > > &qflux)
virtual SOLVER_UTILS_EXPORT NekDouble	v_GetTimeStep (const Array< OneD, const Array< OneD, NekDouble > > &inarray)
	Return the timestep to be used for the next step in the time-marching loop.
virtual SOLVER_UTILS_EXPORT bool	v_PreIntegrate (int step)
virtual SOLVER_UTILS_EXPORT bool	v_PostIntegrate (int step)
SOLVER_UTILS_EXPORT void	CheckForRestartTime (NekDouble &time)
Protected Member Functions inherited from Nektar::SolverUtils::EquationSystem
SOLVER_UTILS_EXPORT	EquationSystem (const LibUtilities::SessionReaderSharedPtr &pSession)
	Initialises EquationSystem class members.
int	nocase_cmp (const string &s1, const string &s2)
SOLVER_UTILS_EXPORT void	SetBoundaryConditions (NekDouble time)
	Evaluates the boundary conditions at the given time.
virtual SOLVER_UTILS_EXPORT NekDouble	v_LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Virtual function for the L_inf error computation between fields and a given exact solution.
virtual SOLVER_UTILS_EXPORT NekDouble	v_L2Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray, bool Normalised=false)
	Virtual function for the L_2 error computation between fields and a given exact solution.
virtual SOLVER_UTILS_EXPORT void	v_TransCoeffToPhys ()
	Virtual function for transformation to physical space.
virtual SOLVER_UTILS_EXPORT void	v_TransPhysToCoeff ()
	Virtual function for transformation to coefficient space.
virtual SOLVER_UTILS_EXPORT void	v_SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)
virtual SOLVER_UTILS_EXPORT void	v_EvaluateExactSolution (unsigned int field, Array< OneD, NekDouble > &outfield, const NekDouble time)
SOLVER_UTILS_EXPORT void	SetUpBaseFields (SpatialDomains::MeshGraphSharedPtr &mesh)
SOLVER_UTILS_EXPORT void	ImportFldBase (std::string pInfile, SpatialDomains::MeshGraphSharedPtr pGraph)
virtual SOLVER_UTILS_EXPORT void	v_Output (void)
virtual SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	v_GetPressure (void)
virtual SOLVER_UTILS_EXPORT void	v_ExtraFldOutput (std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)

Protected Attributes
bool	m_useSpecVanVisc
NekDouble	m_sVVCutoffRatio
NekDouble	m_sVVDiffCoeff
SolverUtils::DiffusionSharedPtr	m_diffusion
SolverUtils::RiemannSolverSharedPtr	m_riemannSolver
Protected Attributes inherited from Nektar::SolverUtils::UnsteadySystem
int	m_infosteps
	Number of time steps between outputting status information.
LibUtilities::TimeIntegrationWrapperSharedPtr	m_intScheme
	Wrapper to the time integration scheme.
LibUtilities::TimeIntegrationSchemeOperators	m_ode
	The time integration scheme operators to use.
LibUtilities::TimeIntegrationSolutionSharedPtr	m_intSoln
NekDouble	m_epsilon
bool	m_explicitDiffusion
	Indicates if explicit or implicit treatment of diffusion is used.
bool	m_explicitAdvection
	Indicates if explicit or implicit treatment of advection is used.
bool	m_explicitReaction
	Indicates if explicit or implicit treatment of reaction is used.
bool	m_homoInitialFwd
	Flag to determine if simulation should start in homogeneous forward transformed state.
std::vector< int >	m_intVariables
std::vector< FilterSharedPtr >	m_filters
Protected Attributes inherited from Nektar::SolverUtils::EquationSystem
LibUtilities::CommSharedPtr	m_comm
	Communicator.
LibUtilities::SessionReaderSharedPtr	m_session
	The session reader.
LibUtilities::FieldIOSharedPtr	m_fld
	Field input/output.
Array< OneD, MultiRegions::ExpListSharedPtr >	m_fields
	Array holding all dependent variables.
Array< OneD, MultiRegions::ExpListSharedPtr >	m_base
	Base fields.
Array< OneD, MultiRegions::ExpListSharedPtr >	m_derivedfields
	Array holding all dependent variables.
SpatialDomains::BoundaryConditionsSharedPtr	m_boundaryConditions
	Pointer to boundary conditions object.
SpatialDomains::MeshGraphSharedPtr	m_graph
	Pointer to graph defining mesh.
std::string	m_sessionName
	Name of the session.
NekDouble	m_time
	Current time of simulation.
NekDouble	m_fintime
	Finish time of the simulation.
NekDouble	m_timestep
	Time step size.
NekDouble	m_lambda
	Lambda constant in real system if one required.
NekDouble	m_checktime
	Time between checkpoints.
int	m_steps
	Number of steps to take.
int	m_checksteps
	Number of steps between checkpoints.
int	m_spacedim
	Spatial dimension (>= expansion dim).
int	m_expdim
	Expansion dimension.
bool	m_SingleMode
	Flag to determine if single homogeneous mode is used.
bool	m_HalfMode
	Flag to determine if half homogeneous mode is used.
bool	m_MultipleModes
	Flag to determine if use multiple homogenenous modes are used.
bool	m_useFFT
	Flag to determine if FFT is used for homogeneous transform.
bool	m_homogen_dealiasing
	Flag to determine if dealiasing is used for homogeneous simulations.
bool	m_specHP_dealiasing
	Flag to determine if dealisising is usde for the Spectral/hp element discretisation.
enum MultiRegions::ProjectionType	m_projectionType
	Type of projection; e.g continuous or discontinuous.
Array< OneD, Array< OneD, NekDouble > >	m_traceNormals
	Array holding trace normals for DG simulations in the forwards direction.
Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_gradtan
	1 x nvariable x nq
Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_tanbasis
	2 x m_spacedim x nq
Array< OneD, bool >	m_checkIfSystemSingular
	Flag to indicate if the fields should be checked for singularity.
LibUtilities::FieldMetaDataMap	m_fieldMetaDataMap
	Map to identify relevant solver info to dump in output fields.
int	m_NumQuadPointsError
	Number of Quadrature points used to work out the error.
enum HomogeneousType	m_HomogeneousType
NekDouble	m_LhomX
	physical length in X direction (if homogeneous)
NekDouble	m_LhomY
	physical length in Y direction (if homogeneous)
NekDouble	m_LhomZ
	physical length in Z direction (if homogeneous)
int	m_npointsX
	number of points in X direction (if homogeneous)
int	m_npointsY
	number of points in Y direction (if homogeneous)
int	m_npointsZ
	number of points in Z direction (if homogeneous)
int	m_HomoDirec
	number of homogenous directions
int	m_NumMode
	Mode to use in case of single mode analysis.

Private Attributes
NekDouble	m_waveFreq
NekDouble	m_epsilon
StdRegions::VarCoeffMap	m_varcoeff

Friends
class	MemoryManager< UnsteadyDiffusion >

Additional Inherited Members
Public Attributes inherited from Nektar::SolverUtils::UnsteadySystem
NekDouble	m_cflSafetyFactor
	CFL safety factor (comprise between 0 to 1).
Protected Types inherited from Nektar::SolverUtils::EquationSystem
enum	HomogeneousType { eHomogeneous1D, eHomogeneous2D, eHomogeneous3D, eNotHomogeneous }
	Parameter for homogeneous expansions. More...

Detailed Description

Definition at line 46 of file UnsteadyDiffusion.h.

Constructor & Destructor Documentation

Nektar::UnsteadyDiffusion::~UnsteadyDiffusion ( )

virtual

Destructor.

Unsteady diffusion problem destructor.

Definition at line 133 of file UnsteadyDiffusion.cpp.

{

}

Nektar::UnsteadyDiffusion::UnsteadyDiffusion ( const LibUtilities::SessionReaderSharedPtr & pSession )

protected

Definition at line 44 of file UnsteadyDiffusion.cpp.

        : UnsteadySystem(pSession)
    {
    }

Member Function Documentation

static EquationSystemSharedPtr Nektar::UnsteadyDiffusion::create ( const LibUtilities::SessionReaderSharedPtr & pSession )

inlinestatic

Creates an instance of this class.

Definition at line 52 of file UnsteadyDiffusion.h.

                                                                    {
            EquationSystemSharedPtr p = MemoryManager<UnsteadyDiffusion>::AllocateSharedPtr(pSession);
            p->InitObject();
            return p;
        }

void Nektar::UnsteadyDiffusion::DoImplicitSolve	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray,
		NekDouble	time,
		NekDouble	lambda
	)

protectedvirtual

Implicit solution of the unsteady diffusion problem.

Definition at line 223 of file UnsteadyDiffusion.cpp.

References Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::StdRegions::eFactorTau, m_epsilon, Nektar::SolverUtils::EquationSystem::m_fields, m_sVVCutoffRatio, m_sVVDiffCoeff, m_useSpecVanVisc, m_varcoeff, Nektar::NullFlagList, and Vmath::Smul().

Referenced by v_InitObject().

    {
        StdRegions::ConstFactorMap factors;
        int nvariables = inarray.num_elements();
        int npoints    = m_fields[0]->GetNpoints();
        factors[StdRegions::eFactorLambda] = 1.0 / lambda / m_epsilon;
        factors[StdRegions::eFactorTau]    = 1.0;
        
        if(m_useSpecVanVisc)
        {
            factors[StdRegions::eFactorSVVCutoffRatio] = m_sVVCutoffRatio;
            factors[StdRegions::eFactorSVVDiffCoeff]   = m_sVVDiffCoeff/m_epsilon;
        }
        // We solve ( \nabla^2 - HHlambda ) Y[i] = rhs [i]
        // inarray = input: \hat{rhs} -> output: \hat{Y}
        // outarray = output: nabla^2 \hat{Y}
        // where \hat = modal coeffs
        for (int i = 0; i < nvariables; ++i)
        {
            // Multiply 1.0/timestep/lambda
            Vmath::Smul(npoints, 
                        -factors[StdRegions::eFactorLambda], 
                        inarray[i], 1, 
                        m_fields[i]->UpdatePhys(), 1);
            
            // Solve a system of equations with Helmholtz solver
            m_fields[i]->HelmSolve(m_fields[i]->GetPhys(),
                                   m_fields[i]->UpdateCoeffs(), 
                                   NullFlagList, 
                                   factors, 
                                   m_varcoeff);
            
            m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(), 
                                  m_fields[i]->UpdatePhys());
            
            m_fields[i]->SetPhysState(false);
            
            // The solution is Y[i]
            outarray[i] = m_fields[i]->GetPhys();
        }
    }

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

protected

Compute the projection for the unsteady diffusion problem.

Parameters

inarray	Given fields.
outarray	Calculated solution.
time	Time.

Definition at line 178 of file UnsteadyDiffusion.cpp.

References ASSERTL0, Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::MultiRegions::eMixed_CG_Discontinuous, Nektar::SolverUtils::EquationSystem::GetNcoeffs(), Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::SolverUtils::EquationSystem::SetBoundaryConditions(), and Vmath::Vcopy().

Referenced by v_InitObject().

    {
        int i;
        int nvariables = inarray.num_elements();
        SetBoundaryConditions(time);
        switch(m_projectionType)
        {
            case MultiRegions::eDiscontinuous:
            {
                // Just copy over array
                int npoints = GetNpoints();
                
                for(i = 0; i < nvariables; ++i)
                {
                    Vmath::Vcopy(npoints, inarray[i], 1, outarray[i], 1);
                }
                break;
            }
            case MultiRegions::eGalerkin:
            case MultiRegions::eMixed_CG_Discontinuous:
            {
                Array<OneD, NekDouble> coeffs(m_fields[0]->GetNcoeffs());
                for(i = 0; i < nvariables; ++i)
                {
                    m_fields[i]->FwdTrans(inarray[i], coeffs);
                    m_fields[i]->BwdTrans_IterPerExp(coeffs, outarray[i]);
                }
                break;
            }
            default:
            {
                ASSERTL0(false, "Unknown projection scheme");
                break;
            }
        }
    }

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

protected

Definition at line 156 of file UnsteadyDiffusion.cpp.

References m_diffusion, and Nektar::SolverUtils::EquationSystem::m_fields.

Referenced by v_InitObject().

    {
        // Number of fields (variables of the problem)
        int nVariables = inarray.num_elements();
        
        // RHS computation using the new advection base class
        m_diffusion->Diffuse(nVariables, 
                             m_fields, 
                             inarray, 
                             outarray);
    }

void Nektar::UnsteadyDiffusion::GetFluxVector	(	const int	i,
		const int	j,
		const Array< OneD, Array< OneD, NekDouble > > &	physfield,
		Array< OneD, Array< OneD, NekDouble > > &	derivatives,
		Array< OneD, Array< OneD, NekDouble > > &	flux
	)

protected

Return the flux vector for the unsteady diffusion problem.

Definition at line 274 of file UnsteadyDiffusion.cpp.

References Nektar::SolverUtils::EquationSystem::GetNpoints(), Vmath::Vcopy(), and Vmath::Zero().

Referenced by v_InitObject().

    {
        for(int k = 0; k < flux.num_elements(); ++k)
        {
            Vmath::Zero(GetNpoints(), flux[k], 1);
        }
        Vmath::Vcopy(GetNpoints(), physfield[i], 1, flux[j], 1);
    }

void Nektar::UnsteadyDiffusion::v_GenerateSummary ( SummaryList & s )

protectedvirtual

Print a summary of time stepping parameters.

Prints a summary with some information regards the time-stepping.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 137 of file UnsteadyDiffusion.cpp.

References Nektar::SolverUtils::AddSummaryItem(), m_sVVCutoffRatio, m_sVVDiffCoeff, and m_useSpecVanVisc.

    {
        UnsteadySystem::v_GenerateSummary(s);
        if(m_useSpecVanVisc)
        {
            stringstream ss;
            ss << "SVV (cut off = " << m_sVVCutoffRatio
               << ", coeff = "      << m_sVVDiffCoeff << ")";
            AddSummaryItem(s, "Smoothing", ss.str());
        }
    }

void Nektar::UnsteadyDiffusion::v_InitObject ( )

protectedvirtual

Initialisation object for the unsteady diffusion problem.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 53 of file UnsteadyDiffusion.cpp.

References ASSERTL0, Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineImplicitSolve(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineOdeRhs(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineProjection(), DoImplicitSolve(), DoOdeProjection(), DoOdeRhs(), Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::MultiRegions::eMixed_CG_Discontinuous, Nektar::StdRegions::eVarCoeffD00, Nektar::StdRegions::eVarCoeffD11, Nektar::StdRegions::eVarCoeffD22, Nektar::SolverUtils::GetDiffusionFactory(), GetFluxVector(), m_diffusion, m_epsilon, Nektar::SolverUtils::UnsteadySystem::m_explicitDiffusion, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::UnsteadySystem::m_homoInitialFwd, Nektar::SolverUtils::UnsteadySystem::m_ode, Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::SolverUtils::EquationSystem::m_session, m_sVVCutoffRatio, m_sVVDiffCoeff, m_useSpecVanVisc, m_varcoeff, and m_waveFreq.

    {
        UnsteadySystem::v_InitObject();
        m_session->LoadParameter("wavefreq",   m_waveFreq, 0.0);
        m_session->LoadParameter("epsilon",    m_epsilon,  0.0);
        m_session->MatchSolverInfo(
            "SpectralVanishingViscosity", "True", m_useSpecVanVisc, false);
        if(m_useSpecVanVisc)
        {
            m_session->LoadParameter("SVVCutoffRatio",m_sVVCutoffRatio,0.75);
            m_session->LoadParameter("SVVDiffCoeff",m_sVVDiffCoeff,0.1);
        }
        int npoints = m_fields[0]->GetNpoints();
        if(m_session->DefinesParameter("d00"))
        {
            m_varcoeff[StdRegions::eVarCoeffD00]
            = Array<OneD, NekDouble>(npoints, m_session->GetParameter("d00"));
        }
        if(m_session->DefinesParameter("d11"))
        {
            m_varcoeff[StdRegions::eVarCoeffD11]
            = Array<OneD, NekDouble>(npoints, m_session->GetParameter("d11"));
        }
        if(m_session->DefinesParameter("d22"))
        {
            m_varcoeff[StdRegions::eVarCoeffD22]
            = Array<OneD, NekDouble>(npoints, m_session->GetParameter("d22"));
        }
        switch (m_projectionType)
        {
            case MultiRegions::eDiscontinuous:
            {
                std::string diffName;
                // Do not forwards transform initial condition
                m_homoInitialFwd = false;
                m_session->LoadSolverInfo("DiffusionType", diffName, "LDG");
                m_diffusion = SolverUtils::GetDiffusionFactory().
                    CreateInstance(diffName, diffName);
                m_diffusion->SetFluxVector(&UnsteadyDiffusion::
                                           GetFluxVector, this);
                m_diffusion->InitObject(m_session, m_fields);
                break;
            }
        
            case MultiRegions::eGalerkin:
            case MultiRegions::eMixed_CG_Discontinuous:
            {
                // In case of Galerkin explicit diffusion gives an error
                if (m_explicitDiffusion)
                {
                    ASSERTL0(false, "Explicit Galerkin diffusion not set up.");
                }
                // In case of Galerkin implicit diffusion: do nothing
            }
        }
        
        
        if (m_explicitDiffusion)
        {
            m_ode.DefineOdeRhs    (&UnsteadyDiffusion::DoOdeRhs,        this);
            m_ode.DefineProjection(&UnsteadyDiffusion::DoOdeProjection, this);
        }
        else
        {
            m_ode.DefineImplicitSolve(
                                &UnsteadyDiffusion::DoImplicitSolve, this);
        }
    }

Friends And Related Function Documentation

friend class MemoryManager< UnsteadyDiffusion >

friend

Definition at line 49 of file UnsteadyDiffusion.h.

Member Data Documentation

string Nektar::UnsteadyDiffusion::className = GetEquationSystemFactory().RegisterCreatorFunction("UnsteadyDiffusion", UnsteadyDiffusion::create)

static

Name of class.

Definition at line 59 of file UnsteadyDiffusion.h.

SolverUtils::DiffusionSharedPtr Nektar::UnsteadyDiffusion::m_diffusion

protected

Definition at line 68 of file UnsteadyDiffusion.h.

Referenced by DoOdeRhs(), and v_InitObject().

NekDouble Nektar::UnsteadyDiffusion::m_epsilon

private

Definition at line 100 of file UnsteadyDiffusion.h.

Referenced by DoImplicitSolve(), and v_InitObject().

SolverUtils::RiemannSolverSharedPtr Nektar::UnsteadyDiffusion::m_riemannSolver

protected

Definition at line 69 of file UnsteadyDiffusion.h.

NekDouble Nektar::UnsteadyDiffusion::m_sVVCutoffRatio

protected

Definition at line 66 of file UnsteadyDiffusion.h.

Referenced by DoImplicitSolve(), v_GenerateSummary(), and v_InitObject().

NekDouble Nektar::UnsteadyDiffusion::m_sVVDiffCoeff

protected

Definition at line 67 of file UnsteadyDiffusion.h.

Referenced by DoImplicitSolve(), v_GenerateSummary(), and v_InitObject().

bool Nektar::UnsteadyDiffusion::m_useSpecVanVisc

protected

Definition at line 65 of file UnsteadyDiffusion.h.

Referenced by DoImplicitSolve(), v_GenerateSummary(), and v_InitObject().

StdRegions::VarCoeffMap Nektar::UnsteadyDiffusion::m_varcoeff

private

Definition at line 101 of file UnsteadyDiffusion.h.

Referenced by DoImplicitSolve(), and v_InitObject().

NekDouble Nektar::UnsteadyDiffusion::m_waveFreq

private

Definition at line 99 of file UnsteadyDiffusion.h.

Referenced by v_InitObject().

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation