#include <UnsteadyDiffusion.h>

Inheritance diagram for Nektar::UnsteadyDiffusion:

Collaboration diagram for Nektar::UnsteadyDiffusion:

Public Member Functions
virtual	~UnsteadyDiffusion ()
	Destructor. More...

Public Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
virtual SOLVER_UTILS_EXPORT	~UnsteadySystem ()
	Destructor. More...

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep (const Array< OneD, const Array< OneD, NekDouble > > &inarray)
	Calculate the larger time-step mantaining the problem stable. More...

Public Member Functions inherited from Nektar::SolverUtils::EquationSystem
virtual SOLVER_UTILS_EXPORT	~EquationSystem ()
	Destructor. More...

SOLVER_UTILS_EXPORT void	SetUpTraceNormals (void)

SOLVER_UTILS_EXPORT void	InitObject ()
	Initialises the members of this object. More...

SOLVER_UTILS_EXPORT void	DoInitialise ()
	Perform any initialisation necessary before solving the problem. More...

SOLVER_UTILS_EXPORT void	DoSolve ()
	Solve the problem. More...

SOLVER_UTILS_EXPORT void	TransCoeffToPhys ()
	Transform from coefficient to physical space. More...

SOLVER_UTILS_EXPORT void	TransPhysToCoeff ()
	Transform from physical to coefficient space. More...

SOLVER_UTILS_EXPORT void	Output ()
	Perform output operations after solve. More...

SOLVER_UTILS_EXPORT NekDouble	LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Linf error computation. More...

SOLVER_UTILS_EXPORT std::string	GetSessionName ()
	Get Session name. More...

template<class T >
boost::shared_ptr< T >	as ()

SOLVER_UTILS_EXPORT void	ResetSessionName (std::string newname)
	Reset Session name. More...

SOLVER_UTILS_EXPORT LibUtilities::SessionReaderSharedPtr	GetSession ()
	Get Session name. More...

SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	GetPressure ()
	Get pressure field if available. More...

SOLVER_UTILS_EXPORT void	PrintSummary (std::ostream &out)
	Print a summary of parameters and solver characteristics. More...

SOLVER_UTILS_EXPORT void	SetLambda (NekDouble lambda)
	Set parameter m_lambda. More...

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. More...

SOLVER_UTILS_EXPORT void	EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, Array< OneD, NekDouble > > &pFields, const std::string &pName, const NekDouble &pTime=0.0, const int domain=0)
	Populate given fields with the function from session. More...

SOLVER_UTILS_EXPORT void	EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const std::string &pName, const NekDouble &pTime=0.0, const int domain=0)
	Populate given fields with the function from session. More...

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. More...

SOLVER_UTILS_EXPORT void	InitialiseBaseFlow (Array< OneD, Array< OneD, NekDouble > > &base)
	Perform initialisation of the base flow. More...

SOLVER_UTILS_EXPORT void	SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)
	Initialise the data in the dependent fields. More...

SOLVER_UTILS_EXPORT void	EvaluateExactSolution (int field, Array< OneD, NekDouble > &outfield, const NekDouble time)
	Evaluates an exact solution. More...

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. More...

SOLVER_UTILS_EXPORT NekDouble	L2Error (unsigned int field, bool Normalised=false)
	Compute the L2 error of the fields. More...

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]. More...

SOLVER_UTILS_EXPORT void	WeakAdvectionGreensDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\nabla \phi \cdot F)$ . More...

SOLVER_UTILS_EXPORT void	WeakAdvectionDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\phi, \nabla \cdot F)$ . More...

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 $(\phi, V\cdot \nabla u)$ . More...

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. More...

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. More...

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. More...

SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n)
	Write checkpoint file of m_fields. More...

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. More...

SOLVER_UTILS_EXPORT void	Checkpoint_BaseFlow (const int n)
	Write base flow file of m_fields. More...

SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname)
	Write field data to the given filename. More...

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. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
	Input field data from the given file. More...

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. More...

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. More...

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. More...

SOLVER_UTILS_EXPORT void	ScanForHistoryPoints ()
	Builds map of which element holds each history point. More...

SOLVER_UTILS_EXPORT void	WriteHistoryData (std::ostream &out)
	Probe each history point and write to file. More...

SOLVER_UTILS_EXPORT void	SessionSummary (SummaryList &vSummary)
	Write out a session summary. More...

SOLVER_UTILS_EXPORT Array < OneD, MultiRegions::ExpListSharedPtr > &	UpdateFields ()

SOLVER_UTILS_EXPORT LibUtilities::FieldMetaDataMap &	UpdateFieldMetaDataMap ()
	Get hold of FieldInfoMap so it can be updated. More...

SOLVER_UTILS_EXPORT NekDouble	GetFinalTime ()
	Return final time. More...

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	SetSteps (const int steps)

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 std::string &s1, const std::string &s2)
	Perform a case-insensitive string comparison. More...

SOLVER_UTILS_EXPORT int	GetCheckpointNumber ()

SOLVER_UTILS_EXPORT void	SetCheckpointNumber (int num)

SOLVER_UTILS_EXPORT int	GetCheckpointSteps ()

SOLVER_UTILS_EXPORT void	SetCheckpointSteps (int num)

SOLVER_UTILS_EXPORT void	SetTime (const NekDouble time)

SOLVER_UTILS_EXPORT void	SetInitialStep (const int step)

SOLVER_UTILS_EXPORT void	SetBoundaryConditions (NekDouble time)
	Evaluates the boundary conditions at the given time. More...

virtual SOLVER_UTILS_EXPORT bool	v_NegatedOp ()
	Virtual function to identify if operator is negated in DoSolve. More...

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

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

Protected Member Functions
virtual void	v_GenerateSummary (SummaryList &s)
	Print a summary of time stepping parameters. More...

	UnsteadyDiffusion (const LibUtilities::SessionReaderSharedPtr &pSession)

virtual void	v_InitObject ()
	Initialisation object for the unsteady diffusion problem. More...

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. More...

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. More...

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. More...

Protected Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
SOLVER_UTILS_EXPORT	UnsteadySystem (const LibUtilities::SessionReaderSharedPtr &pSession)
	Initialises UnsteadySystem class members. More...

SOLVER_UTILS_EXPORT NekDouble	MaxTimeStepEstimator ()
	Get the maximum timestep estimator for cfl control. More...

virtual SOLVER_UTILS_EXPORT void	v_DoSolve ()
	Solves an unsteady problem. More...

virtual SOLVER_UTILS_EXPORT void	v_DoInitialise ()
	Sets up initial conditions. More...

virtual SOLVER_UTILS_EXPORT void	v_AppendOutput1D (Array< OneD, Array< OneD, NekDouble > > &solution1D)
	Print the solution at each solution point in a txt file. More...

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. More...

virtual SOLVER_UTILS_EXPORT bool	v_PreIntegrate (int step)

virtual SOLVER_UTILS_EXPORT bool	v_PostIntegrate (int step)

virtual SOLVER_UTILS_EXPORT bool	v_SteadyStateCheck (int step)

SOLVER_UTILS_EXPORT void	CheckForRestartTime (NekDouble &time)

SOLVER_UTILS_EXPORT void	SVVVarDiffCoeff (const Array< OneD, Array< OneD, NekDouble > > vel, StdRegions::VarCoeffMap &varCoeffMap)
	Evaluate the SVV diffusion coefficient according to Moura's paper where it should proportional to h time velocity. More...

Protected Member Functions inherited from Nektar::SolverUtils::EquationSystem
SOLVER_UTILS_EXPORT	EquationSystem (const LibUtilities::SessionReaderSharedPtr &pSession)
	Initialises EquationSystem class members. More...

int	nocase_cmp (const std::string &s1, const std::string &s2)

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. More...

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. More...

virtual SOLVER_UTILS_EXPORT void	v_TransCoeffToPhys ()
	Virtual function for transformation to physical space. More...

virtual SOLVER_UTILS_EXPORT void	v_TransPhysToCoeff ()
	Virtual function for transformation to coefficient space. More...

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. More...

LibUtilities::TimeIntegrationWrapperSharedPtr	m_intScheme
	Wrapper to the time integration scheme. More...

LibUtilities::TimeIntegrationSchemeOperators	m_ode
	The time integration scheme operators to use. More...

LibUtilities::TimeIntegrationSolutionSharedPtr	m_intSoln

NekDouble	m_epsilon

bool	m_explicitDiffusion
	Indicates if explicit or implicit treatment of diffusion is used. More...

bool	m_explicitAdvection
	Indicates if explicit or implicit treatment of advection is used. More...

bool	m_explicitReaction
	Indicates if explicit or implicit treatment of reaction is used. More...

bool	m_homoInitialFwd
	Flag to determine if simulation should start in homogeneous forward transformed state. More...

std::vector< int >	m_intVariables

std::vector< FilterSharedPtr >	m_filters

Protected Attributes inherited from Nektar::SolverUtils::EquationSystem
LibUtilities::CommSharedPtr	m_comm
	Communicator. More...

LibUtilities::SessionReaderSharedPtr	m_session
	The session reader. More...

LibUtilities::FieldIOSharedPtr	m_fld
	Field input/output. More...

std::map< std::string, Array < OneD, Array< OneD, float > > >	m_interpWeights
	Map of the interpolation weights for a specific filename. More...

std::map< std::string, Array < OneD, Array< OneD, unsigned int > > >	m_interpInds
	Map of the interpolation indices for a specific filename. More...

Array< OneD, MultiRegions::ExpListSharedPtr >	m_fields
	Array holding all dependent variables. More...

Array< OneD, MultiRegions::ExpListSharedPtr >	m_base
	Base fields. More...

Array< OneD, MultiRegions::ExpListSharedPtr >	m_derivedfields
	Array holding all dependent variables. More...

SpatialDomains::BoundaryConditionsSharedPtr	m_boundaryConditions
	Pointer to boundary conditions object. More...

SpatialDomains::MeshGraphSharedPtr	m_graph
	Pointer to graph defining mesh. More...

std::string	m_sessionName
	Name of the session. More...

NekDouble	m_time
	Current time of simulation. More...

int	m_initialStep
	Number of the step where the simulation should begin. More...

NekDouble	m_fintime
	Finish time of the simulation. More...

NekDouble	m_timestep
	Time step size. More...

NekDouble	m_lambda
	Lambda constant in real system if one required. More...

std::set< std::string >	m_loadedFields

NekDouble	m_checktime
	Time between checkpoints. More...

int	m_nchk
	Number of checkpoints written so far. More...

int	m_steps
	Number of steps to take. More...

int	m_checksteps
	Number of steps between checkpoints. More...

int	m_spacedim
	Spatial dimension (>= expansion dim). More...

int	m_expdim
	Expansion dimension. More...

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...

bool	m_useFFT
	Flag to determine if FFT is used for homogeneous transform. More...

bool	m_homogen_dealiasing
	Flag to determine if dealiasing is used for homogeneous simulations. More...

bool	m_specHP_dealiasing
	Flag to determine if dealisising is usde for the Spectral/hp element discretisation. More...

enum MultiRegions::ProjectionType	m_projectionType
	Type of projection; e.g continuous or discontinuous. More...

Array< OneD, Array< OneD, NekDouble > >	m_traceNormals
	Array holding trace normals for DG simulations in the forwards direction. More...

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_gradtan
	1 x nvariable x nq More...

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_tanbasis
	2 x m_spacedim x nq More...

Array< OneD, bool >	m_checkIfSystemSingular
	Flag to indicate if the fields should be checked for singularity. More...

LibUtilities::FieldMetaDataMap	m_fieldMetaDataMap
	Map to identify relevant solver info to dump in output fields. More...

int	m_NumQuadPointsError
	Number of Quadrature points used to work out the error. More...

enum HomogeneousType	m_HomogeneousType

NekDouble	m_LhomX
	physical length in X direction (if homogeneous) More...

NekDouble	m_LhomY
	physical length in Y direction (if homogeneous) 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...

int	m_HomoDirec
	number of homogenous directions More...

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). More...

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 135 of file UnsteadyDiffusion.cpp.

136 {

137 }

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

protected

Definition at line 46 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.

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

                                                                     {
             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 225 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 180 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 158 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 276 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 139 of file UnsteadyDiffusion.cpp.

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

     {
         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 55 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, m_waveFreq, and Nektar::SolverUtils::UnsteadySystem::v_InitObject().

     {
         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