#include <UnsteadyViscousBurgers.h>

Inheritance diagram for Nektar::UnsteadyViscousBurgers:

Collaboration diagram for Nektar::UnsteadyViscousBurgers:

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

Public Member Functions inherited from Nektar::SolverUtils::AdvectionSystem
SOLVER_UTILS_EXPORT	AdvectionSystem (const LibUtilities::SessionReaderSharedPtr &pSession)

virtual SOLVER_UTILS_EXPORT	~AdvectionSystem ()

AdvectionSharedPtr	GetAdvObject ()
	Returns the advection object held by this instance. 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 string &s1, const 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 SolverUtils::EquationSystemSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession)
	Creates an instance of this class. More...

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

Protected Member Functions
	UnsteadyViscousBurgers (const LibUtilities::SessionReaderSharedPtr &pSession)
	Session reader. More...

void	GetFluxVectorAdv (const Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &flux)
	Evaluate the flux at each solution point for the advection part. More...

void	GetFluxVectorDiff (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)
	Evaluate the flux at each solution point for the diffusion part. More...

virtual void	DoOdeRhs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Compute the RHS. More...

void	DoOdeProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Perform the projection. More...

virtual void	DoImplicitSolve (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, NekDouble time, NekDouble lambda)
	Solve implicitly the diffusion term. More...

Array< OneD, NekDouble > &	GetNormalVelocity (Array< OneD, Array< OneD, NekDouble > > &inarray)
	Get the normal velocity. More...

virtual void	v_InitObject ()
	Initialise the object. More...

virtual void	v_GenerateSummary (SolverUtils::SummaryList &s)
	Print Summary. 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 string &s1, const 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

bool	m_useSpecVanViscVarDiff

NekDouble	m_sVVCutoffRatio

NekDouble	m_sVVDiffCoeff

SolverUtils::RiemannSolverSharedPtr	m_riemannSolver

SolverUtils::DiffusionSharedPtr	m_diffusion

Array< OneD, NekDouble >	m_traceVn

StdRegions::VarCoeffMap	m_varCoeffLap
	Variable Coefficient map for the Laplacian which can be activated as part of SVV or otherwise. More...

int	m_planeNumber

std::vector < SolverUtils::ForcingSharedPtr >	m_forcing
	Forcing terms. More...

Protected Attributes inherited from Nektar::SolverUtils::AdvectionSystem
SolverUtils::AdvectionSharedPtr	m_advObject
	Advection term. More...

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...

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

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...

int	m_NumMode
	Mode to use in case of single mode analysis. More...

Private Attributes
NekDouble	m_waveFreq

NekDouble	m_epsilon

Friends
class	MemoryManager< UnsteadyViscousBurgers >

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 49 of file UnsteadyViscousBurgers.h.

Constructor & Destructor Documentation

Nektar::UnsteadyViscousBurgers::~UnsteadyViscousBurgers ( )

virtual

Destructor.

Unsteady linear advection diffusion equation destructor.

Definition at line 172 of file UnsteadyViscousBurgers.cpp.

173 {

174 }

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

protected

Session reader.

Definition at line 48 of file UnsteadyViscousBurgers.cpp.

References m_planeNumber.

         : UnsteadySystem(pSession),
           AdvectionSystem(pSession),
           m_varCoeffLap(StdRegions::NullVarCoeffMap)
     {
         m_planeNumber = 0;
     }

Member Function Documentation

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

inlinestatic

Creates an instance of this class.

Definition at line 55 of file UnsteadyViscousBurgers.h.

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

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

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

protectedvirtual

Solve implicitly the diffusion term.

Definition at line 315 of file UnsteadyViscousBurgers.cpp.

References Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDiffCoeff, m_epsilon, Nektar::SolverUtils::EquationSystem::m_fields, m_sVVCutoffRatio, m_sVVDiffCoeff, m_useSpecVanVisc, m_useSpecVanViscVarDiff, m_varCoeffLap, Nektar::NullFlagList, Nektar::SolverUtils::EquationSystem::SetBoundaryConditions(), Vmath::Smul(), and Nektar::SolverUtils::UnsteadySystem::SVVVarDiffCoeff().

Referenced by v_InitObject().

     {
         int nvariables = inarray.num_elements();
         int nq = m_fields[0]->GetNpoints();
         
         StdRegions::ConstFactorMap factors;
         factors[StdRegions::eFactorLambda] = 1.0/lambda/m_epsilon;
         
         if(m_useSpecVanVisc)
         {
             factors[StdRegions::eFactorSVVCutoffRatio] = m_sVVCutoffRatio;
             factors[StdRegions::eFactorSVVDiffCoeff]   = m_sVVDiffCoeff/m_epsilon;
         }
 
         Array<OneD, Array< OneD, NekDouble> > F(nvariables);
         F[0] = Array<OneD, NekDouble> (nq*nvariables);
         
         for (int n = 1; n < nvariables; ++n)
         {
             F[n] = F[n-1] + nq;
         }
         
         // 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(nq, -factors[StdRegions::eFactorLambda], 
                         inarray[i], 1, F[i], 1);
         }
         
         //Setting boundary conditions
         SetBoundaryConditions(time);
         
         if(m_useSpecVanViscVarDiff)
         {
             static int cnt = 0;
 
             if(cnt %10 == 0)
             {
                 Array<OneD, Array<OneD, NekDouble> > vel(m_fields.num_elements());
                 for(int i = 0; i < m_fields.num_elements(); ++i)
                 {
                     m_fields[i]->ClearGlobalLinSysManager();
                     vel[i] = m_fields[i]->UpdatePhys();
                 }
                 SVVVarDiffCoeff(vel,m_varCoeffLap);
             }
             ++cnt;
         }
         for (int i = 0; i < nvariables; ++i)
         {
             // Solve a system of equations with Helmholtz solver
             m_fields[i]->HelmSolve(F[i], m_fields[i]->UpdateCoeffs(), 
                                    NullFlagList, factors, m_varCoeffLap);
             
             m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(), outarray[i]);
         }
     }

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

protected

Perform the projection.

Compute the projection for the unsteady advection diffusion problem.

Parameters

inarray	Given fields.
outarray	Calculated solution.
time	Time.

Definition at line 273 of file UnsteadyViscousBurgers.cpp.

References ASSERTL0, Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::MultiRegions::eMixed_CG_Discontinuous, Nektar::SolverUtils::EquationSystem::GetNpoints(), 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:
             {
                 // Do nothing for the moment. 
             }
         default:
             {
                 ASSERTL0(false, "Unknown projection scheme");
                 break;
             }
         }
     }

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

protectedvirtual

Compute the RHS.

Compute the right-hand side for the unsteady linear advection diffusion problem.

Parameters

inarray	Given fields.
outarray	Calculated solution.
time	Time.

Definition at line 216 of file UnsteadyViscousBurgers.cpp.

References Nektar::MultiRegions::eDiscontinuous, Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::AdvectionSystem::m_advObject, m_diffusion, Nektar::SolverUtils::EquationSystem::m_fields, m_forcing, Nektar::SolverUtils::EquationSystem::m_projectionType, Vmath::Neg(), and Vmath::Vadd().

Referenced by v_InitObject().

     {  
         // Number of fields (variables of the problem)
         int nVariables = inarray.num_elements();
         
         // Number of solution points
         int nSolutionPts = GetNpoints();
         
         Array<OneD, Array<OneD, NekDouble> > outarrayDiff(nVariables);
         
         for (int i = 0; i < nVariables; ++i)
         {
             outarrayDiff[i] = Array<OneD, NekDouble>(nSolutionPts, 0.0);
         }
         
         // RHS computation using the new advection base class
         m_advObject->Advect(nVariables, m_fields, inarray,
                             inarray, outarray, time);
         
         // Negate the RHS
         for (int i = 0; i < nVariables; ++i)
         {
             Vmath::Neg(nSolutionPts, outarray[i], 1);
         }
         
         // No explicit diffusion for CG
         if (m_projectionType == MultiRegions::eDiscontinuous)
         {
             m_diffusion->Diffuse(nVariables, m_fields, inarray, outarrayDiff);
 
             for (int i = 0; i < nVariables; ++i)
             {
                 Vmath::Vadd(nSolutionPts, &outarray[i][0], 1, 
                             &outarrayDiff[i][0], 1, &outarray[i][0], 1);
             }
         }
         
         // Add forcing terms
         std::vector<SolverUtils::ForcingSharedPtr>::const_iterator x;
         for (x = m_forcing.begin(); x != m_forcing.end(); ++x)
         {
             // set up non-linear terms
             (*x)->Apply(m_fields, inarray, outarray, time);
         }
     }

void Nektar::UnsteadyViscousBurgers::GetFluxVectorAdv	(	const Array< OneD, Array< OneD, NekDouble > > &	physfield,
		Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &	flux
	)

protected

Evaluate the flux at each solution point for the advection part.

Return the flux vector for the advection part.

Parameters

physfield	Fields.
flux	Resulting flux.

Definition at line 387 of file UnsteadyViscousBurgers.cpp.

References Nektar::SolverUtils::EquationSystem::m_fields, and Vmath::Vmul().

Referenced by v_InitObject().

     {
 
         const int nq = m_fields[0]->GetNpoints();
 
         for (int i = 0; i < flux.num_elements(); ++i)
         {
             for (int j = 0; j < flux[0].num_elements(); ++j)
             {
                 Vmath::Vmul(nq, physfield[i], 1, physfield[j], 1,
                             flux[i][j], 1);
             }
         }
     }

void Nektar::UnsteadyViscousBurgers::GetFluxVectorDiff	(	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

Evaluate the flux at each solution point for the diffusion part.

Return the flux vector for the diffusion part.

Parameters

i	Equation number.
j	Spatial direction.
physfield	Fields.
derivatives	First order derivatives.
flux	Resulting flux.

Definition at line 413 of file UnsteadyViscousBurgers.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);
     }

Array< OneD, NekDouble > & Nektar::UnsteadyViscousBurgers::GetNormalVelocity ( Array< OneD, Array< OneD, NekDouble > > & inarray )

protected

Get the normal velocity.

Get the normal velocity for the unsteady linear advection diffusion equation.

Definition at line 180 of file UnsteadyViscousBurgers.cpp.

References Nektar::SolverUtils::EquationSystem::GetTraceNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_traceNormals, m_traceVn, Vmath::Vvtvp(), and Vmath::Zero().

     {   
         // Number of trace (interface) points
         int i;
         int nTracePts = GetTraceNpoints();
 
         // Auxiliary variable to compute the normal velocity
         Array<OneD, NekDouble> tmp(nTracePts);
         m_traceVn = Array<OneD, NekDouble>(nTracePts, 0.0);
 
         // Reset the normal velocity
         Vmath::Zero(nTracePts, m_traceVn, 1);
 
         for (i = 0; i < inarray.num_elements(); ++i)
         {
             m_fields[0]->ExtractTracePhys(inarray[i], tmp);
 
             Vmath::Vvtvp(nTracePts,
                          m_traceNormals[i], 1,
                          tmp, 1,
                          m_traceVn, 1,
                          m_traceVn, 1);
         }
         
         return m_traceVn;
     }

void Nektar::UnsteadyViscousBurgers::v_GenerateSummary ( SolverUtils::SummaryList & s )

protectedvirtual

Print Summary.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 427 of file UnsteadyViscousBurgers.cpp.

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

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

void Nektar::UnsteadyViscousBurgers::v_InitObject ( )

protectedvirtual

Initialise the object.

Initialisation object for the unsteady linear advection diffusion equation.

Reimplemented from Nektar::SolverUtils::AdvectionSystem.

Definition at line 61 of file UnsteadyViscousBurgers.cpp.

     {
         AdvectionSystem::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);
         m_session->MatchSolverInfo(
             "SpectralVanishingViscosity", "VarDiff", m_useSpecVanViscVarDiff, false);
         if(m_useSpecVanViscVarDiff)
         {
             m_useSpecVanVisc = true;
         }
         
         if(m_useSpecVanVisc)
         {
             m_session->LoadParameter("SVVCutoffRatio",m_sVVCutoffRatio,0.75);
             m_session->LoadParameter("SVVDiffCoeff",m_sVVDiffCoeff,0.1);
         }        
 
         // Type of advection and diffusion classes to be used
         switch(m_projectionType)
         {
             // Discontinuous field 
             case MultiRegions::eDiscontinuous:
             {
                 ASSERTL0(false,"Need to implement for DG");
                 // Do not forwards transform initial condition
                 m_homoInitialFwd = false;
 
                 // Advection term
                 string advName;
                 string riemName; 
                 m_session->LoadSolverInfo("AdvectionType", advName, "WeakDG");
                 m_advObject = SolverUtils::GetAdvectionFactory().
                     CreateInstance(advName, advName);
                 m_advObject->SetFluxVector(&UnsteadyViscousBurgers::
                                            GetFluxVectorAdv, this);
                 m_session->LoadSolverInfo("UpwindType", riemName, "Upwind");
                 m_riemannSolver = SolverUtils::GetRiemannSolverFactory().
                     CreateInstance(riemName);
                 m_advObject->SetRiemannSolver(m_riemannSolver);
                 m_advObject->InitObject      (m_session, m_fields);
                 
                 // Diffusion term
                 std::string diffName;
                 m_session->LoadSolverInfo("DiffusionType", diffName, "LDG");
                 m_diffusion = SolverUtils::GetDiffusionFactory().
                     CreateInstance(diffName, diffName);
                 m_diffusion->SetFluxVector(&UnsteadyViscousBurgers::
                                            GetFluxVectorDiff, this);
                 m_diffusion->InitObject(m_session, m_fields);
                 break;
             }
             // Continuous field 
             case MultiRegions::eGalerkin:
             case MultiRegions::eMixed_CG_Discontinuous:
             {
                 // Advection term
                 std::string advName;
                 m_session->LoadSolverInfo("AdvectionType", advName, 
                                           "NonConservative");
                 m_advObject = SolverUtils::GetAdvectionFactory().
                     CreateInstance(advName, advName);
                 m_advObject->SetFluxVector(&UnsteadyViscousBurgers::
                                            GetFluxVectorAdv, this);
                 
                 if(m_useSpecVanViscVarDiff)
                 {
                     Array<OneD, Array<OneD, NekDouble> > vel(m_fields.num_elements());
                     for(int i = 0; i < m_fields.num_elements(); ++i)
                     {
                         vel[i] = m_fields[i]->UpdatePhys();
                     }
                     SVVVarDiffCoeff(vel,m_varCoeffLap);
                 }
 
                 // 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
                 break;
             }
             default:
             {
                 ASSERTL0(false, "Unsupported projection type.");
                 break;
             }
         }
         
         // Forcing terms
         m_forcing = SolverUtils::Forcing::Load(m_session, m_fields,
                                                m_fields.num_elements());
         
         m_ode.DefineImplicitSolve (&UnsteadyViscousBurgers::DoImplicitSolve, this);
         m_ode.DefineOdeRhs        (&UnsteadyViscousBurgers::DoOdeRhs,        this);
         
         if (m_projectionType == MultiRegions::eDiscontinuous &&
             m_explicitDiffusion == 1)
         {    
             m_ode.DefineProjection(&UnsteadyViscousBurgers::DoOdeProjection, this);
         }
     }

Friends And Related Function Documentation

friend class MemoryManager< UnsteadyViscousBurgers >

friend

Definition at line 52 of file UnsteadyViscousBurgers.h.

Member Data Documentation

string Nektar::UnsteadyViscousBurgers::className

static

Initial value:

= SolverUtils::GetEquationSystemFactory().RegisterCreatorFunction(
                "UnsteadyViscousBurgers",
                UnsteadyViscousBurgers::create)

Name of class.

Definition at line 64 of file UnsteadyViscousBurgers.h.

SolverUtils::DiffusionSharedPtr Nektar::UnsteadyViscousBurgers::m_diffusion

protected

Definition at line 75 of file UnsteadyViscousBurgers.h.

Referenced by DoOdeRhs(), and v_InitObject().

NekDouble Nektar::UnsteadyViscousBurgers::m_epsilon

private

Definition at line 135 of file UnsteadyViscousBurgers.h.

Referenced by DoImplicitSolve(), and v_InitObject().

std::vector<SolverUtils::ForcingSharedPtr> Nektar::UnsteadyViscousBurgers::m_forcing

protected