#include <CFLtester.h>

Inheritance diagram for Nektar::CFLtester:

Collaboration diagram for Nektar::CFLtester:

Public Member Functions
virtual	~CFLtester ()

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 EquationSystemSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession)

Static Public Attributes
static std::string	className = GetEquationSystemFactory().RegisterCreatorFunction("CFLtester", CFLtester::create, "Testing CFL restriction")

Protected Member Functions
	CFLtester (const LibUtilities::SessionReaderSharedPtr &pSession)

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)

virtual void	v_InitObject ()
	Init object for UnsteadySystem class. More...

virtual void	v_GetFluxVector (const int i, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &flux)

virtual void	v_NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numflux)

virtual void	v_GenerateSummary (SummaryList &s)
	Print a summary of time stepping parameters. 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 > > &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
Array< OneD, Array< OneD, NekDouble > >	m_velocity

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 Member Functions
virtual NekDouble	v_GetTimeStep (const Array< OneD, int > ExpOrder, const Array< OneD, NekDouble > CFL, NekDouble timeCFL)

virtual NekDouble	v_GetTimeStep (int ExpOrder, NekDouble CFL, NekDouble TimeStability)

Array< OneD, NekDouble >	GetStdVelocity (const Array< OneD, Array< OneD, NekDouble > > inarray)

Friends
class	MemoryManager< CFLtester >

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 81 of file CFLtester.h.

Constructor & Destructor Documentation

Nektar::CFLtester::~CFLtester ( )

virtual

Definition at line 78 of file CFLtester.cpp.

79 {

80 }

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

protected

Definition at line 48 of file CFLtester.cpp.

         : UnsteadySystem(pSession)
     {
     }

Member Function Documentation

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

inlinestatic

Definition at line 86 of file CFLtester.h.

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

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

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

protected

Definition at line 131 of file CFLtester.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 j;
         int nvariables = inarray.num_elements();
         SetBoundaryConditions(time);
 
         switch(m_projectionType)
         {
             case MultiRegions::eDiscontinuous:
             {
                 // Just copy over array
                 int npoints = GetNpoints();
 
                 for(j = 0; j < nvariables; ++j)
                 {
                     Vmath::Vcopy(npoints,inarray[j],1,outarray[j],1);
                 }
             }
             break;
             case MultiRegions::eGalerkin:
             case MultiRegions::eMixed_CG_Discontinuous:
             {
                 Array<OneD, NekDouble> coeffs(m_fields[0]->GetNcoeffs());
 
                 for(j = 0; j < nvariables; ++j)
                 {
                     m_fields[j]->FwdTrans(inarray[j],coeffs);
                     m_fields[j]->BwdTrans_IterPerExp(coeffs,outarray[j]);
                 }
                 break;
             }
             default:
                 ASSERTL0(false,"Unknown projection scheme");
                 break;
         }
     }

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

protected

Definition at line 82 of file CFLtester.cpp.

References Nektar::SolverUtils::EquationSystem::AdvectionNonConservativeForm(), Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::MultiRegions::eMixed_CG_Discontinuous, Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, m_velocity, Vmath::Neg(), and Nektar::SolverUtils::EquationSystem::WeakDGAdvection().

Referenced by v_InitObject().

     {
         int j;
         int nvariables = inarray.num_elements();
         int npoints = GetNpoints();
 
         switch (m_projectionType)
         {
             case MultiRegions::eDiscontinuous:
             {
                 int ncoeffs    = inarray[0].num_elements();
                 Array<OneD, Array<OneD, NekDouble> > WeakAdv(nvariables);
 
                 WeakAdv[0] = Array<OneD, NekDouble>(ncoeffs*nvariables);
                 for(j = 1; j < nvariables; ++j)
                 {
                     WeakAdv[j] = WeakAdv[j-1] + ncoeffs;
                 }
 
                 WeakDGAdvection(inarray, WeakAdv, true, true);
 
                 for(j = 0; j < nvariables; ++j)
                 {
                     m_fields[j]->MultiplyByElmtInvMass(WeakAdv[j], WeakAdv[j]);
                     m_fields[j]->BwdTrans(WeakAdv[j],outarray[j]);
                     Vmath::Neg(npoints,outarray[j],1);
                 }
                 break;
             }
             case MultiRegions::eGalerkin:
             case MultiRegions::eMixed_CG_Discontinuous:
             {
                 // Calculate -V\cdot Grad(u);
                 for(j = 0; j < nvariables; ++j)
                 {
                     AdvectionNonConservativeForm(m_velocity, 
                                                  inarray[j],
                                                  outarray[j]);
                     
                     Vmath::Neg(npoints, outarray[j], 1);
                 }
                 break;
             }
         }
     }

Array< OneD, NekDouble > Nektar::CFLtester::GetStdVelocity ( const Array< OneD, Array< OneD, NekDouble > > inarray )

private

Definition at line 329 of file CFLtester.cpp.

References ASSERTL0, Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::SolverUtils::EquationSystem::m_expdim, and Nektar::SolverUtils::EquationSystem::m_fields.

Referenced by v_GetTimeStep().

     {
         // Checking if the problem is 2D
         ASSERTL0(m_expdim >= 2, "Method not implemented for 1D");
         
         int nTotQuadPoints  = GetTotPoints();
         int n_element       = m_fields[0]->GetExpSize();       
         int nvel            = inarray.num_elements();
         
         NekDouble pntVelocity;
         
         // Getting the standard velocity vector on the 2D normal space
         Array<OneD, Array<OneD, NekDouble> > stdVelocity(nvel);
         Array<OneD, NekDouble> stdV(n_element, 0.0);
         
         for (int i = 0; i < nvel; ++i)
         {
             stdVelocity[i] = Array<OneD, NekDouble>(nTotQuadPoints);
         }
         
         if (nvel == 2)
         {
             for (int el = 0; el < n_element; ++el)
             { 
                 LocalRegions::Expansion2DSharedPtr el2D =
                     m_fields[0]->GetExp(el)->as<LocalRegions::Expansion2D>();
                 int n_points = el2D->GetTotPoints();
                 
                 Array<OneD, const NekDouble> jac  = 
                         el2D->GetGeom2D()->GetMetricInfo()->GetJac();
                 Array<TwoD, const NekDouble> gmat = 
                         el2D->GetGeom2D()->GetMetricInfo()->GetDerivFactors();
                 
                 if (el2D->GetGeom2D()->GetMetricInfo()->GetGtype()
                     == SpatialDomains::eDeformed)
                 {
                     for (int i = 0; i < n_points; i++)
                     {
                         stdVelocity[0][i] = gmat[0][i]*inarray[0][i] 
                         + gmat[2][i]*inarray[1][i];
                         
                         stdVelocity[1][i] = gmat[1][i]*inarray[0][i] 
                         + gmat[3][i]*inarray[1][i];
                     }
                 }
                 else
                 {
                     for (int i = 0; i < n_points; i++)
                     {
                         stdVelocity[0][i] = gmat[0][0]*inarray[0][i] 
                         + gmat[2][0]*inarray[1][i];
                         
                         stdVelocity[1][i] = gmat[1][0]*inarray[0][i] 
                         + gmat[3][0]*inarray[1][i];
                     }
                 }
                 
                 
                 for (int i = 0; i < n_points; i++)
                 {
                     pntVelocity = sqrt(stdVelocity[0][i]*stdVelocity[0][i] 
                                        + stdVelocity[1][i]*stdVelocity[1][i]);
                     
                     if (pntVelocity>stdV[el])
                     {
                         stdV[el] = pntVelocity;
                     }
                 }
             }
         }
         else
         {
             for (int el = 0; el < n_element; ++el)
             { 
                 LocalRegions::Expansion3DSharedPtr el3D =
                     m_fields[0]->GetExp(el)->as<LocalRegions::Expansion3D>();
 
                 int n_points = el3D->GetTotPoints();
                 
                 Array<OneD, const NekDouble> jac =
                         el3D->GetGeom3D()->GetMetricInfo()->GetJac();
                 Array<TwoD, const NekDouble> gmat =
                         el3D->GetGeom3D()->GetMetricInfo()->GetDerivFactors();
                 
                 if (el3D->GetGeom3D()->GetMetricInfo()->GetGtype()
                     == SpatialDomains::eDeformed)
                 {
                     for (int i = 0; i < n_points; i++)
                     {
                         stdVelocity[0][i] = gmat[0][i]*inarray[0][i] 
                         + gmat[3][i]*inarray[1][i] 
                         + gmat[6][i]*inarray[2][i];
                         
                         stdVelocity[1][i] = gmat[1][i]*inarray[0][i] 
                         + gmat[4][i]*inarray[1][i] 
                         + gmat[7][i]*inarray[2][i];
                         
                         stdVelocity[2][i] = gmat[2][i]*inarray[0][i] 
                         + gmat[5][i]*inarray[1][i] 
                         + gmat[8][i]*inarray[2][i];
                     }
                 }
                 else
                 {
                     Array<OneD, const NekDouble> jac =
                             el3D->GetGeom3D()->GetMetricInfo()->GetJac();
                     Array<TwoD, const NekDouble> gmat = 
                             el3D->GetGeom3D()->GetMetricInfo()->GetDerivFactors();
                     
                     for (int i = 0; i < n_points; i++)
                     {
                         stdVelocity[0][i] = gmat[0][0]*inarray[0][i] 
                         + gmat[3][0]*inarray[1][i] 
                         + gmat[6][0]*inarray[2][i];
                         
                         stdVelocity[1][i] = gmat[1][0]*inarray[0][i] 
                         + gmat[4][0]*inarray[1][i] 
                         + gmat[7][0]*inarray[2][i];
                         
                         stdVelocity[2][i] = gmat[2][0]*inarray[0][i] 
                         + gmat[5][0]*inarray[1][i] 
                         + gmat[8][0]*inarray[2][i];
                     }
                 }
                 
                 for (int i = 0; i < n_points; i++)
                 {
                     pntVelocity = sqrt(stdVelocity[0][i]*stdVelocity[0][i] 
                                        + stdVelocity[1][i]*stdVelocity[1][i] 
                                        + stdVelocity[2][i]*stdVelocity[2][i]);
                     
                     if (pntVelocity > stdV[el])
                     {
                         stdV[el] = pntVelocity;
                     }
                 }
             }
         }
         
         return stdV;
     }

void Nektar::CFLtester::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 222 of file CFLtester.cpp.

     {
         UnsteadySystem::v_GenerateSummary(s);
     }

void Nektar::CFLtester::v_GetFluxVector	(	const int	i,
		Array< OneD, Array< OneD, NekDouble > > &	physfield,
		Array< OneD, Array< OneD, NekDouble > > &	flux
	)

protectedvirtual

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 172 of file CFLtester.cpp.

References ASSERTL1, Nektar::SolverUtils::EquationSystem::GetNpoints(), m_velocity, and Vmath::Vmul().

     {
         ASSERTL1(flux.num_elements() == m_velocity.num_elements(),
                  "Dimension of flux array and velocity array do not match");
 
         for (int j = 0; j < flux.num_elements(); ++j)
         {
             Vmath::Vmul(GetNpoints(),
                         physfield[i], 1,
                         m_velocity[j], 1,
                         flux[j], 1);
         }
     }

NekDouble Nektar::CFLtester::v_GetTimeStep	(	const Array< OneD, int >	ExpOrder,
		const Array< OneD, NekDouble >	CFL,
		NekDouble	timeCFL
	)

privatevirtual

Definition at line 229 of file CFLtester.cpp.

References GetStdVelocity(), Nektar::SolverUtils::EquationSystem::m_fields, m_velocity, and Vmath::Vmin().

     { 
         
         int n_element       = m_fields[0]->GetExpSize();
         
         //const NekDouble minLengthStdTri  = 1.414213;
         //const NekDouble minLengthStdQuad = 2.0;
         //const NekDouble cLambda          = 0.2; // Spencer book pag. 317
 
         Array<OneD, NekDouble> tstep      (n_element, 0.0);
         Array<OneD, NekDouble> stdVelocity(n_element, 0.0);
         stdVelocity = GetStdVelocity(m_velocity);
         
         for (int el = 0; el < n_element; ++el)
         {
             int npoints = m_fields[0]->GetExp(el)->GetTotPoints();
             Array<OneD, NekDouble> one2D(npoints, 1.0);
             //NekDouble Area = m_fields[0]->GetExp(el)->Integral(one2D);
             if(boost::dynamic_pointer_cast<LocalRegions::TriExp>(m_fields[0]->GetExp(el)))
             {
                 //tstep[el] =  timeCFL/(stdVelocity[el]*cLambda*(ExpOrder[el]-1)*(ExpOrder[el]-1));
                 //tstep[el] =  timeCFL*minLengthStdTri/(stdVelocity[el]*cLambda*(ExpOrder[el]-1)*(ExpOrder[el]-1));
                 tstep[el] = CFL[el]/(stdVelocity[el]);
             }
             else if(boost::dynamic_pointer_cast<LocalRegions::QuadExp>(m_fields[0]->GetExp(el)))
             { 
                 //tstep[el] =  timeCFL/(stdVelocity[el]*cLambda*(ExpOrder[el]-1)*(ExpOrder[el]-1));
                 //tstep[el] =  timeCFL*minLengthStdQuad/(stdVelocity[el]*cLambda*(ExpOrder[el]-1)*(ExpOrder[el]-1));
                 tstep[el] = CFL[el]/(stdVelocity[el]);
             }
         }
         
         NekDouble TimeStep = Vmath::Vmin(n_element, tstep, 1);
         
         return TimeStep;
     }

NekDouble Nektar::CFLtester::v_GetTimeStep	(	int	ExpOrder,
		NekDouble	CFL,
		NekDouble	TimeStability
	)

privatevirtual

Definition at line 271 of file CFLtester.cpp.

References ASSERTL0, Nektar::EigenvaluesAnaMeshesAB2, Nektar::EigenvaluesAnaMeshesRK2, Nektar::EigenvaluesAnaMeshesRK4, and Nektar::SolverUtils::EquationSystem::m_fields.

     {
         //================================================================
         // This function has been created just to test specific problems, hence is not general
         // and it has been implemented in a rude fashion, as the full CFLtester class.
         // For real CFL calculations refer to the general implementation above. (A.Bolis)
         //================================================================
         
         NekDouble TimeStep;
         NekDouble SpatialStability;
         int n_elements = m_fields[0]->GetExpSize();
         
         //solve ambiguity in windows
         NekDouble n_elem = n_elements;
         NekDouble DH     = sqrt(n_elem);
         
         int H = (int)DH;
         int P = ExpOrder-1;
         
         //================================================================
         // Regular meshes
         
         //SpatialStability = EigenvaluesRegMeshes[H-1][P-1];
         
         //================================================================
         // Anisotropic meshes
         
         if (TimeStability == 1.0) 
         {
             SpatialStability = EigenvaluesAnaMeshesAB2[H/2][P-1];
         }
         else if (TimeStability == 2.0) 
         {
             SpatialStability = EigenvaluesAnaMeshesRK2[H/2][P-1];
         }
         else if (TimeStability == 2.784) 
         {
             SpatialStability = EigenvaluesAnaMeshesRK4[H/2][P-1];
         }
         else 
         {
             ASSERTL0(false,"Dominant eigenvalues database not present for this time-stepping scheme")
         }
         
         //================================================================
         
         TimeStep = (TimeStability/SpatialStability)*CFL;
         
         //================================================================
         
         return TimeStep;
     }

void Nektar::CFLtester::v_InitObject ( )

protectedvirtual

Init object for UnsteadySystem class.

Initialization object for UnsteadySystem class.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 54 of file CFLtester.cpp.

References ASSERTL0, Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineOdeRhs(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineProjection(), DoOdeProjection(), DoOdeRhs(), Nektar::SolverUtils::EquationSystem::EvaluateFunction(), Nektar::SolverUtils::UnsteadySystem::m_explicitAdvection, Nektar::SolverUtils::UnsteadySystem::m_ode, Nektar::SolverUtils::EquationSystem::m_spacedim, and m_velocity.

     {
         UnsteadySystem::v_InitObject();
 
         m_velocity = Array<OneD, Array<OneD, NekDouble> >(m_spacedim);
         std::vector<std::string> vel;
         vel.push_back("Vx");
         vel.push_back("Vy");
         vel.push_back("Vz");
         vel.resize(m_spacedim);
 
         EvaluateFunction(vel, m_velocity, "AdvectionVelocity");
 
         if (m_explicitAdvection)
         {
             m_ode.DefineOdeRhs     (&CFLtester::DoOdeRhs,        this);
             m_ode.DefineProjection (&CFLtester::DoOdeProjection, this);
         }
         else
         {
             ASSERTL0(false, "Implicit unsteady Advection not set up.");
         }
     }

void Nektar::CFLtester::v_NumericalFlux	(	Array< OneD, Array< OneD, NekDouble > > &	physfield,
		Array< OneD, Array< OneD, NekDouble > > &	numflux
	)

protectedvirtual

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 189 of file CFLtester.cpp.

References Nektar::SolverUtils::EquationSystem::GetTraceNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_spacedim, Nektar::SolverUtils::EquationSystem::m_traceNormals, m_velocity, Vmath::Vmul(), and Vmath::Vvtvp().

     {
         int i;
         int nTraceNumPoints = GetTraceNpoints();
         int nvel = m_spacedim;
 
         Array<OneD, NekDouble > Fwd(nTraceNumPoints);
         Array<OneD, NekDouble > Bwd(nTraceNumPoints);
         Array<OneD, NekDouble > Vn (nTraceNumPoints,0.0);
 
         // Get Edge Velocity - Could be stored if time independent
         for (i = 0; i < nvel; ++i)
         {
             m_fields[0]->ExtractTracePhys(m_velocity[i], Fwd);
             Vmath::Vvtvp(nTraceNumPoints,
                          m_traceNormals[i], 1,
                          Fwd, 1, Vn, 1, Vn, 1);
         }
 
         for (i = 0; i < numflux.num_elements(); ++i)
         {
             m_fields[i]->GetFwdBwdTracePhys(physfield[i], Fwd, Bwd);
             //evaulate upwinded m_fields[i]
             m_fields[i]->GetTrace()->Upwind(Vn, Fwd, Bwd, numflux[i]);
             // calculate m_fields[i]*Vn
             Vmath::Vmul(nTraceNumPoints, numflux[i], 1, Vn, 1, numflux[i], 1);
         }
     }

Friends And Related Function Documentation

friend class MemoryManager< CFLtester >

friend

Definition at line 84 of file CFLtester.h.

Member Data Documentation

string Nektar::CFLtester::className = GetEquationSystemFactory().RegisterCreatorFunction("CFLtester", CFLtester::create, "Testing CFL restriction")

static

Definition at line 91 of file CFLtester.h.

Array<OneD, Array<OneD, NekDouble> > Nektar::CFLtester::m_velocity

protected

Definition at line 97 of file CFLtester.h.

Referenced by DoOdeRhs(), v_GetFluxVector(), v_GetTimeStep(), v_InitObject(), and v_NumericalFlux().

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation