#include <VCSMapping.h>

Inheritance diagram for Nektar::VCSMapping:

Collaboration diagram for Nektar::VCSMapping:

Public Member Functions
	VCSMapping (const LibUtilities::SessionReaderSharedPtr &pSession)
	Constructor. More...

void	ApplyIncNSMappingForcing (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)

virtual	~VCSMapping ()

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

Public Member Functions inherited from Nektar::VelocityCorrectionScheme
	VelocityCorrectionScheme (const LibUtilities::SessionReaderSharedPtr &pSession)
	Constructor. More...

virtual	~VelocityCorrectionScheme ()

void	SetUpPressureForcing (const Array< OneD, const Array< OneD, NekDouble > > &fields, Array< OneD, Array< OneD, NekDouble > > &Forcing, const NekDouble aii_Dt)

void	SetUpViscousForcing (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &Forcing, const NekDouble aii_Dt)

void	SolvePressure (const Array< OneD, NekDouble > &Forcing)

void	SolveViscous (const Array< OneD, const Array< OneD, NekDouble > > &Forcing, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble aii_Dt)

void	SolveUnsteadyStokesSystem (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time, const NekDouble a_iixDt)

void	EvaluateAdvection_SetPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)

Public Member Functions inherited from Nektar::IncNavierStokes
virtual	~IncNavierStokes ()

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)

int	GetNConvectiveFields (void)

Array< OneD, int > &	GetVelocity (void)

Array< OneD, NekDouble >	GetElmtCFLVals (void)

NekDouble	GetCFLEstimate (int &elmtid)

void	AddForcing (const SolverUtils::ForcingSharedPtr &pForce)

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 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 SolverUtils::EquationSystemSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession)
	Creates an instance of this class. More...

Static Public Member Functions inherited from Nektar::VelocityCorrectionScheme
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...

Static Public Attributes inherited from Nektar::VelocityCorrectionScheme
static std::string	className
	Name of class. More...

Protected Member Functions
virtual void	v_DoInitialise (void)
	Sets up initial conditions. More...

virtual void	v_SetUpPressureForcing (const Array< OneD, const Array< OneD, NekDouble > > &fields, Array< OneD, Array< OneD, NekDouble > > &Forcing, const NekDouble aii_Dt)

virtual void	v_SetUpViscousForcing (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &Forcing, const NekDouble aii_Dt)

virtual void	v_SolvePressure (const Array< OneD, NekDouble > &Forcing)

virtual void	v_SolveViscous (const Array< OneD, const Array< OneD, NekDouble > > &Forcing, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble aii_Dt)

virtual void	v_EvaluateAdvection_SetPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)

Protected Member Functions inherited from Nektar::VelocityCorrectionScheme
virtual void	v_GenerateSummary (SolverUtils::SummaryList &s)
	Print a summary of time stepping parameters. More...

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

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

virtual Array< OneD, bool >	v_GetSystemSingularChecks ()

virtual int	v_GetForceDimension ()

virtual bool	v_RequireFwdTrans ()

virtual std::string	v_GetExtrapolateStr (void)

virtual std::string	v_GetSubSteppingExtrapolateStr (const std::string &instr)

Protected Member Functions inherited from Nektar::IncNavierStokes
	IncNavierStokes (const LibUtilities::SessionReaderSharedPtr &pSession)
	Constructor. More...

EquationType	GetEquationType (void)

void	EvaluateAdvectionTerms (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)

void	WriteModalEnergy (void)

void	SetBoundaryConditions (NekDouble time)
	time dependent boundary conditions updating More...

void	SetRadiationBoundaryForcing (int fieldid)
	Set Radiation forcing term. More...

void	SetZeroNormalVelocity ()
	Set Normal Velocity Component to Zero. More...

void	SetWomersleyBoundary (const int fldid, const int bndid)
	Set Womersley Profile if specified. More...

void	SetUpWomersley (const int bndid, std::string womstr)
	Set Up Womersley details. More...

bool	CalcSteadyState (void)
	evaluate steady state More...

virtual MultiRegions::ExpListSharedPtr	v_GetPressure ()

virtual bool	v_PreIntegrate (int step)

virtual bool	v_PostIntegrate (int step)

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_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_SteadyStateCheck (int step)

SOLVER_UTILS_EXPORT void	CheckForRestartTime (NekDouble &time, int &nchk)

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_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	EvaluateFunctionExp (std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, const NekDouble &pTime=0.0, const int domain=0)

SOLVER_UTILS_EXPORT void	EvaluateFunctionFld (std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, const NekDouble &pTime=0.0, const int domain=0)

SOLVER_UTILS_EXPORT void	EvaluateFunctionPts (std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, const NekDouble &pTime=0.0, const int domain=0)

SOLVER_UTILS_EXPORT void	LoadPts (std::string funcFilename, std::string filename, Nektar::LibUtilities::PtsFieldSharedPtr &outPts)

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 void	v_ExtraFldOutput (std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)

Protected Attributes
GlobalMapping::MappingSharedPtr	m_mapping

bool	m_verbose

bool	m_implicitPressure

bool	m_implicitViscous

bool	m_neglectViscous

NekDouble	m_pressureTolerance

NekDouble	m_viscousTolerance

NekDouble	m_pressureRelaxation

NekDouble	m_viscousRelaxation

Array< OneD, Array< OneD, NekDouble > >	m_gradP

Protected Attributes inherited from Nektar::VelocityCorrectionScheme
bool	m_useHomo1DSpecVanVisc
	bool to identify if spectral vanishing viscosity is active. More...

bool	m_useSpecVanVisc
	bool to identify if spectral vanishing viscosity is active. More...

NekDouble	m_sVVCutoffRatio
	cutt off ratio from which to start decayhing modes More...

NekDouble	m_sVVDiffCoeff
	Diffusion coefficient of SVV modes. More...

Array< OneD, NekDouble >	m_diffCoeff
	Diffusion coefficients (will be kinvis for velocities) More...

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

Array< OneD, Array< OneD, NekDouble > >	m_F

Protected Attributes inherited from Nektar::IncNavierStokes
ExtrapolateSharedPtr	m_extrapolation

std::ofstream	m_mdlFile
	modal energy file More...

bool	m_SmoothAdvection
	bool to identify if advection term smoothing is requested More...

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

int	m_nConvectiveFields
	Number of fields to be convected;. More...

Array< OneD, int >	m_velocity
	int which identifies which components of m_fields contains the velocity (u,v,w); More...

MultiRegions::ExpListSharedPtr	m_pressure
	Pointer to field holding pressure field. More...

NekDouble	m_kinvis
	Kinematic viscosity. More...

int	m_energysteps
	dump energy to file at steps time More...

int	m_cflsteps
	dump cfl estimate More...

int	m_steadyStateSteps
	Check for steady state at step interval. More...

NekDouble	m_steadyStateTol
	Tolerance to which steady state should be evaluated at. More...

EquationType	m_equationType
	equation type; More...

Array< OneD, Array< OneD, int > >	m_fieldsBCToElmtID
	Mapping from BCs to Elmt IDs. More...

Array< OneD, Array< OneD, int > >	m_fieldsBCToTraceID
	Mapping from BCs to Elmt Edge IDs. More...

Array< OneD, Array< OneD, NekDouble > >	m_fieldsRadiationFactor
	RHS Factor for Radiation Condition. More...

int	m_intSteps
	Number of time integration steps AND Order of extrapolation for pressure boundary conditions. More...

std::map< int, WomersleyParamsSharedPtr >	m_womersleyParams
	Womersley parameters if required. 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...

int	m_nanSteps

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, FieldUtils::Interpolator >	m_interpolators
	Map of interpolator objects. More...

std::map< std::string, std::pair< std::string, LibUtilities::PtsFieldSharedPtr > >	m_loadedPtsFields
	pts fields we already read from disk: {funcFilename: (filename, ptsfield)} More...

std::map< std::string, std::pair< std::string, loadedFldField > >	m_loadedFldFields

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...

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 Member Functions
void	MappingAdvectionCorrection (const Array< OneD, const Array< OneD, NekDouble > > &velPhys, Array< OneD, Array< OneD, NekDouble > > &outarray)

void	MappingAccelerationCorrection (const Array< OneD, const Array< OneD, NekDouble > > &vel, const Array< OneD, const Array< OneD, NekDouble > > &velPhys, Array< OneD, Array< OneD, NekDouble > > &outarray)

void	MappingPressureCorrection (Array< OneD, Array< OneD, NekDouble > > &outarray)

void	MappingViscousCorrection (const Array< OneD, const Array< OneD, NekDouble > > &velPhys, Array< OneD, Array< OneD, NekDouble > > &outarray)

Private Attributes
Array< OneD, Array< OneD, NekDouble > >	m_presForcingCorrection

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 44 of file VCSMapping.h.

Constructor & Destructor Documentation

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

Constructor.

Constructor. Creates ...

Parameters

param

Definition at line 57 of file VCSMapping.cpp.

         : UnsteadySystem(pSession),
           VelocityCorrectionScheme(pSession)  
     {
 
     }

Nektar::VCSMapping::~VCSMapping ( void )

virtual

Destructor

Definition at line 143 of file VCSMapping.cpp.

144 {

145 }

Member Function Documentation

void Nektar::VCSMapping::ApplyIncNSMappingForcing	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray
	)

Explicit terms of the mapping

Definition at line 750 of file VCSMapping.cpp.

References Nektar::SolverUtils::EquationSystem::m_fields, m_implicitPressure, m_implicitViscous, Nektar::IncNavierStokes::m_kinvis, m_mapping, Nektar::IncNavierStokes::m_nConvectiveFields, m_neglectViscous, MappingAccelerationCorrection(), MappingAdvectionCorrection(), MappingPressureCorrection(), MappingViscousCorrection(), Vmath::Smul(), Vmath::Vadd(), and Vmath::Vcopy().

Referenced by v_EvaluateAdvection_SetPressureBCs().

     {
         int physTot = m_fields[0]->GetTotPoints();
         Array<OneD, Array<OneD, NekDouble> >       vel(m_nConvectiveFields);
         Array<OneD, Array<OneD, NekDouble> >       velPhys(m_nConvectiveFields);
         Array<OneD, Array<OneD, NekDouble> >       Forcing(m_nConvectiveFields);
         Array<OneD, Array<OneD, NekDouble> >       tmp(m_nConvectiveFields);
         for (int i = 0; i < m_nConvectiveFields; ++i)
         {
             velPhys[i] = Array<OneD, NekDouble> (physTot, 0.0);
             Forcing[i] = Array<OneD, NekDouble> (physTot, 0.0);
             tmp[i] = Array<OneD, NekDouble> (physTot, 0.0);
         }
         
         // Get fields and store velocity in wavespace and physical space
         if(m_fields[0]->GetWaveSpace())
         {
             for (int i = 0; i < m_nConvectiveFields; ++i)
             {
                 vel[i] = inarray[i];
                 m_fields[0]->HomogeneousBwdTrans(vel[i],velPhys[i]);
             }
         }
         else
         {
             for (int i = 0; i < m_nConvectiveFields; ++i)
             {
                 vel[i] = inarray[i];
                 Vmath::Vcopy(physTot, inarray[i], 1, velPhys[i], 1);
             }
         }
 
         //Advection contribution
         MappingAdvectionCorrection(velPhys, Forcing);
         
         // Time-derivative contribution
         if ( m_mapping->IsTimeDependent() )
         {
             MappingAccelerationCorrection(vel, velPhys, tmp);
             for (int i = 0; i < m_nConvectiveFields; ++i)
             {
                 Vmath::Vadd(physTot, tmp[i], 1, Forcing[i], 1, Forcing[i], 1);
             }            
         }
         
         // Pressure contribution
         if (!m_implicitPressure)
         {
             MappingPressureCorrection(tmp);
             for (int i = 0; i < m_nConvectiveFields; ++i)
             {
                 Vmath::Vadd(physTot, tmp[i], 1, Forcing[i], 1, Forcing[i], 1);
             }            
         }   
         // Viscous contribution
         if ( (!m_implicitViscous) && (!m_neglectViscous))
         {
             MappingViscousCorrection(velPhys, tmp);
             for (int i = 0; i < m_nConvectiveFields; ++i)
             {            
                 Vmath::Smul(physTot, m_kinvis, tmp[i], 1, tmp[i], 1);
                 Vmath::Vadd(physTot, tmp[i], 1, Forcing[i], 1, Forcing[i], 1);
             }
         }        
 
         // If necessary, transform to wavespace
         if(m_fields[0]->GetWaveSpace())
         {
             for (int i = 0; i < m_nConvectiveFields; ++i)
             {
                 m_fields[0]->HomogeneousFwdTrans(Forcing[i],Forcing[i]);
             }
         }
         
         // Add to outarray 
         for (int i = 0; i < m_nConvectiveFields; ++i)
         {
             Vmath::Vadd(physTot, outarray[i], 1, Forcing[i], 1, outarray[i], 1);
         }          
     }

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

inlinestatic

Creates an instance of this class.

Definition at line 49 of file VCSMapping.h.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and CellMLToNektar.cellml_metadata::p.

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

void Nektar::VCSMapping::MappingAccelerationCorrection	(	const Array< OneD, const Array< OneD, NekDouble > > &	vel,
		const Array< OneD, const Array< OneD, NekDouble > > &	velPhys,
		Array< OneD, Array< OneD, NekDouble > > &	outarray
	)

private

Definition at line 858 of file VCSMapping.cpp.

References Nektar::MultiRegions::DirCartesianMap, Nektar::SolverUtils::EquationSystem::m_fields, m_mapping, Nektar::IncNavierStokes::m_nConvectiveFields, Vmath::Neg(), Vmath::Vadd(), Vmath::Vvtvp(), and Vmath::Zero().

Referenced by ApplyIncNSMappingForcing().

         {
             int physTot = m_fields[0]->GetTotPoints();
             int nvel = m_nConvectiveFields;
             
             Array<OneD, Array<OneD, NekDouble> > wk(nvel*nvel);
             Array<OneD, Array<OneD, NekDouble> > tmp(nvel);
             Array<OneD, Array<OneD, NekDouble> > coordVel(nvel);
             for (int i = 0; i< nvel; i++)
             {
                 tmp[i] = Array<OneD, NekDouble> (physTot, 0.0);
                 coordVel[i] = Array<OneD, NekDouble> (physTot, 0.0);
             }
             // Get coordinates velocity in transformed system
             m_mapping->GetCoordVelocity(tmp);
             m_mapping->ContravarFromCartesian(tmp, coordVel);         
             
             // Calculate first term: U^j u^i,j = U^j (du^i/dx^j + {i,kj}u^k)
             m_mapping->ApplyChristoffelContravar(velPhys, wk);
             for (int i=0; i< nvel; i++)
             {
                 Vmath::Zero(physTot,outarray[i],1);
 
                 m_fields[0]->PhysDeriv(velPhys[i], tmp[0], tmp[1]);
                 for (int j=0; j< nvel; j++)
                 {
                     if (j == 2)
                     {
                         m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[j],
                                         vel[i], tmp[2]);
                         if (m_fields[0]->GetWaveSpace())
                         {
                             m_fields[0]->HomogeneousBwdTrans(tmp[2],tmp[2]);
                         }
                     }
 
                     Vmath::Vadd(physTot,wk[i*nvel+j],1,tmp[j],1,
                                                         wk[i*nvel+j], 1); 
                     
                     Vmath::Vvtvp(physTot, coordVel[j], 1, wk[i*nvel+j], 1,
                                           outarray[i], 1, outarray[i], 1);
                 }
             }
             
             // Set wavespace to false and store current value
             bool wavespace = m_fields[0]->GetWaveSpace();
             m_fields[0]->SetWaveSpace(false);
 
             // Add -u^j U^i,j
             m_mapping->ApplyChristoffelContravar(coordVel, wk);
             for (int i=0; i< nvel; i++)
             {
                 if(nvel == 2)
                 {
                     m_fields[0]->PhysDeriv(coordVel[i], tmp[0], tmp[1]);
                 }
                 else
                 {
                     m_fields[0]->PhysDeriv(coordVel[i], tmp[0], tmp[1], tmp[2]);
                 }
 
                 for (int j=0; j< nvel; j++)
                 {
                     Vmath::Vadd(physTot,wk[i*nvel+j],1,tmp[j],1,
                                                         wk[i*nvel+j], 1);
                     Vmath::Neg(physTot, wk[i*nvel+j], 1);
                     
                     Vmath::Vvtvp(physTot, velPhys[j], 1, wk[i*nvel+j], 1,
                                           outarray[i], 1, outarray[i], 1);
                 }
             }
 
             // Restore value of wavespace 
             m_fields[0]->SetWaveSpace(wavespace);
         }

void Nektar::VCSMapping::MappingAdvectionCorrection	(	const Array< OneD, const Array< OneD, NekDouble > > &	velPhys,
		Array< OneD, Array< OneD, NekDouble > > &	outarray
	)

private

Definition at line 833 of file VCSMapping.cpp.

References Nektar::SolverUtils::EquationSystem::m_fields, m_mapping, Nektar::IncNavierStokes::m_nConvectiveFields, Vmath::Neg(), Vmath::Vvtvp(), and Vmath::Zero().

Referenced by ApplyIncNSMappingForcing().

         {
             int physTot = m_fields[0]->GetTotPoints();
             int nvel = m_nConvectiveFields;
             
             Array<OneD, Array<OneD, NekDouble> > wk(nvel*nvel);
 
             // Apply Christoffel symbols to obtain {i,kj}vel(k) 
             m_mapping->ApplyChristoffelContravar(velPhys, wk);
 
             // Calculate correction -U^j*{i,kj}vel(k)
             for (int i = 0; i< nvel; i++)
             {
                 Vmath::Zero(physTot,outarray[i],1);
                 for (int j = 0; j< nvel; j++)
                 {
                         Vmath::Vvtvp(physTot,wk[i*nvel+j],1,velPhys[j],1,
                                         outarray[i],1,outarray[i],1);
                 }    
                 Vmath::Neg(physTot, outarray[i], 1);
             } 
         }

void Nektar::VCSMapping::MappingPressureCorrection ( Array< OneD, Array< OneD, NekDouble > > & outarray )

private

Definition at line 937 of file VCSMapping.cpp.

References Nektar::SolverUtils::EquationSystem::m_fields, m_gradP, m_mapping, Nektar::IncNavierStokes::m_nConvectiveFields, Vmath::Vdiv(), and Vmath::Vsub().

Referenced by ApplyIncNSMappingForcing().

         {
             int physTot = m_fields[0]->GetTotPoints();
             int nvel = m_nConvectiveFields;
 
             // Calculate g^(ij)p_(,j)
             m_mapping->RaiseIndex(m_gradP, outarray);
 
             // Calculate correction = (nabla p)/J - g^(ij)p_,j
             // (Jac is not required if it is constant)
             if ( !m_mapping->HasConstantJacobian())
             {
                 Array<OneD, NekDouble> Jac(physTot, 0.0);
                 m_mapping->GetJacobian(Jac);
                 for(int i = 0; i < nvel; ++i)
                 {
                     Vmath::Vdiv(physTot, m_gradP[i], 1, Jac, 1, m_gradP[i], 1);
                 }
             }
             for(int i = 0; i < nvel; ++i)
             {
                 Vmath::Vsub(physTot, m_gradP[i], 1,outarray[i], 1,
                                                     outarray[i],1);
             }
         }

void Nektar::VCSMapping::MappingViscousCorrection	(	const Array< OneD, const Array< OneD, NekDouble > > &	velPhys,
		Array< OneD, Array< OneD, NekDouble > > &	outarray
	)

private

Definition at line 964 of file VCSMapping.cpp.

References m_mapping.

Referenced by ApplyIncNSMappingForcing().

         {
             // L(U) - 1.0*d^2(u^i)/dx^jdx^j
             m_mapping->VelocityLaplacian(velPhys, outarray, 1.0);
         }

void Nektar::VCSMapping::v_DoInitialise ( void )

protectedvirtual

Sets up initial conditions.

Sets the initial conditions.

Reimplemented from Nektar::VelocityCorrectionScheme.

Definition at line 147 of file VCSMapping.cpp.

References Nektar::MultiRegions::DirCartesianMap, Nektar::VelocityCorrectionScheme::m_F, Nektar::SolverUtils::EquationSystem::m_fieldMetaDataMap, Nektar::SolverUtils::EquationSystem::m_fields, m_gradP, Nektar::IncNavierStokes::m_kinvis, m_mapping, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::IncNavierStokes::m_pressure, Nektar::SolverUtils::EquationSystem::m_timestep, and Nektar::SolverUtils::UnsteadySystem::v_DoInitialise().

     {
         UnsteadySystem::v_DoInitialise();
 
         // Set up Field Meta Data for output files
         m_fieldMetaDataMap["Kinvis"]   = 
                                 boost::lexical_cast<std::string>(m_kinvis);
         m_fieldMetaDataMap["TimeStep"] = 
                                 boost::lexical_cast<std::string>(m_timestep);
 
         // Correct Dirichlet boundary conditions to account for mapping
         m_mapping->UpdateBCs(0.0);
         //
         m_F = Array<OneD, Array< OneD, NekDouble> > (m_nConvectiveFields);
         for(int i = 0; i < m_nConvectiveFields; ++i)
         {
             m_fields[i]->LocalToGlobal();
             m_fields[i]->ImposeDirichletConditions(m_fields[i]->UpdateCoeffs());
             m_fields[i]->GlobalToLocal();
             m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(),
                                   m_fields[i]->UpdatePhys());
             m_F[i] = Array< OneD, NekDouble> (m_fields[0]->GetTotPoints(), 0.0);
         }
 
         // Initialise m_gradP
         int physTot = m_fields[0]->GetTotPoints();
         m_gradP = Array<OneD, Array<OneD, NekDouble> >(m_nConvectiveFields);
         for(int i = 0; i < m_nConvectiveFields; ++i)
         {
             m_gradP[i] = Array<OneD, NekDouble>(physTot,0.0);
             m_pressure->PhysDeriv(MultiRegions::DirCartesianMap[i],
                                     m_pressure->GetPhys(),
                                     m_gradP[i]);
             if(m_pressure->GetWaveSpace())
             {
                 m_pressure->HomogeneousBwdTrans(m_gradP[i],m_gradP[i]);
             }
         }
     }

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

protectedvirtual

Explicit part of the method - Advection, Forcing + HOPBCs

Reimplemented from Nektar::VelocityCorrectionScheme.

Definition at line 190 of file VCSMapping.cpp.

References ApplyIncNSMappingForcing(), Nektar::IncNavierStokes::EvaluateAdvectionTerms(), Nektar::IncNavierStokes::m_extrapolation, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::IncNavierStokes::m_forcing, Nektar::IncNavierStokes::m_kinvis, m_mapping, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::IncNavierStokes::m_pressure, Nektar::IncNavierStokes::m_SmoothAdvection, and Nektar::SolverUtils::EquationSystem::m_timestep.

     {       
         EvaluateAdvectionTerms(inarray, outarray);
 
         // Smooth advection
         if(m_SmoothAdvection)
         {
             for(int i = 0; i < m_nConvectiveFields; ++i)
             {
                 m_pressure->SmoothField(outarray[i]);
             }
         }
 
         // Add forcing terms
         std::vector<SolverUtils::ForcingSharedPtr>::const_iterator x;
         for (x = m_forcing.begin(); x != m_forcing.end(); ++x)
         {
             (*x)->Apply(m_fields, inarray, outarray, time);
         }
         
         // Add mapping terms
         ApplyIncNSMappingForcing( inarray, outarray);
 
         // Calculate High-Order pressure boundary conditions
         m_extrapolation->EvaluatePressureBCs(inarray,outarray,m_kinvis);
 
         // Update mapping and deal with Dirichlet boundary conditions
         if (m_mapping->IsTimeDependent())
         {
             if (m_mapping->IsFromFunction())
             {
                 // If the transformation is explicitly defined, update it here
                 // Otherwise, it will be done somewhere else (ForcingMovingBody)
                 m_mapping->UpdateMapping(time+m_timestep);
             }
             m_mapping->UpdateBCs(time+m_timestep);
         }
     }

void Nektar::VCSMapping::v_InitObject ( )

virtual

Init object for UnsteadySystem class.

Initialization object for UnsteadySystem class.

Reimplemented from Nektar::VelocityCorrectionScheme.

Definition at line 65 of file VCSMapping.cpp.

References ASSERTL0, Nektar::LibUtilities::NekFactory< tKey, tBase, >::CreateInstance(), Nektar::LibUtilities::eIMEXOrder1, Nektar::LibUtilities::eIMEXOrder2, Nektar::LibUtilities::eIMEXOrder3, Nektar::GetExtrapolateFactory(), Nektar::GlobalMapping::Mapping::Load(), Nektar::SolverUtils::AdvectionSystem::m_advObject, Nektar::IncNavierStokes::m_extrapolation, Nektar::SolverUtils::EquationSystem::m_fields, m_implicitPressure, m_implicitViscous, Nektar::SolverUtils::UnsteadySystem::m_intScheme, m_mapping, m_neglectViscous, m_presForcingCorrection, Nektar::IncNavierStokes::m_pressure, m_pressureRelaxation, m_pressureTolerance, Nektar::SolverUtils::EquationSystem::m_session, Nektar::IncNavierStokes::m_velocity, m_verbose, m_viscousRelaxation, m_viscousTolerance, and Nektar::VelocityCorrectionScheme::v_InitObject().

     {
         VelocityCorrectionScheme::v_InitObject();
         
         m_mapping = GlobalMapping::Mapping::Load(m_session, m_fields); 
         ASSERTL0(m_mapping,
              "Could not create mapping in VCSMapping.");
         
         std::string vExtrapolation = "Mapping";
         m_extrapolation = GetExtrapolateFactory().CreateInstance(
             vExtrapolation,
             m_session,
             m_fields,
             m_pressure,
             m_velocity,
             m_advObject); 
         m_extrapolation->SubSteppingTimeIntegration(
                             m_intScheme->GetIntegrationMethod(), m_intScheme);
         m_extrapolation->GenerateHOPBCMap(m_session);        
 
        // Storage to extrapolate pressure forcing
         int physTot = m_fields[0]->GetTotPoints();
         int intSteps = 1;
         int intMethod = m_intScheme->GetIntegrationMethod();
         switch(intMethod)
         {
             case LibUtilities::eIMEXOrder1:
             {
                 intSteps = 1; 
             }
             break;
             case LibUtilities::eIMEXOrder2:
             {
                 intSteps = 2;
             }
             break;
             case LibUtilities::eIMEXOrder3:
             {
                 intSteps = 3;
             }
             break;
         }        
         m_presForcingCorrection= Array<OneD, Array<OneD, NekDouble> >(intSteps);
         for(int i = 0; i < m_presForcingCorrection.num_elements(); i++)
         {
             m_presForcingCorrection[i] = Array<OneD, NekDouble>(physTot,0.0);
         }
         m_verbose = (m_session->DefinesCmdLineArgument("verbose"))? true :false;
         
         // Load solve parameters related to the mapping
         // Flags determining if pressure/viscous terms should be treated implicitly
         m_session->MatchSolverInfo("MappingImplicitPressure","True",
                                                     m_implicitPressure,false);
         m_session->MatchSolverInfo("MappingImplicitViscous","True",
                                                     m_implicitViscous,false);
         m_session->MatchSolverInfo("MappingNeglectViscous","True",
                                                     m_neglectViscous,false);
         
         if (m_neglectViscous)
         {
             m_implicitViscous = false;
         }
         
         // Tolerances and relaxation parameters for implicit terms
         m_session->LoadParameter("MappingPressureTolerance",
                                             m_pressureTolerance,1e-12);
         m_session->LoadParameter("MappingViscousTolerance",
                                             m_viscousTolerance,1e-12);
         m_session->LoadParameter("MappingPressureRelaxation",
                                             m_pressureRelaxation,1.0);
         m_session->LoadParameter("MappingViscousRelaxation",
                                             m_viscousRelaxation,1.0);
         
     }

void Nektar::VCSMapping::v_SetUpPressureForcing	(	const Array< OneD, const Array< OneD, NekDouble > > &	fields,
		Array< OneD, Array< OneD, NekDouble > > &	Forcing,
		const NekDouble	aii_Dt
	)

protectedvirtual

Forcing term for Poisson solver solver

Reimplemented from Nektar::VelocityCorrectionScheme.

Definition at line 236 of file VCSMapping.cpp.

References Nektar::MultiRegions::DirCartesianMap, Nektar::IncNavierStokes::m_extrapolation, Nektar::SolverUtils::EquationSystem::m_fields, m_implicitViscous, Nektar::IncNavierStokes::m_kinvis, m_mapping, Nektar::IncNavierStokes::m_nConvectiveFields, m_presForcingCorrection, Vmath::Smul(), Nektar::VelocityCorrectionScheme::v_SetUpPressureForcing(), Vmath::Vadd(), Vmath::Vcopy(), Vmath::Vdiv(), Vmath::Vmul(), Vmath::Vsub(), and Vmath::Zero().

     {                
         if (m_mapping->HasConstantJacobian())
         {
             VelocityCorrectionScheme::v_SetUpPressureForcing(fields, 
                                                             Forcing, aii_Dt);
         }
         else
         {
             int physTot = m_fields[0]->GetTotPoints();
             int nvel = m_nConvectiveFields;
             Array<OneD, NekDouble> wk(physTot, 0.0);
 
             Array<OneD, NekDouble> Jac(physTot,0.0);
             m_mapping->GetJacobian(Jac);
             
             // Calculate div(J*u/Dt)
             Vmath::Zero(physTot,Forcing[0],1);
             for(int i = 0; i < nvel; ++i)
             {
                 if (m_fields[i]->GetWaveSpace())
                 {
                     m_fields[i]->HomogeneousBwdTrans(fields[i],wk);
                 }
                 else
                 {
                     Vmath::Vcopy(physTot, fields[i], 1, wk, 1);
                 }
                 Vmath::Vmul(physTot,wk,1,Jac,1,wk,1);
                 if (m_fields[i]->GetWaveSpace())
                 {
                     m_fields[i]->HomogeneousFwdTrans(wk,wk);
                 }               
                 m_fields[i]->PhysDeriv(MultiRegions::DirCartesianMap[i],wk, wk);
                 Vmath::Vadd(physTot,wk,1,Forcing[0],1,Forcing[0],1);
             }
             Vmath::Smul(physTot,1.0/aii_Dt,Forcing[0],1,Forcing[0],1); 
 
             //
             // If the mapping viscous terms are being treated explicitly 
             //        we need to apply a correction to the forcing
             if (!m_implicitViscous)
             {               
                 bool wavespace = m_fields[0]->GetWaveSpace();
                 m_fields[0]->SetWaveSpace(false);
 
                 // 
                 //  Part 1: div(J*grad(U/J . grad(J)))
                 Array<OneD, Array<OneD, NekDouble> > tmp (nvel);
                 Array<OneD, Array<OneD, NekDouble> > velocity (nvel);
                 for(int i = 0; i < tmp.num_elements(); i++)
                 {
                     tmp[i] = Array<OneD, NekDouble>(physTot,0.0);
                     velocity[i] = Array<OneD, NekDouble>(physTot,0.0);
                     if (wavespace)
                     {
                         m_fields[0]->HomogeneousBwdTrans(m_fields[i]->GetPhys(),
                                                          velocity[i]);
                     }
                     else
                     {
                         Vmath::Vcopy(physTot, m_fields[i]->GetPhys(), 1, 
                                                 velocity[i], 1);
                     }
                 }
                 // Calculate wk = U.grad(J)
                 m_mapping->DotGradJacobian(velocity, wk);
                 // Calculate wk = (U.grad(J))/J
                 Vmath::Vdiv(physTot, wk, 1, Jac, 1, wk, 1);
                 // J*grad[(U.grad(J))/J]
                 for(int i = 0; i < nvel; ++i)
                 {
                     m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[i], 
                                 wk, tmp[i]);
                     Vmath::Vmul(physTot, Jac, 1, tmp[i], 1, tmp[i], 1);
                 }          
                 // div(J*grad[(U.grad(J))/J])
                 Vmath::Zero(physTot, wk, 1);
                 for(int i = 0; i < nvel; ++i)
                 {
                     m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[i], 
                                 tmp[i], tmp[i]);
                     Vmath::Vadd(physTot, wk, 1, tmp[i], 1, wk, 1);
                 }        
 
                 // Part 2: grad(J) . curl(curl(U))
                 m_mapping->CurlCurlField(velocity, tmp, m_implicitViscous);
                 // dont need velocity any more, so reuse it
                 m_mapping->DotGradJacobian(tmp, velocity[0]); 
 
                 // Add two parts
                 Vmath::Vadd(physTot, velocity[0], 1, wk, 1, wk, 1);
 
                 // Multiply by kinvis and prepare to extrapolate
                 int nlevels = m_presForcingCorrection.num_elements();
                 Vmath::Smul(physTot, m_kinvis, wk, 1,
                                      m_presForcingCorrection[nlevels-1], 1);
 
                 // Extrapolate correction
                 m_extrapolation->ExtrapolateArray(m_presForcingCorrection);
 
                 // Put in wavespace
                 if (wavespace)
                 {
                     m_fields[0]->HomogeneousFwdTrans(
                                    m_presForcingCorrection[nlevels-1],wk);
                 }
                 else
                 {
                     Vmath::Vcopy(physTot, m_presForcingCorrection[nlevels-1], 1,
                                           wk, 1);
                 }
                 // Apply correction: Forcing = Forcing - correction
                 Vmath::Vsub(physTot, Forcing[0], 1, wk, 1, Forcing[0], 1);
 
                 m_fields[0]->SetWaveSpace(wavespace); 
             }
         }
     }

void Nektar::VCSMapping::v_SetUpViscousForcing	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	Forcing,
		const NekDouble	aii_Dt
	)

protectedvirtual

Forcing term for Helmholtz solver

Reimplemented from Nektar::VelocityCorrectionScheme.

Definition at line 362 of file VCSMapping.cpp.

References Nektar::SolverUtils::EquationSystem::m_fields, m_gradP, m_implicitPressure, Nektar::IncNavierStokes::m_kinvis, m_mapping, Nektar::IncNavierStokes::m_pressure, Nektar::IncNavierStokes::m_velocity, Vmath::Vcopy(), and Vmath::Vdiv().

     {
         NekDouble aii_dtinv = 1.0/aii_Dt;
         int physTot = m_fields[0]->GetTotPoints();
 
         // Grad p
         m_pressure->BwdTrans(m_pressure->GetCoeffs(),m_pressure->UpdatePhys());
 
         int nvel = m_velocity.num_elements();
         if(nvel == 2)
         {
             m_pressure->PhysDeriv(m_pressure->GetPhys(), Forcing[0], Forcing[1]);
         }
         else
         {
             m_pressure->PhysDeriv(m_pressure->GetPhys(), Forcing[0], Forcing[1],
                                   Forcing[2]);
         }
 
         // Copy grad p in physical space to m_gradP to reuse later
         if (m_pressure->GetWaveSpace())
         {
             for (int i=0; i<nvel; i++)
             {
                 m_pressure->HomogeneousBwdTrans(Forcing[i],m_gradP[i]);
             }
         }
         else
         {
             for (int i=0; i<nvel; i++)
             {
                 Vmath::Vcopy(physTot, Forcing[i], 1, m_gradP[i], 1);
             }
         }
 
         if ( (!m_mapping->HasConstantJacobian()) || m_implicitPressure)
         {
             // If pressure terms are treated explicitly, we need to divide by J
             //    if they are implicit, we need to calculate G(p)
             if (m_implicitPressure)
             {
                 m_mapping->RaiseIndex(m_gradP, Forcing);
             }
             else
             {
                 Array<OneD, NekDouble> Jac(physTot,0.0);
                 m_mapping->GetJacobian(Jac);
                 for (int i=0; i<nvel; i++)
                 {
                     Vmath::Vdiv(physTot, m_gradP[i], 1, Jac, 1, Forcing[i], 1);
                 }
             }
             // Transform back to wavespace
             if (m_pressure->GetWaveSpace())
             {
                 for (int i=0; i<nvel; i++)
                 {
                     m_pressure->HomogeneousFwdTrans(Forcing[i],Forcing[i]);
                 }
             }
         }
 
         // Subtract inarray/(aii_dt) and divide by kinvis. Kinvis will
         // need to be updated for the convected fields.
         for(int i = 0; i < nvel; ++i)
         {
             Blas::Daxpy(physTot,-aii_dtinv,inarray[i],1,Forcing[i],1);
             Blas::Dscal(physTot,1.0/m_kinvis,&(Forcing[i])[0],1);
         }
     }

void Nektar::VCSMapping::v_SolvePressure ( const Array< OneD, NekDouble > & Forcing )

protectedvirtual

Solve pressure system

Reimplemented from Nektar::VelocityCorrectionScheme.

Definition at line 439 of file VCSMapping.cpp.

References ASSERTL0, Nektar::MultiRegions::DirCartesianMap, Nektar::StdRegions::eFactorLambda, Nektar::IncNavierStokes::m_extrapolation, Nektar::SolverUtils::EquationSystem::m_fields, m_implicitPressure, m_mapping, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::IncNavierStokes::m_pressure, m_pressureRelaxation, m_pressureTolerance, Nektar::SolverUtils::EquationSystem::m_session, m_verbose, Vmath::Neg(), Nektar::NullFlagList, Vmath::Smul(), Nektar::VelocityCorrectionScheme::v_SolvePressure(), Vmath::Vadd(), Vmath::Vcopy(), Vmath::Vmul(), and Vmath::Vsub().

     {
         if (!m_implicitPressure)
         {
             VelocityCorrectionScheme::v_SolvePressure(Forcing);
         }
         else
         {
             int physTot = m_fields[0]->GetTotPoints();
             int nvel = m_nConvectiveFields;
             bool converged = false;          // flag to mark if system converged
             int s = 0;                       // iteration counter
             NekDouble error;                 // L2 error at current iteration
             NekDouble forcing_L2 = 0.0;      // L2 norm of F
             
             int maxIter;
             m_session->LoadParameter("MappingMaxIter",maxIter,5000);
 
             // rhs of the equation at current iteration
             Array< OneD, NekDouble> F_corrected(physTot, 0.0);
             // Pressure field at previous iteration
             Array<OneD, NekDouble>  previous_iter (physTot, 0.0);
             // Temporary variables
             Array<OneD, Array<OneD, NekDouble> > wk1(nvel);
             Array<OneD, Array<OneD, NekDouble> > wk2(nvel);
             Array<OneD, Array<OneD, NekDouble> > gradP(nvel);
             for(int i = 0; i < nvel; ++i)
             {
                 wk1[i]   = Array<OneD, NekDouble> (physTot, 0.0);
                 wk2[i]   = Array<OneD, NekDouble> (physTot, 0.0);
                 gradP[i] = Array<OneD, NekDouble> (physTot, 0.0);
             }
 
             // Jacobian
             Array<OneD, NekDouble> Jac(physTot, 0.0);
             m_mapping->GetJacobian(Jac);
 
             // Factors for Laplacian system
             StdRegions::ConstFactorMap factors;
             factors[StdRegions::eFactorLambda] = 0.0;
 
             m_pressure->BwdTrans(m_pressure->GetCoeffs(),
                                     m_pressure->UpdatePhys());
             forcing_L2 = m_pressure->L2(Forcing, wk1[0]);
             while (!converged)
             {
                 // Update iteration counter and set previous iteration field
                 // (use previous timestep solution for first iteration)
                 s++;         
                 ASSERTL0(s < maxIter,
                          "VCSMapping exceeded maximum number of iterations.");
                 
                 Vmath::Vcopy(physTot, m_pressure->GetPhys(), 1, 
                                         previous_iter, 1);
                 
                 // Correct pressure bc to account for iteration
                 m_extrapolation->CorrectPressureBCs(previous_iter);
 
                 //
                 // Calculate forcing term for this iteration
                 //
                 for(int i = 0; i < nvel; ++i)
                 {
                     m_pressure->PhysDeriv(MultiRegions::DirCartesianMap[i], 
                                                     previous_iter, gradP[i]);
                     if(m_pressure->GetWaveSpace())
                     {
                         m_pressure->HomogeneousBwdTrans(gradP[i], wk1[i]);
                     }
                     else
                     {
                         Vmath::Vcopy(physTot, gradP[i], 1, wk1[i], 1);
                     }
                 }
                 m_mapping->RaiseIndex(wk1, wk2);   // G(p)
            
                 m_mapping->Divergence(wk2, F_corrected);   // div(G(p))
                 if (!m_mapping->HasConstantJacobian())
                 {
                     Vmath::Vmul(physTot, F_corrected, 1, 
                                          Jac, 1, 
                                          F_corrected, 1);
                 }                
                 // alpha*J*div(G(p))
                 Vmath::Smul(physTot, m_pressureRelaxation, F_corrected, 1, 
                                                            F_corrected, 1); 
                 if(m_pressure->GetWaveSpace())
                 {
                     m_pressure->HomogeneousFwdTrans(F_corrected, F_corrected);
                 }            
                 // alpha*J*div(G(p)) - p_ii      
                 for (int i = 0; i < m_nConvectiveFields; ++i)
                 {
                     m_pressure->PhysDeriv(MultiRegions::DirCartesianMap[i],
                                                             gradP[i], wk1[0]);
                     Vmath::Vsub(physTot, F_corrected, 1, wk1[0], 1, 
                                                             F_corrected, 1);
                 }
                 // p_i,i - J*div(G(p))
                 Vmath::Neg(physTot, F_corrected, 1);           
                 // alpha*F -  alpha*J*div(G(p)) + p_i,i
                 Vmath::Smul(physTot, m_pressureRelaxation, Forcing, 1, 
                                                             wk1[0], 1);
                 Vmath::Vadd(physTot, wk1[0], 1, F_corrected, 1, F_corrected, 1);
 
                 //
                 // Solve system
                 //
                 m_pressure->HelmSolve(F_corrected, m_pressure->UpdateCoeffs(), 
                                         NullFlagList, factors);  
                 m_pressure->BwdTrans(m_pressure->GetCoeffs(),
                                     m_pressure->UpdatePhys());     
 
                 //
                 // Test convergence
                 //
                 error = m_pressure->L2(m_pressure->GetPhys(), previous_iter);           
                 if ( forcing_L2 != 0)
                 {
                     if ( (error/forcing_L2 < m_pressureTolerance))
                     {
                         converged = true;
                     }  
                 }
                 else
                 {
                     if ( error < m_pressureTolerance)
                     {
                         converged = true;
                     }                
                 }                    
             }
             if (m_verbose && m_session->GetComm()->GetRank()==0)
             {
                 std::cout << " Pressure system (mapping) converged in " << s <<
                             " iterations with error = " << error << std::endl;
             }            
         }
     }

void Nektar::VCSMapping::v_SolveViscous	(	const Array< OneD, const Array< OneD, NekDouble > > &	Forcing,
		Array< OneD, Array< OneD, NekDouble > > &	outarray,
		const NekDouble	aii_Dt
	)

protectedvirtual

Solve velocity system

Reimplemented from Nektar::VelocityCorrectionScheme.

Definition at line 583 of file VCSMapping.cpp.

References ASSERTL0, Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::SolverUtils::EquationSystem::m_fields, m_implicitViscous, Nektar::IncNavierStokes::m_kinvis, m_mapping, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::SolverUtils::EquationSystem::m_session, Nektar::VelocityCorrectionScheme::m_sVVCutoffRatio, Nektar::VelocityCorrectionScheme::m_sVVDiffCoeff, Nektar::VelocityCorrectionScheme::m_useSpecVanVisc, m_verbose, m_viscousRelaxation, m_viscousTolerance, Nektar::NullFlagList, Vmath::Smul(), Nektar::VelocityCorrectionScheme::v_SolveViscous(), Vmath::Vadd(), and Vmath::Vcopy().

     {
         if(!m_implicitViscous)
         {
             VelocityCorrectionScheme::v_SolveViscous(Forcing, outarray, aii_Dt);
         }
         else
         {
             int physTot = m_fields[0]->GetTotPoints();
             int nvel = m_nConvectiveFields;
             bool converged = false;          // flag to mark if system converged
             int s = 0;                       // iteration counter
             NekDouble error, max_error;      // L2 error at current iteration
             
             int maxIter;
             m_session->LoadParameter("MappingMaxIter",maxIter,5000);
             
             //L2 norm of F
             Array<OneD, NekDouble> forcing_L2(m_nConvectiveFields,0.0); 
 
             // rhs of the equation at current iteration
             Array<OneD, Array<OneD, NekDouble> > F_corrected(nvel);
             // Solution at previous iteration
             Array<OneD, Array<OneD, NekDouble> > previous_iter(nvel);
             // Working space
             Array<OneD, Array<OneD, NekDouble> >  wk(nvel);
             for(int i = 0; i < nvel; ++i)
             {
                 F_corrected[i]   = Array<OneD, NekDouble> (physTot, 0.0);
                 previous_iter[i] = Array<OneD, NekDouble> (physTot, 0.0);
                 wk[i]            = Array<OneD, NekDouble> (physTot, 0.0);
             }
 
             // Factors for Helmholtz system
             StdRegions::ConstFactorMap factors;
             factors[StdRegions::eFactorLambda] = 
                                     1.0*m_viscousRelaxation/aii_Dt/m_kinvis;
             if(m_useSpecVanVisc)
             {
                 factors[StdRegions::eFactorSVVCutoffRatio] = m_sVVCutoffRatio;
                 factors[StdRegions::eFactorSVVDiffCoeff]   = 
                                                       m_sVVDiffCoeff/m_kinvis;
             }
 
             // Calculate L2-norm of F and set initial solution for iteration
             for(int i = 0; i < nvel; ++i)
             {
                 forcing_L2[i] = m_fields[0]->L2(Forcing[i],wk[0]);
                 m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(),
                                         previous_iter[i]);
             }
 
             while (!converged)
             {
                 converged = true;
                 // Iteration counter
                 s++;
                 ASSERTL0(s < maxIter,
                          "VCSMapping exceeded maximum number of iterations.");
                 
                 max_error = 0.0;
 
                 //
                 // Calculate forcing term for next iteration
                 //
 
                 // Calculate L(U)- in this parts all components might be coupled
                 if(m_fields[0]->GetWaveSpace())
                 {
                     for (int i = 0; i < nvel; ++i)
                     {
                         m_fields[0]->HomogeneousBwdTrans(previous_iter[i], 
                                                                     wk[i]);
                     }                    
                 }
                 else
                 {
                     for (int i = 0; i < nvel; ++i)
                     {
                         Vmath::Vcopy(physTot, previous_iter[i], 1, wk[i], 1);
                     }                   
                 }                    
                 
                 // (L(U^i) - 1/alpha*U^i_jj)
                 m_mapping->VelocityLaplacian(wk, F_corrected,
                                                 1.0/m_viscousRelaxation);
                 
                 if(m_fields[0]->GetWaveSpace())
                 {
                     for (int i = 0; i < nvel; ++i)
                     {
                         m_fields[0]->HomogeneousFwdTrans(F_corrected[i], 
                                                             F_corrected[i]);
                     }                    
                 }
                 else
                 {
                     for (int i = 0; i < nvel; ++i)
                     {
                         Vmath::Vcopy(physTot, F_corrected[i], 1, 
                                                 F_corrected[i], 1);
                     }                   
                 }
                 
                 // Loop velocity components
                 for (int i = 0; i < nvel; ++i)
                 {
                     // (-alpha*L(U^i) + U^i_jj)
                     Vmath::Smul(physTot, -1.0*m_viscousRelaxation,
                                                     F_corrected[i], 1,
                                                     F_corrected[i], 1);
                     //  F_corrected = alpha*F + (-alpha*L(U^i) + U^i_jj)
                     Vmath::Smul(physTot, m_viscousRelaxation, Forcing[i], 1, 
                                                                     wk[0], 1);
                     Vmath::Vadd(physTot, wk[0], 1, F_corrected[i], 1, 
                                                     F_corrected[i], 1);
 
                     //
                     // Solve System
                     //
                     m_fields[i]->HelmSolve(F_corrected[i], 
                                     m_fields[i]->UpdateCoeffs(),
                                     NullFlagList, factors); 
                     m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(),outarray[i]);
 
                     //
                     // Test convergence
                     //
                     error = m_fields[i]->L2(outarray[i], previous_iter[i]);
 
                     if ( forcing_L2[i] != 0)
                     {
                         if ( (error/forcing_L2[i] >= m_viscousTolerance))
                         {
                             converged = false;
                         }
                     }
                     else
                     {
                         if ( error >= m_viscousTolerance)
                         {
                             converged = false;
                         }
                     }
                     if (error > max_error)
                     {
                         max_error = error;
                     }
 
                     // Copy field to previous_iter
                     Vmath::Vcopy(physTot, outarray[i], 1, previous_iter[i], 1); 
                 }           
             }
             if (m_verbose && m_session->GetComm()->GetRank()==0)
             {
                 std::cout << " Velocity system (mapping) converged in " << s <<
                         " iterations with error = " << max_error << std::endl;
             }            
         }
     }

Member Data Documentation

string Nektar::VCSMapping::className

static

Initial value:

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

Name of class.

Definition at line 59 of file VCSMapping.h.

Array<OneD, Array<OneD, NekDouble> > Nektar::VCSMapping::m_gradP

protected

Definition at line 93 of file VCSMapping.h.

Referenced by MappingPressureCorrection(), v_DoInitialise(), and v_SetUpViscousForcing().

bool Nektar::VCSMapping::m_implicitPressure

protected

Definition at line 82 of file VCSMapping.h.

Referenced by ApplyIncNSMappingForcing(), v_InitObject(), v_SetUpViscousForcing(), and v_SolvePressure().

bool Nektar::VCSMapping::m_implicitViscous

protected

Definition at line 83 of file VCSMapping.h.

Referenced by ApplyIncNSMappingForcing(), v_InitObject(), v_SetUpPressureForcing(), and v_SolveViscous().

GlobalMapping::MappingSharedPtr Nektar::VCSMapping::m_mapping

protected

Definition at line 76 of file VCSMapping.h.

Referenced by ApplyIncNSMappingForcing(), MappingAccelerationCorrection(), MappingAdvectionCorrection(), MappingPressureCorrection(), MappingViscousCorrection(), v_DoInitialise(), v_EvaluateAdvection_SetPressureBCs(), v_InitObject(), v_SetUpPressureForcing(), v_SetUpViscousForcing(), v_SolvePressure(), and v_SolveViscous().

bool Nektar::VCSMapping::m_neglectViscous

protected

Definition at line 84 of file VCSMapping.h.

Referenced by ApplyIncNSMappingForcing(), and v_InitObject().

Array<OneD, Array<OneD, NekDouble> > Nektar::VCSMapping::m_presForcingCorrection

private

Definition at line 122 of file VCSMapping.h.

Referenced by v_InitObject(), and v_SetUpPressureForcing().

NekDouble Nektar::VCSMapping::m_pressureRelaxation

protected

Definition at line 89 of file VCSMapping.h.

Referenced by v_InitObject(), and v_SolvePressure().

NekDouble Nektar::VCSMapping::m_pressureTolerance

protected

Definition at line 87 of file VCSMapping.h.

Referenced by v_InitObject(), and v_SolvePressure().

bool Nektar::VCSMapping::m_verbose

protected

Definition at line 78 of file VCSMapping.h.

Referenced by v_InitObject(), v_SolvePressure(), and v_SolveViscous().

NekDouble Nektar::VCSMapping::m_viscousRelaxation

protected

Definition at line 90 of file VCSMapping.h.

Referenced by v_InitObject(), and v_SolveViscous().

NekDouble Nektar::VCSMapping::m_viscousTolerance

protected

Definition at line 88 of file VCSMapping.h.

Referenced by v_InitObject(), and v_SolveViscous().

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation