#include <VelocityCorrectionScheme.h>

Inheritance diagram for Nektar::VelocityCorrectionScheme:

Public Member Functions
	VelocityCorrectionScheme (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Constructor. More...

virtual	~VelocityCorrectionScheme ()

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

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 ()

int	GetNConvectiveFields (void)

Array< OneD, int > &	GetVelocity (void)

void	AddForcing (const SolverUtils::ForcingSharedPtr &pForce)

virtual void	GetPressure (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &pressure)
	Extract array with pressure from physfield. More...

virtual void	GetDensity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &density)
	Extract array with density from physfield. More...

virtual bool	HasConstantDensity ()

virtual void	GetVelocity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &velocity)
	Extract array with velocity from physfield. More...

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

virtual SOLVER_UTILS_EXPORT	~AdvectionSystem ()

SOLVER_UTILS_EXPORT AdvectionSharedPtr	GetAdvObject ()
	Returns the advection object held by this instance. More...

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	GetElmtCFLVals (void)

SOLVER_UTILS_EXPORT NekDouble	GetCFLEstimate (int &elmtid)

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

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 SessionFunctionSharedPtr	GetFunction (std::string name, const MultiRegions::ExpListSharedPtr &field=MultiRegions::NullExpListSharedPtr, bool cache=false)
	Get a SessionFunction by name. 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	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	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	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	SetModifiedBasis (const bool modbasis)

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, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Creates an instance of this class. More...

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

Protected Member Functions
void	SetupFlowrate (NekDouble aii_dt)
	Set up the Stokes solution used to impose constant flowrate through a boundary. More...

NekDouble	MeasureFlowrate (const Array< OneD, Array< OneD, NekDouble > > &inarray)
	Measure the volumetric flow rate through the volumetric flow rate reference surface. More...

virtual bool	v_PostIntegrate (int step)

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

virtual Array< OneD, bool >	v_GetSystemSingularChecks ()

virtual int	v_GetForceDimension ()

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)

virtual bool	v_RequireFwdTrans ()

virtual std::string	v_GetExtrapolateStr (void)

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

void	SetUpSVV (void)

void	SetUpExtrapolation (void)

void	SVVVarDiffCoeff (const NekDouble velmag, Array< OneD, NekDouble > &diffcoeff, const Array< OneD, Array< OneD, NekDouble > > &vel=NullNekDoubleArrayofArray)

void	AppendSVVFactors (StdRegions::ConstFactorMap &factors, MultiRegions::VarFactorsMap &varFactorsMap)

Protected Member Functions inherited from Nektar::IncNavierStokes
	IncNavierStokes (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	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 fldid, const int bndid, std::string womstr)
	Set Up Womersley details. More...

virtual MultiRegions::ExpListSharedPtr	v_GetPressure ()

virtual Array< OneD, NekDouble >	v_GetMaxStdVelocity ()

virtual bool	v_PreIntegrate (int step)

Protected Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
SOLVER_UTILS_EXPORT	UnsteadySystem (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	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 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...

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, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Initialises EquationSystem class members. More...

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)

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
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...

NekDouble	m_sVVCutoffRatioHomo1D

NekDouble	m_sVVDiffCoeffHomo1D
	Diffusion coefficient of SVV modes in homogeneous 1D Direction. More...

Array< OneD, NekDouble >	m_svvVarDiffCoeff
	Array of coefficient if power kernel is used in SVV. More...

bool	m_IsSVVPowerKernel
	Identifier for Power Kernel otherwise DG kernel. 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...

NekDouble	m_flowrate
	Desired volumetric flowrate. More...

NekDouble	m_flowrateArea
	Area of the boundary through which we are measuring the flowrate. More...

bool	m_homd1DFlowinPlane

NekDouble	m_greenFlux
	Flux of the Stokes function solution. More...

NekDouble	m_alpha
	Current flowrate correction. More...

int	m_flowrateBndID
	Boundary ID of the flowrate reference surface. More...

int	m_planeID
	Plane ID for cases with homogeneous expansion. More...

MultiRegions::ExpListSharedPtr	m_flowrateBnd
	Flowrate reference surface. More...

Array< OneD, Array< OneD, NekDouble > >	m_flowrateStokes
	Stokes solution used to impose flowrate. More...

std::ofstream	m_flowrateStream
	Output stream to record flowrate. More...

int	m_flowrateSteps
	Interval at which to record flowrate data. More...

NekDouble	m_flowrateAiidt
	Value of aii_dt used to compute Stokes flowrate solution. 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...

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, 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_abortSteps
	Number of steps between checks for abort conditions. More...

int	m_filtersInfosteps
	Number of time steps between outputting filters 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...

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

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

Array< OneD, Array< OneD, NekDouble > >	m_previousSolution
	Storage for previous solution for steady-state check. More...

std::ofstream	m_errFile

std::vector< int >	m_intVariables

std::vector< std::pair< std::string, FilterSharedPtr > >	m_filters

NekDouble	m_filterTimeWarning
	Number of time steps between outputting status information. More...

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

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

std::map< std::string, SolverUtils::SessionFunctionSharedPtr >	m_sessionFunctions
	Map of known SessionFunctions. More...

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

Array< OneD, MultiRegions::ExpListSharedPtr >	m_fields
	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, 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...

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...

Static Protected Attributes inherited from Nektar::SolverUtils::EquationSystem
static std::string	equationSystemTypeLookupIds []

Detailed Description

Definition at line 42 of file VelocityCorrectionScheme.h.

Constructor & Destructor Documentation

◆ VelocityCorrectionScheme()

Nektar::VelocityCorrectionScheme::VelocityCorrectionScheme	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const SpatialDomains::MeshGraphSharedPtr &	pGraph
	)

Constructor.

Constructor. Creates ...

Parameters

Definition at line 60 of file VelocityCorrectionScheme.cpp.

         : UnsteadySystem(pSession, pGraph),
           IncNavierStokes(pSession, pGraph),
           m_varCoeffLap(StdRegions::NullVarCoeffMap)
     {
 
     }

◆ ~VelocityCorrectionScheme()

Nektar::VelocityCorrectionScheme::~VelocityCorrectionScheme ( void )

virtual

Destructor

Definition at line 480 of file VelocityCorrectionScheme.cpp.

481 {

482 }

Member Function Documentation

◆ AppendSVVFactors()

void Nektar::VelocityCorrectionScheme::AppendSVVFactors	(	StdRegions::ConstFactorMap &	factors,
		MultiRegions::VarFactorsMap &	varFactorsMap
	)

protected

Definition at line 1082 of file VelocityCorrectionScheme.cpp.

References Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDGKerDiffCoeff, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::StdRegions::eFactorSVVPowerKerDiffCoeff, m_IsSVVPowerKernel, Nektar::IncNavierStokes::m_kinvis, m_sVVCutoffRatio, m_sVVDiffCoeff, m_svvVarDiffCoeff, m_useSpecVanVisc, and Nektar::NullNekDouble1DArray.

Referenced by v_SolveViscous().

     {
 
         if(m_useSpecVanVisc)
         {
             factors[StdRegions::eFactorSVVCutoffRatio] = m_sVVCutoffRatio;
             factors[StdRegions::eFactorSVVDiffCoeff]   = m_sVVDiffCoeff/m_kinvis;
             if(m_svvVarDiffCoeff != NullNekDouble1DArray)
             {
                 if(m_IsSVVPowerKernel)
                 {
                     varFactorsMap[StdRegions::eFactorSVVPowerKerDiffCoeff] =
                         m_svvVarDiffCoeff;
                 }
                 else
                 {
                     varFactorsMap[StdRegions::eFactorSVVDGKerDiffCoeff] =
                         m_svvVarDiffCoeff;
                 }
             }
         }
 
     }

◆ create()

static SolverUtils::EquationSystemSharedPtr Nektar::VelocityCorrectionScheme::create	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const SpatialDomains::MeshGraphSharedPtr &	pGraph
	)

inlinestatic

Creates an instance of this class.

Definition at line 47 of file VelocityCorrectionScheme.h.

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

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

◆ EvaluateAdvection_SetPressureBCs()

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

inline

Definition at line 105 of file VelocityCorrectionScheme.h.

References v_EvaluateAdvection_SetPressureBCs().

Referenced by v_InitObject().

         {
             v_EvaluateAdvection_SetPressureBCs( inarray, outarray, time);
         }

◆ MeasureFlowrate()

NekDouble Nektar::VelocityCorrectionScheme::MeasureFlowrate ( const Array< OneD, Array< OneD, NekDouble > > & inarray )

protected

Measure the volumetric flow rate through the volumetric flow rate reference surface.

This routine computes the volumetric flow rate

\[ Q(\mathbf{u}) = \frac{1}{\mu(R)} \int_R \mathbf{u} \cdot d\mathbf{s} \]

through the boundary region \( R \).

Definition at line 405 of file VelocityCorrectionScheme.cpp.

References Nektar::SolverUtils::EquationSystem::eHomogeneous1D, Nektar::SolverUtils::EquationSystem::m_comm, Nektar::SolverUtils::EquationSystem::m_fields, m_flowrateArea, m_flowrateBnd, m_flowrateBndID, m_homd1DFlowinPlane, Nektar::SolverUtils::EquationSystem::m_HomogeneousType, m_planeID, Nektar::SolverUtils::EquationSystem::m_session, Nektar::SolverUtils::EquationSystem::m_spacedim, and Nektar::LibUtilities::ReduceSum.

Referenced by SetupFlowrate(), and SolveUnsteadyStokesSystem().

     {
         NekDouble flowrate = 0.0;
 
         if (m_flowrateBnd && m_flowrateBndID >= 0)
         {
             // If we're an actual boundary, calculate the vector flux through
             // the boundary.
             Array<OneD, Array<OneD, NekDouble> > boundary(m_spacedim);
 
             if(!m_homd1DFlowinPlane)
             {
                 // General case
                 for (int i = 0; i < m_spacedim; ++i)
                 {
                     m_fields[i]->ExtractPhysToBnd(m_flowrateBndID, inarray[i],
                                                   boundary[i]);
                 }
                 flowrate = m_flowrateBnd->VectorFlux(boundary);
             }
             else if(m_planeID == 0)
             {
                 //Homogeneous with forcing in plane. Calculate flux only on
                 // the meanmode - calculateFlux necessary for hybrid
                 // parallelisation.
                 for (int i = 0; i < m_spacedim; ++i)
                 {
                     m_fields[i]->GetPlane(m_planeID)->ExtractPhysToBnd(
                         m_flowrateBndID, inarray[i], boundary[i]);
                 }
 
                 // the flowrate is calculated on the mean mode so it needs to be
                 // multiplied by LZ to be consistent with the general case.
                 flowrate = m_flowrateBnd->VectorFlux(boundary) *
                            m_session->GetParameter("LZ");
             }
         }
         else if (m_flowrateBnd && !m_homd1DFlowinPlane)
         {
             // 3DH1D case with no Flowrate boundary defined: compute flux
             // through the zero-th (mean) plane.
             flowrate = m_flowrateBnd->Integral(inarray[2]);
         }
 
         // Communication to obtain the total flowrate
         if(!m_homd1DFlowinPlane && m_HomogeneousType == eHomogeneous1D)
         {
             m_comm->GetColumnComm()->AllReduce(flowrate, LibUtilities::ReduceSum);
         }
         else
         {
             m_comm->AllReduce(flowrate, LibUtilities::ReduceSum); 
         }
         return flowrate / m_flowrateArea;
     }

◆ SetUpExtrapolation()

void Nektar::VelocityCorrectionScheme::SetUpExtrapolation ( void )

protected

Definition at line 126 of file VelocityCorrectionScheme.cpp.

References Nektar::LibUtilities::NekFactory< tKey, tBase, tParam >::CreateInstance(), Nektar::eUnsteadyNavierStokes, Nektar::eUnsteadyStokes, Nektar::GetExtrapolateFactory(), Nektar::SolverUtils::AdvectionSystem::m_advObject, Nektar::IncNavierStokes::m_equationType, Nektar::IncNavierStokes::m_extrapolation, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::UnsteadySystem::m_intScheme, Nektar::IncNavierStokes::m_pressure, Nektar::SolverUtils::EquationSystem::m_session, Nektar::IncNavierStokes::m_velocity, v_GetExtrapolateStr(), and v_GetSubSteppingExtrapolateStr().

Referenced by v_InitObject().

     {
         // creation of the extrapolation object
         if (m_equationType == eUnsteadyNavierStokes ||
             m_equationType == eUnsteadyStokes)
         {
             std::string vExtrapolation = v_GetExtrapolateStr();
             if (m_session->DefinesSolverInfo("Extrapolation"))
             {
                 vExtrapolation = v_GetSubSteppingExtrapolateStr(
                     m_session->GetSolverInfo("Extrapolation"));
             }
             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);
         }
     }

◆ SetupFlowrate()

void Nektar::VelocityCorrectionScheme::SetupFlowrate ( NekDouble aii_dt )

protected

Set up the Stokes solution used to impose constant flowrate through a boundary.

This routine solves a Stokes equation using a unit forcing direction, specified by the user to be in the desired flow direction. This field can then be used to correct the end of each timestep to impose a constant volumetric flow rate through a user-defined boundary.

There are three modes of operation:

Standard two-dimensional or three-dimensional simulations (e.g. pipes or channels)
3DH1D simulations where the forcing is not in the homogeneous direction (e.g. channel flow, where the y-direction of the 2D mesh is perpendicular to the wall);
3DH1D simulations where the forcing is in the homogeneous direction (e.g. pipe flow in the z-direction).

In the first two cases, the user should define:

the Flowrate parameter, which dictates the volumetric flux through the reference area
tag a boundary region with the Flowrate user-defined type to define the reference area
define a FlowrateForce function with components ForceX, ForceY and ForceZ that defines a unit forcing in the appropriate direction.

In the latter case, the user should define only the Flowrate; the reference area is taken to be the homogeneous plane and the force is assumed to be the unit z-vector \( \hat{e}_z \).

This routine solves a single timestep of the Stokes problem (premultiplied by the backwards difference coefficient):

\[ \frac{\partial\mathbf{u}}{\partial t} = -\nabla p + \nu\nabla^2\mathbf{u} + \mathbf{f} \]

with a zero initial condition to obtain a field \( \mathbf{u}_s \). The flowrate is then corrected at each timestep \( n \) by adding the correction \( \alpha\mathbf{u}_s \) where

\[ \alpha = \frac{\overline{Q} - Q(\mathbf{u^n})}{Q(\mathbf{u}_s)} \]

where \( Q(\cdot)\) is the volumetric flux through the appropriate surface or line, which is implemented in VelocityCorrectionScheme::MeasureFlowrate. For more details, see chapter 3.2 of the thesis of D. Moxey (University of Warwick, 2011).

Definition at line 200 of file VelocityCorrectionScheme.cpp.

Referenced by SolveUnsteadyStokesSystem().

     {
         m_flowrateBndID = -1;
         m_flowrateArea = 0.0;
 
         const Array<OneD, const SpatialDomains::BoundaryConditionShPtr> &bcs =
             m_fields[0]->GetBndConditions();
 
         std::string forces[] = { "X", "Y", "Z" };
         Array<OneD, NekDouble> flowrateForce(m_spacedim, 0.0);
 
         // Set up flowrate forces.
         bool defined = true;
         for (int i = 0; i < m_spacedim; ++i)
         {
             std::string varName = std::string("Force") + forces[i];
             defined = m_session->DefinesFunction("FlowrateForce", varName);
 
             if (!defined && m_HomogeneousType == eHomogeneous1D)
             {
                 break;
             }
 
             ASSERTL0(defined,
                      "A 'FlowrateForce' function must defined with components "
                      "[ForceX, ...] to define direction of flowrate forcing");
 
             LibUtilities::EquationSharedPtr ffunc
                 = m_session->GetFunction("FlowrateForce", varName);
             flowrateForce[i] = ffunc->Evaluate();
         }
 
         // Define flag for case with homogeneous expansion and forcing not in the
         // z-direction
         m_homd1DFlowinPlane = false;
         if (defined && m_HomogeneousType == eHomogeneous1D)
         {
             m_homd1DFlowinPlane = true;
         }
 
         // For 3DH1D simulations, if force isn't defined then assume in
         // z-direction.
         if (!defined)
         {
             flowrateForce[2] = 1.0;
         }
 
         // Find the boundary condition that is tagged as the flowrate boundary.
         for (int i = 0; i < bcs.num_elements(); ++i)
         {
             if (boost::iequals(bcs[i]->GetUserDefined(), "Flowrate"))
             {
                 m_flowrateBndID = i;
                 break;
             }
         }
 
         int tmpBr = m_flowrateBndID;
         m_comm->AllReduce(tmpBr, LibUtilities::ReduceMax);
         ASSERTL0(tmpBr >= 0 || m_HomogeneousType == eHomogeneous1D,
                  "One boundary region must be marked using the 'Flowrate' "
                  "user-defined type to monitor the volumetric flowrate.");
 
         // Extract an appropriate expansion list to represents the boundary.
         if (m_flowrateBndID >= 0)
         {
             // For a boundary, extract the boundary itself.
             m_flowrateBnd = m_fields[0]->GetBndCondExpansions()[m_flowrateBndID];
         }
         else if (m_HomogeneousType == eHomogeneous1D && !m_homd1DFlowinPlane)
         {
             // For 3DH1D simulations with no force specified, find the mean
             // (0th) plane.
             Array<OneD, unsigned int> zIDs = m_fields[0]->GetZIDs();
             int tmpId = -1;
 
             for (int i = 0; i < zIDs.num_elements(); ++i)
             {
                 if (zIDs[i] == 0)
                 {
                     tmpId = i;
                     break;
                 }
             }
 
             ASSERTL1(tmpId <= 0, "Should be either at location 0 or -1 if not "
                                  "found");
 
             if (tmpId != -1)
             {
                 m_flowrateBnd = m_fields[0]->GetPlane(tmpId);
             }
         }
 
         // At this point, some processors may not have m_flowrateBnd set if they
         // don't contain the appropriate boundary. To calculate the area, we
         // integrate 1.0 over the boundary (which has been set up with the
         // appropriate subcommunicator to avoid deadlock), and then communicate
         // this to the other processors with an AllReduce.
         if (m_flowrateBnd)
         {
             Array<OneD, NekDouble> inArea(m_flowrateBnd->GetNpoints(), 1.0);
             m_flowrateArea = m_flowrateBnd->Integral(inArea);
         }
         m_comm->AllReduce(m_flowrateArea, LibUtilities::ReduceMax);
 
         // In homogeneous case with forcing not aligned to the z-direction,
         // redefine m_flowrateBnd so it is a 1D expansion
         if (m_HomogeneousType == eHomogeneous1D && m_homd1DFlowinPlane &&
             m_flowrateBnd)
         {
             // For 3DH1D simulations with no force specified, find the mean
             // (0th) plane.
             Array<OneD, unsigned int> zIDs = m_fields[0]->GetZIDs();
             m_planeID = -1;
 
             for (int i = 0; i < zIDs.num_elements(); ++i)
             {
                 if (zIDs[i] == 0)
                 {
                     m_planeID = i;
                     break;
                 }
             }
 
             ASSERTL1(m_planeID <= 0, "Should be either at location 0 or -1 if not "
                                  "found");
 
             if (m_planeID != -1)
             {
                 m_flowrateBnd = m_fields[0]
                                     ->GetBndCondExpansions()[m_flowrateBndID]
                                     ->GetPlane(m_planeID);
             }
         }
 
         // Set up some storage for the Stokes solution (to be stored in
         // m_flowrateStokes) and its initial condition (inTmp), which holds the
         // unit forcing.
         int nqTot = m_fields[0]->GetNpoints();
         Array<OneD, Array<OneD, NekDouble> > inTmp(m_spacedim);
         m_flowrateStokes = Array<OneD, Array<OneD, NekDouble> >(m_spacedim);
 
         for (int i = 0; i < m_spacedim; ++i)
         {
             inTmp[i] = Array<OneD, NekDouble>(
                 nqTot, flowrateForce[i] * aii_dt);
             m_flowrateStokes[i] = Array<OneD, NekDouble>(nqTot, 0.0);
 
             if (m_HomogeneousType == eHomogeneous1D)
             {
                 Array<OneD, NekDouble> inTmp2(nqTot);
                 m_fields[i]->HomogeneousFwdTrans(inTmp[i], inTmp2);
                 m_fields[i]->SetWaveSpace(true);
                 inTmp[i] = inTmp2;
             }
 
             Vmath::Zero(
                 m_fields[i]->GetNcoeffs(), m_fields[i]->UpdateCoeffs(), 1);
         }
 
         // Create temporary extrapolation object to avoid issues with
         // m_extrapolation for HOPBCs using higher order timestepping schemes.
         ExtrapolateSharedPtr tmpExtrap = m_extrapolation;
         m_extrapolation = GetExtrapolateFactory().CreateInstance(
             "Standard", m_session, m_fields, m_pressure, m_velocity,
             m_advObject);
 
         // Finally, calculate the solution and the flux of the Stokes
         // solution. We set m_greenFlux to maximum numeric limit, which signals
         // to SolveUnsteadyStokesSystem that we don't need to apply a flowrate
         // force.
         m_greenFlux = numeric_limits<NekDouble>::max();
         m_flowrateAiidt = aii_dt;
         SolveUnsteadyStokesSystem(inTmp, m_flowrateStokes, 0.0, aii_dt);
         m_greenFlux = MeasureFlowrate(m_flowrateStokes);
 
         // If the user specified IO_FlowSteps, open a handle to store output.
         if (m_comm->GetRank() == 0 && m_flowrateSteps &&
             !m_flowrateStream.is_open())
         {
             std::string filename = m_session->GetSessionName();
             filename += ".prs";
             m_flowrateStream.open(filename.c_str());
             m_flowrateStream.setf(ios::scientific, ios::floatfield);
             m_flowrateStream << "# step      time            dP" << endl
                              << "# -------------------------------------------"
                              << endl;
         }
 
         m_extrapolation = tmpExtrap;
     }

◆ SetUpPressureForcing()

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

inline

Definition at line 70 of file VelocityCorrectionScheme.h.

References v_SetUpPressureForcing().

Referenced by SolveUnsteadyStokesSystem().

         {
             v_SetUpPressureForcing( fields, Forcing, aii_Dt);
         }

◆ SetUpSVV()

void Nektar::VelocityCorrectionScheme::SetUpSVV ( void )

protected

Definition at line 834 of file VelocityCorrectionScheme.cpp.

References ASSERTL0, Nektar::SolverUtils::EquationSystem::eHomogeneous1D, Nektar::SolverUtils::EquationSystem::GetFunction(), Nektar::SolverUtils::EquationSystem::m_comm, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_HomogeneousType, m_IsSVVPowerKernel, Nektar::IncNavierStokes::m_kinvis, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::SolverUtils::EquationSystem::m_session, m_sVVCutoffRatio, m_sVVCutoffRatioHomo1D, m_sVVDiffCoeff, m_sVVDiffCoeffHomo1D, m_svvVarDiffCoeff, m_useHomo1DSpecVanVisc, m_useSpecVanVisc, Nektar::IncNavierStokes::m_velocity, Nektar::NullNekDouble1DArray, Nektar::NullNekDoubleArrayofArray, and SVVVarDiffCoeff().

Referenced by v_InitObject().

     {
 
         m_session->MatchSolverInfo("SpectralVanishingViscosity",
                                    "PowerKernel", m_useSpecVanVisc, false);
 
         if(m_useSpecVanVisc)
         {
             m_useHomo1DSpecVanVisc = true;
         }
         else
         {
             m_session->MatchSolverInfo("SpectralVanishingViscositySpectralHP",
                                        "PowerKernel", m_useSpecVanVisc, false);
         }
 
         if(m_useSpecVanVisc)
         {
             m_IsSVVPowerKernel = true;
         }
         else
         {
             m_session->MatchSolverInfo("SpectralVanishingViscosity","DGKernel",
                                        m_useSpecVanVisc, false);
             if(m_useSpecVanVisc)
             {
                 m_useHomo1DSpecVanVisc = true;
             }
             else
             {
                 m_session->MatchSolverInfo("SpectralVanishingViscositySpectralHP",
                                            "DGKernel", m_useSpecVanVisc, false);
             }
 
             if(m_useSpecVanVisc)
             {
                 m_IsSVVPowerKernel = false;
             }
         }
 
         //set up varcoeff kernel if PowerKernel or DG is specified
         if(m_useSpecVanVisc)
         {
             Array<OneD, Array<OneD, NekDouble> > SVVVelFields = NullNekDoubleArrayofArray;
             if(m_session->DefinesFunction("SVVVelocityMagnitude"))
             {
                 if (m_comm->GetRank() == 0)
                 {
                     cout << "Seting up SVV velocity from "
                         "SVVVelocityMagnitude section in session file" << endl;
                 }
                 int nvel = m_velocity.num_elements();
                 int phystot = m_fields[0]->GetTotPoints();
                 SVVVelFields = Array<OneD, Array<OneD, NekDouble> >(nvel);
                 vector<string> vars;
                 for(int i = 0; i < nvel; ++i)
                 {
                     SVVVelFields[i] = Array<OneD, NekDouble>(phystot);
                     vars.push_back(m_session->GetVariable(m_velocity[i]));
                 }
 
                 // Load up files into  m_fields;
                 GetFunction("SVVVelocityMagnitude")
                     ->Evaluate(vars,SVVVelFields);
             }
 
             m_svvVarDiffCoeff = Array<OneD, NekDouble>(m_fields[0]->GetNumElmts());
             SVVVarDiffCoeff(1.0,m_svvVarDiffCoeff,SVVVelFields);
             m_session->LoadParameter("SVVDiffCoeff",  m_sVVDiffCoeff,  1.0);
         }
         else
         {
             m_svvVarDiffCoeff = NullNekDouble1DArray;
             m_session->LoadParameter("SVVDiffCoeff",  m_sVVDiffCoeff,  0.1);
         }
 
         // Load parameters for Spectral Vanishing Viscosity
         if(m_useSpecVanVisc == false)
         {
             m_session->MatchSolverInfo("SpectralVanishingViscosity","True",
                                        m_useSpecVanVisc, false);
             if(m_useSpecVanVisc == false)
             {
                 m_session->MatchSolverInfo("SpectralVanishingViscosity","ExpKernel",
                                            m_useSpecVanVisc, false);
             }
             m_useHomo1DSpecVanVisc = m_useSpecVanVisc;
 
             if(m_useSpecVanVisc == false)
             {
                 m_session->MatchSolverInfo("SpectralVanishingViscositySpectralHP","True",
                                            m_useSpecVanVisc, false);
                 if(m_useSpecVanVisc == false)
                 {
                     m_session->MatchSolverInfo("SpectralVanishingViscositySpectralHP","ExpKernel",
                                                m_useSpecVanVisc, false);
                 }
             }
         }
 
 
         // Case of only Homo1D kernel
         if(m_session->DefinesSolverInfo("SpectralVanishingViscosityHomo1D"))
         {
             m_session->MatchSolverInfo("SpectralVanishingViscosityHomo1D",
                                 "True", m_useHomo1DSpecVanVisc, false);
             if(m_useHomo1DSpecVanVisc == false)
             {
                 m_session->MatchSolverInfo("SpectralVanishingViscosityHomo1D",
                                        "ExpKernel", m_useHomo1DSpecVanVisc, false);
             }
         }
 
         m_session->LoadParameter("SVVCutoffRatio",m_sVVCutoffRatio,0.75);
         m_session->LoadParameter("SVVCutoffRatioHomo1D",m_sVVCutoffRatioHomo1D,m_sVVCutoffRatio);
         m_session->LoadParameter("SVVDiffCoeffHomo1D",  m_sVVDiffCoeffHomo1D,  m_sVVDiffCoeff);
 
         if(m_HomogeneousType == eHomogeneous1D)
         {
             ASSERTL0(m_nConvectiveFields > 2,
                 "Expect to have three velocity fields with homogenous expansion");
 
             if(m_useHomo1DSpecVanVisc)
             {
                 Array<OneD, unsigned int> planes;
                 planes = m_fields[0]->GetZIDs();
 
                 int num_planes = planes.num_elements();
                 Array<OneD, NekDouble> SVV(num_planes,0.0);
                 NekDouble fac;
                 int kmodes = m_fields[0]->GetHomogeneousBasis()->GetNumModes();
                 int pstart;
 
                 pstart = m_sVVCutoffRatioHomo1D*kmodes;
 
                 for(int n = 0; n < num_planes; ++n)
                 {
                     if(planes[n] > pstart)
                     {
                         fac = (NekDouble)((planes[n] - kmodes)*(planes[n] - kmodes))/
                             ((NekDouble)((planes[n] - pstart)*(planes[n] - pstart)));
                         SVV[n] = m_sVVDiffCoeffHomo1D*exp(-fac)/m_kinvis;
                     }
                 }
 
                 for(int i = 0; i < m_velocity.num_elements(); ++i)
                 {
                     m_fields[m_velocity[i]]->SetHomo1DSpecVanVisc(SVV);
                 }
             }
         }
 
     }

◆ SetUpViscousForcing()

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

inline

Definition at line 78 of file VelocityCorrectionScheme.h.

References v_SetUpViscousForcing().

Referenced by SolveUnsteadyStokesSystem().

         {
             v_SetUpViscousForcing( inarray, Forcing, aii_Dt);
         }

◆ SolvePressure()

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

inline

Definition at line 86 of file VelocityCorrectionScheme.h.

References v_SolvePressure().

Referenced by SolveUnsteadyStokesSystem().

         {
             v_SolvePressure( Forcing);
         }

◆ SolveUnsteadyStokesSystem()

void Nektar::VelocityCorrectionScheme::SolveUnsteadyStokesSystem	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray,
		const NekDouble	time,
		const NekDouble	aii_Dt
	)

Implicit part of the method - Poisson + nConv*Helmholtz

Definition at line 676 of file VelocityCorrectionScheme.cpp.

References m_alpha, Nektar::IncNavierStokes::m_extrapolation, m_F, Nektar::SolverUtils::EquationSystem::m_fields, m_flowrate, m_flowrateAiidt, m_flowrateStokes, m_greenFlux, Nektar::IncNavierStokes::m_kinvis, Nektar::SolverUtils::EquationSystem::m_spacedim, MeasureFlowrate(), SetupFlowrate(), SetUpPressureForcing(), SetUpViscousForcing(), SolvePressure(), SolveViscous(), and Vmath::Svtvp().

Referenced by SetupFlowrate(), SolveViscous(), and v_InitObject().

     {
         // Set up flowrate if we're starting for the first time or the value of
         // aii_Dt has changed.
         if (m_flowrate > 0.0 && (aii_Dt != m_flowrateAiidt))
         {
             SetupFlowrate(aii_Dt);
         }
 
         int physTot = m_fields[0]->GetTotPoints();
 
         // Substep the pressure boundary condition if using substepping
         m_extrapolation->SubStepSetPressureBCs(inarray,aii_Dt,m_kinvis);
 
         // Set up forcing term for pressure Poisson equation
         SetUpPressureForcing(inarray, m_F, aii_Dt);
 
         // Solve Pressure System
         SolvePressure (m_F[0]);
 
         // Set up forcing term for Helmholtz problems
         SetUpViscousForcing(inarray, m_F, aii_Dt);
 
         // Solve velocity system
         SolveViscous( m_F, outarray, aii_Dt);
 
         // Apply flowrate correction
         if (m_flowrate > 0.0 && m_greenFlux != numeric_limits<NekDouble>::max())
         {
             NekDouble currentFlux = MeasureFlowrate(outarray);
             m_alpha = (m_flowrate - currentFlux) / m_greenFlux;
 
             for (int i = 0; i < m_spacedim; ++i)
             {
                 Vmath::Svtvp(physTot, m_alpha, m_flowrateStokes[i], 1,
                              outarray[i], 1, outarray[i], 1);
             }
         }
     }

◆ SolveViscous()

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

inline

Definition at line 91 of file VelocityCorrectionScheme.h.

References SolveUnsteadyStokesSystem(), and v_SolveViscous().

Referenced by SolveUnsteadyStokesSystem().

         {
             v_SolveViscous( Forcing, outarray, aii_Dt);
         }

◆ SVVVarDiffCoeff()

void Nektar::VelocityCorrectionScheme::SVVVarDiffCoeff	(	const NekDouble	velmag,
		Array< OneD, NekDouble > &	diffcoeff,
		const Array< OneD, Array< OneD, NekDouble > > &	vel = `NullNekDoubleArrayofArray`
	)

protected

Definition at line 988 of file VelocityCorrectionScheme.cpp.

References Vmath::Fill(), Nektar::SolverUtils::EquationSystem::m_expdim, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::NullNekDoubleArrayofArray, CellMLToNektar.cellml_metadata::p, Vmath::Vmul(), Vmath::Vsqrt(), and Vmath::Vvtvp().

Referenced by SetUpSVV().

     {
         int phystot = m_fields[0]->GetTotPoints();
         int nel = m_fields[0]->GetNumElmts();
         int nvel,cnt;
 
         Array<OneD, NekDouble> tmp;
 
         Vmath::Fill(nel,velmag,diffcoeff,1);
 
         if(vel != NullNekDoubleArrayofArray)
         {
             Array<OneD, NekDouble> Velmag(phystot);
             nvel = vel.num_elements();
             // calculate magnitude of v
             Vmath::Vmul(phystot,vel[0],1,vel[0],1,Velmag,1);
             for(int n = 1; n < nvel; ++n)
             {
                 Vmath::Vvtvp(phystot,vel[n],1,vel[n],1,Velmag,1,
                              Velmag,1);
             }
             Vmath::Vsqrt(phystot,Velmag,1,Velmag,1);
 
 
             cnt = 0;
             Array<OneD, NekDouble> tmp;
             // calculate mean value of vel mag.
             for(int i = 0; i < nel; ++i)
             {
                 int nq = m_fields[0]->GetExp(i)->GetTotPoints();
                 tmp = Velmag + cnt;
                 diffcoeff[i] = m_fields[0]->GetExp(i)->Integral(tmp);
                 Vmath::Fill(nq,1.0,tmp,1);
                 NekDouble area = m_fields[0]->GetExp(i)->Integral(tmp);
                 diffcoeff[i] = diffcoeff[i]/area;
                 cnt += nq;
             }
         }
         else
         {
             nvel = m_expdim;
         }
 
         if(m_expdim == 3)
         {
             LocalRegions::Expansion3DSharedPtr exp3D;
             for (int e = 0; e < nel; e++)
             {
                 exp3D = m_fields[0]->GetExp(e)->as<LocalRegions::Expansion3D>();
                 NekDouble h = 0;
                 for(int i = 0; i < exp3D->GetNedges(); ++i)
                 {
 
                     h = max(h, exp3D->GetGeom3D()->GetEdge(i)->GetVertex(0)->dist(
                              *(exp3D->GetGeom3D()->GetEdge(i)->GetVertex(1))));
                 }
 
                 int p = 0;
                 for(int i = 0; i < 3; ++i)
                 {
                     p = max(p,exp3D->GetBasisNumModes(i)-1);
                 }
 
                 diffcoeff[e] *= h/p;
             }
         }
         else
         {
             LocalRegions::Expansion2DSharedPtr exp2D;
             for (int e = 0; e < nel; e++)
             {
                 exp2D = m_fields[0]->GetExp(e)->as<LocalRegions::Expansion2D>();
                 NekDouble h = 0;
                 for(int i = 0; i < exp2D->GetNedges(); ++i)
                 {
 
                    h = max(h, exp2D->GetGeom2D()->GetEdge(i)->GetVertex(0)->dist(
                              *(exp2D->GetGeom2D()->GetEdge(i)->GetVertex(1))));
                 }
 
                 int p = 0;
                 for(int i = 0; i < 2; ++i)
                 {
                     p = max(p,exp2D->GetBasisNumModes(i)-1);
                 }
 
                 diffcoeff[e] *= h/p;
             }
         }
     }

◆ v_DoInitialise()

void Nektar::VelocityCorrectionScheme::v_DoInitialise ( void )

protectedvirtual

Sets up initial conditions.

Sets the initial conditions.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Reimplemented in Nektar::VCSMapping.

Definition at line 561 of file VelocityCorrectionScheme.cpp.

References m_F, Nektar::SolverUtils::EquationSystem::m_fieldMetaDataMap, Nektar::SolverUtils::EquationSystem::m_fields, m_flowrateAiidt, Nektar::IncNavierStokes::m_kinvis, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::SolverUtils::EquationSystem::m_time, Nektar::SolverUtils::EquationSystem::m_timestep, Nektar::IncNavierStokes::SetBoundaryConditions(), and Nektar::SolverUtils::UnsteadySystem::v_DoInitialise().

     {
         m_F = Array<OneD, Array<OneD, NekDouble> > (m_nConvectiveFields);
 
         for (int i = 0; i < m_nConvectiveFields; ++i)
         {
             m_F[i] = Array< OneD, NekDouble> (m_fields[0]->GetTotPoints(), 0.0);
         }
 
         m_flowrateAiidt = 0.0;
 
         AdvectionSystem::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);
 
         // set boundary conditions here so that any normal component
         // correction are imposed before they are imposed on initial
         // field below
         SetBoundaryConditions(m_time);
 
         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());
         }
     }

◆ v_EvaluateAdvection_SetPressureBCs()

void Nektar::VelocityCorrectionScheme::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 in Nektar::VCSMapping.

Definition at line 647 of file VelocityCorrectionScheme.cpp.

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

Referenced by EvaluateAdvection_SetPressureBCs().

     {
         EvaluateAdvectionTerms(inarray, outarray);
 
         // Smooth advection
         if(m_SmoothAdvection)
         {
             for(int i = 0; i < m_nConvectiveFields; ++i)
             {
                 m_pressure->SmoothField(outarray[i]);
             }
         }
 
         // Add forcing terms
         for (auto &x : m_forcing)
         {
             x->Apply(m_fields, inarray, outarray, time);
         }
 
         // Calculate High-Order pressure boundary conditions
         m_extrapolation->EvaluatePressureBCs(inarray,outarray,m_kinvis);
     }

◆ v_GenerateSummary()

void Nektar::VelocityCorrectionScheme::v_GenerateSummary ( SolverUtils::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.

Reimplemented in Nektar::VCSWeakPressure.

Definition at line 487 of file VelocityCorrectionScheme.cpp.

References Nektar::SolverUtils::AddSummaryItem(), Nektar::SolverUtils::EquationSystem::eHomogeneous1D, Nektar::LibUtilities::eNoTimeIntegrationMethod, Nektar::IncNavierStokes::m_extrapolation, Nektar::SolverUtils::EquationSystem::m_homogen_dealiasing, Nektar::SolverUtils::EquationSystem::m_HomogeneousType, m_IsSVVPowerKernel, Nektar::SolverUtils::EquationSystem::m_specHP_dealiasing, m_sVVCutoffRatio, m_sVVCutoffRatioHomo1D, m_sVVDiffCoeff, m_sVVDiffCoeffHomo1D, m_svvVarDiffCoeff, m_useHomo1DSpecVanVisc, m_useSpecVanVisc, Nektar::NullNekDouble1DArray, Nektar::LibUtilities::TimeIntegrationMethodMap, and Nektar::SolverUtils::UnsteadySystem::v_GenerateSummary().

     {
         AdvectionSystem::v_GenerateSummary(s);
         SolverUtils::AddSummaryItem(s,
                 "Splitting Scheme", "Velocity correction (strong press. form)");
 
         if (m_extrapolation->GetSubStepIntegrationMethod() !=
             LibUtilities::eNoTimeIntegrationMethod)
         {
             SolverUtils::AddSummaryItem(s, "Substepping",
                              LibUtilities::TimeIntegrationMethodMap[
                               m_extrapolation->GetSubStepIntegrationMethod()]);
         }
 
         string dealias = m_homogen_dealiasing ? "Homogeneous1D" : "";
         if (m_specHP_dealiasing)
         {
             dealias += (dealias == "" ? "" : " + ") + string("spectral/hp");
         }
         if (dealias != "")
         {
             SolverUtils::AddSummaryItem(s, "Dealiasing", dealias);
         }
 
 
         string smoothing = m_useSpecVanVisc ? "spectral/hp" : "";
         if (smoothing != "")
         {
             if(m_svvVarDiffCoeff == NullNekDouble1DArray)
             {
                 SolverUtils::AddSummaryItem(
                    s, "Smoothing-SpecHP", "SVV (" + smoothing +
                    " Exp Kernel(cut-off = "
                    + boost::lexical_cast<string>(m_sVVCutoffRatio)
                    + ", diff coeff = "
                    + boost::lexical_cast<string>(m_sVVDiffCoeff)+"))");
             }
             else
             {
                 if(m_IsSVVPowerKernel)
                 {
                     SolverUtils::AddSummaryItem(
                        s, "Smoothing-SpecHP", "SVV (" + smoothing +
                        " Power Kernel (Power ratio ="
                        + boost::lexical_cast<string>(m_sVVCutoffRatio)
                        + ", diff coeff = "
                        + boost::lexical_cast<string>(m_sVVDiffCoeff)+"*Uh/p))");
                 }
                 else
                 {
                     SolverUtils::AddSummaryItem(
                        s, "Smoothing-SpecHP", "SVV (" + smoothing +
                        " DG Kernel (diff coeff = "
                        + boost::lexical_cast<string>(m_sVVDiffCoeff)+"*Uh/p))");
 
                 }
             }
 
         }
 
         if (m_useHomo1DSpecVanVisc && (m_HomogeneousType == eHomogeneous1D))
         {
             SolverUtils::AddSummaryItem(
                   s, "Smoothing-Homo1D", "SVV (Homogeneous1D - Exp Kernel(cut-off = "
                   + boost::lexical_cast<string>(m_sVVCutoffRatioHomo1D)
                   + ", diff coeff = "
                   + boost::lexical_cast<string>(m_sVVDiffCoeffHomo1D)+"))");
         }
 
     }

◆ v_GetExtrapolateStr()

virtual std::string Nektar::VelocityCorrectionScheme::v_GetExtrapolateStr ( void )

inlineprotectedvirtual

Reimplemented in Nektar::VCSWeakPressure.

Definition at line 206 of file VelocityCorrectionScheme.h.

Referenced by SetUpExtrapolation().

         {
             return "Standard";
         }

◆ v_GetForceDimension()

int Nektar::VelocityCorrectionScheme::v_GetForceDimension ( void )

protectedvirtual

Implements Nektar::IncNavierStokes.

Definition at line 639 of file VelocityCorrectionScheme.cpp.

References Nektar::SolverUtils::EquationSystem::m_session.

     {
         return m_session->GetVariables().size() - 1;
     }

◆ v_GetSubSteppingExtrapolateStr()

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

inlineprotectedvirtual

Reimplemented in Nektar::VCSWeakPressure.

Definition at line 211 of file VelocityCorrectionScheme.h.

Referenced by SetUpExtrapolation().

         {
             return instr;
         }

◆ v_GetSystemSingularChecks()

Array< OneD, bool > Nektar::VelocityCorrectionScheme::v_GetSystemSingularChecks ( )

protectedvirtual

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 628 of file VelocityCorrectionScheme.cpp.

References Nektar::SolverUtils::EquationSystem::m_session.

     {
         int vVar = m_session->GetVariables().size();
         Array<OneD, bool> vChecks(vVar, false);
         vChecks[vVar-1] = true;
         return vChecks;
     }

◆ v_InitObject()

void Nektar::VelocityCorrectionScheme::v_InitObject ( )

virtual

Init object for UnsteadySystem class.

Initialization object for UnsteadySystem class.

Reimplemented from Nektar::IncNavierStokes.

Reimplemented in Nektar::VCSMapping.

Definition at line 70 of file VelocityCorrectionScheme.cpp.

References ASSERTL0, Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineImplicitSolve(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineOdeRhs(), EvaluateAdvection_SetPressureBCs(), m_diffCoeff, Nektar::SolverUtils::UnsteadySystem::m_explicitDiffusion, Nektar::SolverUtils::EquationSystem::m_fields, m_flowrate, m_flowrateSteps, Nektar::SolverUtils::UnsteadySystem::m_intVariables, Nektar::IncNavierStokes::m_kinvis, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::SolverUtils::UnsteadySystem::m_ode, Nektar::IncNavierStokes::m_pressure, Nektar::SolverUtils::EquationSystem::m_session, Nektar::IncNavierStokes::m_SmoothAdvection, SetUpExtrapolation(), SetUpSVV(), SolveUnsteadyStokesSystem(), and Nektar::IncNavierStokes::v_InitObject().

Referenced by Nektar::VCSMapping::v_InitObject().

     {
         int n;
 
         IncNavierStokes::v_InitObject();
         m_explicitDiffusion = false;
 
         // Set m_pressure to point to last field of m_fields;
         if (boost::iequals(m_session->GetVariable(m_fields.num_elements()-1), "p"))
         {
             m_nConvectiveFields = m_fields.num_elements()-1;
             m_pressure = m_fields[m_nConvectiveFields];
         }
         else
         {
             ASSERTL0(false,"Need to set up pressure field definition");
         }
 
         // Determine diffusion coefficients for each field
         m_diffCoeff = Array<OneD, NekDouble> (m_nConvectiveFields, m_kinvis);
         for (n = 0; n < m_nConvectiveFields; ++n)
         {
             std::string varName = m_session->GetVariable(n);
             if ( m_session->DefinesFunction("DiffusionCoefficient", varName))
             {
                 LibUtilities::EquationSharedPtr ffunc
                     = m_session->GetFunction("DiffusionCoefficient", varName);
                 m_diffCoeff[n] = ffunc->Evaluate();
             }
         }
 
         // Integrate only the convective fields
         for (n = 0; n < m_nConvectiveFields; ++n)
         {
             m_intVariables.push_back(n);
         }
 
         SetUpExtrapolation();
         SetUpSVV();
 
         m_session->MatchSolverInfo("SmoothAdvection", "True",
                                     m_SmoothAdvection, false);
 
         // set explicit time-intregration class operators
         m_ode.DefineOdeRhs(
             &VelocityCorrectionScheme::EvaluateAdvection_SetPressureBCs, this);
 
         // set implicit time-intregration class operators
         m_ode.DefineImplicitSolve(
             &VelocityCorrectionScheme::SolveUnsteadyStokesSystem, this);
 
         // Set up bits for flowrate.
         m_session->LoadParameter("Flowrate", m_flowrate, 0.0);
         m_session->LoadParameter("IO_FlowSteps", m_flowrateSteps, 0);
     }

◆ v_PostIntegrate()

bool Nektar::VelocityCorrectionScheme::v_PostIntegrate ( int step )

protectedvirtual

Reimplemented from Nektar::SolverUtils::AdvectionSystem.

Definition at line 462 of file VelocityCorrectionScheme.cpp.

References m_alpha, Nektar::SolverUtils::EquationSystem::m_comm, m_flowrateSteps, m_flowrateStream, Nektar::SolverUtils::EquationSystem::m_time, and Nektar::SolverUtils::AdvectionSystem::v_PostIntegrate().

     {
         if (m_flowrateSteps > 0)
         {
             if (m_comm->GetRank() == 0 && (step + 1) % m_flowrateSteps == 0)
             {
                 m_flowrateStream << setw(8) << step << setw(16) << m_time
                                  << setw(16) << m_alpha << endl;
             }
         }
 
         return IncNavierStokes::v_PostIntegrate(step);
     }

◆ v_RequireFwdTrans()

virtual bool Nektar::VelocityCorrectionScheme::v_RequireFwdTrans ( )

inlineprotectedvirtual

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 201 of file VelocityCorrectionScheme.h.

         {
             return false || m_flowrate > 0.0;
         }

◆ v_SetUpPressureForcing()

void Nektar::VelocityCorrectionScheme::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 in Nektar::VCSMapping, and Nektar::VCSWeakPressure.

Definition at line 723 of file VelocityCorrectionScheme.cpp.

References Nektar::MultiRegions::DirCartesianMap, Nektar::MultiRegions::eX, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::IncNavierStokes::m_velocity, Vmath::Smul(), and Vmath::Vadd().

Referenced by SetUpPressureForcing(), and Nektar::VCSMapping::v_SetUpPressureForcing().

     {
         int i;
         int physTot = m_fields[0]->GetTotPoints();
         int nvel = m_velocity.num_elements();
 
         m_fields[0]->PhysDeriv(eX,fields[0], Forcing[0]);
 
         for(i = 1; i < nvel; ++i)
         {
             // Use Forcing[1] as storage since it is not needed for the pressure
             m_fields[i]->PhysDeriv(DirCartesianMap[i],fields[i],Forcing[1]);
             Vmath::Vadd(physTot,Forcing[1],1,Forcing[0],1,Forcing[0],1);
         }
 
         Vmath::Smul(physTot,1.0/aii_Dt,Forcing[0],1,Forcing[0],1);
     }

◆ v_SetUpViscousForcing()

void Nektar::VelocityCorrectionScheme::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 in Nektar::VCSMapping.

Definition at line 747 of file VelocityCorrectionScheme.cpp.

References Blas::Daxpy(), Blas::Dscal(), m_diffCoeff, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::IncNavierStokes::m_pressure, Nektar::IncNavierStokes::m_velocity, and Vmath::Zero().

Referenced by SetUpViscousForcing().

     {
         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[m_velocity[0]],
                                   Forcing[m_velocity[1]]);
         }
         else
         {
             m_pressure->PhysDeriv(m_pressure->GetPhys(),
                                   Forcing[m_velocity[0]],
                                   Forcing[m_velocity[1]],
                                   Forcing[m_velocity[2]]);
         }
 
         // zero convective fields.
         for(int i = nvel; i < m_nConvectiveFields; ++i)
         {
             Vmath::Zero(phystot,Forcing[i],1);
         }
 
         // Subtract inarray/(aii_dt) and divide by kinvis. Kinvis will
         // need to be updated for the convected fields.
         for(int i = 0; i < m_nConvectiveFields; ++i)
         {
             Blas::Daxpy(phystot,-aii_dtinv,inarray[i],1,Forcing[i],1);
             Blas::Dscal(phystot,1.0/m_diffCoeff[i],&(Forcing[i])[0],1);
         }
     }

◆ v_SolvePressure()

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

protectedvirtual

Solve pressure system

Reimplemented in Nektar::VCSMapping, and Nektar::VCSWeakPressure.

Definition at line 792 of file VelocityCorrectionScheme.cpp.

References Nektar::StdRegions::eFactorLambda, Nektar::IncNavierStokes::m_extrapolation, Nektar::IncNavierStokes::m_kinvis, Nektar::IncNavierStokes::m_pressure, and Nektar::NullFlagList.

Referenced by SolvePressure(), and Nektar::VCSMapping::v_SolvePressure().

     {
         StdRegions::ConstFactorMap factors;
         // Setup coefficient for equation
         factors[StdRegions::eFactorLambda] = 0.0;
 
         // Solver Pressure Poisson Equation
         m_pressure->HelmSolve(Forcing, m_pressure->UpdateCoeffs(),
                               NullFlagList, factors);
 
         // Add presure to outflow bc if using convective like BCs
         m_extrapolation->AddPressureToOutflowBCs(m_kinvis);
     }

◆ v_SolveViscous()

void Nektar::VelocityCorrectionScheme::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 in Nektar::VCSMapping.

Definition at line 810 of file VelocityCorrectionScheme.cpp.

References AppendSVVFactors(), Nektar::StdRegions::eFactorLambda, m_diffCoeff, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::NullFlagList, Nektar::StdRegions::NullVarCoeffMap, and Nektar::MultiRegions::NullVarFactorsMap.

Referenced by SolveViscous(), and Nektar::VCSMapping::v_SolveViscous().

     {
         StdRegions::ConstFactorMap factors;
         StdRegions::VarCoeffMap varCoeffMap = StdRegions::NullVarCoeffMap;
         MultiRegions::VarFactorsMap varFactorsMap =
             MultiRegions::NullVarFactorsMap;
 
         AppendSVVFactors(factors,varFactorsMap);
 
         // Solve Helmholtz system and put in Physical space
         for(int i = 0; i < m_nConvectiveFields; ++i)
         {
             // Setup coefficients for equation
             factors[StdRegions::eFactorLambda] = 1.0/aii_Dt/m_diffCoeff[i];
             m_fields[i]->HelmSolve(Forcing[i], m_fields[i]->UpdateCoeffs(),
                                    NullFlagList,  factors, varCoeffMap,
                                    varFactorsMap);
             m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(),outarray[i]);
         }
     }

◆ v_TransCoeffToPhys()

void Nektar::VelocityCorrectionScheme::v_TransCoeffToPhys ( void )

protectedvirtual

Virtual function for transformation to physical space.

Reimplemented from Nektar::IncNavierStokes.

Definition at line 599 of file VelocityCorrectionScheme.cpp.

References Nektar::SolverUtils::EquationSystem::m_fields.

     {
         int nfields = m_fields.num_elements() - 1;
         for (int k=0 ; k < nfields; ++k)
         {
             //Backward Transformation in physical space for time evolution
             m_fields[k]->BwdTrans_IterPerExp(m_fields[k]->GetCoeffs(),
                                              m_fields[k]->UpdatePhys());
         }
     }

◆ v_TransPhysToCoeff()

void Nektar::VelocityCorrectionScheme::v_TransPhysToCoeff ( void )

protectedvirtual

Virtual function for transformation to coefficient space.

Reimplemented from Nektar::IncNavierStokes.

Definition at line 613 of file VelocityCorrectionScheme.cpp.

References Nektar::SolverUtils::EquationSystem::m_fields.

     {
 
         int nfields = m_fields.num_elements() - 1;
         for (int k=0 ; k < nfields; ++k)
         {
             //Forward Transformation in physical space for time evolution
             m_fields[k]->FwdTrans_IterPerExp(m_fields[k]->GetPhys(),
                                              m_fields[k]->UpdateCoeffs());
         }
     }

Member Data Documentation

◆ className

string Nektar::VelocityCorrectionScheme::className

static

Initial value:

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

Name of class.

Definition at line 59 of file VelocityCorrectionScheme.h.