Nektar::VelocityCorrectionScheme Class Reference

#include <VelocityCorrectionScheme.h>

Inheritance diagram for Nektar::VelocityCorrectionScheme:

Public Member Functions
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	SolveSolid (NekDouble time)
void	SolveViscous (const Array< OneD, const Array< OneD, NekDouble > > &Forcing, const Array< OneD, const Array< OneD, NekDouble > > &inarray, 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
int	GetNConvectiveFields (void)
void	AddForcing (const SolverUtils::ForcingSharedPtr &pForce)
bool	DefinedForcing (const std::string &sForce)
Public Member Functions inherited from Nektar::SolverUtils::AdvectionSystem
SOLVER_UTILS_EXPORT	AdvectionSystem (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
SOLVER_UTILS_EXPORT	~AdvectionSystem () override=default
SOLVER_UTILS_EXPORT AdvectionSharedPtr	GetAdvObject ()
	Returns the advection object held by this instance.
SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	GetElmtCFLVals (const bool FlagAcousticCFL=true)
SOLVER_UTILS_EXPORT NekDouble	GetCFLEstimate (int &elmtid)
Public Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
SOLVER_UTILS_EXPORT	~UnsteadySystem () override=default
	Destructor.
SOLVER_UTILS_EXPORT NekDouble	GetTimeStep (const Array< OneD, const Array< OneD, NekDouble > > &inarray)
	Calculate the larger time-step mantaining the problem stable.
SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()
SOLVER_UTILS_EXPORT void	SetTimeStep (const NekDouble timestep)
SOLVER_UTILS_EXPORT void	SteadyStateResidual (int step, Array< OneD, NekDouble > &L2)
SOLVER_UTILS_EXPORT LibUtilities::TimeIntegrationSchemeSharedPtr &	GetTimeIntegrationScheme ()
	Returns the time integration scheme.
SOLVER_UTILS_EXPORT LibUtilities::TimeIntegrationSchemeOperators &	GetTimeIntegrationSchemeOperators ()
	Returns the time integration scheme operators.
Public Member Functions inherited from Nektar::SolverUtils::EquationSystem
virtual SOLVER_UTILS_EXPORT	~EquationSystem ()
	Destructor.
SOLVER_UTILS_EXPORT void	InitObject (bool DeclareField=true)
	Initialises the members of this object.
SOLVER_UTILS_EXPORT void	DoInitialise (bool dumpInitialConditions=true)
	Perform any initialisation necessary before solving the problem.
SOLVER_UTILS_EXPORT void	DoSolve ()
	Solve the problem.
SOLVER_UTILS_EXPORT void	TransCoeffToPhys ()
	Transform from coefficient to physical space.
SOLVER_UTILS_EXPORT void	TransPhysToCoeff ()
	Transform from physical to coefficient space.
SOLVER_UTILS_EXPORT void	Output ()
	Perform output operations after solve.
SOLVER_UTILS_EXPORT std::string	GetSessionName ()
	Get Session name.
template<class T >
std::shared_ptr< T >	as ()
SOLVER_UTILS_EXPORT void	ResetSessionName (std::string newname)
	Reset Session name.
SOLVER_UTILS_EXPORT LibUtilities::SessionReaderSharedPtr	GetSession ()
	Get Session name.
SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	GetPressure ()
	Get pressure field if available.
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.
SOLVER_UTILS_EXPORT void	SetLambda (NekDouble lambda)
	Set parameter m_lambda.
SOLVER_UTILS_EXPORT SessionFunctionSharedPtr	GetFunction (std::string name, const MultiRegions::ExpListSharedPtr &field=MultiRegions::NullExpListSharedPtr, bool cache=false)
	Get a SessionFunction by name.
SOLVER_UTILS_EXPORT void	SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)
	Initialise the data in the dependent fields.
SOLVER_UTILS_EXPORT void	EvaluateExactSolution (int field, Array< OneD, NekDouble > &outfield, const NekDouble time)
	Evaluates an exact solution.
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.
SOLVER_UTILS_EXPORT NekDouble	L2Error (unsigned int field, bool Normalised=false)
	Compute the L2 error of the fields.
SOLVER_UTILS_EXPORT NekDouble	LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Linf error computation.
SOLVER_UTILS_EXPORT NekDouble	H1Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln, bool Normalised=false)
	Compute the H1 error between fields and a given exact solution.
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].
SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n)
	Write checkpoint file of m_fields.
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.
SOLVER_UTILS_EXPORT void	Checkpoint_BaseFlow (const int n)
	Write base flow file of m_fields.
SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname)
	Write field data to the given filename.
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.
SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
	Input field data from the given file.
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.
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.
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.
SOLVER_UTILS_EXPORT void	SessionSummary (SummaryList &vSummary)
	Write out a session summary.
SOLVER_UTILS_EXPORT Array< OneD, MultiRegions::ExpListSharedPtr > &	UpdateFields ()
SOLVER_UTILS_EXPORT LibUtilities::FieldMetaDataMap &	UpdateFieldMetaDataMap ()
	Get hold of FieldInfoMap so it can be updated.
SOLVER_UTILS_EXPORT NekDouble	GetTime ()
	Return final time.
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 void	SetSteps (const int steps)
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, const Array< OneD, const NekDouble > &input)
SOLVER_UTILS_EXPORT Array< OneD, NekDouble > &	UpdatePhysField (const int i)
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 int	GetInfoSteps ()
SOLVER_UTILS_EXPORT void	SetInfoSteps (int num)
SOLVER_UTILS_EXPORT void	SetIterationNumberPIT (int num)
SOLVER_UTILS_EXPORT void	SetWindowNumberPIT (int num)
SOLVER_UTILS_EXPORT Array< OneD, const Array< OneD, NekDouble > >	GetTraceNormals ()
SOLVER_UTILS_EXPORT LibUtilities::FieldMetaDataMap &	GetFieldMetaDataMap (void)
SOLVER_UTILS_EXPORT void	SetTime (const NekDouble time)
SOLVER_UTILS_EXPORT void	SetTimeStep (const NekDouble timestep)
SOLVER_UTILS_EXPORT void	SetInitialStep (const int step)
SOLVER_UTILS_EXPORT void	SetBoundaryConditions (NekDouble time)
	Evaluates the boundary conditions at the given time.
SOLVER_UTILS_EXPORT bool	NegatedOp ()
	Identify if operator is negated in DoSolve.
Public Member Functions inherited from Nektar::SolverUtils::ALEHelper
virtual	~ALEHelper ()=default
virtual SOLVER_UTILS_EXPORT void	v_ALEInitObject (int spaceDim, Array< OneD, MultiRegions::ExpListSharedPtr > &fields)
SOLVER_UTILS_EXPORT void	InitObject (int spaceDim, Array< OneD, MultiRegions::ExpListSharedPtr > &fields)
virtual SOLVER_UTILS_EXPORT void	v_UpdateGridVelocity (const NekDouble &time)
virtual SOLVER_UTILS_EXPORT void	v_ALEPreMultiplyMass (Array< OneD, Array< OneD, NekDouble > > &fields)
SOLVER_UTILS_EXPORT void	ALEDoElmtInvMass (Array< OneD, Array< OneD, NekDouble > > &traceNormals, Array< OneD, Array< OneD, NekDouble > > &fields, NekDouble time)
	Update m_fields with u^n by multiplying by inverse mass matrix. That's then used in e.g. checkpoint output and L^2 error calculation.
SOLVER_UTILS_EXPORT void	ALEDoElmtInvMassBwdTrans (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
SOLVER_UTILS_EXPORT void	MoveMesh (const NekDouble &time, Array< OneD, Array< OneD, NekDouble > > &traceNormals)
SOLVER_UTILS_EXPORT void	ResetMatricesNormal (Array< OneD, Array< OneD, NekDouble > > &traceNormals)
SOLVER_UTILS_EXPORT void	UpdateNormalsFlag ()
const Array< OneD, const Array< OneD, NekDouble > > &	GetGridVelocity ()
bool &	GetUpdateNormalsFlag ()
SOLVER_UTILS_EXPORT const Array< OneD, const Array< OneD, NekDouble > > &	GetGridVelocityTrace ()
SOLVER_UTILS_EXPORT void	ExtraFldOutputGridVelocity (std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
SOLVER_UTILS_EXPORT void	ExtraFldOutputGrid (std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
Public Member Functions inherited from Nektar::SolverUtils::FluidInterface
virtual	~FluidInterface ()=default
SOLVER_UTILS_EXPORT void	GetVelocity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &velocity)
	Extract array with velocity from physfield.
SOLVER_UTILS_EXPORT bool	HasConstantDensity ()
SOLVER_UTILS_EXPORT void	GetDensity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &density)
	Extract array with density from physfield.
SOLVER_UTILS_EXPORT void	GetPressure (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &pressure)
	Extract array with pressure from physfield.
SOLVER_UTILS_EXPORT void	SetMovingFrameVelocities (const Array< OneD, NekDouble > &vFrameVels)
SOLVER_UTILS_EXPORT bool	GetMovingFrameVelocities (Array< OneD, NekDouble > &vFrameVels)
SOLVER_UTILS_EXPORT void	SetMovingFrameDisp (const Array< OneD, NekDouble > &vFrameDisp)
SOLVER_UTILS_EXPORT bool	GetMovingFrameDisp (Array< OneD, NekDouble > &vFrameDisp)
SOLVER_UTILS_EXPORT void	SetMovingFramePivot (const Array< OneD, NekDouble > &vFramePivot)
SOLVER_UTILS_EXPORT void	GetMovingFramePivot (Array< OneD, NekDouble > &vFramePivot)
SOLVER_UTILS_EXPORT void	SetMovableDoFs (const std::set< int > &dirDoFs)
SOLVER_UTILS_EXPORT void	GetMovableDoFs (std::set< int > &dirDoFs)
SOLVER_UTILS_EXPORT void	SetAeroForce (Array< OneD, NekDouble > forces)
	Set aerodynamic force and moment.
SOLVER_UTILS_EXPORT void	GetAeroForce (Array< OneD, NekDouble > forces)
	Get aerodynamic force and moment.

Static Public Member Functions
static SolverUtils::EquationSystemSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Creates an instance of this class.

Static Public Attributes
static std::string	className
	Name of class.
Static Public Attributes inherited from Nektar::SolverUtils::UnsteadySystem
static std::string	cmdSetStartTime
static std::string	cmdSetStartChkNum

Protected Member Functions
	VelocityCorrectionScheme (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	~VelocityCorrectionScheme () override=default
void	v_InitObject (bool DeclareField=true) override
	Initialisation object for EquationSystem.
void	SetupFlowrate (NekDouble aii_dt)
	Set up the Stokes solution used to impose constant flowrate through a boundary.
NekDouble	MeasureFlowrate (const Array< OneD, Array< OneD, NekDouble > > &inarray)
	Measure the volumetric flow rate through the volumetric flow rate reference surface.
bool	v_PostIntegrate (int step) override
void	v_GenerateSummary (SolverUtils::SummaryList &s) override
	Print a summary of time stepping parameters.
void	v_TransCoeffToPhys (void) override
	Virtual function for transformation to physical space.
void	v_TransPhysToCoeff (void) override
	Virtual function for transformation to coefficient space.
void	v_DoInitialise (bool dumpInitialConditions=true) override
	Sets up initial conditions.
Array< OneD, bool >	v_GetSystemSingularChecks () override
int	v_GetForceDimension () override
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_SolveSolid (NekDouble time)
virtual void	v_SolveViscous (const Array< OneD, const Array< OneD, NekDouble > > &Forcing, const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble aii_Dt)
virtual void	v_SolveUnsteadyStokesSystem (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time, const NekDouble a_iixDt)
virtual void	v_EvaluateAdvection_SetPressureBCs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
bool	v_RequireFwdTrans () override
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, StdRegions::VarFactorsMap &varFactorsMap)
void	ComputeGJPNormalVelocity (const Array< OneD, const Array< OneD, NekDouble > > &inarray, StdRegions::VarCoeffMap &varcoeffs)
void	UpdateVelocityBCs (NekDouble time)
void	AddMovingFrameDataToParams (const std::vector< std::string > &strFrameData, const Array< OneD, NekDouble > &movingFrameData, std::map< std::string, NekDouble > &params)
Protected Member Functions inherited from Nektar::IncNavierStokes
	IncNavierStokes (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Constructor.
	~IncNavierStokes () override=default
void	v_GetPressure (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &pressure) override
void	v_GetDensity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &density) override
bool	v_HasConstantDensity () override
void	v_GetVelocity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &velocity) override
void	v_SetMovingFrameVelocities (const Array< OneD, NekDouble > &vFrameVels) override
bool	v_GetMovingFrameVelocities (Array< OneD, NekDouble > &vFrameVels) override
void	v_SetMovingFrameDisp (const Array< OneD, NekDouble > &vFrameDisp) override
void	v_SetMovingFramePivot (const Array< OneD, NekDouble > &vFramePivot) override
void	v_GetMovingFramePivot (Array< OneD, NekDouble > &vFramePivot) override
bool	v_GetMovingFrameDisp (Array< OneD, NekDouble > &vFrameDisp) override
void	v_SetAeroForce (Array< OneD, NekDouble > forces) override
void	v_GetAeroForce (Array< OneD, NekDouble > forces) override
void	v_SetMovableDoFs (const std::set< int > &dirDoFs) override
void	v_GetMovableDoFs (std::set< int > &dirDoFs) override
void	EvaluateAdvectionTerms (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
void	WriteModalEnergy (void)
void	SetBoundaryConditions (NekDouble time)
	time dependent boundary conditions updating
void	SetRadiationBoundaryForcing (int fieldid)
	Set Radiation forcing term.
void	SetZeroNormalVelocity ()
	Set Normal Velocity Component to Zero.
void	SetWomersleyBoundary (const int fldid, const int bndid)
	Set Womersley Profile if specified.
void	SetUpWomersley (const int fldid, const int bndid, std::string womstr)
	Set Up Womersley details.
MultiRegions::ExpListSharedPtr	v_GetPressure () override
Array< OneD, NekDouble >	v_GetMaxStdVelocity (const NekDouble SpeedSoundFactor) override
bool	v_PreIntegrate (int step) override
Protected Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
SOLVER_UTILS_EXPORT	UnsteadySystem (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Initialises UnsteadySystem class members.
SOLVER_UTILS_EXPORT void	v_DoSolve () override
	Solves an unsteady problem.
virtual SOLVER_UTILS_EXPORT void	v_PrintStatusInformation (const int step, const NekDouble cpuTime)
	Print Status Information.
virtual SOLVER_UTILS_EXPORT void	v_PrintSummaryStatistics (const NekDouble intTime)
	Print Summary Statistics.
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.
virtual SOLVER_UTILS_EXPORT void	v_SteadyStateResidual (int step, Array< OneD, NekDouble > &L2)
virtual SOLVER_UTILS_EXPORT bool	v_UpdateTimeStepCheck ()
SOLVER_UTILS_EXPORT NekDouble	MaxTimeStepEstimator ()
	Get the maximum timestep estimator for cfl control.
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.
SOLVER_UTILS_EXPORT void	DoDummyProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Perform dummy projection.
Protected Member Functions inherited from Nektar::SolverUtils::EquationSystem
SOLVER_UTILS_EXPORT	EquationSystem (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Initialises EquationSystem class members.
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.
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.
virtual SOLVER_UTILS_EXPORT NekDouble	v_H1Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray, bool Normalised=false)
	Virtual function for the H_1 error computation between fields and a given exact solution.
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 bool	v_NegatedOp (void)
	Virtual function to identify if operator is negated in DoSolve.
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.
bool	m_useSpecVanVisc
	bool to identify if spectral vanishing viscosity is active.
bool	m_useGJPStabilisation
	bool to identify if GJP semi-implicit is active.
bool	m_useGJPNormalVel
	bool to identify if GJP normal Velocity should be applied in explicit approach
NekDouble	m_GJPJumpScale
NekDouble	m_sVVCutoffRatio
	cutt off ratio from which to start decayhing modes
NekDouble	m_sVVDiffCoeff
	Diffusion coefficient of SVV modes.
NekDouble	m_sVVCutoffRatioHomo1D
NekDouble	m_sVVDiffCoeffHomo1D
	Diffusion coefficient of SVV modes in homogeneous 1D Direction.
Array< OneD, NekDouble >	m_svvVarDiffCoeff
	Array of coefficient if power kernel is used in SVV.
bool	m_IsSVVPowerKernel
	Identifier for Power Kernel otherwise DG kernel.
Array< OneD, NekDouble >	m_diffCoeff
	Diffusion coefficients (will be kinvis for velocities)
StdRegions::VarCoeffMap	m_varCoeffLap
	Variable Coefficient map for the Laplacian which can be activated as part of SVV or otherwise.
NekDouble	m_flowrate
	Desired volumetric flowrate.
NekDouble	m_flowrateArea
	Area of the boundary through which we are measuring the flowrate.
bool	m_homd1DFlowinPlane
NekDouble	m_greenFlux
	Flux of the Stokes function solution.
NekDouble	m_alpha
	Current flowrate correction.
int	m_flowrateBndID
	Boundary ID of the flowrate reference surface.
int	m_planeID
	Plane ID for cases with homogeneous expansion.
MultiRegions::ExpListSharedPtr	m_flowrateBnd
	Flowrate reference surface.
Array< OneD, Array< OneD, NekDouble > >	m_flowrateStokes
	Stokes solution used to impose flowrate.
std::ofstream	m_flowrateStream
	Output stream to record flowrate.
int	m_flowrateSteps
	Interval at which to record flowrate data.
int	m_flowrateStepsPrecision
	Decimal precision of flow rate (alpha)
NekDouble	m_flowrateAiidt
	Value of aii_dt used to compute Stokes flowrate solution.
Array< OneD, Array< OneD, NekDouble > >	m_F
Protected Attributes inherited from Nektar::IncNavierStokes
ExtrapolateSharedPtr	m_extrapolation
IncBoundaryConditionsSharedPtr	m_IncNavierStokesBCs
std::ofstream	m_mdlFile
	modal energy file
bool	m_SmoothAdvection
	bool to identify if advection term smoothing is requested
std::vector< SolverUtils::ForcingSharedPtr >	m_forcing
	Forcing terms.
int	m_nConvectiveFields
	Number of fields to be convected;.
Array< OneD, int >	m_velocity
	int which identifies which components of m_fields contains the velocity (u,v,w);
MultiRegions::ExpListSharedPtr	m_pressure
	Pointer to field holding pressure field.
NekDouble	m_kinvis
	Kinematic viscosity.
int	m_energysteps
	dump energy to file at steps time
EquationType	m_equationType
	equation type;
Array< OneD, Array< OneD, int > >	m_fieldsBCToElmtID
	Mapping from BCs to Elmt IDs.
Array< OneD, Array< OneD, int > >	m_fieldsBCToTraceID
	Mapping from BCs to Elmt Edge IDs.
Array< OneD, Array< OneD, NekDouble > >	m_fieldsRadiationFactor
	RHS Factor for Radiation Condition.
int	m_intSteps
	Number of time integration steps AND Order of extrapolation for pressure boundary conditions.
Array< OneD, NekDouble >	m_pivotPoint
	pivot point for moving reference frame
Array< OneD, NekDouble >	m_aeroForces
std::map< int, std::map< int, WomersleyParamsSharedPtr > >	m_womersleyParams
	Womersley parameters if required.
Protected Attributes inherited from Nektar::SolverUtils::AdvectionSystem
SolverUtils::AdvectionSharedPtr	m_advObject
	Advection term.
Protected Attributes inherited from Nektar::SolverUtils::UnsteadySystem
LibUtilities::TimeIntegrationSchemeSharedPtr	m_intScheme
	Wrapper to the time integration scheme.
LibUtilities::TimeIntegrationSchemeOperators	m_ode
	The time integration scheme operators to use.
Array< OneD, Array< OneD, NekDouble > >	m_previousSolution
	Storage for previous solution for steady-state check.
std::vector< int >	m_intVariables
NekDouble	m_cflSafetyFactor
	CFL safety factor (comprise between 0 to 1).
NekDouble	m_CFLGrowth
	CFL growth rate.
NekDouble	m_CFLEnd
	Maximun cfl in cfl growth.
int	m_abortSteps
	Number of steps between checks for abort conditions.
bool	m_explicitDiffusion
	Indicates if explicit or implicit treatment of diffusion is used.
bool	m_explicitAdvection
	Indicates if explicit or implicit treatment of advection is used.
bool	m_explicitReaction
	Indicates if explicit or implicit treatment of reaction is used.
int	m_steadyStateSteps
	Check for steady state at step interval.
NekDouble	m_steadyStateTol
	Tolerance to which steady state should be evaluated at.
int	m_filtersInfosteps
	Number of time steps between outputting filters information.
std::vector< std::pair< std::string, FilterSharedPtr > >	m_filters
bool	m_homoInitialFwd
	Flag to determine if simulation should start in homogeneous forward transformed state.
std::ofstream	m_errFile
NekDouble	m_epsilon
	Diffusion coefficient.
Protected Attributes inherited from Nektar::SolverUtils::EquationSystem
LibUtilities::CommSharedPtr	m_comm
	Communicator.
bool	m_verbose
LibUtilities::SessionReaderSharedPtr	m_session
	The session reader.
std::map< std::string, SolverUtils::SessionFunctionSharedPtr >	m_sessionFunctions
	Map of known SessionFunctions.
LibUtilities::FieldIOSharedPtr	m_fld
	Field input/output.
Array< OneD, MultiRegions::ExpListSharedPtr >	m_fields
	Array holding all dependent variables.
SpatialDomains::BoundaryConditionsSharedPtr	m_boundaryConditions
	Pointer to boundary conditions object.
SpatialDomains::MeshGraphSharedPtr	m_graph
	Pointer to graph defining mesh.
std::string	m_sessionName
	Name of the session.
NekDouble	m_time
	Current time of simulation.
int	m_initialStep
	Number of the step where the simulation should begin.
NekDouble	m_fintime
	Finish time of the simulation.
NekDouble	m_timestep
	Time step size.
NekDouble	m_lambda
	Lambda constant in real system if one required.
NekDouble	m_checktime
	Time between checkpoints.
NekDouble	m_lastCheckTime
NekDouble	m_TimeIncrementFactor
int	m_nchk
	Number of checkpoints written so far.
int	m_steps
	Number of steps to take.
int	m_checksteps
	Number of steps between checkpoints.
int	m_infosteps
	Number of time steps between outputting status information.
int	m_iterPIT = 0
	Number of parallel-in-time time iteration.
int	m_windowPIT = 0
	Index of windows for parallel-in-time time iteration.
int	m_spacedim
	Spatial dimension (>= expansion dim).
int	m_expdim
	Expansion dimension.
bool	m_singleMode
	Flag to determine if single homogeneous mode is used.
bool	m_halfMode
	Flag to determine if half homogeneous mode is used.
bool	m_multipleModes
	Flag to determine if use multiple homogenenous modes are used.
bool	m_useFFT
	Flag to determine if FFT is used for homogeneous transform.
bool	m_homogen_dealiasing
	Flag to determine if dealiasing is used for homogeneous simulations.
bool	m_specHP_dealiasing
	Flag to determine if dealisising is usde for the Spectral/hp element discretisation.
enum MultiRegions::ProjectionType	m_projectionType
	Type of projection; e.g continuous or discontinuous.
Array< OneD, Array< OneD, NekDouble > >	m_traceNormals
	Array holding trace normals for DG simulations in the forwards direction.
Array< OneD, bool >	m_checkIfSystemSingular
	Flag to indicate if the fields should be checked for singularity.
LibUtilities::FieldMetaDataMap	m_fieldMetaDataMap
	Map to identify relevant solver info to dump in output fields.
Array< OneD, NekDouble >	m_movingFrameData
	Moving reference frame status in the body frame X, Y, Z, Theta_x, Theta_y, Theta_z, [inertial] U, V, W, Omega_x, Omega_y, Omega_z, [body] A_x, A_y, A_z, DOmega_x, DOmega_y, DOmega_z, [body] pivot_x, pivot_y, pivot_z [body].
std::vector< std::string >	m_strFrameData
	variable name in m_movingFrameData
std::vector< bool >	m_movableDoFs
int	m_NumQuadPointsError
	Number of Quadrature points used to work out the error.
enum HomogeneousType	m_HomogeneousType
NekDouble	m_LhomX
	physical length in X direction (if homogeneous)
NekDouble	m_LhomY
	physical length in Y direction (if homogeneous)
NekDouble	m_LhomZ
	physical length in Z direction (if homogeneous)
int	m_npointsX
	number of points in X direction (if homogeneous)
int	m_npointsY
	number of points in Y direction (if homogeneous)
int	m_npointsZ
	number of points in Z direction (if homogeneous)
int	m_HomoDirec
	number of homogenous directions
Protected Attributes inherited from Nektar::SolverUtils::ALEHelper
Array< OneD, MultiRegions::ExpListSharedPtr >	m_fieldsALE
Array< OneD, Array< OneD, NekDouble > >	m_gridVelocity
Array< OneD, Array< OneD, NekDouble > >	m_gridVelocityTrace
std::vector< ALEBaseShPtr >	m_ALEs
bool	m_ALESolver = false
bool	m_meshDistorted = false
bool	m_implicitALESolver = false
bool	m_updateNormals = false
NekDouble	m_prevStageTime = 0.0
int	m_spaceDim

Static Protected Attributes
static std::string	solverTypeLookupId
Static Protected Attributes inherited from Nektar::IncNavierStokes
static std::string	eqTypeLookupIds []
Static Protected Attributes inherited from Nektar::SolverUtils::EquationSystem
static std::string	equationSystemTypeLookupIds []
static std::string	projectionTypeLookupIds []

Friends
class	MemoryManager< VelocityCorrectionScheme >

Additional Inherited Members
Protected Types inherited from Nektar::SolverUtils::EquationSystem
enum	HomogeneousType { eHomogeneous1D , eHomogeneous2D , eHomogeneous3D , eNotHomogeneous }
	Parameter for homogeneous expansions. More...

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  )

protected

Constructor. Creates ...

Parameters

param

Definition at line 65 of file VelocityCorrectionScheme.cpp.

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

~VelocityCorrectionScheme()

Nektar::VelocityCorrectionScheme::~VelocityCorrectionScheme ( )

overrideprotecteddefault

Member Function Documentation

AddMovingFrameDataToParams()

void Nektar::VelocityCorrectionScheme::AddMovingFrameDataToParams ( const std::vector< std::string > &  strFrameData, const Array< OneD, NekDouble > &  movingFrameData, std::map< std::string, NekDouble > &  params  )

protected

Definition at line 1286 of file VelocityCorrectionScheme.cpp.

{
    for (size_t i = 0; i < strFrameData.size(); ++i)
    {
        if (std::fabs(movingFrameData[i]) != 0.0)
        {
            params[strFrameData[i]] = movingFrameData[i];
        }
    }
}

Referenced by UpdateVelocityBCs(), v_DoInitialise(), and v_EvaluateAdvection_SetPressureBCs().

AppendSVVFactors()

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

protected

Definition at line 1221 of file VelocityCorrectionScheme.cpp.

{
 
    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;
            }
        }
    }
}

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(), and Nektar::VCSImplicit::v_SolveViscous().

ComputeGJPNormalVelocity()

void Nektar::VelocityCorrectionScheme::ComputeGJPNormalVelocity ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray, StdRegions::VarCoeffMap &  varcoeffs  )

protected

Definition at line 1252 of file VelocityCorrectionScheme.cpp.

{
    if (m_useGJPNormalVel)
    {
        MultiRegions::ContFieldSharedPtr cfield =
            std::dynamic_pointer_cast<MultiRegions::ContField>(m_fields[0]);
 
        cfield->InitGJPData();
 
        MultiRegions::GJPStabilisationSharedPtr GJPData = cfield->GetGJPData();
 
        int nTracePts = GJPData->GetNumTracePts();
        Array<OneD, NekDouble> unorm(nTracePts, 1.0);
        Array<OneD, NekDouble> Fwd(nTracePts), Bwd(nTracePts);
        Array<OneD, Array<OneD, NekDouble>> traceNormals =
            GJPData->GetTraceNormals();
 
        m_fields[0]->GetFwdBwdTracePhys(inarray[0], Fwd, Bwd, true, true);
        Vmath::Vmul(nTracePts, Fwd, 1, traceNormals[0], 1, unorm, 1);
 
        // Evaluate u.n on trace
        for (int f = 1; f < m_fields[0]->GetCoordim(0); ++f)
        {
            m_fields[0]->GetFwdBwdTracePhys(inarray[f], Fwd, Bwd, true, true);
            Vmath::Vvtvp(nTracePts, Fwd, 1, traceNormals[f], 1, unorm, 1, unorm,
                         1);
        }
        Vmath::Vabs(nTracePts, unorm, 1, unorm, 1);
        varcoeffs[StdRegions::eVarCoeffGJPNormVel] = unorm;
    }
}

References Nektar::StdRegions::eVarCoeffGJPNormVel, Nektar::SolverUtils::EquationSystem::m_fields, m_useGJPNormalVel, Vmath::Vabs(), Vmath::Vmul(), and Vmath::Vvtvp().

Referenced by v_SolveViscous(), and Nektar::VCSImplicit::v_SolveViscous().

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 48 of file VelocityCorrectionScheme.h.

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

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

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 102 of file VelocityCorrectionScheme.h.

    {
        v_EvaluateAdvection_SetPressureBCs(inarray, outarray, time);
    }

References v_EvaluateAdvection_SetPressureBCs().

Referenced by v_InitObject().

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 486 of file VelocityCorrectionScheme.cpp.

{
    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->GetSpaceComm()->AllReduce(flowrate, LibUtilities::ReduceSum);
    }
    return flowrate / m_flowrateArea;
}

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 v_SolveUnsteadyStokesSystem().

SetUpExtrapolation()

void Nektar::VelocityCorrectionScheme::SetUpExtrapolation ( void  )

protected

Definition at line 152 of file VelocityCorrectionScheme.cpp.

{
    // 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->SetForcing(m_forcing);
        m_extrapolation->SubSteppingTimeIntegration(m_intScheme);
        m_extrapolation->GenerateBndElmtExpansion();
        m_extrapolation->GenerateHOPBCMap(m_session);
        m_IncNavierStokesBCs =
            MemoryManager<IncBoundaryConditions>::AllocateSharedPtr();
        m_IncNavierStokesBCs->Initialize(m_session, m_fields);
    }
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), 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::IncNavierStokes::m_forcing, Nektar::IncNavierStokes::m_IncNavierStokesBCs, 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().

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 226 of file VelocityCorrectionScheme.cpp.

{
    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 (size_t i = 0; i < bcs.size(); ++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 (size_t i = 0; i < zIDs.size(); ++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 (size_t i = 0; i < zIDs.size(); ++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(nqTot, 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.
    // Zero pressure BCs in Neumann boundaries that may have been
    // set in the advection step.
    Array<OneD, const SpatialDomains::BoundaryConditionShPtr> PBndConds =
        m_pressure->GetBndConditions();
    Array<OneD, MultiRegions::ExpListSharedPtr> PBndExp =
        m_pressure->GetBndCondExpansions();
    for (size_t n = 0; n < PBndConds.size(); ++n)
    {
        if (PBndConds[n]->GetBoundaryConditionType() ==
            SpatialDomains::eNeumann)
        {
            Vmath::Zero(PBndExp[n]->GetNcoeffs(), PBndExp[n]->UpdateCoeffs(),
                        1);
        }
    }
 
    // 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     = std::numeric_limits<NekDouble>::max();
    m_flowrateAiidt = aii_dt;
 
    //  Save the number of convective field in case it is not set
    //  to spacedim. Only need velocity components for stokes forcing
    int SaveNConvectiveFields = m_nConvectiveFields;
    m_nConvectiveFields       = m_spacedim;
    // Save Dirichlet BCs and set to zero for Stokes solve
    std::map<std::pair<int, int>, Array<OneD, NekDouble>> SaveDirBCs;
    for (int i = 0; i < m_nConvectiveFields; ++i)
    {
        const Array<OneD, const ExpListSharedPtr> &BndCondExp =
            m_fields[i]->GetBndCondExpansions();
 
        for (int j = 0; j < BndCondExp.size(); ++j)
        {
            if (m_fields[i]
                    ->GetBndConditions()[j]
                    ->GetBoundaryConditionType() == SpatialDomains::eDirichlet)
            {
                Array<OneD, NekDouble> bndcoeffs =
                    m_fields[i]->UpdateBndCondExpansion(j)->UpdateCoeffs();
                SaveDirBCs[std::make_pair(i, j)] =
                    Array<OneD, NekDouble>(bndcoeffs.size(), bndcoeffs.data());
                Vmath::Zero(bndcoeffs.size(), bndcoeffs, 1);
            }
        }
    }
    SolveUnsteadyStokesSystem(inTmp, m_flowrateStokes, 0.0, aii_dt);
    // Reset Dirichlet BCs
    for (int i = 0; i < m_nConvectiveFields; ++i)
    {
        for (int j = 0; j < m_fields[i]->GetBndCondExpansions().size(); ++j)
        {
            if (m_fields[i]
                    ->GetBndConditions()[j]
                    ->GetBoundaryConditionType() == SpatialDomains::eDirichlet)
            {
                Array<OneD, NekDouble> bndcoeffs =
                    m_fields[i]->UpdateBndCondExpansion(j)->UpdateCoeffs();
                Vmath::Vcopy(bndcoeffs.size(), SaveDirBCs[std::make_pair(i, j)],
                             1, bndcoeffs, 1);
            }
        }
    }
 
    m_nConvectiveFields = SaveNConvectiveFields;
    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(std::ios::scientific, std::ios::floatfield);
        m_flowrateStream << "# step      time            dP" << std::endl
                         << "# -------------------------------------------"
                         << std::endl;
    }
 
    // Replace pressure BCs with those evaluated from advection step
    m_extrapolation->CopyPressureHBCsToPbndExp();
}

References ASSERTL0, ASSERTL1, Nektar::SpatialDomains::eDirichlet, Nektar::SolverUtils::EquationSystem::eHomogeneous1D, Nektar::SpatialDomains::eNeumann, Nektar::SolverUtils::EquationSystem::GetNcoeffs(), Nektar::SolverUtils::EquationSystem::m_comm, Nektar::IncNavierStokes::m_extrapolation, Nektar::SolverUtils::EquationSystem::m_fields, m_flowrateAiidt, m_flowrateArea, m_flowrateBnd, m_flowrateBndID, m_flowrateSteps, m_flowrateStokes, m_flowrateStream, m_greenFlux, m_homd1DFlowinPlane, Nektar::SolverUtils::EquationSystem::m_HomogeneousType, Nektar::IncNavierStokes::m_nConvectiveFields, m_planeID, Nektar::IncNavierStokes::m_pressure, Nektar::SolverUtils::EquationSystem::m_session, Nektar::SolverUtils::EquationSystem::m_spacedim, MeasureFlowrate(), Nektar::LibUtilities::ReduceMax, SolveUnsteadyStokesSystem(), Vmath::Vcopy(), and Vmath::Zero().

Referenced by v_SolveUnsteadyStokesSystem().

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 62 of file VelocityCorrectionScheme.h.

    {
        v_SetUpPressureForcing(fields, Forcing, aii_Dt);
    }

References v_SetUpPressureForcing().

Referenced by v_SolveUnsteadyStokesSystem().

SetUpSVV()

void Nektar::VelocityCorrectionScheme::SetUpSVV ( void  )

protected

Definition at line 993 of file VelocityCorrectionScheme.cpp.

{
 
    m_session->MatchSolverInfo("SpectralVanishingViscosity", "PowerKernel",
                               m_useSpecVanVisc, false);
 
    if (m_useSpecVanVisc)
    {
        m_useHomo1DSpecVanVisc = true;
    }
    else
    {
        m_useHomo1DSpecVanVisc = false;
 
        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)
            {
                std::cout << "Seting up SVV velocity from "
                             "SVVVelocityMagnitude section in session file"
                          << std::endl;
            }
            size_t nvel    = m_velocity.size();
            size_t phystot = m_fields[0]->GetTotPoints();
            SVVVelFields   = Array<OneD, Array<OneD, NekDouble>>(nvel);
            std::vector<std::string> vars;
            for (size_t 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();
 
            size_t num_planes = planes.size();
            Array<OneD, NekDouble> SVV(num_planes, 0.0);
            NekDouble fac;
            size_t kmodes = m_fields[0]->GetHomogeneousBasis()->GetNumModes();
            size_t pstart;
 
            pstart = m_sVVCutoffRatioHomo1D * kmodes;
 
            for (size_t 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 (size_t i = 0; i < m_velocity.size(); ++i)
            {
                m_fields[m_velocity[i]]->SetHomo1DSpecVanVisc(SVV);
            }
        }
    }
}

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().

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 69 of file VelocityCorrectionScheme.h.

    {
        v_SetUpViscousForcing(inarray, Forcing, aii_Dt);
    }

References v_SetUpViscousForcing().

Referenced by v_SolveUnsteadyStokesSystem().

SolvePressure()

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

inline

Definition at line 76 of file VelocityCorrectionScheme.h.

    {
        v_SolvePressure(Forcing);
    }

References v_SolvePressure().

Referenced by v_SolveUnsteadyStokesSystem().

SolveSolid()

void Nektar::VelocityCorrectionScheme::SolveSolid ( NekDouble  time )

inline

Definition at line 81 of file VelocityCorrectionScheme.h.

    {
        v_SolveSolid(time);
    }

References v_SolveSolid().

Referenced by v_SolveUnsteadyStokesSystem().

SolveUnsteadyStokesSystem()

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

inline

Definition at line 94 of file VelocityCorrectionScheme.h.

    {
        v_SolveUnsteadyStokesSystem(inarray, outarray, time, a_iixDt);
    }

References v_SolveUnsteadyStokesSystem().

Referenced by SetupFlowrate(), and v_InitObject().

SolveViscous()

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

inline

Definition at line 86 of file VelocityCorrectionScheme.h.

    {
        v_SolveViscous(Forcing, inarray, outarray, aii_Dt);
    }

References v_SolveViscous().

Referenced by v_SolveUnsteadyStokesSystem().

SVVVarDiffCoeff()

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

protected

Definition at line 1155 of file VelocityCorrectionScheme.cpp.

{
    size_t phystot = m_fields[0]->GetTotPoints();
    size_t nel     = m_fields[0]->GetNumElmts();
    size_t nvel, cnt;
 
    Array<OneD, NekDouble> tmp;
 
    Vmath::Fill(nel, velmag, diffcoeff, 1);
 
    if (vel != NullNekDoubleArrayOfArray)
    {
        Array<OneD, NekDouble> Velmag(phystot);
        nvel = vel.size();
        // calculate magnitude of v
        Vmath::Vmul(phystot, vel[0], 1, vel[0], 1, Velmag, 1);
        for (size_t 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 (size_t i = 0; i < nel; ++i)
        {
            size_t 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;
    }
 
    for (size_t e = 0; e < nel; e++)
    {
        LocalRegions::ExpansionSharedPtr exp = m_fields[0]->GetExp(e);
        NekDouble h                          = 0;
 
        // Find maximum length of edge.
        size_t nEdge = exp->GetGeom()->GetNumEdges();
        for (size_t i = 0; i < nEdge; ++i)
        {
            h = std::max(h, exp->GetGeom()->GetEdge(i)->GetVertex(0)->dist(
                                *(exp->GetGeom()->GetEdge(i)->GetVertex(1))));
        }
 
        int p = 0;
        for (int i = 0; i < m_expdim; ++i)
        {
            p = std::max(p, exp->GetBasisNumModes(i) - 1);
        }
 
        diffcoeff[e] *= h / p;
    }
}

References Vmath::Fill(), Nektar::SolverUtils::EquationSystem::m_expdim, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::NullNekDoubleArrayOfArray, Vmath::Vmul(), Vmath::Vsqrt(), and Vmath::Vvtvp().

Referenced by SetUpSVV().

UpdateVelocityBCs()

void Nektar::VelocityCorrectionScheme::UpdateVelocityBCs ( NekDouble  time )

protected

Definition at line 869 of file VelocityCorrectionScheme.cpp.

{
    // update velocity boundary condition
    Array<OneD, Array<OneD, NekDouble>> fields;
    Array<OneD, const Array<OneD, NekDouble>> Adv;
    std::map<std::string, NekDouble> params;
    params["Time"]     = time;
    params["velocity"] = 1.;
    AddMovingFrameDataToParams(m_strFrameData, m_movingFrameData, params);
    m_IncNavierStokesBCs->Update(fields, Adv, params);
}

References AddMovingFrameDataToParams(), Nektar::IncNavierStokes::m_IncNavierStokesBCs, Nektar::SolverUtils::EquationSystem::m_movingFrameData, and Nektar::SolverUtils::EquationSystem::m_strFrameData.

Referenced by v_SolveSolid(), and Nektar::VCSFSI::v_SolveSolid().

v_DoInitialise()

void Nektar::VelocityCorrectionScheme::v_DoInitialise ( bool  dumpInitialConditions = true )

overrideprotectedvirtual

Sets up initial conditions.

Sets the initial conditions.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 651 of file VelocityCorrectionScheme.cpp.

{
    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(dumpInitialConditions);
 
    // 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);
    std::map<std::string, NekDouble> params;
    params["Time"]     = m_time;
    params["velocity"] = 1.;
    AddMovingFrameDataToParams(m_strFrameData, m_movingFrameData, params);
    Array<OneD, Array<OneD, NekDouble>> fields;
    Array<OneD, Array<OneD, NekDouble>> Adv;
    m_IncNavierStokesBCs->Update(fields, Adv, params);
 
    // Ensure the initial conditions have correct BCs
    for (size_t i = 0; i < m_fields.size(); ++i)
    {
        m_fields[i]->ImposeDirichletConditions(m_fields[i]->UpdateCoeffs());
        m_fields[i]->LocalToGlobal();
        m_fields[i]->GlobalToLocal();
        m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(),
                              m_fields[i]->UpdatePhys());
    }
 
    if (m_useGJPStabilisation)
    {
        // initialise GJP in first field and copy to other convective fields
        if (m_fields[0]->GetGJPData() == nullptr)
        {
            std::dynamic_pointer_cast<MultiRegions::ContField>(m_fields[0])
                ->InitGJPData();
        }
        for (unsigned i = 1; i < m_nConvectiveFields; ++i)
        {
            std::dynamic_pointer_cast<MultiRegions::ContField>(m_fields[i])
                ->SetGJPData(m_fields[0]->GetGJPData());
        }
    }
}

References AddMovingFrameDataToParams(), Nektar::SolverUtils::EquationSystem::GetTotPoints(), m_F, Nektar::SolverUtils::EquationSystem::m_fieldMetaDataMap, Nektar::SolverUtils::EquationSystem::m_fields, m_flowrateAiidt, Nektar::IncNavierStokes::m_IncNavierStokesBCs, Nektar::IncNavierStokes::m_kinvis, Nektar::SolverUtils::EquationSystem::m_movingFrameData, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::SolverUtils::EquationSystem::m_strFrameData, Nektar::SolverUtils::EquationSystem::m_time, Nektar::SolverUtils::EquationSystem::m_timestep, m_useGJPStabilisation, and Nektar::IncNavierStokes::SetBoundaryConditions().

Referenced by Nektar::VCSImplicit::v_DoInitialise(), Nektar::PressDecompVCSFSI::v_DoInitialise(), and Nektar::VCSFSI::v_DoInitialise().

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, and Nektar::VCSImplicit.

Definition at line 758 of file VelocityCorrectionScheme.cpp.

{
    LibUtilities::Timer timer;
    timer.Start();
    EvaluateAdvectionTerms(inarray, outarray, time);
    timer.Stop();
    timer.AccumulateRegion("Advection Terms");
 
    // 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
    timer.Start();
    std::map<std::string, NekDouble> params;
    params["Kinvis"]   = m_kinvis;
    params["Time"]     = time + m_timestep;
    params["pressure"] = 1.;
    AddMovingFrameDataToParams(m_strFrameData, m_movingFrameData, params);
    m_extrapolation->EvaluatePressureBCs(inarray, outarray, m_kinvis);
    m_IncNavierStokesBCs->Update(inarray, outarray, params);
    timer.Stop();
    timer.AccumulateRegion("Pressure BCs");
}

References Nektar::LibUtilities::Timer::AccumulateRegion(), AddMovingFrameDataToParams(), Nektar::IncNavierStokes::EvaluateAdvectionTerms(), Nektar::IncNavierStokes::m_extrapolation, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::IncNavierStokes::m_forcing, Nektar::IncNavierStokes::m_IncNavierStokesBCs, Nektar::IncNavierStokes::m_kinvis, Nektar::SolverUtils::EquationSystem::m_movingFrameData, Nektar::IncNavierStokes::m_nConvectiveFields, Nektar::IncNavierStokes::m_pressure, Nektar::IncNavierStokes::m_SmoothAdvection, Nektar::SolverUtils::EquationSystem::m_strFrameData, Nektar::SolverUtils::EquationSystem::m_timestep, Nektar::LibUtilities::Timer::Start(), and Nektar::LibUtilities::Timer::Stop().

Referenced by EvaluateAdvection_SetPressureBCs().

v_GenerateSummary()

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

overrideprotectedvirtual

Print a summary of time stepping parameters.

Prints a summary with some information regards the time-stepping.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 564 of file VelocityCorrectionScheme.cpp.

{
    AdvectionSystem::v_GenerateSummary(s);
    SolverUtils::AddSummaryItem(s, "Splitting Scheme",
                                "Velocity correction (strong press. form)");
 
    if (m_extrapolation->GetSubStepName().size())
    {
        SolverUtils::AddSummaryItem(s, "Substepping",
                                    m_extrapolation->GetSubStepName());
    }
 
    std::string dealias = m_homogen_dealiasing ? "Homogeneous1D" : "";
    if (m_specHP_dealiasing)
    {
        dealias += (dealias == "" ? "" : " + ") + std::string("spectral/hp");
    }
    if (dealias != "")
    {
        SolverUtils::AddSummaryItem(s, "Dealiasing", dealias);
    }
 
    std::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<std::string>(m_sVVCutoffRatio) +
                    ", diff coeff = " +
                    boost::lexical_cast<std::string>(m_sVVDiffCoeff) + "))");
        }
        else
        {
            if (m_IsSVVPowerKernel)
            {
                SolverUtils::AddSummaryItem(
                    s, "Smoothing-SpecHP",
                    "SVV (" + smoothing + " Power Kernel (Power ratio =" +
                        boost::lexical_cast<std::string>(m_sVVCutoffRatio) +
                        ", diff coeff = " +
                        boost::lexical_cast<std::string>(m_sVVDiffCoeff) +
                        "*Uh/p))");
            }
            else
            {
                SolverUtils::AddSummaryItem(
                    s, "Smoothing-SpecHP",
                    "SVV (" + smoothing + " DG Kernel (diff coeff = " +
                        boost::lexical_cast<std::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<std::string>(m_sVVCutoffRatioHomo1D) +
                ", diff coeff = " +
                boost::lexical_cast<std::string>(m_sVVDiffCoeffHomo1D) + "))");
    }
 
    if (m_useGJPStabilisation)
    {
        SolverUtils::AddSummaryItem(
            s, "GJP Stab. Impl.    ",
            m_session->GetSolverInfo("GJPStabilisation"));
        SolverUtils::AddSummaryItem(s, "GJP Stab. JumpScale", m_GJPJumpScale);
 
        if (boost::iequals(m_session->GetSolverInfo("GJPStabilisation"),
                           "Explicit"))
        {
            SolverUtils::AddSummaryItem(
                s, "GJP Normal Velocity",
                m_session->GetSolverInfo("GJPNormalVelocity"));
        }
    }
}

References Nektar::SolverUtils::AddSummaryItem(), Nektar::SolverUtils::EquationSystem::eHomogeneous1D, Nektar::IncNavierStokes::m_extrapolation, m_GJPJumpScale, Nektar::SolverUtils::EquationSystem::m_homogen_dealiasing, Nektar::SolverUtils::EquationSystem::m_HomogeneousType, m_IsSVVPowerKernel, Nektar::SolverUtils::EquationSystem::m_session, Nektar::SolverUtils::EquationSystem::m_specHP_dealiasing, m_sVVCutoffRatio, m_sVVCutoffRatioHomo1D, m_sVVDiffCoeff, m_sVVDiffCoeffHomo1D, m_svvVarDiffCoeff, m_useGJPStabilisation, m_useHomo1DSpecVanVisc, m_useSpecVanVisc, and Nektar::NullNekDouble1DArray.

Referenced by Nektar::SmoothedProfileMethod::v_GenerateSummary().

v_GetExtrapolateStr()

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

inlineprotectedvirtual

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

Definition at line 228 of file VelocityCorrectionScheme.h.

    {
        return "Standard";
    }

Referenced by SetUpExtrapolation().

v_GetForceDimension()

int Nektar::VelocityCorrectionScheme::v_GetForceDimension ( void  )

overrideprotectedvirtual

Implements Nektar::IncNavierStokes.

Definition at line 750 of file VelocityCorrectionScheme.cpp.

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

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

v_GetSubSteppingExtrapolateStr()

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

inlineprotectedvirtual

Reimplemented in Nektar::VCSWeakPressure.

Definition at line 233 of file VelocityCorrectionScheme.h.

    {
        return instr;
    }

Referenced by SetUpExtrapolation().

v_GetSystemSingularChecks()

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

overrideprotectedvirtual

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 739 of file VelocityCorrectionScheme.cpp.

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

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

v_InitObject()

void Nektar::VelocityCorrectionScheme::v_InitObject ( bool  DeclareFeld = true )

overrideprotectedvirtual

Initialisation object for EquationSystem.

Continuous field

Setting up the normals

Setting up the normals

Reimplemented from Nektar::IncNavierStokes.

Definition at line 73 of file VelocityCorrectionScheme.cpp.

{
    int n;
 
    IncNavierStokes::v_InitObject(DeclareField);
    m_explicitDiffusion = false;
 
    // Set m_pressure to point to last field of m_fields;
    if (boost::iequals(m_session->GetVariable(m_fields.size() - 1), "p"))
    {
        m_nConvectiveFields = m_fields.size() - 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();
 
    // check to see if it is explicity turned off
    m_session->MatchSolverInfo("GJPStabilisation", "False",
                               m_useGJPStabilisation, true);
 
    // if GJPStabilisation set to False bool will be true and
    // if not false so negate/revese bool
    m_useGJPStabilisation = !m_useGJPStabilisation;
 
    m_session->MatchSolverInfo("GJPNormalVelocity", "True", m_useGJPNormalVel,
                               false);
 
    if (m_useGJPNormalVel)
    {
        ASSERTL0(!boost::iequals(m_session->GetSolverInfo("GJPStabilisation"),
                                 "SemiImplicit"),
                 "Can not  specify GJPNormalVelocity with"
                 " GJPStabilisation set to SemiImplicit");
    }
 
    m_session->LoadParameter("GJPJumpScale", m_GJPJumpScale, 1.0);
 
    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);
    m_session->LoadParameter("IO_FlowStepsPrecision", m_flowrateStepsPrecision,
                             6);
}

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, m_flowrateStepsPrecision, m_GJPJumpScale, 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, m_useGJPNormalVel, m_useGJPStabilisation, SetUpExtrapolation(), SetUpSVV(), SolveUnsteadyStokesSystem(), and Nektar::IncNavierStokes::v_InitObject().

Referenced by Nektar::PressDecompVCSFSI::v_InitObject(), Nektar::SmoothedProfileMethod::v_InitObject(), Nektar::VCSFSI::v_InitObject(), and Nektar::VCSMapping::v_InitObject().

v_PostIntegrate()

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

overrideprotectedvirtual

Reimplemented from Nektar::SolverUtils::AdvectionSystem.

Definition at line 543 of file VelocityCorrectionScheme.cpp.

{
    if (m_flowrateSteps > 0)
    {
        if (m_comm->GetRank() == 0 && (step + 1) % m_flowrateSteps == 0)
        {
            m_flowrateStream
                << std::setw(8) << step
                << std::setw(m_flowrateStepsPrecision + 10) << m_time
                << std::setw(m_flowrateStepsPrecision + 10) << std::fixed
                << std::setprecision(m_flowrateStepsPrecision) << m_alpha
                << std::endl;
        }
    }
 
    return IncNavierStokes::v_PostIntegrate(step);
}

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

v_RequireFwdTrans()

bool Nektar::VelocityCorrectionScheme::v_RequireFwdTrans ( void  )

inlineoverrideprotectedvirtual

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 223 of file VelocityCorrectionScheme.h.

    {
        return false;
    }

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, Nektar::VCSImplicit, and Nektar::VCSWeakPressure.

Definition at line 884 of file VelocityCorrectionScheme.cpp.

{
    size_t i;
    size_t physTot = m_fields[0]->GetTotPoints();
    size_t nvel    = m_velocity.size();
 
    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);
}

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().

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, and Nektar::VCSImplicit.

Definition at line 907 of file VelocityCorrectionScheme.cpp.

{
    NekDouble aii_dtinv = 1.0 / aii_Dt;
    size_t phystot      = m_fields[0]->GetTotPoints();
 
    // Grad p
    m_pressure->BwdTrans(m_pressure->GetCoeffs(), m_pressure->UpdatePhys());
 
    int nvel = m_velocity.size();
    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);
    }
}

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().

v_SolvePressure()

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

protectedvirtual

Solve pressure system

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

Definition at line 947 of file VelocityCorrectionScheme.cpp.

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

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

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

v_SolveSolid()

void Nektar::VelocityCorrectionScheme::v_SolveSolid ( NekDouble  time )

protectedvirtual

Reimplemented in Nektar::PressDecompVCSFSI, and Nektar::VCSFSI.

Definition at line 864 of file VelocityCorrectionScheme.cpp.

{
    UpdateVelocityBCs(time);
}

References UpdateVelocityBCs().

Referenced by SolveSolid().

v_SolveUnsteadyStokesSystem()

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

protectedvirtual

Implicit part of the method - Poisson + nConv*Helmholtz

Reimplemented in Nektar::SmoothedProfileMethod.

Definition at line 799 of file VelocityCorrectionScheme.cpp.

{
    // 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);
    }
 
    size_t 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
    LibUtilities::Timer timer;
    timer.Start();
    SetUpPressureForcing(inarray, m_F, aii_Dt);
    timer.Stop();
    timer.AccumulateRegion("Pressure Forcing");
 
    // Solve Pressure System
    timer.Start();
    SolvePressure(m_F[0]);
    timer.Stop();
    timer.AccumulateRegion("Pressure Solve");
 
    // Set up forcing term for Helmholtz problems
    timer.Start();
    SolveSolid(time);
    SetUpViscousForcing(inarray, m_F, aii_Dt);
    timer.Stop();
    timer.AccumulateRegion("Viscous Forcing");
 
    // Solve velocity system
    timer.Start();
    SolveViscous(m_F, inarray, outarray, aii_Dt);
    timer.Stop();
    timer.AccumulateRegion("Viscous Solve");
 
    // Apply flowrate correction
    if (m_flowrate > 0.0 &&
        m_greenFlux != std::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);
            // Enusre coeff space is updated for next time step
            m_fields[i]->FwdTransLocalElmt(outarray[i],
                                           m_fields[i]->UpdateCoeffs());
            // Impsoe symmetry of flow on coeff space (good to enfore
            // periodicity).
            m_fields[i]->LocalToGlobal();
            m_fields[i]->GlobalToLocal();
        }
    }
}

References Nektar::LibUtilities::Timer::AccumulateRegion(), 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(), SolveSolid(), SolveViscous(), Nektar::LibUtilities::Timer::Start(), Nektar::LibUtilities::Timer::Stop(), and Vmath::Svtvp().

Referenced by SolveUnsteadyStokesSystem(), and Nektar::SmoothedProfileMethod::v_SolveUnsteadyStokesSystem().

v_SolveViscous()

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

protectedvirtual

Solve velocity system

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

Definition at line 964 of file VelocityCorrectionScheme.cpp.

{
    StdRegions::ConstFactorMap factors;
    StdRegions::VarCoeffMap varCoeffMap     = StdRegions::NullVarCoeffMap;
    StdRegions::VarFactorsMap varFactorsMap = StdRegions::NullVarFactorsMap;
 
    AppendSVVFactors(factors, varFactorsMap);
    ComputeGJPNormalVelocity(inarray, varCoeffMap);
 
    // Solve Helmholtz system and put in Physical space
    for (int i = 0; i < m_nConvectiveFields; ++i)
    {
        // Add diffusion coefficient to GJP matrix operator (Implicit part)
        if (m_useGJPStabilisation)
        {
            factors[StdRegions::eFactorGJP] = m_GJPJumpScale / m_diffCoeff[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(), factors,
                               varCoeffMap, varFactorsMap);
        m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(), outarray[i]);
    }
}

References AppendSVVFactors(), ComputeGJPNormalVelocity(), Nektar::StdRegions::eFactorGJP, Nektar::StdRegions::eFactorLambda, m_diffCoeff, Nektar::SolverUtils::EquationSystem::m_fields, m_GJPJumpScale, Nektar::IncNavierStokes::m_nConvectiveFields, m_useGJPStabilisation, Nektar::StdRegions::NullVarCoeffMap, and Nektar::StdRegions::NullVarFactorsMap.

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

v_TransCoeffToPhys()

void Nektar::VelocityCorrectionScheme::v_TransCoeffToPhys ( void  )

overrideprotectedvirtual

Virtual function for transformation to physical space.

Reimplemented from Nektar::IncNavierStokes.

Definition at line 710 of file VelocityCorrectionScheme.cpp.

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

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

v_TransPhysToCoeff()

void Nektar::VelocityCorrectionScheme::v_TransPhysToCoeff ( void  )

overrideprotectedvirtual

Virtual function for transformation to coefficient space.

Reimplemented from Nektar::IncNavierStokes.

Definition at line 724 of file VelocityCorrectionScheme.cpp.

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

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

Friends And Related Symbol Documentation

MemoryManager< VelocityCorrectionScheme >

friend class MemoryManager< VelocityCorrectionScheme >

friend

Definition at line 262 of file VelocityCorrectionScheme.h.

Member Data Documentation

className

std::string Nektar::VelocityCorrectionScheme::className

static

Initial value:

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

Name of class.

Definition at line 60 of file VelocityCorrectionScheme.h.

m_alpha

NekDouble Nektar::VelocityCorrectionScheme::m_alpha

protected

Current flowrate correction.

Definition at line 148 of file VelocityCorrectionScheme.h.

Referenced by v_PostIntegrate(), and v_SolveUnsteadyStokesSystem().

m_diffCoeff

Array<OneD, NekDouble> Nektar::VelocityCorrectionScheme::m_diffCoeff

protected

Diffusion coefficients (will be kinvis for velocities)

Definition at line 133 of file VelocityCorrectionScheme.h.

Referenced by Nektar::VCSImplicit::AddImplicitSkewSymAdvection(), v_InitObject(), v_SetUpViscousForcing(), Nektar::VCSImplicit::v_SetUpViscousForcing(), v_SolveViscous(), and Nektar::VCSImplicit::v_SolveViscous().

m_F

Array<OneD, Array<OneD, NekDouble> > Nektar::VelocityCorrectionScheme::m_F

protected

Definition at line 166 of file VelocityCorrectionScheme.h.

Referenced by Nektar::VCSMapping::v_DoInitialise(), v_DoInitialise(), v_SolveUnsteadyStokesSystem(), and Nektar::SmoothedProfileMethod::v_SolveUnsteadyStokesSystem().

m_flowrate

NekDouble Nektar::VelocityCorrectionScheme::m_flowrate

protected

Desired volumetric flowrate.

Definition at line 140 of file VelocityCorrectionScheme.h.

Referenced by v_InitObject(), and v_SolveUnsteadyStokesSystem().

m_flowrateAiidt

NekDouble Nektar::VelocityCorrectionScheme::m_flowrateAiidt

protected

Value of aii_dt used to compute Stokes flowrate solution.

Definition at line 164 of file VelocityCorrectionScheme.h.

Referenced by SetupFlowrate(), v_DoInitialise(), and v_SolveUnsteadyStokesSystem().

m_flowrateArea

NekDouble Nektar::VelocityCorrectionScheme::m_flowrateArea

protected

Area of the boundary through which we are measuring the flowrate.

Definition at line 142 of file VelocityCorrectionScheme.h.

Referenced by MeasureFlowrate(), and SetupFlowrate().

m_flowrateBnd

MultiRegions::ExpListSharedPtr Nektar::VelocityCorrectionScheme::m_flowrateBnd

protected

Flowrate reference surface.

Definition at line 154 of file VelocityCorrectionScheme.h.

Referenced by MeasureFlowrate(), and SetupFlowrate().

m_flowrateBndID

int Nektar::VelocityCorrectionScheme::m_flowrateBndID

protected

Boundary ID of the flowrate reference surface.

Definition at line 150 of file VelocityCorrectionScheme.h.

Referenced by MeasureFlowrate(), and SetupFlowrate().

m_flowrateSteps

int Nektar::VelocityCorrectionScheme::m_flowrateSteps

protected

Interval at which to record flowrate data.

Definition at line 160 of file VelocityCorrectionScheme.h.

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

m_flowrateStepsPrecision

int Nektar::VelocityCorrectionScheme::m_flowrateStepsPrecision

protected

Decimal precision of flow rate (alpha)

Definition at line 162 of file VelocityCorrectionScheme.h.

Referenced by v_InitObject(), and v_PostIntegrate().

m_flowrateStokes

Array<OneD, Array<OneD, NekDouble> > Nektar::VelocityCorrectionScheme::m_flowrateStokes

protected

Stokes solution used to impose flowrate.

Definition at line 156 of file VelocityCorrectionScheme.h.

Referenced by SetupFlowrate(), and v_SolveUnsteadyStokesSystem().

m_flowrateStream

std::ofstream Nektar::VelocityCorrectionScheme::m_flowrateStream

protected

Output stream to record flowrate.

Definition at line 158 of file VelocityCorrectionScheme.h.

Referenced by SetupFlowrate(), and v_PostIntegrate().

m_GJPJumpScale

NekDouble Nektar::VelocityCorrectionScheme::m_GJPJumpScale

protected

Definition at line 120 of file VelocityCorrectionScheme.h.

Referenced by v_GenerateSummary(), Nektar::VCSImplicit::v_GenerateSummary(), Nektar::VCSWeakPressure::v_GenerateSummary(), v_InitObject(), v_SolveViscous(), and Nektar::VCSImplicit::v_SolveViscous().

m_greenFlux

NekDouble Nektar::VelocityCorrectionScheme::m_greenFlux

protected

Flux of the Stokes function solution.

Definition at line 146 of file VelocityCorrectionScheme.h.

Referenced by SetupFlowrate(), and v_SolveUnsteadyStokesSystem().

m_homd1DFlowinPlane

bool Nektar::VelocityCorrectionScheme::m_homd1DFlowinPlane

protected

Definition at line 144 of file VelocityCorrectionScheme.h.

Referenced by MeasureFlowrate(), and SetupFlowrate().

m_IsSVVPowerKernel

bool Nektar::VelocityCorrectionScheme::m_IsSVVPowerKernel

protected

Identifier for Power Kernel otherwise DG kernel.

Definition at line 131 of file VelocityCorrectionScheme.h.

Referenced by AppendSVVFactors(), SetUpSVV(), v_GenerateSummary(), and Nektar::VCSImplicit::v_GenerateSummary().

m_planeID

int Nektar::VelocityCorrectionScheme::m_planeID

protected

Plane ID for cases with homogeneous expansion.

Definition at line 152 of file VelocityCorrectionScheme.h.

Referenced by MeasureFlowrate(), and SetupFlowrate().

m_sVVCutoffRatio

NekDouble Nektar::VelocityCorrectionScheme::m_sVVCutoffRatio

protected

cutt off ratio from which to start decayhing modes

Definition at line 122 of file VelocityCorrectionScheme.h.

Referenced by AppendSVVFactors(), SetUpSVV(), v_GenerateSummary(), Nektar::VCSImplicit::v_GenerateSummary(), Nektar::VCSWeakPressure::v_GenerateSummary(), and Nektar::VCSMapping::v_SolveViscous().

m_sVVCutoffRatioHomo1D

NekDouble Nektar::VelocityCorrectionScheme::m_sVVCutoffRatioHomo1D

protected

Definition at line 125 of file VelocityCorrectionScheme.h.

Referenced by SetUpSVV(), v_GenerateSummary(), and Nektar::VCSImplicit::v_GenerateSummary().

m_sVVDiffCoeff

NekDouble Nektar::VelocityCorrectionScheme::m_sVVDiffCoeff

protected

Diffusion coefficient of SVV modes.

Definition at line 124 of file VelocityCorrectionScheme.h.

Referenced by AppendSVVFactors(), SetUpSVV(), v_GenerateSummary(), Nektar::VCSImplicit::v_GenerateSummary(), Nektar::VCSWeakPressure::v_GenerateSummary(), and Nektar::VCSMapping::v_SolveViscous().

m_sVVDiffCoeffHomo1D

NekDouble Nektar::VelocityCorrectionScheme::m_sVVDiffCoeffHomo1D

protected

Diffusion coefficient of SVV modes in homogeneous 1D Direction.

Definition at line 127 of file VelocityCorrectionScheme.h.

Referenced by SetUpSVV(), v_GenerateSummary(), and Nektar::VCSImplicit::v_GenerateSummary().

m_svvVarDiffCoeff

Array<OneD, NekDouble> Nektar::VelocityCorrectionScheme::m_svvVarDiffCoeff

protected

Array of coefficient if power kernel is used in SVV.

Definition at line 129 of file VelocityCorrectionScheme.h.

Referenced by AppendSVVFactors(), SetUpSVV(), v_GenerateSummary(), and Nektar::VCSImplicit::v_GenerateSummary().

m_useGJPNormalVel

bool Nektar::VelocityCorrectionScheme::m_useGJPNormalVel

protected

bool to identify if GJP normal Velocity should be applied in explicit approach

Definition at line 118 of file VelocityCorrectionScheme.h.

Referenced by ComputeGJPNormalVelocity(), and v_InitObject().

m_useGJPStabilisation

bool Nektar::VelocityCorrectionScheme::m_useGJPStabilisation

protected

bool to identify if GJP semi-implicit is active.

Definition at line 115 of file VelocityCorrectionScheme.h.

Referenced by v_DoInitialise(), v_GenerateSummary(), Nektar::VCSImplicit::v_GenerateSummary(), Nektar::VCSWeakPressure::v_GenerateSummary(), v_InitObject(), v_SolveViscous(), and Nektar::VCSImplicit::v_SolveViscous().

m_useHomo1DSpecVanVisc

bool Nektar::VelocityCorrectionScheme::m_useHomo1DSpecVanVisc

protected

bool to identify if spectral vanishing viscosity is active.

Definition at line 111 of file VelocityCorrectionScheme.h.

Referenced by SetUpSVV(), v_GenerateSummary(), Nektar::VCSImplicit::v_GenerateSummary(), and Nektar::VCSWeakPressure::v_GenerateSummary().

m_useSpecVanVisc

bool Nektar::VelocityCorrectionScheme::m_useSpecVanVisc

protected

bool to identify if spectral vanishing viscosity is active.

Definition at line 113 of file VelocityCorrectionScheme.h.

Referenced by AppendSVVFactors(), SetUpSVV(), v_GenerateSummary(), Nektar::VCSImplicit::v_GenerateSummary(), Nektar::VCSWeakPressure::v_GenerateSummary(), and Nektar::VCSMapping::v_SolveViscous().

m_varCoeffLap

StdRegions::VarCoeffMap Nektar::VelocityCorrectionScheme::m_varCoeffLap

protected

Variable Coefficient map for the Laplacian which can be activated as part of SVV or otherwise.

Definition at line 137 of file VelocityCorrectionScheme.h.

solverTypeLookupId

std::string Nektar::VelocityCorrectionScheme::solverTypeLookupId

staticprotected

Initial value:

=
    LibUtilities::SessionReader::RegisterEnumValue(
        "SolverType", "VelocityCorrectionScheme", eVelocityCorrectionScheme)

Definition at line 168 of file VelocityCorrectionScheme.h.