#include <MMFAdvection.h>

Inheritance diagram for Nektar::MMFAdvection:

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

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

virtual SOLVER_UTILS_EXPORT	~MMFSystem ()

SOLVER_UTILS_EXPORT void	MMFInitObject (const Array< OneD, const Array< OneD, NekDouble >> &Anisotropy, const int TangentXelem=-1)

SOLVER_UTILS_EXPORT void	CopyBoundaryTrace (const Array< OneD, const NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, const BoundaryCopyType BDCopyType, const int var=0, const std::string btype="NoUserDefined")

Public Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
virtual SOLVER_UTILS_EXPORT	~UnsteadySystem ()
	Destructor. More...

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep (const Array< OneD, const Array< OneD, NekDouble >> &inarray)
	Calculate the larger time-step mantaining the problem stable. More...

SOLVER_UTILS_EXPORT void	SteadyStateResidual (int step, Array< OneD, NekDouble > &L2)

Public Member Functions inherited from Nektar::SolverUtils::EquationSystem
virtual SOLVER_UTILS_EXPORT	~EquationSystem ()
	Destructor. More...

SOLVER_UTILS_EXPORT void	SetUpTraceNormals (void)

SOLVER_UTILS_EXPORT void	InitObject (bool DeclareField=true)
	Initialises the members of this object. More...

SOLVER_UTILS_EXPORT void	DoInitialise ()
	Perform any initialisation necessary before solving the problem. More...

SOLVER_UTILS_EXPORT void	DoSolve ()
	Solve the problem. More...

SOLVER_UTILS_EXPORT void	TransCoeffToPhys ()
	Transform from coefficient to physical space. More...

SOLVER_UTILS_EXPORT void	TransPhysToCoeff ()
	Transform from physical to coefficient space. More...

SOLVER_UTILS_EXPORT void	Output ()
	Perform output operations after solve. More...

SOLVER_UTILS_EXPORT NekDouble	LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Linf error computation. More...

SOLVER_UTILS_EXPORT std::string	GetSessionName ()
	Get Session name. More...

template<class T >
std::shared_ptr< T >	as ()

SOLVER_UTILS_EXPORT void	ResetSessionName (std::string newname)
	Reset Session name. More...

SOLVER_UTILS_EXPORT LibUtilities::SessionReaderSharedPtr	GetSession ()
	Get Session name. More...

SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	GetPressure ()
	Get pressure field if available. More...

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

SOLVER_UTILS_EXPORT void	PrintSummary (std::ostream &out)
	Print a summary of parameters and solver characteristics. More...

SOLVER_UTILS_EXPORT void	SetLambda (NekDouble lambda)
	Set parameter m_lambda. More...

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

SOLVER_UTILS_EXPORT void	SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)
	Initialise the data in the dependent fields. More...

SOLVER_UTILS_EXPORT void	EvaluateExactSolution (int field, Array< OneD, NekDouble > &outfield, const NekDouble time)
	Evaluates an exact solution. More...

SOLVER_UTILS_EXPORT NekDouble	L2Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln, bool Normalised=false)
	Compute the L2 error between fields and a given exact solution. More...

SOLVER_UTILS_EXPORT NekDouble	L2Error (unsigned int field, bool Normalised=false)
	Compute the L2 error of the fields. More...

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	ErrorExtraPoints (unsigned int field)
	Compute error (L2 and L_inf) over an larger set of quadrature points return [L2 Linf]. More...

SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n)
	Write checkpoint file of m_fields. More...

SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble >> &fieldcoeffs, std::vector< std::string > &variables)
	Write checkpoint file of custom data fields. More...

SOLVER_UTILS_EXPORT void	Checkpoint_BaseFlow (const int n)
	Write base flow file of m_fields. More...

SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname)
	Write field data to the given filename. More...

SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble >> &fieldcoeffs, std::vector< std::string > &variables)
	Write input fields to the given filename. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
	Input field data from the given file. More...

SOLVER_UTILS_EXPORT void	ImportFldToMultiDomains (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const int ndomains)
	Input field data from the given file to multiple domains. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, std::vector< std::string > &fieldStr, Array< OneD, Array< OneD, NekDouble >> &coeffs)
	Output a field. Input field data into array from the given file. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, MultiRegions::ExpListSharedPtr &pField, std::string &pFieldName)
	Output a field. Input field data into ExpList from the given file. More...

SOLVER_UTILS_EXPORT void	SessionSummary (SummaryList &vSummary)
	Write out a session summary. More...

SOLVER_UTILS_EXPORT Array< OneD, MultiRegions::ExpListSharedPtr > &	UpdateFields ()

SOLVER_UTILS_EXPORT LibUtilities::FieldMetaDataMap &	UpdateFieldMetaDataMap ()
	Get hold of FieldInfoMap so it can be updated. More...

SOLVER_UTILS_EXPORT NekDouble	GetFinalTime ()
	Return final time. More...

SOLVER_UTILS_EXPORT int	GetNcoeffs ()

SOLVER_UTILS_EXPORT int	GetNcoeffs (const int eid)

SOLVER_UTILS_EXPORT int	GetNumExpModes ()

SOLVER_UTILS_EXPORT const Array< OneD, int >	GetNumExpModesPerExp ()

SOLVER_UTILS_EXPORT int	GetNvariables ()

SOLVER_UTILS_EXPORT const std::string	GetVariable (unsigned int i)

SOLVER_UTILS_EXPORT int	GetTraceTotPoints ()

SOLVER_UTILS_EXPORT int	GetTraceNpoints ()

SOLVER_UTILS_EXPORT int	GetExpSize ()

SOLVER_UTILS_EXPORT int	GetPhys_Offset (int n)

SOLVER_UTILS_EXPORT int	GetCoeff_Offset (int n)

SOLVER_UTILS_EXPORT int	GetTotPoints ()

SOLVER_UTILS_EXPORT int	GetTotPoints (int n)

SOLVER_UTILS_EXPORT int	GetNpoints ()

SOLVER_UTILS_EXPORT int	GetSteps ()

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()

SOLVER_UTILS_EXPORT void	CopyFromPhysField (const int i, Array< OneD, NekDouble > &output)

SOLVER_UTILS_EXPORT void	CopyToPhysField (const int i, const Array< OneD, const NekDouble > &input)

SOLVER_UTILS_EXPORT void	SetSteps (const int steps)

SOLVER_UTILS_EXPORT void	ZeroPhysFields ()

SOLVER_UTILS_EXPORT void	FwdTransFields ()

SOLVER_UTILS_EXPORT void	SetModifiedBasis (const bool modbasis)

SOLVER_UTILS_EXPORT int	GetCheckpointNumber ()

SOLVER_UTILS_EXPORT void	SetCheckpointNumber (int num)

SOLVER_UTILS_EXPORT int	GetCheckpointSteps ()

SOLVER_UTILS_EXPORT void	SetCheckpointSteps (int num)

SOLVER_UTILS_EXPORT int	GetInfoSteps ()

SOLVER_UTILS_EXPORT void	SetInfoSteps (int num)

SOLVER_UTILS_EXPORT int	GetPararealIterationNumber ()

SOLVER_UTILS_EXPORT void	SetPararealIterationNumber (int num)

SOLVER_UTILS_EXPORT bool	GetUseInitialCondition ()

SOLVER_UTILS_EXPORT void	SetUseInitialCondition (bool num)

SOLVER_UTILS_EXPORT Array< OneD, const Array< OneD, NekDouble > >	GetTraceNormals ()

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. More...

virtual SOLVER_UTILS_EXPORT bool	v_NegatedOp ()
	Virtual function to identify if operator is negated in DoSolve. More...

SOLVER_UTILS_EXPORT bool	ParallelInTime ()
	Check if solver use Parallel-in-Time. More...

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

virtual SOLVER_UTILS_EXPORT	~AdvectionSystem ()

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

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	GetElmtCFLVals (const bool FlagAcousticCFL=true)

SOLVER_UTILS_EXPORT NekDouble	GetCFLEstimate (int &elmtid)

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

Public Attributes
TestType	m_TestType

Public Attributes inherited from Nektar::SolverUtils::MMFSystem
NekDouble	m_pi

int	m_shapedim

SurfaceType	m_surfaceType

UpwindType	m_upwindType

TestMaxwellType	m_TestMaxwellType

PolType	m_PolType

IncType	m_IncType

Array< OneD, NekDouble >	m_MMFfactors

Public Attributes inherited from Nektar::SolverUtils::UnsteadySystem
NekDouble	m_cflSafetyFactor
	CFL safety factor (comprise between 0 to 1). More...

NekDouble	m_cflNonAcoustic

NekDouble	m_CFLGrowth
	CFL growth rate. More...

NekDouble	m_CFLEnd
	maximun cfl in cfl growth More...

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

Static Public Attributes inherited from Nektar::SolverUtils::UnsteadySystem
static std::string	cmdSetStartTime

static std::string	cmdSetStartChkNum

Protected Member Functions
	MMFAdvection (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Session reader. More...

void	WeakDGDirectionalAdvection (const Array< OneD, Array< OneD, NekDouble >> &InField, Array< OneD, Array< OneD, NekDouble >> &OutField)

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

void	GetFluxVectorDeAlias (const Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, Array< OneD, NekDouble >>> &flux)
	Evaluate the flux at each solution point using dealiasing. More...

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

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

void	EvaluateAdvectionVelocity (Array< OneD, Array< OneD, NekDouble >> &velocity)

NekDouble	ComputeCirculatingArclength (const NekDouble zlevel, const NekDouble Rhs)

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

void	ComputeNablaCdotVelocity (Array< OneD, NekDouble > &vellc)

void	ComputeveldotMF (Array< OneD, Array< OneD, NekDouble >> &veldotMF)

void	AdvectionBellPlane (Array< OneD, NekDouble > &outfield)

void	AdvectionBellSphere (Array< OneD, NekDouble > &outfield)

void	Test2Dproblem (const NekDouble time, Array< OneD, NekDouble > &outfield)

void	Test3Dproblem (const NekDouble time, Array< OneD, NekDouble > &outfield)

virtual void	v_InitObject (bool DeclareFields=true) override
	Initialise the object. More...

virtual void	v_DoSolve () override
	Solves an unsteady problem. More...

virtual void	v_GenerateSummary (SolverUtils::SummaryList &s) override
	Print Summary. More...

virtual void	v_SetInitialConditions (const NekDouble initialtime, bool dumpInitialConditions, const int domain) override

virtual void	v_EvaluateExactSolution (unsigned int field, Array< OneD, NekDouble > &outfield, const NekDouble time) override

Protected Member Functions inherited from Nektar::SolverUtils::MMFSystem
void	SetUpMovingFrames (const Array< OneD, const Array< OneD, NekDouble >> &Anisotropy, const int TangentXelem)

void	CheckMovingFrames (const Array< OneD, const Array< OneD, NekDouble >> &movingframes)

SOLVER_UTILS_EXPORT void	ComputencdotMF ()

SOLVER_UTILS_EXPORT void	ComputeDivCurlMF ()

SOLVER_UTILS_EXPORT void	ComputeMFtrace ()

SOLVER_UTILS_EXPORT void	VectorDotProd (const Array< OneD, const Array< OneD, NekDouble >> &v1, const Array< OneD, const Array< OneD, NekDouble >> &v2, Array< OneD, NekDouble > &v3)

SOLVER_UTILS_EXPORT void	VectorCrossProd (const Array< OneD, const Array< OneD, NekDouble >> &v1, const Array< OneD, const Array< OneD, NekDouble >> &v2, Array< OneD, Array< OneD, NekDouble >> &v3)

SOLVER_UTILS_EXPORT void	VectorCrossProd (const Array< OneD, NekDouble > &v1, const Array< OneD, NekDouble > &v2, Array< OneD, NekDouble > &v3)

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

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	CartesianToMovingframes (const Array< OneD, const Array< OneD, NekDouble >> &uvec, unsigned int field)

SOLVER_UTILS_EXPORT void	DeriveCrossProductMF (Array< OneD, Array< OneD, NekDouble >> &CrossProductMF)

SOLVER_UTILS_EXPORT void	ComputeNtimesMF ()

SOLVER_UTILS_EXPORT void	ComputeNtimesFz (const int dir, const Array< OneD, Array< OneD, NekDouble >> &Fwd, const Array< OneD, Array< OneD, NekDouble >> &Bwd, const Array< OneD, const NekDouble > &imFwd, const Array< OneD, const NekDouble > &imBwd, Array< OneD, NekDouble > &outarrayFwd, Array< OneD, NekDouble > &outarrayBwd)

SOLVER_UTILS_EXPORT void	ComputeNtimesF12 (const Array< OneD, Array< OneD, NekDouble >> &Fwd, const Array< OneD, Array< OneD, NekDouble >> &Bwd, const Array< OneD, const NekDouble > &im1Fwd, const Array< OneD, const NekDouble > &im1Bwd, const Array< OneD, const NekDouble > &im2Fwd, const Array< OneD, const NekDouble > &im2Bwd, Array< OneD, NekDouble > &outarrayFwd, Array< OneD, NekDouble > &outarrayBwd)

SOLVER_UTILS_EXPORT void	ComputeNtimestimesdFz (const int dir, const Array< OneD, Array< OneD, NekDouble >> &Fwd, const Array< OneD, Array< OneD, NekDouble >> &Bwd, const Array< OneD, const NekDouble > &imFwd, const Array< OneD, const NekDouble > &imBwd, Array< OneD, NekDouble > &outarrayFwd, Array< OneD, NekDouble > &outarrayBwd)

SOLVER_UTILS_EXPORT void	ComputeNtimestimesdF12 (const Array< OneD, Array< OneD, NekDouble >> &Fwd, const Array< OneD, Array< OneD, NekDouble >> &Bwd, const Array< OneD, const NekDouble > &im1Fwd, const Array< OneD, const NekDouble > &im1Bwd, const Array< OneD, const NekDouble > &im2Fwd, const Array< OneD, const NekDouble > &im2Bwd, Array< OneD, NekDouble > &outarrayFwd, Array< OneD, NekDouble > &outarrayBwd)

SOLVER_UTILS_EXPORT void	CartesianToSpherical (const NekDouble x0j, const NekDouble x1j, const NekDouble x2j, NekDouble &sin_varphi, NekDouble &cos_varphi, NekDouble &sin_theta, NekDouble &cos_theta)

SOLVER_UTILS_EXPORT void	ComputeZimYim (Array< OneD, Array< OneD, NekDouble >> &epsvec, Array< OneD, Array< OneD, NekDouble >> &muvec)

SOLVER_UTILS_EXPORT void	AdddedtMaxwell (const Array< OneD, const Array< OneD, NekDouble >> &physarray, Array< OneD, Array< OneD, NekDouble >> &outarray)

SOLVER_UTILS_EXPORT void	GetMaxwellFluxVector (const int var, const Array< OneD, const Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &flux)

SOLVER_UTILS_EXPORT void	GetMaxwellFlux1D (const int var, const Array< OneD, const Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &flux)

SOLVER_UTILS_EXPORT void	GetMaxwellFlux2D (const int var, const Array< OneD, const Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &flux)

SOLVER_UTILS_EXPORT void	LaxFriedrichMaxwellFlux1D (Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &numfluxFwd, Array< OneD, Array< OneD, NekDouble >> &numfluxBwd)

SOLVER_UTILS_EXPORT void	UpwindMaxwellFlux1D (Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &numfluxFwd, Array< OneD, Array< OneD, NekDouble >> &numfluxBwd)

SOLVER_UTILS_EXPORT void	AverageMaxwellFlux1D (Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &numfluxFwd, Array< OneD, Array< OneD, NekDouble >> &numfluxBwd)

SOLVER_UTILS_EXPORT void	NumericalMaxwellFlux (Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &numfluxFwd, Array< OneD, Array< OneD, NekDouble >> &numfluxBwd, const NekDouble time=0.0)

SOLVER_UTILS_EXPORT void	NumericalMaxwellFluxTM (Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &numfluxFwd, Array< OneD, Array< OneD, NekDouble >> &numfluxBwd, const NekDouble time)

SOLVER_UTILS_EXPORT void	NumericalMaxwellFluxTE (Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &numfluxFwd, Array< OneD, Array< OneD, NekDouble >> &numfluxBwd, const NekDouble time)

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	GetIncidentField (const int var, const NekDouble time)

SOLVER_UTILS_EXPORT void	Computedemdxicdote ()

SOLVER_UTILS_EXPORT NekDouble	AvgInt (const Array< OneD, const NekDouble > &inarray)

SOLVER_UTILS_EXPORT NekDouble	AvgAbsInt (const Array< OneD, const NekDouble > &inarray)

SOLVER_UTILS_EXPORT NekDouble	AbsIntegral (const Array< OneD, const NekDouble > &inarray)

SOLVER_UTILS_EXPORT NekDouble	RootMeanSquare (const Array< OneD, const NekDouble > &inarray)

SOLVER_UTILS_EXPORT NekDouble	VectorAvgMagnitude (const Array< OneD, const Array< OneD, NekDouble >> &inarray)

SOLVER_UTILS_EXPORT void	GramSchumitz (const Array< OneD, const Array< OneD, NekDouble >> &v1, const Array< OneD, const Array< OneD, NekDouble >> &v2, Array< OneD, Array< OneD, NekDouble >> &outarray, bool KeepTheMagnitude=true)

SOLVER_UTILS_EXPORT void	BubbleSort (Array< OneD, NekDouble > &refarray, Array< OneD, NekDouble > &sortarray)

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

SOLVER_UTILS_EXPORT NekDouble	MaxTimeStepEstimator ()
	Get the maximum timestep estimator for cfl control. More...

virtual SOLVER_UTILS_EXPORT void	v_DoInitialise () override
	Sets up initial conditions. More...

virtual SOLVER_UTILS_EXPORT NekDouble	v_GetTimeStep (const Array< OneD, const Array< OneD, NekDouble >> &inarray)
	Return the timestep to be used for the next step in the time-marching loop. More...

virtual SOLVER_UTILS_EXPORT bool	v_PreIntegrate (int step)

virtual SOLVER_UTILS_EXPORT bool	v_RequireFwdTrans ()

virtual SOLVER_UTILS_EXPORT void	v_SteadyStateResidual (int step, Array< OneD, NekDouble > &L2)

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

SOLVER_UTILS_EXPORT void	SVVVarDiffCoeff (const Array< OneD, Array< OneD, NekDouble >> vel, StdRegions::VarCoeffMap &varCoeffMap)
	Evaluate the SVV diffusion coefficient according to Moura's paper where it should proportional to h time velocity. More...

virtual SOLVER_UTILS_EXPORT bool	v_UpdateTimeStepCheck ()

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. More...

Protected Member Functions inherited from Nektar::SolverUtils::EquationSystem
SOLVER_UTILS_EXPORT	EquationSystem (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Initialises EquationSystem class members. More...

virtual SOLVER_UTILS_EXPORT NekDouble	v_LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Virtual function for the L_inf error computation between fields and a given exact solution. More...

virtual SOLVER_UTILS_EXPORT NekDouble	v_L2Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray, bool Normalised=false)
	Virtual function for the L_2 error computation between fields and a given exact solution. More...

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

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

virtual SOLVER_UTILS_EXPORT void	v_Output (void)

virtual SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	v_GetPressure (void)

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

Protected Member Functions inherited from Nektar::SolverUtils::AdvectionSystem
virtual SOLVER_UTILS_EXPORT bool	v_PostIntegrate (int step) override

virtual SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	v_GetMaxStdVelocity (const NekDouble SpeedSoundFactor=1.0)

Protected Attributes
SolverUtils::RiemannSolverSharedPtr	m_riemannSolver

NekDouble	m_advx

NekDouble	m_advy

NekDouble	m_advz

NekDouble	m_waveFreq

NekDouble	m_RotAngle

NekDouble	m_Mass0

int	m_VelProjection

Array< OneD, Array< OneD, NekDouble > >	m_velocity
	Advection velocity. More...

Array< OneD, NekDouble >	m_traceVn

Array< OneD, Array< OneD, NekDouble > >	m_veldotMF

Array< OneD, NekDouble >	m_vellc

int	m_planeNumber

Protected Attributes inherited from Nektar::SolverUtils::MMFSystem
NekDouble	m_alpha

NekDouble	m_Incfreq

int	m_SmoothFactor

NekDouble	m_SFinit

Array< OneD, Array< OneD, NekDouble > >	m_movingframes

Array< OneD, Array< OneD, NekDouble > >	m_surfaceNormal

Array< OneD, Array< OneD, NekDouble > >	m_ncdotMFFwd

Array< OneD, Array< OneD, NekDouble > >	m_ncdotMFBwd

Array< OneD, Array< OneD, NekDouble > >	m_nperpcdotMFFwd

Array< OneD, Array< OneD, NekDouble > >	m_nperpcdotMFBwd

Array< OneD, Array< OneD, NekDouble > >	m_DivMF

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_CurlMF

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_MFtraceFwd

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_MFtraceBwd

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_ntimesMFFwd

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_ntimesMFBwd

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_ntimes_ntimesMFFwd

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_ntimes_ntimesMFBwd

Array< OneD, Array< OneD, NekDouble > >	m_ZimFwd

Array< OneD, Array< OneD, NekDouble > >	m_ZimBwd

Array< OneD, Array< OneD, NekDouble > >	m_YimFwd

Array< OneD, Array< OneD, NekDouble > >	m_YimBwd

Array< OneD, Array< OneD, NekDouble > >	m_epsvec

Array< OneD, Array< OneD, NekDouble > >	m_muvec

Array< OneD, Array< OneD, NekDouble > >	m_negepsvecminus1

Array< OneD, Array< OneD, NekDouble > >	m_negmuvecminus1

Array< OneD, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > >	m_dedxi_cdot_e

SpatialDomains::GeomMMF	m_MMFdir

Array< OneD, NekDouble >	m_MFlength

Protected Attributes inherited from Nektar::SolverUtils::UnsteadySystem
int	m_abortSteps
	Number of steps between checks for abort conditions. More...

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

int	m_nanSteps

LibUtilities::TimeIntegrationSchemeSharedPtr	m_intScheme
	Wrapper to the time integration scheme. More...

LibUtilities::TimeIntegrationSchemeOperators	m_ode
	The time integration scheme operators to use. More...

NekDouble	m_epsilon

bool	m_explicitDiffusion
	Indicates if explicit or implicit treatment of diffusion is used. More...

bool	m_explicitAdvection
	Indicates if explicit or implicit treatment of advection is used. More...

bool	m_explicitReaction
	Indicates if explicit or implicit treatment of reaction is used. More...

bool	m_homoInitialFwd
	Flag to determine if simulation should start in homogeneous forward transformed state. More...

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

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

NekDouble	m_steadyStateRes = 1.0

NekDouble	m_steadyStateRes0 = 1.0

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

std::ofstream	m_errFile

std::vector< int >	m_intVariables

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

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

NekDouble	m_TimeIntegLambda = 0.0
	coefff of spacial derivatives(rhs or m_F in GLM) in calculating the residual of the whole equation(used in unsteady time integrations) More...

bool	m_flagImplicitItsStatistics

bool	m_flagImplicitSolver = false

Array< OneD, NekDouble >	m_magnitdEstimat
	estimate the magnitude of each conserved varibles More...

Array< OneD, NekDouble >	m_locTimeStep
	local time step(notice only for jfnk other see m_cflSafetyFactor) More...

NekDouble	m_inArrayNorm = -1.0

int	m_TotLinItePerStep = 0

int	m_StagesPerStep = 1

bool	m_flagUpdatePreconMat

int	m_maxLinItePerNewton

int	m_TotNewtonIts = 0

int	m_TotLinIts = 0

int	m_TotImpStages = 0

bool	m_CalcPhysicalAV = true
	flag to update artificial viscosity More...

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

bool	m_verbose

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

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

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

Array< OneD, MultiRegions::ExpListSharedPtr >	m_fields
	Array holding all dependent variables. More...

SpatialDomains::BoundaryConditionsSharedPtr	m_boundaryConditions
	Pointer to boundary conditions object. More...

SpatialDomains::MeshGraphSharedPtr	m_graph
	Pointer to graph defining mesh. More...

std::string	m_sessionName
	Name of the session. More...

NekDouble	m_time
	Current time of simulation. More...

int	m_initialStep
	Number of the step where the simulation should begin. More...

NekDouble	m_fintime
	Finish time of the simulation. More...

NekDouble	m_timestep
	Time step size. More...

NekDouble	m_timestepMax = -1.0
	Time step size. More...

NekDouble	m_lambda
	Lambda constant in real system if one required. More...

NekDouble	m_checktime
	Time between checkpoints. More...

NekDouble	m_lastCheckTime

NekDouble	m_TimeIncrementFactor

int	m_nchk
	Number of checkpoints written so far. More...

int	m_steps
	Number of steps to take. More...

int	m_checksteps
	Number of steps between checkpoints. More...

int	m_infosteps
	Number of time steps between outputting status information. More...

int	m_pararealIter
	Number of parareal time iteration. More...

int	m_spacedim
	Spatial dimension (>= expansion dim). More...

int	m_expdim
	Expansion dimension. More...

bool	m_singleMode
	Flag to determine if single homogeneous mode is used. More...

bool	m_halfMode
	Flag to determine if half homogeneous mode is used. More...

bool	m_multipleModes
	Flag to determine if use multiple homogenenous modes are used. More...

bool	m_useFFT
	Flag to determine if FFT is used for homogeneous transform. More...

bool	m_useInitialCondition
	Flag to determine if IC are used. More...

bool	m_homogen_dealiasing
	Flag to determine if dealiasing is used for homogeneous simulations. More...

bool	m_specHP_dealiasing
	Flag to determine if dealisising is usde for the Spectral/hp element discretisation. More...

enum MultiRegions::ProjectionType	m_projectionType
	Type of projection; e.g continuous or discontinuous. More...

Array< OneD, Array< OneD, NekDouble > >	m_traceNormals
	Array holding trace normals for DG simulations in the forwards direction. More...

Array< OneD, bool >	m_checkIfSystemSingular
	Flag to indicate if the fields should be checked for singularity. More...

LibUtilities::FieldMetaDataMap	m_fieldMetaDataMap
	Map to identify relevant solver info to dump in output fields. More...

Array< OneD, NekDouble >	m_movingFrameVelsxyz
	Moving frame of reference velocities. More...

Array< OneD, NekDouble >	m_movingFrameTheta
	Moving frame of reference angles with respect to the. More...

boost::numeric::ublas::matrix< NekDouble >	m_movingFrameProjMat
	Projection matrix for transformation between inertial and moving. More...

int	m_NumQuadPointsError
	Number of Quadrature points used to work out the error. More...

enum HomogeneousType	m_HomogeneousType

NekDouble	m_LhomX
	physical length in X direction (if homogeneous) More...

NekDouble	m_LhomY
	physical length in Y direction (if homogeneous) More...

NekDouble	m_LhomZ
	physical length in Z direction (if homogeneous) More...

int	m_npointsX
	number of points in X direction (if homogeneous) More...

int	m_npointsY
	number of points in Y direction (if homogeneous) More...

int	m_npointsZ
	number of points in Z direction (if homogeneous) More...

int	m_HomoDirec
	number of homogenous directions More...

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

Friends
class	MemoryManager< MMFAdvection >

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

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

Detailed Description

Definition at line 61 of file MMFAdvection.h.

Constructor & Destructor Documentation

◆ ~MMFAdvection()

Nektar::MMFAdvection::~MMFAdvection ( )

virtual

Destructor.

Unsteady linear advection equation destructor.

Definition at line 202 of file MMFAdvection.cpp.

203 {

204 }

◆ MMFAdvection()

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

protected

Session reader.

Definition at line 51 of file MMFAdvection.cpp.

     : UnsteadySystem(pSession, pGraph), MMFSystem(pSession, pGraph),
       AdvectionSystem(pSession, pGraph)
 {
     m_planeNumber = 0;
 }

References m_planeNumber.

Member Function Documentation

◆ AdvectionBellPlane()

void Nektar::MMFAdvection::AdvectionBellPlane ( Array< OneD, NekDouble > & outfield )

protected

Definition at line 1090 of file MMFAdvection.cpp.

 {
     int nq = m_fields[0]->GetNpoints();
  
     NekDouble dist, m_radius_limit;
  
     Array<OneD, NekDouble> x(nq);
     Array<OneD, NekDouble> y(nq);
     Array<OneD, NekDouble> z(nq);
  
     m_fields[0]->GetCoords(x, y, z);
  
     // Sets of parameters
     m_radius_limit = 0.5;
  
     NekDouble x0j, x1j;
     outfield = Array<OneD, NekDouble>(nq, 0.0);
     for (int j = 0; j < nq; ++j)
     {
         x0j = x[j];
         x1j = y[j];
  
         dist = sqrt(x0j * x0j + x1j * x1j);
  
         if (dist < m_radius_limit)
         {
             outfield[j] = 0.5 * (1.0 + cos(m_pi * dist / m_radius_limit));
         }
         else
         {
             outfield[j] = 0.0;
         }
     }
 }

References Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::MMFSystem::m_pi, and tinysimd::sqrt().

Referenced by v_EvaluateExactSolution(), and v_SetInitialConditions().

◆ AdvectionBellSphere()

void Nektar::MMFAdvection::AdvectionBellSphere ( Array< OneD, NekDouble > & outfield )

protected

Definition at line 1125 of file MMFAdvection.cpp.

 {
     int nq = m_fields[0]->GetNpoints();
  
     NekDouble dist, radius, cosdiff, sin_theta, cos_theta, sin_varphi,
         cos_varphi;
     NekDouble m_theta_c, m_varphi_c, m_radius_limit, m_c0;
  
     Array<OneD, NekDouble> x(nq);
     Array<OneD, NekDouble> y(nq);
     Array<OneD, NekDouble> z(nq);
  
     m_fields[0]->GetCoords(x, y, z);
  
     // Sets of parameters
     m_theta_c      = 0.0;
     m_varphi_c     = 3.0 * m_pi / 2.0;
     m_radius_limit = 7.0 * m_pi / 64.0;
     m_c0           = 0.0;
  
     NekDouble x0j, x1j, x2j;
     outfield = Array<OneD, NekDouble>(nq, 0.0);
     for (int j = 0; j < nq; ++j)
     {
         x0j = x[j];
         x1j = y[j];
         x2j = z[j];
  
         radius = sqrt(x0j * x0j + x1j * x1j + x2j * x2j);
  
         sin_varphi = x1j / sqrt(x0j * x0j + x1j * x1j);
         cos_varphi = x0j / sqrt(x0j * x0j + x1j * x1j);
  
         sin_theta = x2j / radius;
         cos_theta = sqrt(x0j * x0j + x1j * x1j) / radius;
  
         cosdiff = cos_varphi * cos(m_varphi_c) + sin_varphi * sin(m_varphi_c);
         dist    = radius * acos(sin(m_theta_c) * sin_theta +
                              cos(m_theta_c) * cos_theta * cosdiff);
  
         if (dist < m_radius_limit)
         {
             outfield[j] =
                 0.5 * (1.0 + cos(m_pi * dist / m_radius_limit)) + m_c0;
         }
         else
         {
             outfield[j] = m_c0;
         }
     }
 }

References Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::MMFSystem::m_pi, and tinysimd::sqrt().

Referenced by v_EvaluateExactSolution(), and v_SetInitialConditions().

◆ ComputeCirculatingArclength()

NekDouble Nektar::MMFAdvection::ComputeCirculatingArclength	(	const NekDouble	zlevel,
		const NekDouble	Rhs
	)

protected

Definition at line 865 of file MMFAdvection.cpp.

 {
  
     NekDouble Tol = 0.0001, Maxiter = 1000, N = 100;
     NekDouble newy, F = 0.0, dF = 1.0, y0, tmp;
  
     Array<OneD, NekDouble> xp(N + 1);
     Array<OneD, NekDouble> yp(N + 1);
  
     NekDouble intval = 0.0;
     switch (m_surfaceType)
     {
         case SolverUtils::eSphere:
         case SolverUtils::eTRSphere:
         {
             intval = sqrt(Rhs - zlevel * zlevel);
         }
         break;
  
         case SolverUtils::eIrregular:
         {
             intval = sqrt(0.5 * (Rhs - zlevel * zlevel * zlevel * zlevel -
                                  zlevel * zlevel));
         }
         break;
  
         case SolverUtils::eNonconvex:
         {
             tmp = 0.5 *
                   (Rhs - zlevel * zlevel * zlevel * zlevel - zlevel * zlevel);
             intval = sqrt(0.5 * (1.0 + sqrt(1.0 + 4.0 * tmp)));
         }
         break;
  
         default:
             break;
     }
  
     switch (m_surfaceType)
     {
         // Find the half of all the xp and yp on zlevel ....
         case SolverUtils::eSphere:
         case SolverUtils::eTRSphere:
         case SolverUtils::eIrregular:
         {
             for (int j = 0; j < N + 1; ++j)
             {
                 xp[j] = j * 2.0 * intval / N - intval;
  
                 y0 = 1.0;
                 for (int i = 0; i < Maxiter; ++i)
                 {
                     switch (m_surfaceType)
                     {
                         // Find the half of all the xp and yp on zlevel ....
                         case SolverUtils::eSphere:
                         case SolverUtils::eTRSphere:
                         {
                             F = xp[j] * xp[j] + y0 * y0 + zlevel * zlevel - Rhs;
                             dF = 2.0 * y0;
                         }
                         break;
  
                         case SolverUtils::eIrregular:
                         {
                             F = 2.0 * xp[j] * xp[j] + y0 * y0 * y0 * y0 +
                                 y0 * y0 + zlevel * zlevel * zlevel * zlevel +
                                 zlevel * zlevel - Rhs;
                             dF = 4.0 * y0 * y0 * y0 + 2.0 * y0;
                         }
                         break;
  
                         default:
                             break;
                     }
  
                     newy = y0 - F / dF;
  
                     if (fabs(F / dF) < Tol)
                     {
                         yp[j] = newy;
                         break;
                     }
  
                     else
                     {
                         y0 = newy;
                     }
  
                     ASSERTL0(i < Maxiter,
                              "Advection Velocity convergence fails");
  
                 } // i-loop
             }
         }
         break;
  
         case SolverUtils::eNonconvex:
         {
             for (int j = 0; j < N + 1; ++j)
             {
                 xp[j] = j * 2.0 * intval / N - intval;
                 tmp   = 0.5 * Rhs -
                       0.5 * (zlevel * zlevel * zlevel * zlevel +
                              zlevel * zlevel) -
                       (xp[j] * xp[j] * xp[j] * xp[j] - xp[j] * xp[j]);
                 if (tmp < 0)
                 {
                     tmp = -1.0 * tmp;
                 }
                 yp[j] = sqrt(tmp);
             } // j-loop
         }
         break;
  
         default:
             break;
  
     } // switch-loop
  
     NekDouble pi        = 3.14159265358979323846;
     NekDouble arclength = 0.0;
     for (int j = 0; j < N; ++j)
     {
         arclength =
             arclength + sqrt((yp[j + 1] - yp[j]) * (yp[j + 1] - yp[j]) +
                              (xp[j + 1] - xp[j]) * (xp[j + 1] - xp[j])) /
                             pi;
     }
  
     return arclength;
 }

References ASSERTL0, Nektar::SolverUtils::eIrregular, Nektar::SolverUtils::eNonconvex, Nektar::SolverUtils::eSphere, Nektar::SolverUtils::eTRSphere, Nektar::SolverUtils::MMFSystem::m_surfaceType, and tinysimd::sqrt().

◆ ComputeNablaCdotVelocity()

void Nektar::MMFAdvection::ComputeNablaCdotVelocity ( Array< OneD, NekDouble > & vellc )

protected

Definition at line 1222 of file MMFAdvection.cpp.

 {
     int nq = m_fields[0]->GetNpoints();
  
     Array<OneD, NekDouble> velcoeff(nq, 0.0);
  
     Array<OneD, NekDouble> Dtmp0(nq);
     Array<OneD, NekDouble> Dtmp1(nq);
     Array<OneD, NekDouble> Dtmp2(nq);
     Array<OneD, NekDouble> Drv(nq);
  
     vellc = Array<OneD, NekDouble>(nq, 0.0);
  
     // m_vellc = \nabla m_vel \cdot tan_i
     Array<OneD, NekDouble> tmp(nq);
     Array<OneD, NekDouble> vessel(nq);
  
     for (int j = 0; j < m_shapedim; ++j)
     {
         Vmath::Zero(nq, velcoeff, 1);
         for (int k = 0; k < m_spacedim; ++k)
         {
             // a_j = tan_j cdot m_vel
             Vmath::Vvtvp(nq, &m_movingframes[j][k * nq], 1, &m_velocity[k][0],
                          1, &velcoeff[0], 1, &velcoeff[0], 1);
         }
  
         // d a_j / d x^k
         m_fields[0]->PhysDeriv(velcoeff, Dtmp0, Dtmp1, Dtmp2);
  
         for (int k = 0; k < m_spacedim; ++k)
         {
             // tan_j^k ( d a_j / d x^k )
             switch (k)
             {
                 case (0):
                 {
                     Vmath::Vvtvp(nq, &Dtmp0[0], 1, &m_movingframes[j][k * nq],
                                  1, &vellc[0], 1, &vellc[0], 1);
                 }
                 break;
  
                 case (1):
                 {
                     Vmath::Vvtvp(nq, &Dtmp1[0], 1, &m_movingframes[j][k * nq],
                                  1, &vellc[0], 1, &vellc[0], 1);
                 }
                 break;
  
                 case (2):
                 {
                     Vmath::Vvtvp(nq, &Dtmp2[0], 1, &m_movingframes[j][k * nq],
                                  1, &vellc[0], 1, &vellc[0], 1);
                 }
                 break;
             }
         }
     }
 }

References Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::MMFSystem::m_movingframes, Nektar::SolverUtils::MMFSystem::m_shapedim, Nektar::SolverUtils::EquationSystem::m_spacedim, m_velocity, Vmath::Vvtvp(), and Vmath::Zero().

Referenced by v_InitObject().

◆ ComputeveldotMF()

void Nektar::MMFAdvection::ComputeveldotMF ( Array< OneD, Array< OneD, NekDouble >> & veldotMF )

protected

Definition at line 1282 of file MMFAdvection.cpp.

 {
     int nq = m_fields[0]->GetNpoints();
  
     veldotMF = Array<OneD, Array<OneD, NekDouble>>(m_shapedim);
  
     Array<OneD, NekDouble> magMF(nq);
     for (int j = 0; j < m_shapedim; ++j)
     {
         veldotMF[j] = Array<OneD, NekDouble>(nq, 0.0);
  
         for (int k = 0; k < m_spacedim; ++k)
         {
             Vmath::Vvtvp(nq, &m_movingframes[j][k * nq], 1, &m_velocity[k][0],
                          1, &veldotMF[j][0], 1, &veldotMF[j][0], 1);
         }
     }
 }

References Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::MMFSystem::m_movingframes, Nektar::SolverUtils::MMFSystem::m_shapedim, Nektar::SolverUtils::EquationSystem::m_spacedim, m_velocity, and Vmath::Vvtvp().

Referenced by v_InitObject().

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 68 of file MMFAdvection.h.

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

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

◆ DoOdeProjection()

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

protected

Compute the projection.

Compute the projection for the linear advection equation.

Parameters

inarray	Given fields.
outarray	Calculated solution.
time	Time.

Definition at line 462 of file MMFAdvection.cpp.

 {
     // Counter variable
     int i;
  
     // Number of fields (variables of the problem)
     int nVariables = inarray.size();
  
     // Set the boundary conditions
     SetBoundaryConditions(time);
  
     // Switch on the projection type (Discontinuous or Continuous)
     switch (m_projectionType)
     {
         // Discontinuous projection
         case MultiRegions::eDiscontinuous:
         {
             // Number of quadrature points
             int nQuadraturePts = GetNpoints();
  
             // Just copy over array
             for (i = 0; i < nVariables; ++i)
             {
                 Vmath::Vcopy(nQuadraturePts, inarray[i], 1, outarray[i], 1);
             }
             break;
         }
  
         // Continuous projection
         case MultiRegions::eGalerkin:
         case MultiRegions::eMixed_CG_Discontinuous:
         {
             Array<OneD, NekDouble> coeffs(m_fields[0]->GetNcoeffs(), 0.0);
             for (i = 0; i < nVariables; ++i)
             {
                 m_fields[i]->FwdTrans(inarray[i], coeffs);
                 m_fields[i]->BwdTrans(coeffs, outarray[i]);
             }
             break;
         }
  
         default:
             ASSERTL0(false, "Unknown projection scheme");
             break;
     }
 }

References ASSERTL0, Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::MultiRegions::eMixed_CG_Discontinuous, Nektar::SolverUtils::EquationSystem::GetNcoeffs(), Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::SolverUtils::EquationSystem::SetBoundaryConditions(), and Vmath::Vcopy().

Referenced by v_InitObject().

◆ DoOdeRhs()

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

protected

Compute the RHS.

Compute the right-hand side for the linear advection equation.

Parameters

inarray	Given fields.
outarray	Calculated solution.
time	Time.

Definition at line 394 of file MMFAdvection.cpp.

 {
     boost::ignore_unused(time);
  
     int i;
     int nvariables = inarray.size();
     int npoints    = GetNpoints();
  
     switch (m_projectionType)
     {
         case MultiRegions::eDiscontinuous:
         {
             int ncoeffs = inarray[0].size();
  
             if (m_spacedim == 3)
             {
                 Array<OneD, Array<OneD, NekDouble>> WeakAdv(nvariables);
  
                 WeakAdv[0] = Array<OneD, NekDouble>(ncoeffs * nvariables);
                 for (i = 1; i < nvariables; ++i)
                 {
                     WeakAdv[i] = WeakAdv[i - 1] + ncoeffs;
                 }
  
                 // Compute \nabla \cdot \vel u according to MMF scheme
                 WeakDGDirectionalAdvection(inarray, WeakAdv);
  
                 for (i = 0; i < nvariables; ++i)
                 {
                     m_fields[i]->MultiplyByElmtInvMass(WeakAdv[i], WeakAdv[i]);
                     m_fields[i]->BwdTrans(WeakAdv[i], outarray[i]);
  
                     // Add  m_vellc * inarray[i] = \nabla v^m \cdot e^m to
                     // outarray[i]
                     // Vmath::Vvtvp(npoints, &m_vellc[0], 1, &inarray[i][0], 1,
                     // &outarray[i][0], 1, &outarray[i][0], 1);
                     Vmath::Neg(npoints, outarray[i], 1);
                 }
             }
             else
             {
                 m_advObject->Advect(2, m_fields, m_velocity, inarray, outarray,
                                     0.0);
  
                 for (i = 0; i < nvariables; ++i)
                 {
                     Vmath::Neg(npoints, outarray[i], 1);
                 }
             }
         }
         break;
  
         default:
         {
             ASSERTL0(false, "Unknown projection scheme");
         }
         break;
     }
 }

References ASSERTL0, Nektar::MultiRegions::eDiscontinuous, Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::AdvectionSystem::m_advObject, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::SolverUtils::EquationSystem::m_spacedim, m_velocity, Vmath::Neg(), and WeakDGDirectionalAdvection().

Referenced by v_InitObject().

◆ EvaluateAdvectionVelocity()

void Nektar::MMFAdvection::EvaluateAdvectionVelocity ( Array< OneD, Array< OneD, NekDouble >> & velocity )

protected

Definition at line 608 of file MMFAdvection.cpp.

 {
     int nq = m_fields[0]->GetNpoints();
  
     NekDouble vel_phi, vel_theta, sin_varphi, cos_varphi, sin_theta, cos_theta;
     NekDouble x0j, x1j, x2j;
  
     Array<OneD, NekDouble> x0(nq);
     Array<OneD, NekDouble> x1(nq);
     Array<OneD, NekDouble> x2(nq);
  
     m_fields[0]->GetCoords(x0, x1, x2);
  
     // theta = a*sin(z/r),  phi = a*tan(y/x);
     for (int j = 0; j < nq; j++)
     {
         x0j = x0[j];
         x1j = x1[j];
         x2j = x2[j];
  
         CartesianToSpherical(x0j, x1j, x2j, sin_varphi, cos_varphi, sin_theta,
                              cos_theta);
  
         vel_phi   = m_waveFreq * (cos_theta * cos(m_RotAngle) +
                                 sin_theta * cos_varphi * sin(m_RotAngle));
         vel_theta = -1.0 * m_waveFreq * sin_theta * sin(m_RotAngle);
  
         velocity[0][j] =
             -1.0 * vel_phi * sin_varphi - vel_theta * sin_theta * cos_varphi;
         velocity[1][j] =
             vel_phi * cos_varphi - vel_theta * sin_theta * sin_varphi;
         velocity[2][j] = vel_theta * cos_theta;
     }
  
     // Project the veloicty on the tangent plane
  
     if (m_VelProjection)
     {
         // Check MovingFrames \cdot SurfaceNormals = 0
         Array<OneD, Array<OneD, NekDouble>> newvelocity(m_spacedim);
  
         Array<OneD, Array<OneD, NekDouble>> MF1(m_spacedim);
         Array<OneD, Array<OneD, NekDouble>> MF2(m_spacedim);
         Array<OneD, Array<OneD, NekDouble>> SN(m_spacedim);
  
         for (int k = 0; k < m_spacedim; ++k)
         {
             newvelocity[k] = Array<OneD, NekDouble>(nq);
             MF1[k]         = Array<OneD, NekDouble>(nq);
             MF2[k]         = Array<OneD, NekDouble>(nq);
             SN[k]          = Array<OneD, NekDouble>(nq);
  
             Vmath::Vcopy(nq, &m_movingframes[0][k * nq], 1, &MF1[k][0], 1);
             Vmath::Vcopy(nq, &m_movingframes[1][k * nq], 1, &MF2[k][0], 1);
         }
  
         VectorCrossProd(MF1, MF2, SN);
         GramSchumitz(SN, m_velocity, newvelocity, true);
  
         Array<OneD, NekDouble> tmp(nq, 0.0);
         Array<OneD, NekDouble> Projection(nq, 0.0);
  
         for (int k = 0; k < m_spacedim; ++k)
         {
             Vmath::Vsub(nq, &m_velocity[0][0], 1, &newvelocity[0][0], 1,
                         &tmp[0], 1);
             Vmath::Vmul(nq, &tmp[0], 1, &tmp[0], 1, &tmp[0], 1);
             Vmath::Vadd(nq, tmp, 1, Projection, 1, Projection, 1);
         }
  
         std::cout
             << "Velocity vector is projected onto the tangent plane: Diff = "
             << RootMeanSquare(Projection) << std::endl;
  
         for (int k = 0; k < m_spacedim; ++k)
         {
             Vmath::Vcopy(nq, &newvelocity[k][0], 1, &m_velocity[k][0], 1);
         }
     }
 }

References Nektar::SolverUtils::MMFSystem::CartesianToSpherical(), Nektar::SolverUtils::MMFSystem::GramSchumitz(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::MMFSystem::m_movingframes, m_RotAngle, Nektar::SolverUtils::EquationSystem::m_spacedim, m_velocity, m_VelProjection, m_waveFreq, Nektar::SolverUtils::MMFSystem::RootMeanSquare(), Vmath::Vadd(), Vmath::Vcopy(), Nektar::SolverUtils::MMFSystem::VectorCrossProd(), Vmath::Vmul(), and Vmath::Vsub().

Referenced by v_InitObject().

◆ GetFluxVector()

void Nektar::MMFAdvection::GetFluxVector	(	const Array< OneD, Array< OneD, NekDouble >> &	physfield,
		Array< OneD, Array< OneD, Array< OneD, NekDouble >>> &	flux
	)

protected

Evaluate the flux at each solution point.

Return the flux vector for the linear advection equation.

Parameters

i	Component of the flux vector to calculate.
physfield	Fields.
flux	Resulting flux.

Definition at line 518 of file MMFAdvection.cpp.

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

References ASSERTL1, m_velocity, and Vmath::Vmul().

Referenced by v_InitObject().

◆ GetFluxVectorDeAlias()

void Nektar::MMFAdvection::GetFluxVectorDeAlias	(	const Array< OneD, Array< OneD, NekDouble >> &	physfield,
		Array< OneD, Array< OneD, Array< OneD, NekDouble >>> &	flux
	)

protected

Evaluate the flux at each solution point using dealiasing.

◆ GetNormalVelocity()

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

protected

Get the normal velocity.

Get the normal velocity for the linear advection equation.

Definition at line 364 of file MMFAdvection.cpp.

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

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

Referenced by v_InitObject().

◆ Test2Dproblem()

void Nektar::MMFAdvection::Test2Dproblem	(	const NekDouble	time,
		Array< OneD, NekDouble > &	outfield
	)

protected

Definition at line 1177 of file MMFAdvection.cpp.

 {
     int nq = m_fields[0]->GetNpoints();
  
     Array<OneD, NekDouble> x0(nq);
     Array<OneD, NekDouble> x1(nq);
     Array<OneD, NekDouble> x2(nq);
  
     m_fields[0]->GetCoords(x0, x1, x2);
  
     Array<OneD, NekDouble> u(nq);
  
     for (int i = 0; i < nq; ++i)
     {
         u[i] = cos(m_pi * (x0[i] - m_advx * time)) *
                cos(m_pi * (x1[i] - m_advy * time));
     }
  
     outfield = u;
 }

References m_advx, m_advy, Nektar::SolverUtils::EquationSystem::m_fields, and Nektar::SolverUtils::MMFSystem::m_pi.

Referenced by v_EvaluateExactSolution(), and v_SetInitialConditions().

◆ Test3Dproblem()

void Nektar::MMFAdvection::Test3Dproblem	(	const NekDouble	time,
		Array< OneD, NekDouble > &	outfield
	)

protected

Definition at line 1199 of file MMFAdvection.cpp.

 {
     int nq = m_fields[0]->GetNpoints();
  
     Array<OneD, NekDouble> x0(nq);
     Array<OneD, NekDouble> x1(nq);
     Array<OneD, NekDouble> x2(nq);
  
     m_fields[0]->GetCoords(x0, x1, x2);
  
     Array<OneD, NekDouble> u(nq);
  
     for (int i = 0; i < nq; ++i)
     {
         u[i] = cos(m_pi * (x0[i] - m_advx * time)) *
                cos(m_pi * (x1[i] - m_advy * time)) *
                cos(m_pi * (x2[i] - m_advz * time));
     }
  
     outfield = u;
 }

References m_advx, m_advy, m_advz, Nektar::SolverUtils::EquationSystem::m_fields, and Nektar::SolverUtils::MMFSystem::m_pi.

Referenced by v_EvaluateExactSolution(), and v_SetInitialConditions().

◆ v_DoSolve()

void Nektar::MMFAdvection::v_DoSolve ( void )

overrideprotectedvirtual

Solves an unsteady problem.

Initialises the time integration scheme (as specified in the session file), and perform the time integration.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 206 of file MMFAdvection.cpp.

 {
     ASSERTL0(m_intScheme != 0, "No time integration scheme.");
  
     int i, nchk = 1;
     int nvariables = 0;
     int nfields    = m_fields.size();
     int nq         = m_fields[0]->GetNpoints();
  
     if (m_intVariables.empty())
     {
         for (i = 0; i < nfields; ++i)
         {
             m_intVariables.push_back(i);
         }
         nvariables = nfields;
     }
     else
     {
         nvariables = m_intVariables.size();
     }
  
     // Set up wrapper to fields data storage.
     Array<OneD, Array<OneD, NekDouble>> fields(nvariables);
     Array<OneD, Array<OneD, NekDouble>> tmp(nvariables);
  
     // Order storage to list time-integrated fields first.
     for (i = 0; i < nvariables; ++i)
     {
         fields[i] = m_fields[m_intVariables[i]]->GetPhys();
         m_fields[m_intVariables[i]]->SetPhysState(false);
     }
  
     // Initialise time integration scheme
     m_intScheme->InitializeScheme(m_timestep, fields, m_time, m_ode);
  
     // Check uniqueness of checkpoint output
     ASSERTL0((m_checktime == 0.0 && m_checksteps == 0) ||
                  (m_checktime > 0.0 && m_checksteps == 0) ||
                  (m_checktime == 0.0 && m_checksteps > 0),
              "Only one of IO_CheckTime and IO_CheckSteps "
              "should be set!");
  
     LibUtilities::Timer timer;
     bool doCheckTime  = false;
     int step          = 0;
     NekDouble intTime = 0.0;
     NekDouble cpuTime = 0.0;
     NekDouble elapsed = 0.0;
  
     int Ntot, indx;
     // Perform integration in time.
     Ntot = m_checksteps ? m_steps / m_checksteps + 1 : 0;
  
     Array<OneD, NekDouble> dMass(Ntot ? Ntot : 1);
  
     Array<OneD, NekDouble> zeta(nq);
     Array<OneD, Array<OneD, NekDouble>> fieldsprimitive(nvariables);
     for (int i = 0; i < nvariables; ++i)
     {
         fieldsprimitive[i] = Array<OneD, NekDouble>(nq);
     }
  
     while (step < m_steps || m_time < m_fintime - NekConstants::kNekZeroTol)
     {
         timer.Start();
         fields = m_intScheme->TimeIntegrate(step, m_timestep, m_ode);
         timer.Stop();
  
         m_time += m_timestep;
         elapsed = timer.TimePerTest(1);
         intTime += elapsed;
         cpuTime += elapsed;
  
         // Write out status information
         if (m_infosteps && !((step + 1) % m_infosteps) &&
             m_session->GetComm()->GetRank() == 0)
         {
             std::cout << "Steps: " << std::setw(8) << std::left << step + 1
                       << " "
                       << "Time: " << std::setw(12) << std::left << m_time;
  
             std::stringstream ss;
             ss << cpuTime << "s";
             std::cout << " CPU Time: " << std::setw(8) << std::left << ss.str()
                       << std::endl;
  
             // Masss = h^*
             indx = m_checksteps ? (step + 1) / m_checksteps : 0;
             dMass[indx] =
                 (m_fields[0]->Integral(fields[0]) - m_Mass0) / m_Mass0;
  
             std::cout << "dMass = " << std::setw(8) << std::left << dMass[indx]
                       << std::endl;
  
             cpuTime = 0.0;
         }
  
         // Transform data into coefficient space
         for (i = 0; i < nvariables; ++i)
         {
             m_fields[m_intVariables[i]]->SetPhys(fields[i]);
             m_fields[m_intVariables[i]]->FwdTransLocalElmt(
                 fields[i], m_fields[m_intVariables[i]]->UpdateCoeffs());
             m_fields[m_intVariables[i]]->SetPhysState(false);
         }
  
         // Write out checkpoint files
         if ((m_checksteps && step && !((step + 1) % m_checksteps)) ||
             doCheckTime)
         {
             Checkpoint_Output(nchk++);
             doCheckTime = false;
         }
  
         // Step advance
         ++step;
     }
  
     std::cout << "dMass = ";
     for (i = 0; i < Ntot; ++i)
     {
         std::cout << dMass[i] << " , ";
     }
     std::cout << std::endl << std::endl;
  
     // Print out summary statistics
     if (m_session->GetComm()->GetRank() == 0)
     {
         if (m_cflSafetyFactor > 0.0)
         {
             std::cout << "CFL safety factor : " << m_cflSafetyFactor
                       << std::endl
                       << "CFL time-step     : " << m_timestep << std::endl;
         }
  
         if (m_session->GetSolverInfo("Driver") != "SteadyState")
         {
             std::cout << "Time-integration  : " << intTime << "s" << std::endl;
         }
     }
  
     for (i = 0; i < nvariables; ++i)
     {
         m_fields[m_intVariables[i]]->SetPhys(fields[i]);
         m_fields[m_intVariables[i]]->SetPhysState(true);
     }
  
     for (i = 0; i < nvariables; ++i)
     {
         m_fields[i]->FwdTrans(m_fields[i]->GetPhys(),
                               m_fields[i]->UpdateCoeffs());
     }
 }

◆ v_EvaluateExactSolution()

void Nektar::MMFAdvection::v_EvaluateExactSolution	(	unsigned int	field,
		Array< OneD, NekDouble > &	outfield,
		const NekDouble	time
	)

overrideprotectedvirtual

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 1302 of file MMFAdvection.cpp.

 {
     boost::ignore_unused(field);
  
     switch (m_TestType)
     {
         case eAdvectionBell:
         {
             AdvectionBellSphere(outfield);
         }
         break;
  
         case eTestPlane:
         {
             Test2Dproblem(time, outfield);
         }
         break;
  
         case eTestPlaneMassConsv:
         {
             AdvectionBellPlane(outfield);
         }
         break;
  
         case eTestCube:
         {
             Test3Dproblem(time, outfield);
         }
         break;
  
         default:
             break;
     }
 }

References AdvectionBellPlane(), AdvectionBellSphere(), eAdvectionBell, Nektar::eTestCube, Nektar::eTestPlane, eTestPlaneMassConsv, m_TestType, Test2Dproblem(), and Test3Dproblem().

◆ v_GenerateSummary()

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

overrideprotectedvirtual

Print Summary.

Reimplemented from Nektar::SolverUtils::MMFSystem.

Definition at line 1339 of file MMFAdvection.cpp.

 {
     MMFSystem::v_GenerateSummary(s);
     SolverUtils::AddSummaryItem(s, "TestType", TestTypeMap[m_TestType]);
     SolverUtils::AddSummaryItem(s, "Rotation Angle", m_RotAngle);
 }

References Nektar::SolverUtils::AddSummaryItem(), m_RotAngle, m_TestType, Nektar::TestTypeMap, and Nektar::SolverUtils::MMFSystem::v_GenerateSummary().

◆ v_InitObject()

void Nektar::MMFAdvection::v_InitObject ( bool DeclareFields = true )

overrideprotectedvirtual

Initialise the object.

Initialisation object for the unsteady linear advection equation.

Reimplemented from Nektar::SolverUtils::AdvectionSystem.

Definition at line 62 of file MMFAdvection.cpp.

 {
     // Call to the initialisation object
     UnsteadySystem::v_InitObject(DeclareFields);
  
     int nq       = m_fields[0]->GetNpoints();
     int shapedim = m_fields[0]->GetShapeDimension();
     Array<OneD, Array<OneD, NekDouble>> Anisotropy(shapedim);
     for (int j = 0; j < shapedim; ++j)
     {
         Anisotropy[j] = Array<OneD, NekDouble>(nq, 1.0);
     }
  
     MMFSystem::MMFInitObject(Anisotropy);
  
     // Define TestType
     ASSERTL0(m_session->DefinesSolverInfo("TESTTYPE"),
              "No TESTTYPE defined in session.");
     std::string TestTypeStr = m_session->GetSolverInfo("TESTTYPE");
     for (int i = 0; i < (int)SIZE_TestType; ++i)
     {
         if (boost::iequals(TestTypeMap[i], TestTypeStr))
         {
             m_TestType = (TestType)i;
             break;
         }
     }
  
     m_session->LoadParameter("Angular Frequency", m_waveFreq, m_pi);
     m_session->LoadParameter("Rotational Angle", m_RotAngle, 0.0);
     m_session->LoadParameter("Velocity Projection", m_VelProjection, 0);
  
     // Read the advection velocities from session file
     m_session->LoadParameter("advx", m_advx, 1.0);
     m_session->LoadParameter("advy", m_advy, 1.0);
     m_session->LoadParameter("advz", m_advz, 1.0);
  
     std::vector<std::string> vel;
     vel.push_back("Vx");
     vel.push_back("Vy");
     vel.push_back("Vz");
  
     // Resize the advection velocities vector to dimension of the problem
     vel.resize(m_spacedim);
  
     // Store in the global variable m_velocity the advection velocities
  
     m_velocity = Array<OneD, Array<OneD, NekDouble>>(m_spacedim);
     for (int k = 0; k < m_spacedim; ++k)
     {
         m_velocity[k] = Array<OneD, NekDouble>(nq);
     }
  
     switch (m_surfaceType)
     {
         case SolverUtils::eSphere:
         case SolverUtils::eTRSphere:
         case SolverUtils::eIrregular:
         case SolverUtils::eNonconvex:
         {
             // true = project velocity onto the tangent plane
             EvaluateAdvectionVelocity(m_velocity);
         }
         break;
  
         case SolverUtils::ePlane:
         case SolverUtils::eCube:
         {
             GetFunction("AdvectionVelocity")->Evaluate(vel, m_velocity);
         }
         break;
  
         default:
             break;
     }
  
     std::cout << "|Velocity vector| = ( " << RootMeanSquare(m_velocity[0])
               << " , " << RootMeanSquare(m_velocity[1]) << " , "
               << RootMeanSquare(m_velocity[2]) << " ) " << std::endl;
  
     // Define the normal velocity fields
     if (m_fields[0]->GetTrace())
     {
         m_traceVn = Array<OneD, NekDouble>(GetTraceNpoints());
     }
  
     std::string advName;
     std::string riemName;
     m_session->LoadSolverInfo("AdvectionType", advName, "WeakDG");
     m_advObject =
         SolverUtils::GetAdvectionFactory().CreateInstance(advName, advName);
     m_advObject->SetFluxVector(&MMFAdvection::GetFluxVector, this);
     m_session->LoadSolverInfo("UpwindType", riemName, "Upwind");
     m_riemannSolver = SolverUtils::GetRiemannSolverFactory().CreateInstance(
         riemName, m_session);
     m_riemannSolver->SetScalar("Vn", &MMFAdvection::GetNormalVelocity, this);
  
     m_advObject->SetRiemannSolver(m_riemannSolver);
     m_advObject->InitObject(m_session, m_fields);
  
     // Compute m_traceVn = n \cdot v
     GetNormalVelocity();
  
     // Compute m_vellc = nabal a^j \cdot m_vel
     ComputeNablaCdotVelocity(m_vellc);
     std::cout << "m_vellc is generated with mag = " << AvgInt(m_vellc)
               << std::endl;
  
     // Compute vel \cdot MF
     ComputeveldotMF(m_veldotMF);
  
     // Modify e^i as v^i e^i
     for (int j = 0; j < m_shapedim; j++)
     {
         for (int k = 0; k < m_spacedim; k++)
         {
             Vmath::Vmul(nq, &m_veldotMF[j][0], 1, &m_movingframes[j][k * nq], 1,
                         &m_movingframes[j][k * nq], 1);
         }
     }
  
     // Reflect it into m_ncdotMFFwd and Bwd
     ComputencdotMF();
  
     // If explicit it computes RHS and PROJECTION for the time integration
     if (m_explicitAdvection)
     {
         m_ode.DefineOdeRhs(&MMFAdvection::DoOdeRhs, this);
         m_ode.DefineProjection(&MMFAdvection::DoOdeProjection, this);
     }
     // Otherwise it gives an error (no implicit integration)
     else
     {
         ASSERTL0(false, "Implicit unsteady Advection not set up.");
     }
 }

◆ v_SetInitialConditions()

void Nektar::MMFAdvection::v_SetInitialConditions	(	const NekDouble	initialtime,
		bool	dumpInitialConditions,
		const int	domain
	)

overrideprotectedvirtual

Set the physical fields based on a restart file, or a function describing the initial condition given in the session.

Parameters

initialtime	Time at which to evaluate the function.
dumpInitialConditions	Write the initial condition to file?

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 999 of file MMFAdvection.cpp.

 {
     boost::ignore_unused(domain);
  
     int nq = m_fields[0]->GetNpoints();
  
     Array<OneD, NekDouble> u(nq);
  
     switch (m_TestType)
     {
         case eAdvectionBell:
         {
             AdvectionBellSphere(u);
             m_fields[0]->SetPhys(u);
  
             m_Mass0 = m_fields[0]->Integral(u);
  
             // forward transform to fill the modal coeffs
             for (int i = 0; i < m_fields.size(); ++i)
             {
                 m_fields[i]->SetPhysState(true);
                 m_fields[i]->FwdTrans(m_fields[i]->GetPhys(),
                                       m_fields[i]->UpdateCoeffs());
             }
         }
         break;
  
         case eTestPlane:
         {
             Test2Dproblem(initialtime, u);
             m_fields[0]->SetPhys(u);
  
             m_Mass0 = m_fields[0]->Integral(u);
  
             // forward transform to fill the modal coeffs
             for (int i = 0; i < m_fields.size(); ++i)
             {
                 m_fields[i]->SetPhysState(true);
                 m_fields[i]->FwdTrans(m_fields[i]->GetPhys(),
                                       m_fields[i]->UpdateCoeffs());
             }
         }
         break;
  
         case eTestPlaneMassConsv:
         {
             AdvectionBellPlane(u);
             m_fields[0]->SetPhys(u);
  
             m_Mass0 = m_fields[0]->Integral(u);
             std::cout << "m_Mass0 = " << m_Mass0 << std::endl;
  
             // forward transform to fill the modal coeffs
             for (int i = 0; i < m_fields.size(); ++i)
             {
                 m_fields[i]->SetPhysState(true);
                 m_fields[i]->FwdTrans(m_fields[i]->GetPhys(),
                                       m_fields[i]->UpdateCoeffs());
             }
         }
         break;
  
         case eTestCube:
         {
             Test3Dproblem(initialtime, u);
             m_fields[0]->SetPhys(u);
  
             // forward transform to fill the modal coeffs
             for (int i = 0; i < m_fields.size(); ++i)
             {
                 m_fields[i]->SetPhysState(true);
                 m_fields[i]->FwdTrans(m_fields[i]->GetPhys(),
                                       m_fields[i]->UpdateCoeffs());
             }
         }
         break;
  
         default:
             break;
     }
  
     if (dumpInitialConditions)
     {
         // dump initial conditions to file
         std::string outname = m_sessionName + "_initial.chk";
         WriteFld(outname);
     }
 }

References AdvectionBellPlane(), AdvectionBellSphere(), eAdvectionBell, Nektar::eTestCube, Nektar::eTestPlane, eTestPlaneMassConsv, Nektar::SolverUtils::EquationSystem::m_fields, m_Mass0, Nektar::SolverUtils::EquationSystem::m_sessionName, m_TestType, Test2Dproblem(), Test3Dproblem(), and Nektar::SolverUtils::EquationSystem::WriteFld().

◆ WeakDGDirectionalAdvection()

void Nektar::MMFAdvection::WeakDGDirectionalAdvection	(	const Array< OneD, Array< OneD, NekDouble >> &	InField,
		Array< OneD, Array< OneD, NekDouble >> &	OutField
	)

protected

Definition at line 537 of file MMFAdvection.cpp.

 {
     int i, j;
     int ncoeffs         = GetNcoeffs();
     int nTracePointsTot = GetTraceNpoints();
     int nvariables      = m_fields.size();
  
     Array<OneD, Array<OneD, NekDouble>> physfield(nvariables);
  
     // Get the variables in physical space
     // already in physical space
     for (i = 0; i < nvariables; ++i)
     {
         physfield[i] = InField[i];
     }
  
     Array<OneD, Array<OneD, NekDouble>> WeakDeriv(m_shapedim);
     for (i = 0; i < nvariables; ++i)
     {
         for (j = 0; j < m_shapedim; ++j)
         {
             WeakDeriv[j] = Array<OneD, NekDouble>(ncoeffs, 0.0);
  
             // Directional derivation with respect to the j'th moving frame
             // tmp[j] = \nabla \physfield[i] \cdot \mathbf{e}^j
             // Implemented at TriExp::v_IProductWRTDirectionalDerivBase_SumFa
             m_fields[0]->IProductWRTDirectionalDerivBase(
                 m_movingframes[j], physfield[i], WeakDeriv[j]);
         }
  
         // Get the numerical flux and add to the modal coeffs
         // if the NumericalFluxs function already includes the
         // normal in the output
  
         Array<OneD, NekDouble> Fwd(nTracePointsTot);
         Array<OneD, NekDouble> Bwd(nTracePointsTot);
  
         Array<OneD, NekDouble> flux(nTracePointsTot, 0.0);
         Array<OneD, NekDouble> fluxFwd(nTracePointsTot);
         Array<OneD, NekDouble> fluxBwd(nTracePointsTot);
  
         // Evaluate numerical flux in physical space which may in
         // general couple all component of vectors
         m_fields[i]->GetFwdBwdTracePhys(physfield[i], Fwd, Bwd);
  
         // evaulate upwinded m_fields[i]
         m_fields[i]->GetTrace()->Upwind(m_traceVn, Fwd, Bwd, flux);
  
         OutField[i] = Array<OneD, NekDouble>(ncoeffs, 0.0);
         for (j = 0; j < m_shapedim; ++j)
         {
             // calculate numflux = (n \cdot MF)*flux
             Vmath::Vmul(nTracePointsTot, &flux[0], 1, &m_ncdotMFFwd[j][0], 1,
                         &fluxFwd[0], 1);
             Vmath::Vmul(nTracePointsTot, &flux[0], 1, &m_ncdotMFBwd[j][0], 1,
                         &fluxBwd[0], 1);
             Vmath::Neg(ncoeffs, WeakDeriv[j], 1);
  
             // FwdBwdtegral because generallize (N \cdot MF)_{FWD} \neq -(N
             // \cdot MF)_{BWD}
             m_fields[i]->AddFwdBwdTraceIntegral(fluxFwd, fluxBwd, WeakDeriv[j]);
             m_fields[i]->SetPhysState(false);
  
             Vmath::Vadd(ncoeffs, &WeakDeriv[j][0], 1, &OutField[i][0], 1,
                         &OutField[i][0], 1);
         }
     }
 }

References Nektar::SolverUtils::EquationSystem::GetNcoeffs(), Nektar::SolverUtils::EquationSystem::GetTraceNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::MMFSystem::m_movingframes, Nektar::SolverUtils::MMFSystem::m_ncdotMFBwd, Nektar::SolverUtils::MMFSystem::m_ncdotMFFwd, Nektar::SolverUtils::MMFSystem::m_shapedim, m_traceVn, Vmath::Neg(), Vmath::Vadd(), and Vmath::Vmul().

Referenced by DoOdeRhs().

Friends And Related Function Documentation

◆ MemoryManager< MMFAdvection >

friend class MemoryManager< MMFAdvection >

friend

Definition at line 52 of file MMFAdvection.h.

Member Data Documentation

◆ className

std::string Nektar::MMFAdvection::className

static

Initial value:

=
    SolverUtils::GetEquationSystemFactory().RegisterCreatorFunction(
        "MMFAdvection", MMFAdvection::create, "MMFAdvection equation.")

Name of class.

Definition at line 78 of file MMFAdvection.h.

◆ m_advx

NekDouble Nektar::MMFAdvection::m_advx

protected

Definition at line 88 of file MMFAdvection.h.

Referenced by Test2Dproblem(), Test3Dproblem(), and v_InitObject().

◆ m_advy

NekDouble Nektar::MMFAdvection::m_advy

protected

Definition at line 88 of file MMFAdvection.h.

Referenced by Test2Dproblem(), Test3Dproblem(), and v_InitObject().

◆ m_advz

NekDouble Nektar::MMFAdvection::m_advz

protected

Definition at line 88 of file MMFAdvection.h.

Referenced by Test3Dproblem(), and v_InitObject().

◆ m_Mass0

NekDouble Nektar::MMFAdvection::m_Mass0

protected

Definition at line 91 of file MMFAdvection.h.

Referenced by v_DoSolve(), and v_SetInitialConditions().

◆ m_planeNumber

int Nektar::MMFAdvection::m_planeNumber

protected

Definition at line 103 of file MMFAdvection.h.

Referenced by MMFAdvection().

◆ m_riemannSolver

SolverUtils::RiemannSolverSharedPtr Nektar::MMFAdvection::m_riemannSolver

protected

Definition at line 86 of file MMFAdvection.h.

Referenced by v_InitObject().

◆ m_RotAngle

NekDouble Nektar::MMFAdvection::m_RotAngle

protected

Definition at line 89 of file MMFAdvection.h.

Referenced by EvaluateAdvectionVelocity(), v_GenerateSummary(), and v_InitObject().

◆ m_TestType

TestType Nektar::MMFAdvection::m_TestType

Definition at line 80 of file MMFAdvection.h.

Referenced by v_EvaluateExactSolution(), v_GenerateSummary(), v_InitObject(), and v_SetInitialConditions().

◆ m_traceVn

Array<OneD, NekDouble> Nektar::MMFAdvection::m_traceVn

protected

Definition at line 96 of file MMFAdvection.h.

Referenced by GetNormalVelocity(), v_InitObject(), and WeakDGDirectionalAdvection().

◆ m_veldotMF

Array<OneD, Array<OneD, NekDouble> > Nektar::MMFAdvection::m_veldotMF

protected

Definition at line 98 of file MMFAdvection.h.

Referenced by v_InitObject().

◆ m_vellc

Array<OneD, NekDouble> Nektar::MMFAdvection::m_vellc

protected

Definition at line 99 of file MMFAdvection.h.

Referenced by v_InitObject().

◆ m_velocity

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

protected

Advection velocity.

Definition at line 95 of file MMFAdvection.h.

Referenced by ComputeNablaCdotVelocity(), ComputeveldotMF(), DoOdeRhs(), EvaluateAdvectionVelocity(), GetFluxVector(), GetNormalVelocity(), and v_InitObject().

◆ m_VelProjection

int Nektar::MMFAdvection::m_VelProjection

protected

Definition at line 92 of file MMFAdvection.h.

Referenced by EvaluateAdvectionVelocity(), and v_InitObject().

◆ m_waveFreq

NekDouble Nektar::MMFAdvection::m_waveFreq

protected

Definition at line 89 of file MMFAdvection.h.

Referenced by EvaluateAdvectionVelocity(), and v_InitObject().

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Protected Member Functions

Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ~MMFAdvection()

◆ MMFAdvection()

Member Function Documentation

◆ AdvectionBellPlane()

◆ AdvectionBellSphere()

◆ ComputeCirculatingArclength()

◆ ComputeNablaCdotVelocity()

◆ ComputeveldotMF()

◆ create()

◆ DoOdeProjection()

◆ DoOdeRhs()

◆ EvaluateAdvectionVelocity()

◆ GetFluxVector()

◆ GetFluxVectorDeAlias()

◆ GetNormalVelocity()

◆ Test2Dproblem()

◆ Test3Dproblem()

◆ v_DoSolve()

◆ v_EvaluateExactSolution()

◆ v_GenerateSummary()

◆ v_InitObject()

◆ v_SetInitialConditions()

◆ WeakDGDirectionalAdvection()

Friends And Related Function Documentation

◆ MemoryManager< MMFAdvection >

Member Data Documentation

◆ className

◆ m_advx

◆ m_advy

◆ m_advz

◆ m_Mass0

◆ m_planeNumber

◆ m_riemannSolver

◆ m_RotAngle

◆ m_TestType

◆ m_traceVn

◆ m_veldotMF

◆ m_vellc

◆ m_velocity

◆ m_VelProjection

◆ m_waveFreq