#include <LEE.h>

Inheritance diagram for Nektar::LEE:

Public Member Functions
	~LEE () override
	Destructor. More...

Public Member Functions inherited from Nektar::AcousticSystem
	~AcousticSystem () override
	Destructor. More...

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

SOLVER_UTILS_EXPORT void	v_InitObject (bool DeclareField=true) override
	Initialisation object for EquationSystem. More...

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)

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

SOLVER_UTILS_EXPORT LibUtilities::TimeIntegrationSchemeOperators &	GetTimeIntegrationSchemeOperators ()
	Returns the time integration scheme operators. More...

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

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

SOLVER_UTILS_EXPORT void	DoInitialise (bool dumpInitialConditions=true)
	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 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 NekDouble	LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Linf error computation. 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	GetTime ()
	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 Array< OneD, NekDouble > &	UpdatePhysField (const int i)

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 void	SetIterationNumberPIT (int num)

SOLVER_UTILS_EXPORT void	SetWindowNumberPIT (int 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...

SOLVER_UTILS_EXPORT bool	NegatedOp ()
	Identify if operator is negated in DoSolve. More...

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

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

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

static std::string	cmdSetStartChkNum

Protected Member Functions
	LEE (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Initialises UnsteadySystem class members. More...

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

void	v_InitObject (bool DeclareFields=true) override
	Initialization object for the LEE class. More...

void	v_GetFluxVector (const Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &flux) override
	Return the flux vector for the LEE equations. More...

void	v_RiemannInvariantBC (int bcRegion, int cnt, Array< OneD, Array< OneD, NekDouble > > &Fwd, Array< OneD, Array< OneD, NekDouble > > &BfFwd, Array< OneD, Array< OneD, NekDouble > > &physarray) override
	Outflow characteristic boundary conditions for compressible flow problems. More...

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

void	v_InitObject (bool DeclareFields=true) override
	Initialization object for the AcousticSystem class. More...

void	DoOdeRhs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Compute the right-hand side. More...

void	DoOdeProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Compute the projection and call the method for imposing the boundary conditions in case of discontinuous projection. More...

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

virtual void	v_GetFluxVector (const Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &flux)=0

virtual void	v_RiemannInvariantBC (int bcRegion, int cnt, Array< OneD, Array< OneD, NekDouble > > &Fwd, Array< OneD, Array< OneD, NekDouble > > &BfFwd, Array< OneD, Array< OneD, NekDouble > > &physarray)=0

bool	v_PreIntegrate (int step) override
	v_PreIntegrate More...

void	v_Output () override

Array< OneD, NekDouble >	v_GetMaxStdVelocity (const NekDouble SpeedSoundFactor) override
	Compute the advection velocity in the standard space for each element of the expansion. More...

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

const Array< OneD, const Array< OneD, NekDouble > > &	GetNormals ()
	Get the normal vectors. More...

const Array< OneD, const Array< OneD, NekDouble > > &	GetVecLocs ()
	Get the locations of the components of the directed fields within the fields array. More...

const Array< OneD, const Array< OneD, NekDouble > > &	GetBasefieldFwdBwd ()
	Get the baseflow field. More...

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

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

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 void	v_InitObject (bool DeclareField=true) override
	Init object for UnsteadySystem class. More...

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

virtual SOLVER_UTILS_EXPORT void	v_PrintStatusInformation (const int step, const NekDouble cpuTime)
	Print Status Information. More...

virtual SOLVER_UTILS_EXPORT void	v_PrintSummaryStatistics (const NekDouble intTime)
	Print Summary Statistics. More...

SOLVER_UTILS_EXPORT void	v_DoInitialise (bool dumpInitialConditions=true) override
	Sets up initial conditions. More...

SOLVER_UTILS_EXPORT void	v_GenerateSummary (SummaryList &s) override
	Print a summary of time stepping parameters. 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_PostIntegrate (int step)

virtual SOLVER_UTILS_EXPORT bool	v_RequireFwdTrans ()

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. More...

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

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

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 void	v_InitObject (bool DeclareFeld=true)
	Initialisation object for EquationSystem. More...

virtual SOLVER_UTILS_EXPORT void	v_DoInitialise (bool dumpInitialConditions=true)
	Virtual function for initialisation implementation. More...

virtual SOLVER_UTILS_EXPORT void	v_DoSolve ()
	Virtual function for solve implementation. 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_GenerateSummary (SummaryList &l)
	Virtual function for generating summary information. More...

virtual SOLVER_UTILS_EXPORT void	v_SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)

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

virtual SOLVER_UTILS_EXPORT void	v_Output (void)

virtual SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	v_GetPressure (void)

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

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

Friends
class	MemoryManager< LEE >

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

Protected Attributes inherited from Nektar::AcousticSystem
int	m_ip
	indices of the fields More...

int	m_irho

int	m_iu

bool	m_conservative
	we are dealing with a conservative formualtion More...

SolverUtils::CouplingSharedPtr	m_coupling

SolverUtils::AdvectionSharedPtr	m_advection

std::vector< SolverUtils::ForcingSharedPtr >	m_forcing

SolverUtils::RiemannSolverSharedPtr	m_riemannSolver

Array< OneD, Array< OneD, NekDouble > >	m_bfFwdBwd

Array< OneD, Array< OneD, NekDouble > >	m_vecLocs

Array< OneD, Array< OneD, NekDouble > >	m_bf

std::vector< std::string >	m_bfNames

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

Protected Attributes inherited from Nektar::SolverUtils::UnsteadySystem
LibUtilities::TimeIntegrationSchemeSharedPtr	m_intScheme
	Wrapper to the time integration scheme. More...

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

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

std::vector< int >	m_intVariables

NekDouble	m_cflSafetyFactor
	CFL safety factor (comprise between 0 to 1). More...

NekDouble	m_CFLGrowth
	CFL growth rate. More...

NekDouble	m_CFLEnd
	Maximun cfl in cfl growth. More...

int	m_abortSteps
	Number of steps between checks for abort conditions. More...

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...

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

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

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

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

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

std::ofstream	m_errFile

NekDouble	m_epsilon
	Diffusion coefficient. 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_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_iterPIT = 0
	Number of parallel-in-time time iteration. More...

int	m_windowPIT = 0
	Index of windows for parallel-in-time 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_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 (u, v, w, omega_x, omega_y, omega_z, a_x, a_y, a_z, domega_x, domega_y, domega_z) More...

Array< OneD, NekDouble >	m_movingFrameData
	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...

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

static std::string	projectionTypeLookupIds []

Detailed Description

Definition at line 46 of file LEE.h.

Constructor & Destructor Documentation

◆ ~LEE()

Nektar::LEE::~LEE ( )

override

Destructor.

Destructor for LEE class.

Definition at line 125 of file LEE.cpp.

126{

127}

◆ LEE()

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

protected

Initialises UnsteadySystem class members.

Definition at line 47 of file LEE.cpp.

    : UnsteadySystem(pSession, pGraph), AcousticSystem(pSession, pGraph)
{
    m_ip   = 0;
    m_irho = 1;
    m_iu   = 2;
 
    m_conservative = true;
}

References Nektar::AcousticSystem::m_conservative, Nektar::AcousticSystem::m_ip, Nektar::AcousticSystem::m_irho, and Nektar::AcousticSystem::m_iu.

Member Function Documentation

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 52 of file LEE.h.

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

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

◆ v_AddLinTerm()

void Nektar::LEE::v_AddLinTerm	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray
	)

overrideprotectedvirtual

Reimplemented from Nektar::AcousticSystem.

Definition at line 193 of file LEE.cpp.

{
    int nq = GetTotPoints();
 
    Array<OneD, Array<OneD, NekDouble>> linTerm(m_spacedim + 2);
    for (int i = 0; i < m_spacedim + 2; ++i)
    {
        if (i == 1)
        {
            // skip rho
            continue;
        }
 
        linTerm[i] = Array<OneD, NekDouble>(nq);
    }
 
    Array<OneD, const NekDouble> c0sq  = m_bf[0];
    Array<OneD, const NekDouble> rho0  = m_bf[1];
    Array<OneD, const NekDouble> gamma = m_bf[m_iu + m_spacedim];
 
    Array<OneD, NekDouble> gammaMinOne(nq);
    Vmath::Sadd(nq, -1.0, gamma, 1, gammaMinOne, 1);
 
    Array<OneD, NekDouble> p0(nq);
    Vmath::Vmul(nq, c0sq, 1, rho0, 1, p0, 1);
    Vmath::Vdiv(nq, p0, 1, gamma, 1, p0, 1);
 
    Array<OneD, Array<OneD, const NekDouble>> u0(m_spacedim);
    for (int i = 0; i < m_spacedim; ++i)
    {
        u0[i] = m_bf[2 + i];
    }
 
    Array<OneD, const NekDouble> p   = inarray[0];
    Array<OneD, const NekDouble> rho = inarray[1];
 
    Array<OneD, Array<OneD, const NekDouble>> ru(m_spacedim);
    for (int i = 0; i < m_spacedim; ++i)
    {
        ru[i] = inarray[2 + i];
    }
 
    Array<OneD, NekDouble> grad(nq);
    Array<OneD, NekDouble> tmp1(nq);
 
    // p
    {
        Vmath::Zero(nq, linTerm[m_ip], 1);
        // (1-gamma) ( ru_j / rho0 * dp0/dx_j - p * du0_j/dx_j )
        for (int j = 0; j < m_spacedim; ++j)
        {
            // ru_j / rho0 * dp0/dx_j
            m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[j], p0, grad);
            Vmath::Vmul(nq, grad, 1, ru[j], 1, tmp1, 1);
            Vmath::Vdiv(nq, tmp1, 1, rho0, 1, tmp1, 1);
            // p * du0_j/dx_j - ru_j / rho0 * dp0/dx_j
            m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[j], u0[j],
                                   grad);
            Vmath::Vvtvm(nq, grad, 1, p, 1, tmp1, 1, tmp1, 1);
            // (gamma-1) (p * du0_j/dx_j - ru_j / rho0 * dp0/dx_j)
            Vmath::Vvtvp(nq, gammaMinOne, 1, tmp1, 1, linTerm[m_ip], 1,
                         linTerm[m_ip], 1);
        }
    }
 
    // rho has no linTerm
 
    // ru_i
    for (int i = 0; i < m_spacedim; ++i)
    {
        Vmath::Zero(nq, linTerm[m_iu + i], 1);
        // du0_i/dx_j * (u0_j * rho + ru_j)
        for (int j = 0; j < m_spacedim; ++j)
        {
            // d u0_i / d x_j
            m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[j], u0[i],
                                   grad);
            // u0_j * rho + ru_j
            Vmath::Vvtvp(nq, u0[j], 1, rho, 1, ru[j], 1, tmp1, 1);
            // du0_i/dx_j * (u0_j * rho + ru_j)
            Vmath::Vvtvp(nq, grad, 1, tmp1, 1, linTerm[m_iu + i], 1,
                         linTerm[m_iu + i], 1);
        }
    }
 
    Array<OneD, NekDouble> tmpC(GetNcoeffs());
    for (int i = 0; i < m_spacedim + 2; ++i)
    {
        if (i == 1)
        {
            // skip rho
            continue;
        }
 
        m_fields[0]->FwdTrans(linTerm[i], tmpC);
        m_fields[0]->BwdTrans(tmpC, linTerm[i]);
 
        Vmath::Vadd(nq, outarray[i], 1, linTerm[i], 1, outarray[i], 1);
    }
}

References Nektar::MultiRegions::DirCartesianMap, Nektar::SolverUtils::EquationSystem::GetNcoeffs(), Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::AcousticSystem::m_bf, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::AcousticSystem::m_ip, Nektar::AcousticSystem::m_iu, Nektar::SolverUtils::EquationSystem::m_spacedim, CellMLToNektar.cellml_metadata::p, Vmath::Sadd(), Vmath::Vadd(), Vmath::Vdiv(), Vmath::Vmul(), Vmath::Vvtvm(), Vmath::Vvtvp(), and Vmath::Zero().

◆ v_GetFluxVector()

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

overrideprotectedvirtual

Return the flux vector for the LEE equations.

Parameters

physfield	Fields.
flux	Resulting flux. flux[eq][dir][pt]

Implements Nektar::AcousticSystem.

Definition at line 135 of file LEE.cpp.

{
    int nq = physfield[0].size();
 
    ASSERTL1(flux[0].size() == m_spacedim,
             "Dimension of flux array and velocity array do not match");
 
    Array<OneD, const NekDouble> c0sq = m_bf[0];
    Array<OneD, Array<OneD, const NekDouble>> u0(m_spacedim);
    for (int i = 0; i < m_spacedim; ++i)
    {
        u0[i] = m_bf[2 + i];
    }
 
    Array<OneD, const NekDouble> p   = physfield[m_ip];
    Array<OneD, const NekDouble> rho = physfield[m_irho];
    Array<OneD, Array<OneD, const NekDouble>> ru(m_spacedim);
    for (int i = 0; i < m_spacedim; ++i)
    {
        ru[i] = physfield[m_iu + i];
    }
 
    // F_{adv,p',j} = c0^2 * ru_j + u0_j * p
    for (int j = 0; j < m_spacedim; ++j)
    {
        int i = 0;
        Vmath::Vvtvvtp(nq, c0sq, 1, ru[j], 1, u0[j], 1, p, 1, flux[i][j], 1);
    }
 
    // F_{adv,rho',j} = u0_j * rho' + ru_j
    for (int j = 0; j < m_spacedim; ++j)
    {
        int i = 1;
        // u0_j * rho' + ru_j
        Vmath::Vvtvp(nq, u0[j], 1, rho, 1, ru[j], 1, flux[i][j], 1);
    }
 
    for (int i = 0; i < m_spacedim; ++i)
    {
        // F_{adv,u'_i,j} = ru_i * u0_j + delta_ij * p
        for (int j = 0; j < m_spacedim; ++j)
        {
            // ru_i * u0_j
            Vmath::Vmul(nq, ru[i], 1, u0[j], 1, flux[m_iu + i][j], 1);
 
            // kronecker delta
            if (i == j)
            {
                // delta_ij + p
                Vmath::Vadd(nq, p, 1, flux[m_iu + i][j], 1, flux[m_iu + i][j],
                            1);
            }
        }
    }
}

References ASSERTL1, Nektar::AcousticSystem::m_bf, Nektar::AcousticSystem::m_ip, Nektar::AcousticSystem::m_irho, Nektar::AcousticSystem::m_iu, Nektar::SolverUtils::EquationSystem::m_spacedim, CellMLToNektar.cellml_metadata::p, Vmath::Vadd(), Vmath::Vmul(), Vmath::Vvtvp(), and Vmath::Vvtvvtp().

Referenced by v_InitObject().

◆ v_InitObject()

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

overrideprotectedvirtual

Initialization object for the LEE class.

Reimplemented from Nektar::AcousticSystem.

Definition at line 61 of file LEE.cpp.

{
    AcousticSystem::v_InitObject(DeclareFields);
 
    m_bfNames.push_back("gamma");
 
    // Initialize basefield again
    m_bf = Array<OneD, Array<OneD, NekDouble>>(m_bfNames.size());
    for (int i = 0; i < m_bf.size(); ++i)
    {
        m_bf[i] = Array<OneD, NekDouble>(GetTotPoints());
    }
    GetFunction("Baseflow", m_fields[0], true)
        ->Evaluate(m_bfNames, m_bf, m_time);
 
    // Define the normal velocity fields
    m_bfFwdBwd = Array<OneD, Array<OneD, NekDouble>>(2 * m_bfNames.size());
    for (int i = 0; i < m_bfFwdBwd.size(); i++)
    {
        m_bfFwdBwd[i] = Array<OneD, NekDouble>(GetTraceNpoints(), 0.0);
    }
 
    string riemName;
    m_session->LoadSolverInfo("UpwindType", riemName, "Upwind");
    if (boost::to_lower_copy(riemName) == "characteristics" ||
        boost::to_lower_copy(riemName) == "leeupwind" ||
        boost::to_lower_copy(riemName) == "upwind")
    {
        riemName = "LEEUpwind";
    }
    if (boost::to_lower_copy(riemName) == "laxfriedrichs")
    {
        riemName = "LEELaxFriedrichs";
    }
    m_riemannSolver = SolverUtils::GetRiemannSolverFactory().CreateInstance(
        riemName, m_session);
    m_riemannSolver->SetVector("N", &LEE::GetNormals, this);
    m_riemannSolver->SetVector("basefieldFwdBwd", &LEE::GetBasefieldFwdBwd,
                               this);
    m_riemannSolver->SetAuxVec("vecLocs", &LEE::GetVecLocs, this);
 
    // Set up advection operator
    string advName;
    m_session->LoadSolverInfo("AdvectionType", advName, "WeakDG");
    m_advection =
        SolverUtils::GetAdvectionFactory().CreateInstance(advName, advName);
    m_advection->SetFluxVector(&LEE::v_GetFluxVector, this);
    m_advection->SetRiemannSolver(m_riemannSolver);
    m_advection->InitObject(m_session, m_fields);
 
    if (m_explicitAdvection)
    {
        m_ode.DefineOdeRhs(&LEE::DoOdeRhs, this);
        m_ode.DefineProjection(&LEE::DoOdeProjection, this);
    }
    else
    {
        ASSERTL0(false, "Implicit LEE not set up.");
    }
}

◆ v_RiemannInvariantBC()

void Nektar::LEE::v_RiemannInvariantBC	(	int	bcRegion,
		int	cnt,
		Array< OneD, Array< OneD, NekDouble > > &	Fwd,
		Array< OneD, Array< OneD, NekDouble > > &	BfFwd,
		Array< OneD, Array< OneD, NekDouble > > &	physarray
	)

overrideprotectedvirtual

Outflow characteristic boundary conditions for compressible flow problems.

Implements Nektar::AcousticSystem.

Definition at line 299 of file LEE.cpp.

{
    int id1, id2, nBCEdgePts;
    int nVariables = physarray.size();
 
    const Array<OneD, const int> &traceBndMap = m_fields[0]->GetTraceBndMap();
 
    int eMax = m_fields[0]->GetBndCondExpansions()[bcRegion]->GetExpSize();
 
    for (int e = 0; e < eMax; ++e)
    {
        nBCEdgePts = m_fields[0]
                         ->GetBndCondExpansions()[bcRegion]
                         ->GetExp(e)
                         ->GetTotPoints();
        id1 = m_fields[0]->GetBndCondExpansions()[bcRegion]->GetPhys_Offset(e);
        id2 = m_fields[0]->GetTrace()->GetPhys_Offset(traceBndMap[cnt + e]);
 
        // Calculate (v.n)
        Array<OneD, NekDouble> RVn(nBCEdgePts, 0.0);
        for (int i = 0; i < m_spacedim; ++i)
        {
            Vmath::Vvtvp(nBCEdgePts, &Fwd[m_iu + i][id2], 1,
                         &m_traceNormals[i][id2], 1, &RVn[0], 1, &RVn[0], 1);
        }
 
        // Calculate (v0.n)
        Array<OneD, NekDouble> RVn0(nBCEdgePts, 0.0);
        for (int i = 0; i < m_spacedim; ++i)
        {
            Vmath::Vvtvp(nBCEdgePts, &BfFwd[2 + i][id2], 1,
                         &m_traceNormals[i][id2], 1, &RVn0[0], 1, &RVn0[0], 1);
        }
 
        for (int i = 0; i < nBCEdgePts; ++i)
        {
            NekDouble c = sqrt(BfFwd[0][id2 + i]);
 
            NekDouble h1, h4, h5;
 
            if (RVn0[i] > 0)
            {
                // rho - p / c^2
                h1 = Fwd[m_irho][id2 + i] - Fwd[m_ip][id2 + i] / (c * c);
            }
            else
            {
                h1 = 0.0;
            }
 
            if (RVn0[i] - c > 0)
            {
                // ru / 2 - p / (2*c)
                h4 = RVn[i] / 2 - Fwd[m_ip][id2 + i] / (2 * c);
            }
            else
            {
                h4 = 0.0;
            }
 
            if (RVn0[i] + c > 0)
            {
                // ru / 2 + p / (2*c)
                h5 = RVn[i] / 2 + Fwd[m_ip][id2 + i] / (2 * c);
            }
            else
            {
                h5 = 0.0;
            }
 
            // compute conservative variables
            // p = c0*(h5-h4)
            // rho = h1 + (h5-h4)/c0
            // ru = h4+h5
            Fwd[m_ip][id2 + i]   = c * (h5 - h4);
            Fwd[m_irho][id2 + i] = h1 + (h5 - h4) / c;
            NekDouble RVnNew     = h4 + h5;
 
            // adjust velocity pert. according to new value
            // here we just omit the wall parallel velocity components, i.e
            // setting them to zero. This is equivalent to setting the two
            // vorticity characteristics h2 and h3 to zero. Mathematically,
            // this is only legitimate for incoming characteristics. However,
            // as h2 and h3 are convected by the flow, the value we precribe at
            // an the boundary for putgoing characteristics does not matter.
            // This implementation saves a few operations and is more robust
            // for mixed in/outflow boundaries and at the boundaries edges.
            for (int j = 0; j < m_spacedim; ++j)
            {
                Fwd[m_iu + j][id2 + i] = RVnNew * m_traceNormals[j][id2 + i];
            }
        }
 
        // Copy boundary adjusted values into the boundary expansion
        for (int i = 0; i < nVariables; ++i)
        {
            Vmath::Vcopy(nBCEdgePts, &Fwd[i][id2], 1,
                         &(m_fields[i]
                               ->GetBndCondExpansions()[bcRegion]
                               ->UpdatePhys())[id1],
                         1);
        }
    }
}