#include <LEE.h>

Inheritance diagram for Nektar::LEE:

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

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

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...

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...

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

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

virtual 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...

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

virtual void	v_Output () override

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

virtual 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
virtual SOLVER_UTILS_EXPORT bool	v_PostIntegrate (int step) override

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

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

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

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

virtual 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_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_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 MultiRegions::ExpListSharedPtr	v_GetPressure (void)

Private Member Functions
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) override
	Outflow characteristic boundary conditions for compressible flow problems. More...

Friends
class	MemoryManager< LEE >

Additional Inherited Members
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...

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
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...

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

Detailed Description

Definition at line 46 of file LEE.h.

Constructor & Destructor Documentation

◆ ~LEE()

Nektar::LEE::~LEE ( )

virtual

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
	)

overrideprivatevirtual

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);
         }
     }
 }

References Nektar::SolverUtils::EquationSystem::m_fields, Nektar::AcousticSystem::m_ip, Nektar::AcousticSystem::m_irho, Nektar::AcousticSystem::m_iu, Nektar::SolverUtils::EquationSystem::m_spacedim, Nektar::SolverUtils::EquationSystem::m_traceNormals, tinysimd::sqrt(), Vmath::Vcopy(), and Vmath::Vvtvp().

Friends And Related Function Documentation

◆ MemoryManager< LEE >

friend class MemoryManager< LEE >

friend

Definition at line 1 of file LEE.h.

Member Data Documentation

◆ className

string Nektar::LEE::className

static

Initial value:

= GetEquationSystemFactory().RegisterCreatorFunction(

"LEE", LEE::create, "Linearized Euler Equations")

Nektar::LEE::create

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

Creates an instance of this class.

Definition: LEE.h:52

Nektar::LibUtilities::NekFactory::RegisterCreatorFunction

tKey RegisterCreatorFunction(tKey idKey, CreatorFunction classCreator, std::string pDesc="")

Register a class with the factory.

Definition: NekFactory.hpp:198

Nektar::SolverUtils::GetEquationSystemFactory

EquationSystemFactory & GetEquationSystemFactory()

Definition: EquationSystem.cpp:85

Name of class.

Definition at line 62 of file LEE.h.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Private Member Functions

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ~LEE()

◆ LEE()

Member Function Documentation

◆ create()

◆ v_AddLinTerm()

◆ v_GetFluxVector()

◆ v_InitObject()

◆ v_RiemannInvariantBC()

Friends And Related Function Documentation

◆ MemoryManager< LEE >

Member Data Documentation

◆ className