#include <LinearSWE.h>

Inheritance diagram for Nektar::LinearSWE:

Public Member Functions
virtual	~LinearSWE ()

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

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, Array< OneD, NekDouble > &output)

SOLVER_UTILS_EXPORT void	SetSteps (const int steps)

SOLVER_UTILS_EXPORT void	ZeroPhysFields ()

SOLVER_UTILS_EXPORT void	FwdTransFields ()

SOLVER_UTILS_EXPORT void	SetModifiedBasis (const bool modbasis)

SOLVER_UTILS_EXPORT int	GetCheckpointNumber ()

SOLVER_UTILS_EXPORT void	SetCheckpointNumber (int num)

SOLVER_UTILS_EXPORT int	GetCheckpointSteps ()

SOLVER_UTILS_EXPORT void	SetCheckpointSteps (int num)

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

SOLVER_UTILS_EXPORT void	SetTime (const NekDouble time)

SOLVER_UTILS_EXPORT void	SetInitialStep (const int step)

SOLVER_UTILS_EXPORT void	SetBoundaryConditions (NekDouble time)
	Evaluates the boundary conditions at the given time. More...

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

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

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

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

Static Public Attributes inherited from Nektar::ShallowWaterSystem
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
	LinearSWE (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)

virtual void	v_InitObject (bool DeclareFields=true)
	Init object for UnsteadySystem class. More...

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

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

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

virtual void	v_GenerateSummary (SolverUtils::SummaryList &s)
	Print a summary of time stepping parameters. More...

virtual void	v_PrimitiveToConservative ()

virtual void	v_ConservativeToPrimitive ()

const Array< OneD, NekDouble > &	GetDepthFwd ()

const Array< OneD, NekDouble > &	GetDepthBwd ()

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

void	PrimitiveToConservative ()

void	ConservativeToPrimitive ()

NekDouble	GetGravity ()

const Array< OneD, const Array< OneD, NekDouble > > &	GetVecLocs ()

const Array< OneD, const Array< OneD, NekDouble > > &	GetNormals ()

const Array< OneD, NekDouble > &	GetDepth ()

bool	IsConstantDepth ()

void	CopyBoundaryTrace (const Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)

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

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

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

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

virtual SOLVER_UTILS_EXPORT void	v_AppendOutput1D (Array< OneD, Array< OneD, NekDouble >> &solution1D)
	Print the solution at each solution point in a txt file. More...

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

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)

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	UpdateTimeStepCheck ()

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 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 Attributes
Array< OneD, NekDouble >	m_dFwd
	Still water depth traces. More...

Array< OneD, NekDouble >	m_dBwd

Protected Attributes inherited from Nektar::ShallowWaterSystem
SolverUtils::RiemannSolverSharedPtr	m_riemannSolver

SolverUtils::RiemannSolverSharedPtr	m_riemannSolverLDG

SolverUtils::AdvectionSharedPtr	m_advection

SolverUtils::DiffusionSharedPtr	m_diffusion

bool	m_primitive
	Indicates if variables are primitive or conservative. More...

bool	m_constantDepth
	Indicates if constant depth case. More...

NekDouble	m_g
	Acceleration of gravity. More...

Array< OneD, NekDouble >	m_depth
	Still water depth. More...

Array< OneD, Array< OneD, NekDouble > >	m_bottomSlope

Array< OneD, NekDouble >	m_coriolis
	Coriolis force. More...

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

Protected Attributes inherited from Nektar::SolverUtils::UnsteadySystem
int	m_infosteps
	Number of time steps between outputting status information. More...

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

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

int	m_nanSteps

LibUtilities::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

bool	m_root

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_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. 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...

Private Member Functions
void	NumericalFlux1D (Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &numfluxX)

void	NumericalFlux2D (Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &numfluxX, Array< OneD, Array< OneD, NekDouble >> &numfluxY)

void	SetBoundaryConditions (Array< OneD, Array< OneD, NekDouble >> &physarray, NekDouble time)

void	WallBoundary2D (int bcRegion, int cnt, Array< OneD, Array< OneD, NekDouble >> &Fwd, Array< OneD, Array< OneD, NekDouble >> &physarray)

void	WallBoundary (int bcRegion, int cnt, Array< OneD, Array< OneD, NekDouble >> &Fwd, Array< OneD, Array< OneD, NekDouble >> &physarray)
	Wall boundary condition. More...

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

void	ConservativeToPrimitive (const Array< OneD, const Array< OneD, NekDouble >> &physin, Array< OneD, Array< OneD, NekDouble >> &physout)

void	PrimitiveToConservative (const Array< OneD, const Array< OneD, NekDouble >> &physin, Array< OneD, Array< OneD, NekDouble >> &physout)

void	GetVelocityVector (const Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &velocity)
	Compute the velocity field \( \mathbf{v} \) given the momentum \( h\mathbf{v} \). More...

Friends
class	MemoryManager< LinearSWE >

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...

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

Detailed Description

Definition at line 48 of file LinearSWE.h.

Constructor & Destructor Documentation

◆ ~LinearSWE()

Nektar::LinearSWE::~LinearSWE ( )

virtual

Definition at line 159 of file LinearSWE.cpp.

160 {

161 }

◆ LinearSWE()

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

protected

Definition at line 51 of file LinearSWE.cpp.

     : ShallowWaterSystem(pSession, pGraph)
 {
 }

Member Function Documentation

◆ AddCoriolis()

void Nektar::LinearSWE::AddCoriolis	(	const Array< OneD, const Array< OneD, NekDouble >> &	physarray,
		Array< OneD, Array< OneD, NekDouble >> &	outarray
	)

private

Definition at line 164 of file LinearSWE.cpp.

 {
  
     int ncoeffs = GetNcoeffs();
     int nq      = GetTotPoints();
  
     Array<OneD, NekDouble> tmp(nq);
     Array<OneD, NekDouble> mod(ncoeffs);
  
     switch (m_projectionType)
     {
         case MultiRegions::eDiscontinuous:
         {
             // add to u equation
             Vmath::Vmul(nq, m_coriolis, 1, physarray[2], 1, tmp, 1);
             m_fields[0]->IProductWRTBase(tmp, mod);
             m_fields[0]->MultiplyByElmtInvMass(mod, mod);
             m_fields[0]->BwdTrans(mod, tmp);
             Vmath::Vadd(nq, tmp, 1, outarray[1], 1, outarray[1], 1);
  
             // add to v equation
             Vmath::Vmul(nq, m_coriolis, 1, physarray[1], 1, tmp, 1);
             Vmath::Neg(nq, tmp, 1);
             m_fields[0]->IProductWRTBase(tmp, mod);
             m_fields[0]->MultiplyByElmtInvMass(mod, mod);
             m_fields[0]->BwdTrans(mod, tmp);
             Vmath::Vadd(nq, tmp, 1, outarray[2], 1, outarray[2], 1);
         }
         break;
         case MultiRegions::eGalerkin:
         case MultiRegions::eMixed_CG_Discontinuous:
         {
             // add to u equation
             Vmath::Vmul(nq, m_coriolis, 1, physarray[2], 1, tmp, 1);
             Vmath::Vadd(nq, tmp, 1, outarray[1], 1, outarray[1], 1);
  
             // add to v equation
             Vmath::Vmul(nq, m_coriolis, 1, physarray[1], 1, tmp, 1);
             Vmath::Neg(nq, tmp, 1);
             Vmath::Vadd(nq, tmp, 1, outarray[2], 1, outarray[2], 1);
         }
         break;
         default:
             ASSERTL0(false, "Unknown projection scheme for the NonlinearSWE");
             break;
     }
 }

References ASSERTL0, Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::MultiRegions::eMixed_CG_Discontinuous, Nektar::SolverUtils::EquationSystem::GetNcoeffs(), Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::ShallowWaterSystem::m_coriolis, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, Vmath::Neg(), Vmath::Vadd(), and Vmath::Vmul().

Referenced by DoOdeRhs().

◆ ConservativeToPrimitive()

void Nektar::LinearSWE::ConservativeToPrimitive	(	const Array< OneD, const Array< OneD, NekDouble >> &	physin,
		Array< OneD, Array< OneD, NekDouble >> &	physout
	)

private

Definition at line 576 of file LinearSWE.cpp.

 {
     int nq = GetTotPoints();
  
     if (physin.get() == physout.get())
     {
         // copy indata and work with tmp array
         Array<OneD, Array<OneD, NekDouble>> tmp(3);
         for (int i = 0; i < 3; ++i)
         {
             // deep copy
             tmp[i] = Array<OneD, NekDouble>(nq);
             Vmath::Vcopy(nq, physin[i], 1, tmp[i], 1);
         }
  
         // \eta = h - d
         Vmath::Vsub(nq, tmp[0], 1, m_depth, 1, physout[0], 1);
  
         // u = hu/h
         Vmath::Vdiv(nq, tmp[1], 1, tmp[0], 1, physout[1], 1);
  
         // v = hv/ v
         Vmath::Vdiv(nq, tmp[2], 1, tmp[0], 1, physout[2], 1);
     }
     else
     {
         // \eta = h - d
         Vmath::Vsub(nq, physin[0], 1, m_depth, 1, physout[0], 1);
  
         // u = hu/h
         Vmath::Vdiv(nq, physin[1], 1, physin[0], 1, physout[1], 1);
  
         // v = hv/ v
         Vmath::Vdiv(nq, physin[2], 1, physin[0], 1, physout[2], 1);
     }
 }

References Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::ShallowWaterSystem::m_depth, Vmath::Vcopy(), Vmath::Vdiv(), and Vmath::Vsub().

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 54 of file LinearSWE.h.

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

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

◆ DoOdeProjection()

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

protected

Definition at line 313 of file LinearSWE.cpp.

 {
     int i;
     int nvariables = inarray.size();
  
     switch (m_projectionType)
     {
         case MultiRegions::eDiscontinuous:
         {
  
             // Just copy over array
             int npoints = GetNpoints();
  
             for (i = 0; i < nvariables; ++i)
             {
                 Vmath::Vcopy(npoints, inarray[i], 1, outarray[i], 1);
             }
             SetBoundaryConditions(outarray, time);
             break;
         }
         case MultiRegions::eGalerkin:
         case MultiRegions::eMixed_CG_Discontinuous:
         {
  
             EquationSystem::SetBoundaryConditions(time);
             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, SetBoundaryConditions(), Nektar::SolverUtils::EquationSystem::SetBoundaryConditions(), and Vmath::Vcopy().

Referenced by v_InitObject().

◆ DoOdeRhs()

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

protected

Definition at line 214 of file LinearSWE.cpp.

 {
     int i, j;
     int ndim       = m_spacedim;
     int nvariables = inarray.size();
     int nq         = GetTotPoints();
  
     switch (m_projectionType)
     {
         case MultiRegions::eDiscontinuous:
         {
  
             //-------------------------------------------------------
             // Compute the DG advection including the numerical flux
             // by using SolverUtils/Advection
             // Input and output in physical space
             Array<OneD, Array<OneD, NekDouble>> advVel;
  
             m_advection->Advect(nvariables, m_fields, advVel, inarray, outarray,
                                 time);
             //-------------------------------------------------------
  
             //-------------------------------------------------------
             // negate the outarray since moving terms to the rhs
             for (i = 0; i < nvariables; ++i)
             {
                 Vmath::Neg(nq, outarray[i], 1);
             }
             //-------------------------------------------------------
  
             //-------------------------------------------------
             // Add "source terms"
             // Input and output in physical space
  
             // Coriolis forcing
             if (m_coriolis.size() != 0)
             {
                 AddCoriolis(inarray, outarray);
             }
             //-------------------------------------------------
         }
         break;
         case MultiRegions::eGalerkin:
         case MultiRegions::eMixed_CG_Discontinuous:
         {
  
             //-------------------------------------------------------
             // Compute the fluxvector in physical space
             Array<OneD, Array<OneD, Array<OneD, NekDouble>>> fluxvector(
                 nvariables);
  
             for (i = 0; i < nvariables; ++i)
             {
                 fluxvector[i] = Array<OneD, Array<OneD, NekDouble>>(ndim);
                 for (j = 0; j < ndim; ++j)
                 {
                     fluxvector[i][j] = Array<OneD, NekDouble>(nq);
                 }
             }
  
             LinearSWE::GetFluxVector(inarray, fluxvector);
             //-------------------------------------------------------
  
             //-------------------------------------------------------
             // Take the derivative of the flux terms
             // and negate the outarray since moving terms to the rhs
             Array<OneD, NekDouble> tmp(nq);
             Array<OneD, NekDouble> tmp1(nq);
  
             for (i = 0; i < nvariables; ++i)
             {
                 m_fields[i]->PhysDeriv(MultiRegions::DirCartesianMap[0],
                                        fluxvector[i][0], tmp);
                 m_fields[i]->PhysDeriv(MultiRegions::DirCartesianMap[1],
                                        fluxvector[i][1], tmp1);
                 Vmath::Vadd(nq, tmp, 1, tmp1, 1, outarray[i], 1);
                 Vmath::Neg(nq, outarray[i], 1);
             }
  
             //-------------------------------------------------
             // Add "source terms"
             // Input and output in physical space
  
             // Coriolis forcing
             if (m_coriolis.size() != 0)
             {
                 AddCoriolis(inarray, outarray);
             }
             //-------------------------------------------------
         }
         break;
         default:
             ASSERTL0(false, "Unknown projection scheme for the NonlinearSWE");
             break;
     }
 }

References AddCoriolis(), ASSERTL0, Nektar::MultiRegions::DirCartesianMap, Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::MultiRegions::eMixed_CG_Discontinuous, GetFluxVector(), Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::ShallowWaterSystem::m_advection, Nektar::ShallowWaterSystem::m_coriolis, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::SolverUtils::EquationSystem::m_spacedim, Vmath::Neg(), and Vmath::Vadd().

Referenced by v_InitObject().

◆ GetDepthBwd()

const Array<OneD, NekDouble>& Nektar::LinearSWE::GetDepthBwd ( )

inlineprotected

Definition at line 100 of file LinearSWE.h.

     {
         return m_dBwd;
     }

References m_dBwd.

Referenced by v_InitObject().

◆ GetDepthFwd()

const Array<OneD, NekDouble>& Nektar::LinearSWE::GetDepthFwd ( )

inlineprotected

Definition at line 96 of file LinearSWE.h.

     {
         return m_dFwd;
     }

References m_dFwd.

Referenced by v_InitObject().

◆ GetFluxVector()

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

protected

Definition at line 542 of file LinearSWE.cpp.

 {
     int i, j;
     int nq = m_fields[0]->GetTotPoints();
  
     NekDouble g = m_g;
  
     // Flux vector for the mass equation
     for (i = 0; i < m_spacedim; ++i)
     {
         Vmath::Vmul(nq, m_depth, 1, physfield[i + 1], 1, flux[0][i], 1);
     }
  
     // Put (g eta) in tmp
     Array<OneD, NekDouble> tmp(nq);
     Vmath::Smul(nq, g, physfield[0], 1, tmp, 1);
  
     // Flux vector for the momentum equations
     for (i = 0; i < m_spacedim; ++i)
     {
         for (j = 0; j < m_spacedim; ++j)
         {
             // must zero fluxes as not initialised to zero in AdvectionWeakDG
             // ...
             Vmath::Zero(nq, flux[i + 1][j], 1);
         }
  
         // Add (g eta) to appropriate field
         Vmath::Vadd(nq, flux[i + 1][i], 1, tmp, 1, flux[i + 1][i], 1);
     }
 }

References Nektar::ShallowWaterSystem::m_depth, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::ShallowWaterSystem::m_g, Nektar::SolverUtils::EquationSystem::m_spacedim, Vmath::Smul(), Vmath::Vadd(), Vmath::Vmul(), and Vmath::Zero().

Referenced by DoOdeRhs(), and v_InitObject().

◆ GetVelocityVector()

void Nektar::LinearSWE::GetVelocityVector	(	const Array< OneD, Array< OneD, NekDouble >> &	physfield,
		Array< OneD, Array< OneD, NekDouble >> &	velocity
	)

private

Compute the velocity field \( \mathbf{v} \) given the momentum \( h\mathbf{v} \).

Parameters

physfield	Velocity field.
velocity	Velocity field.

Definition at line 696 of file LinearSWE.cpp.

 {
     const int npts = physfield[0].size();
  
     for (int i = 0; i < m_spacedim; ++i)
     {
         Vmath::Vcopy(npts, physfield[1 + i], 1, velocity[i], 1);
     }
 }

References Nektar::SolverUtils::EquationSystem::m_spacedim, and Vmath::Vcopy().

◆ NumericalFlux1D()

void Nektar::LinearSWE::NumericalFlux1D	(	Array< OneD, Array< OneD, NekDouble >> &	physfield,
		Array< OneD, Array< OneD, NekDouble >> &	numfluxX
	)

private

◆ NumericalFlux2D()

void Nektar::LinearSWE::NumericalFlux2D	(	Array< OneD, Array< OneD, NekDouble >> &	physfield,
		Array< OneD, Array< OneD, NekDouble >> &	numfluxX,
		Array< OneD, Array< OneD, NekDouble >> &	numfluxY
	)

private

◆ PrimitiveToConservative()

void Nektar::LinearSWE::PrimitiveToConservative	(	const Array< OneD, const Array< OneD, NekDouble >> &	physin,
		Array< OneD, Array< OneD, NekDouble >> &	physout
	)

private

Definition at line 632 of file LinearSWE.cpp.

 {
  
     int nq = GetTotPoints();
  
     if (physin.get() == physout.get())
     {
         // copy indata and work with tmp array
         Array<OneD, Array<OneD, NekDouble>> tmp(3);
         for (int i = 0; i < 3; ++i)
         {
             // deep copy
             tmp[i] = Array<OneD, NekDouble>(nq);
             Vmath::Vcopy(nq, physin[i], 1, tmp[i], 1);
         }
  
         // h = \eta + d
         Vmath::Vadd(nq, tmp[0], 1, m_depth, 1, physout[0], 1);
  
         // hu = h * u
         Vmath::Vmul(nq, physout[0], 1, tmp[1], 1, physout[1], 1);
  
         // hv = h * v
         Vmath::Vmul(nq, physout[0], 1, tmp[2], 1, physout[2], 1);
     }
     else
     {
         // h = \eta + d
         Vmath::Vadd(nq, physin[0], 1, m_depth, 1, physout[0], 1);
  
         // hu = h * u
         Vmath::Vmul(nq, physout[0], 1, physin[1], 1, physout[1], 1);
  
         // hv = h * v
         Vmath::Vmul(nq, physout[0], 1, physin[2], 1, physout[2], 1);
     }
 }

References Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::ShallowWaterSystem::m_depth, Vmath::Vadd(), Vmath::Vcopy(), and Vmath::Vmul().

◆ SetBoundaryConditions()

void Nektar::LinearSWE::SetBoundaryConditions	(	Array< OneD, Array< OneD, NekDouble >> &	physarray,
		NekDouble	time
	)

private

Definition at line 356 of file LinearSWE.cpp.

 {
     std::string varName;
     int nvariables = m_fields.size();
     int cnt        = 0;
     int nTracePts  = GetTraceTotPoints();
  
     // Extract trace for boundaries. Needs to be done on all processors to avoid
     // deadlock.
     Array<OneD, Array<OneD, NekDouble>> Fwd(nvariables);
     for (int i = 0; i < nvariables; ++i)
     {
         Fwd[i] = Array<OneD, NekDouble>(nTracePts);
         m_fields[i]->ExtractTracePhys(inarray[i], Fwd[i]);
     }
  
     // loop over Boundary Regions
     for (int n = 0; n < m_fields[0]->GetBndConditions().size(); ++n)
     {
         if (m_fields[0]->GetBndConditions()[n]->GetBoundaryConditionType() ==
             SpatialDomains::ePeriodic)
         {
             continue;
         }
  
         // Wall Boundary Condition
         if (boost::iequals(m_fields[0]->GetBndConditions()[n]->GetUserDefined(),
                            "Wall"))
         {
             WallBoundary2D(n, cnt, Fwd, inarray);
         }
  
         // Time Dependent Boundary Condition (specified in meshfile)
         if (m_fields[0]->GetBndConditions()[n]->IsTimeDependent())
         {
             for (int i = 0; i < nvariables; ++i)
             {
                 varName = m_session->GetVariable(i);
                 m_fields[i]->EvaluateBoundaryConditions(time, varName);
             }
         }
         cnt += m_fields[0]->GetBndCondExpansions()[n]->GetExpSize();
     }
 }

References Nektar::SpatialDomains::ePeriodic, Nektar::SolverUtils::EquationSystem::GetTraceTotPoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_session, and WallBoundary2D().

Referenced by DoOdeProjection().

◆ v_ConservativeToPrimitive()

void Nektar::LinearSWE::v_ConservativeToPrimitive ( )

protectedvirtual

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 615 of file LinearSWE.cpp.

 {
     int nq = GetTotPoints();
  
     // u = hu/h
     Vmath::Vdiv(nq, m_fields[1]->GetPhys(), 1, m_fields[0]->GetPhys(), 1,
                 m_fields[1]->UpdatePhys(), 1);
  
     // v = hv/ v
     Vmath::Vdiv(nq, m_fields[2]->GetPhys(), 1, m_fields[0]->GetPhys(), 1,
                 m_fields[2]->UpdatePhys(), 1);
  
     // \eta = h - d
     Vmath::Vsub(nq, m_fields[0]->GetPhys(), 1, m_depth, 1,
                 m_fields[0]->UpdatePhys(), 1);
 }

References Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::ShallowWaterSystem::m_depth, Nektar::SolverUtils::EquationSystem::m_fields, Vmath::Vdiv(), and Vmath::Vsub().

◆ v_GenerateSummary()

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

protectedvirtual

Print a summary of time stepping parameters.

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 708 of file LinearSWE.cpp.

 {
     ShallowWaterSystem::v_GenerateSummary(s);
     if (m_session->DefinesSolverInfo("UpwindType"))
     {
         std::string UpwindType;
         UpwindType = m_session->GetSolverInfo("UpwindType");
         if (UpwindType == "LinearAverage")
         {
             SolverUtils::AddSummaryItem(s, "Riemann Solver", "Linear Average");
         }
         if (UpwindType == "LinearHLL")
         {
             SolverUtils::AddSummaryItem(s, "Riemann Solver", "Linear HLL");
         }
     }
     SolverUtils::AddSummaryItem(s, "Variables", "eta  should be in field[0]");
     SolverUtils::AddSummaryItem(s, "", "u    should be in field[1]");
     SolverUtils::AddSummaryItem(s, "", "v    should be in field[2]");
 }

References Nektar::SolverUtils::AddSummaryItem(), Nektar::SolverUtils::EquationSystem::m_session, and Nektar::ShallowWaterSystem::v_GenerateSummary().

◆ v_InitObject()

void Nektar::LinearSWE::v_InitObject ( bool DeclareField = true )

protectedvirtual

Init object for UnsteadySystem class.

Initialization object for UnsteadySystem class.

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 57 of file LinearSWE.cpp.

 {
     ShallowWaterSystem::v_InitObject(DeclareFields);
  
     if (m_explicitAdvection)
     {
         m_ode.DefineOdeRhs(&LinearSWE::DoOdeRhs, this);
         m_ode.DefineProjection(&LinearSWE::DoOdeProjection, this);
     }
     else
     {
         ASSERTL0(false, "Implicit SWE not set up.");
     }
  
     // Type of advection class to be used
     switch (m_projectionType)
     {
             // Continuous field
         case MultiRegions::eGalerkin:
         {
             //  Do nothing
             break;
         }
             // Discontinuous field
         case MultiRegions::eDiscontinuous:
         {
             string advName;
             string diffName;
             string riemName;
  
             //---------------------------------------------------------------
             // Setting up advection and diffusion operators
             // NB: diffusion not set up for SWE at the moment
             //     but kept here for future use ...
             m_session->LoadSolverInfo("AdvectionType", advName, "WeakDG");
             // m_session->LoadSolverInfo("DiffusionType", diffName, "LDGEddy");
             m_advection = SolverUtils::GetAdvectionFactory().CreateInstance(
                 advName, advName);
             // m_diffusion = SolverUtils::GetDiffusionFactory()
             //                             .CreateInstance(diffName, diffName);
  
             m_advection->SetFluxVector(&LinearSWE::GetFluxVector, this);
             // m_diffusion->SetFluxVectorNS(&ShallowWaterSystem::
             //                                  GetEddyViscosityFluxVector,
             //                                  this);
  
             // Setting up Riemann solver for advection operator
             m_session->LoadSolverInfo("UpwindType", riemName, "NoSolver");
             if ((riemName == "LinearHLL") && (m_constantDepth != true))
             {
                 ASSERTL0(false, "LinearHLL only valid for constant depth");
             }
             m_riemannSolver =
                 SolverUtils::GetRiemannSolverFactory().CreateInstance(
                     riemName, m_session);
  
             // Setting up upwind solver for diffusion operator
             // m_riemannSolverLDG = SolverUtils::GetRiemannSolverFactory()
             //                                 .CreateInstance("UpwindLDG");
  
             // Setting up parameters for advection operator Riemann solver
             m_riemannSolver->SetParam("gravity", &LinearSWE::GetGravity, this);
             m_riemannSolver->SetAuxVec("vecLocs", &LinearSWE::GetVecLocs, this);
             m_riemannSolver->SetVector("N", &LinearSWE::GetNormals, this);
  
             // The numerical flux for linear SWE requires depth information
             int nTracePointsTot = m_fields[0]->GetTrace()->GetTotPoints();
             m_dFwd              = Array<OneD, NekDouble>(nTracePointsTot);
             m_dBwd              = Array<OneD, NekDouble>(nTracePointsTot);
             m_fields[0]->GetFwdBwdTracePhys(m_depth, m_dFwd, m_dBwd);
             CopyBoundaryTrace(m_dFwd, m_dBwd);
             m_riemannSolver->SetScalar("depthFwd", &LinearSWE::GetDepthFwd,
                                        this);
             m_riemannSolver->SetScalar("depthBwd", &LinearSWE::GetDepthBwd,
                                        this);
  
             // Setting up parameters for diffusion operator Riemann solver
             // m_riemannSolverLDG->AddParam (
             //                     "gravity",
             //                     &NonlinearSWE::GetGravity,   this);
             // m_riemannSolverLDG->SetAuxVec(
             //                     "vecLocs",
             //                     &NonlinearSWE::GetVecLocs,  this);
             // m_riemannSolverLDG->AddVector(
             //                     "N",
             //                     &NonlinearSWE::GetNormals, this);
  
             // Concluding initialisation of advection / diffusion operators
             m_advection->SetRiemannSolver(m_riemannSolver);
             // m_diffusion->SetRiemannSolver   (m_riemannSolverLDG);
             m_advection->InitObject(m_session, m_fields);
             // m_diffusion->InitObject         (m_session, m_fields);
             break;
         }
         default:
         {
             ASSERTL0(false, "Unsupported projection type.");
             break;
         }
     }
 }

◆ v_PrimitiveToConservative()

void Nektar::LinearSWE::v_PrimitiveToConservative ( )

protectedvirtual

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 672 of file LinearSWE.cpp.

 {
     int nq = GetTotPoints();
  
     // h = \eta + d
     Vmath::Vadd(nq, m_fields[0]->GetPhys(), 1, m_depth, 1,
                 m_fields[0]->UpdatePhys(), 1);
  
     // hu = h * u
     Vmath::Vmul(nq, m_fields[0]->GetPhys(), 1, m_fields[1]->GetPhys(), 1,
                 m_fields[1]->UpdatePhys(), 1);
  
     // hv = h * v
     Vmath::Vmul(nq, m_fields[0]->GetPhys(), 1, m_fields[2]->GetPhys(), 1,
                 m_fields[2]->UpdatePhys(), 1);
 }

References Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::ShallowWaterSystem::m_depth, Nektar::SolverUtils::EquationSystem::m_fields, Vmath::Vadd(), and Vmath::Vmul().

◆ WallBoundary()

void Nektar::LinearSWE::WallBoundary	(	int	bcRegion,
		int	cnt,
		Array< OneD, Array< OneD, NekDouble >> &	Fwd,
		Array< OneD, Array< OneD, NekDouble >> &	physarray
	)

private

Wall boundary condition.

Definition at line 406 of file LinearSWE.cpp.

 {
     int i;
     int nvariables = physarray.size();
  
     // Adjust the physical values of the trace to take
     // user defined boundaries into account
     int e, id1, id2, npts;
  
     for (e = 0; e < m_fields[0]->GetBndCondExpansions()[bcRegion]->GetExpSize();
          ++e)
     {
         npts = m_fields[0]
                    ->GetBndCondExpansions()[bcRegion]
                    ->GetExp(e)
                    ->GetTotPoints();
         id1 = m_fields[0]->GetBndCondExpansions()[bcRegion]->GetPhys_Offset(e);
         id2 = m_fields[0]->GetTrace()->GetPhys_Offset(
             m_fields[0]->GetTraceMap()->GetBndCondIDToGlobalTraceID(cnt + e));
  
         // For 2D/3D, define: v* = v - 2(v.n)n
         Array<OneD, NekDouble> tmp(npts, 0.0);
  
         // Calculate (v.n)
         for (i = 0; i < m_spacedim; ++i)
         {
             Vmath::Vvtvp(npts, &Fwd[1 + i][id2], 1, &m_traceNormals[i][id2], 1,
                          &tmp[0], 1, &tmp[0], 1);
         }
  
         // Calculate 2.0(v.n)
         Vmath::Smul(npts, -2.0, &tmp[0], 1, &tmp[0], 1);
  
         // Calculate v* = v - 2.0(v.n)n
         for (i = 0; i < m_spacedim; ++i)
         {
             Vmath::Vvtvp(npts, &tmp[0], 1, &m_traceNormals[i][id2], 1,
                          &Fwd[1 + i][id2], 1, &Fwd[1 + i][id2], 1);
         }
  
         // copy boundary adjusted values into the boundary expansion
         for (i = 0; i < nvariables; ++i)
         {
             Vmath::Vcopy(npts, &Fwd[i][id2], 1,
                          &(m_fields[i]
                                ->GetBndCondExpansions()[bcRegion]
                                ->UpdatePhys())[id1],
                          1);
         }
     }
 }

References Nektar::SolverUtils::EquationSystem::GetExpSize(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_spacedim, Nektar::SolverUtils::EquationSystem::m_traceNormals, Vmath::Smul(), Vmath::Vcopy(), and Vmath::Vvtvp().

◆ WallBoundary2D()

void Nektar::LinearSWE::WallBoundary2D	(	int	bcRegion,
		int	cnt,
		Array< OneD, Array< OneD, NekDouble >> &	Fwd,
		Array< OneD, Array< OneD, NekDouble >> &	physarray
	)

private

Definition at line 460 of file LinearSWE.cpp.

 {
  
     int i;
     int nvariables = physarray.size();
  
     // Adjust the physical values of the trace to take
     // user defined boundaries into account
     int e, id1, id2, npts;
  
     for (e = 0; e < m_fields[0]->GetBndCondExpansions()[bcRegion]->GetExpSize();
          ++e)
     {
         npts = m_fields[0]
                    ->GetBndCondExpansions()[bcRegion]
                    ->GetExp(e)
                    ->GetNumPoints(0);
         id1 = m_fields[0]->GetBndCondExpansions()[bcRegion]->GetPhys_Offset(e);
         id2 = m_fields[0]->GetTrace()->GetPhys_Offset(
             m_fields[0]->GetTraceMap()->GetBndCondIDToGlobalTraceID(cnt + e));
  
         switch (m_expdim)
         {
             case 1:
             {
                 // negate the forward flux
                 Vmath::Neg(npts, &Fwd[1][id2], 1);
             }
             break;
             case 2:
             {
                 Array<OneD, NekDouble> tmp_n(npts);
                 Array<OneD, NekDouble> tmp_t(npts);
  
                 Vmath::Vmul(npts, &Fwd[1][id2], 1, &m_traceNormals[0][id2], 1,
                             &tmp_n[0], 1);
                 Vmath::Vvtvp(npts, &Fwd[2][id2], 1, &m_traceNormals[1][id2], 1,
                              &tmp_n[0], 1, &tmp_n[0], 1);
  
                 Vmath::Vmul(npts, &Fwd[1][id2], 1, &m_traceNormals[1][id2], 1,
                             &tmp_t[0], 1);
                 Vmath::Vvtvm(npts, &Fwd[2][id2], 1, &m_traceNormals[0][id2], 1,
                              &tmp_t[0], 1, &tmp_t[0], 1);
  
                 // negate the normal flux
                 Vmath::Neg(npts, tmp_n, 1);
  
                 // rotate back to Cartesian
                 Vmath::Vmul(npts, &tmp_t[0], 1, &m_traceNormals[1][id2], 1,
                             &Fwd[1][id2], 1);
                 Vmath::Vvtvm(npts, &tmp_n[0], 1, &m_traceNormals[0][id2], 1,
                              &Fwd[1][id2], 1, &Fwd[1][id2], 1);
  
                 Vmath::Vmul(npts, &tmp_t[0], 1, &m_traceNormals[0][id2], 1,
                             &Fwd[2][id2], 1);
                 Vmath::Vvtvp(npts, &tmp_n[0], 1, &m_traceNormals[1][id2], 1,
                              &Fwd[2][id2], 1, &Fwd[2][id2], 1);
             }
             break;
             case 3:
                 ASSERTL0(false,
                          "3D not implemented for Shallow Water Equations");
                 break;
             default:
                 ASSERTL0(false, "Illegal expansion dimension");
         }
  
         // copy boundary adjusted values into the boundary expansion
         for (i = 0; i < nvariables; ++i)
         {
             Vmath::Vcopy(npts, &Fwd[i][id2], 1,
                          &(m_fields[i]
                                ->GetBndCondExpansions()[bcRegion]
                                ->UpdatePhys())[id1],
                          1);
         }
     }
 }

References ASSERTL0, Nektar::SolverUtils::EquationSystem::GetExpSize(), Nektar::SolverUtils::EquationSystem::m_expdim, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_traceNormals, Vmath::Neg(), Vmath::Vcopy(), Vmath::Vmul(), Vmath::Vvtvm(), and Vmath::Vvtvp().

Referenced by SetBoundaryConditions().

Friends And Related Function Documentation

◆ MemoryManager< LinearSWE >

friend class MemoryManager< LinearSWE >

friend

Definition at line 1 of file LinearSWE.h.

Member Data Documentation

◆ className

string Nektar::LinearSWE::className

static

Initial value:

=
    SolverUtils::GetEquationSystemFactory().RegisterCreatorFunction(
        "LinearSWE", LinearSWE::create,
        "Linear shallow water equation in primitive variables.")

Name of class.

Definition at line 64 of file LinearSWE.h.

◆ m_dBwd

Array<OneD, NekDouble> Nektar::LinearSWE::m_dBwd

protected

Definition at line 76 of file LinearSWE.h.

Referenced by GetDepthBwd(), and v_InitObject().

◆ m_dFwd

Array<OneD, NekDouble> Nektar::LinearSWE::m_dFwd

protected

Still water depth traces.

Definition at line 75 of file LinearSWE.h.

Referenced by GetDepthFwd(), and v_InitObject().

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ~LinearSWE()

◆ LinearSWE()

Member Function Documentation

◆ AddCoriolis()

◆ ConservativeToPrimitive()

◆ create()

◆ DoOdeProjection()

◆ DoOdeRhs()

◆ GetDepthBwd()

◆ GetDepthFwd()

◆ GetFluxVector()

◆ GetVelocityVector()

◆ NumericalFlux1D()

◆ NumericalFlux2D()

◆ PrimitiveToConservative()

◆ SetBoundaryConditions()

◆ v_ConservativeToPrimitive()

◆ v_GenerateSummary()

◆ v_InitObject()

◆ v_PrimitiveToConservative()

◆ WallBoundary()

◆ WallBoundary2D()

Friends And Related Function Documentation

◆ MemoryManager< LinearSWE >

Member Data Documentation

◆ className

◆ m_dBwd

◆ m_dFwd