#include <LinearSWE.h>

Inheritance diagram for Nektar::LinearSWE:

Collaboration 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...

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 ()
	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 >
boost::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	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 void	EvaluateFunction (Array< OneD, Array< OneD, NekDouble > > &pArray, std::string pFunctionName, const NekDouble pTime=0.0, const int domain=0)
	Evaluates a function as specified in the session file. More...

SOLVER_UTILS_EXPORT void	EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, Array< OneD, NekDouble > > &pFields, const std::string &pName, const int domain=0)
	Populate given fields with the function from session. More...

SOLVER_UTILS_EXPORT void	EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const std::string &pName, const int domain=0)
	Populate given fields with the function from session. More...

SOLVER_UTILS_EXPORT void	EvaluateFunction (std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, const NekDouble &pTime=0.0, const int domain=0)

SOLVER_UTILS_EXPORT std::string	DescribeFunction (std::string pFieldName, const std::string &pFunctionName, const int domain)
	Provide a description of a function for a given field name. More...

SOLVER_UTILS_EXPORT void	InitialiseBaseFlow (Array< OneD, Array< OneD, NekDouble > > &base)
	Perform initialisation of the base flow. 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	WeakAdvectionGreensDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\nabla \phi \cdot F)$ . More...

SOLVER_UTILS_EXPORT void	WeakAdvectionDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\phi, \nabla \cdot F)$ . More...

SOLVER_UTILS_EXPORT void	WeakAdvectionNonConservativeForm (const Array< OneD, Array< OneD, NekDouble > > &V, const Array< OneD, const NekDouble > &u, Array< OneD, NekDouble > &outarray, bool UseContCoeffs=false)
	Compute the inner product $(\phi, V\cdot \nabla u)$ . More...

f SOLVER_UTILS_EXPORT void	AdvectionNonConservativeForm (const Array< OneD, Array< OneD, NekDouble > > &V, const Array< OneD, const NekDouble > &u, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wk=NullNekDouble1DArray)
	Compute the non-conservative advection. More...

SOLVER_UTILS_EXPORT void	WeakDGAdvection (const Array< OneD, Array< OneD, NekDouble > > &InField, Array< OneD, Array< OneD, NekDouble > > &OutField, bool NumericalFluxIncludesNormal=true, bool InFieldIsInPhysSpace=false, int nvariables=0)
	Calculate the weak discontinuous Galerkin advection. More...

SOLVER_UTILS_EXPORT void	WeakDGDiffusion (const Array< OneD, Array< OneD, NekDouble > > &InField, Array< OneD, Array< OneD, NekDouble > > &OutField, bool NumericalFluxIncludesNormal=true, bool InFieldIsInPhysSpace=false)
	Calculate weak DG Diffusion in the LDG form. 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	ScanForHistoryPoints ()
	Builds map of which element holds each history point. More...

SOLVER_UTILS_EXPORT void	WriteHistoryData (std::ostream &out)
	Probe each history point and write to 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	GetNumElmVelocity ()

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	SetStepsToOne ()

SOLVER_UTILS_EXPORT void	ZeroPhysFields ()

SOLVER_UTILS_EXPORT void	FwdTransFields ()

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

SOLVER_UTILS_EXPORT void	GetFluxVector (const int i, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &fluxX, Array< OneD, Array< OneD, NekDouble > > &fluxY)

SOLVER_UTILS_EXPORT void	GetFluxVector (const int i, const int j, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &flux)

SOLVER_UTILS_EXPORT void	NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numflux)

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

SOLVER_UTILS_EXPORT void	NumFluxforScalar (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &uflux)

SOLVER_UTILS_EXPORT void	NumFluxforVector (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &qfield, Array< OneD, Array< OneD, NekDouble > > &qflux)

SOLVER_UTILS_EXPORT void	SetModifiedBasis (const bool modbasis)

SOLVER_UTILS_EXPORT int	NoCaseStringCompare (const string &s1, const string &s2)
	Perform a case-insensitive string comparison. 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)
	Creates an instance of this class. More...

Static Public Member Functions inherited from Nektar::ShallowWaterSystem
static SolverUtils::EquationSystemSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession)
	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...

Protected Member Functions
	LinearSWE (const LibUtilities::SessionReaderSharedPtr &pSession)

virtual void	v_InitObject ()
	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)
	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)
	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 void	v_NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numflux)

virtual SOLVER_UTILS_EXPORT void	v_NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numfluxX, Array< OneD, Array< OneD, NekDouble > > &numfluxY)

virtual SOLVER_UTILS_EXPORT void	v_NumFluxforScalar (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &uflux)

virtual SOLVER_UTILS_EXPORT void	v_NumFluxforVector (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &qfield, Array< OneD, Array< OneD, NekDouble > > &qflux)

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_SteadyStateCheck (int step)

SOLVER_UTILS_EXPORT void	CheckForRestartTime (NekDouble &time)

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

int	nocase_cmp (const string &s1, const string &s2)

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

SOLVER_UTILS_EXPORT void	SetUpBaseFields (SpatialDomains::MeshGraphSharedPtr &mesh)

SOLVER_UTILS_EXPORT void	ImportFldBase (std::string pInfile, SpatialDomains::MeshGraphSharedPtr pGraph)

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...

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

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

LibUtilities::TimeIntegrationSolutionSharedPtr	m_intSoln

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...

std::vector< int >	m_intVariables

std::vector< FilterSharedPtr >	m_filters

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

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

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

map< std::string, Array< OneD, Array< OneD, float > > >	m_interpWeights
	Map of the interpolation weights for a specific filename. More...

map< std::string, Array< OneD, Array< OneD, unsigned int > > >	m_interpInds
	Map of the interpolation indices for a specific filename. More...

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

Array< OneD, MultiRegions::ExpListSharedPtr >	m_base
	Base fields. More...

Array< OneD, MultiRegions::ExpListSharedPtr >	m_derivedfields
	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...

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...

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, Array< OneD, Array< OneD, NekDouble > > >	m_gradtan
	1 x nvariable x nq More...

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_tanbasis
	2 x m_spacedim x nq 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...

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...

int	m_NumMode
	Mode to use in case of single mode analysis. 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 > > &physarray)

void	WallBoundary (int bcRegion, int cnt, 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...

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

Detailed Description

Definition at line 50 of file LinearSWE.h.

Constructor & Destructor Documentation

Nektar::LinearSWE::~LinearSWE ( )

virtual

Definition at line 166 of file LinearSWE.cpp.

   {
     
   }

Nektar::LinearSWE::LinearSWE ( const LibUtilities::SessionReaderSharedPtr & pSession )

protected

Definition at line 50 of file LinearSWE.cpp.

     : ShallowWaterSystem(pSession)
   {
   }

Member Function Documentation

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

private

Definition at line 172 of file LinearSWE.cpp.

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().

   {
     
     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;
       }
 
 
   }

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

private

Definition at line 582 of file LinearSWE.cpp.

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

   {
     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);
       }
   }

static SolverUtils::EquationSystemSharedPtr Nektar::LinearSWE::create ( const LibUtilities::SessionReaderSharedPtr & pSession )

inlinestatic

Creates an instance of this class.

Definition at line 56 of file LinearSWE.h.

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

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

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 326 of file LinearSWE.cpp.

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(), and Vmath::Vcopy().

Referenced by v_InitObject().

   {
     int i;
     int nvariables = inarray.num_elements();
    
     
     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());
       
       for(i = 0; i < nvariables; ++i)
           {
               m_fields[i]->FwdTrans(inarray[i],coeffs);
           m_fields[i]->BwdTrans_IterPerExp(coeffs,outarray[i]);
           }
       break;
     }
       default:
     ASSERTL0(false,"Unknown projection scheme");
     break;
       }
   }

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 223 of file LinearSWE.cpp.

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().

   {
     int i, j;
     int ndim       = m_spacedim;
     int nvariables = inarray.num_elements();
     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.num_elements() != 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.num_elements() != 0)
         {
           AddCoriolis(inarray,outarray);
         }
       //------------------------------------------------- 
     }
     break;
       default:
     ASSERTL0(false,"Unknown projection scheme for the NonlinearSWE");
     break;
       }
   }

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

inlineprotected

Definition at line 100 of file LinearSWE.h.

References m_dBwd.

Referenced by v_InitObject().

         {
             return m_dBwd;
         }

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

inlineprotected

Definition at line 96 of file LinearSWE.h.

References m_dFwd.

Referenced by v_InitObject().

         {
             return m_dFwd;
         }

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

protected

Definition at line 548 of file LinearSWE.cpp.

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().

   {
     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);
        }
 
   }

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 699 of file LinearSWE.cpp.

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

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

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

private

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

private

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

private

Definition at line 635 of file LinearSWE.cpp.

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

   {
     
     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);
     
       }
      
   }

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

private

Definition at line 371 of file LinearSWE.cpp.

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

Referenced by DoOdeProjection().

   { 
       std::string varName;
       int nvariables = m_fields.num_elements();
       int cnt = 0;
 
       // loop over Boundary Regions
       for(int n = 0; n < m_fields[0]->GetBndConditions().num_elements(); ++n)
       { 
           // Wall Boundary Condition
           if (boost::iequals(m_fields[0]->GetBndConditions()[n]->GetUserDefined(),"Wall"))
           {
               WallBoundary2D(n, cnt, 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();
       }
   }

void Nektar::LinearSWE::v_ConservativeToPrimitive ( )

protectedvirtual

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 621 of file LinearSWE.cpp.

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

   {
     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);
   }

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

protectedvirtual

Print a summary of time stepping parameters.

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 712 of file LinearSWE.cpp.

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

     {
         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]");
     }

void Nektar::LinearSWE::v_InitObject ( )

protectedvirtual

Init object for UnsteadySystem class.

Initialization object for UnsteadySystem class.

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 56 of file LinearSWE.cpp.

   {
       ShallowWaterSystem::v_InitObject();
       
     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);
          
           // 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;
     }
       }
     
 
   }

void Nektar::LinearSWE::v_PrimitiveToConservative ( )

protectedvirtual

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 677 of file LinearSWE.cpp.

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

   {
     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);
   }

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

private

Wall boundary condition.

Definition at line 405 of file LinearSWE.cpp.

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

     { 
         int i;
         int nTracePts = GetTraceTotPoints();
         int nvariables      = physarray.num_elements();
         
         // get physical values of the forward trace
         Array<OneD, Array<OneD, NekDouble> > Fwd(nvariables);
         for (i = 0; i < nvariables; ++i)
         {
             Fwd[i] = Array<OneD, NekDouble>(nTracePts);
             m_fields[i]->ExtractTracePhys(physarray[i], Fwd[i]);
         }
         
         // 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()->
                                     GetBndCondCoeffsToGlobalCoeffsMap(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);
             }
         }
     }

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

private

Definition at line 474 of file LinearSWE.cpp.

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

Referenced by SetBoundaryConditions().

   { 
 
     int i;
     int nTraceNumPoints = GetTraceTotPoints();
     int nvariables      = physarray.num_elements();
     
     // get physical values of the forward trace
     Array<OneD, Array<OneD, NekDouble> > Fwd(nvariables);
     for (i = 0; i < nvariables; ++i)
       {
     Fwd[i] = Array<OneD, NekDouble>(nTraceNumPoints);
     m_fields[i]->ExtractTracePhys(physarray[i],Fwd[i]);
       }
     
     // 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()->GetBndCondCoeffsToGlobalCoeffsMap(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);
       }
       }
   }

Friends And Related Function Documentation

friend class MemoryManager< LinearSWE >

friend

Definition at line 53 of file LinearSWE.h.

Member Data Documentation

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.

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

protected

Definition at line 76 of file LinearSWE.h.

Referenced by GetDepthBwd(), and v_InitObject().

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

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Detailed Description

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