#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.
Public Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
virtual SOLVER_UTILS_EXPORT	~UnsteadySystem ()
	Destructor.
SOLVER_UTILS_EXPORT NekDouble	GetTimeStep (const Array< OneD, const Array< OneD, NekDouble > > &inarray)
	Calculate the larger time-step mantaining the problem stable.
Public Member Functions inherited from Nektar::SolverUtils::EquationSystem
virtual SOLVER_UTILS_EXPORT	~EquationSystem ()
	Destructor.
SOLVER_UTILS_EXPORT void	SetUpTraceNormals (void)
SOLVER_UTILS_EXPORT void	InitObject ()
	Initialises the members of this object.
SOLVER_UTILS_EXPORT void	DoInitialise ()
	Perform any initialisation necessary before solving the problem.
SOLVER_UTILS_EXPORT void	DoSolve ()
	Solve the problem.
SOLVER_UTILS_EXPORT void	TransCoeffToPhys ()
	Transform from coefficient to physical space.
SOLVER_UTILS_EXPORT void	TransPhysToCoeff ()
	Transform from physical to coefficient space.
SOLVER_UTILS_EXPORT void	Output ()
	Perform output operations after solve.
SOLVER_UTILS_EXPORT NekDouble	LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Linf error computation.
SOLVER_UTILS_EXPORT std::string	GetSessionName ()
	Get Session name.
SOLVER_UTILS_EXPORT void	ResetSessionName (std::string newname)
	Reset Session name.
SOLVER_UTILS_EXPORT LibUtilities::SessionReaderSharedPtr	GetSession ()
	Get Session name.
SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	GetPressure ()
	Get pressure field if available.
SOLVER_UTILS_EXPORT void	PrintSummary (std::ostream &out)
	Print a summary of parameters and solver characteristics.
SOLVER_UTILS_EXPORT void	SetLambda (NekDouble lambda)
	Set parameter m_lambda.
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.
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.
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.
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.
SOLVER_UTILS_EXPORT void	InitialiseBaseFlow (Array< OneD, Array< OneD, NekDouble > > &base)
	Perform initialisation of the base flow.
SOLVER_UTILS_EXPORT void	SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)
	Initialise the data in the dependent fields.
SOLVER_UTILS_EXPORT void	EvaluateExactSolution (int field, Array< OneD, NekDouble > &outfield, const NekDouble time)
	Evaluates an exact solution.
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.
SOLVER_UTILS_EXPORT NekDouble	L2Error (unsigned int field, bool Normalised=false)
	Compute the L2 error of the fields.
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].
SOLVER_UTILS_EXPORT void	WeakAdvectionGreensDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\nabla \phi \cdot F)$ .
SOLVER_UTILS_EXPORT void	WeakAdvectionDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\phi, \nabla \cdot F)$ .
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 $(\phi, V\cdot \nabla u)$ .
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.
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.
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.
SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n)
	Write checkpoint file of m_fields.
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.
SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname)
	Write field data to the given filename.
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.
SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
	Input field data from the given file.
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.
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.
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.
SOLVER_UTILS_EXPORT void	ScanForHistoryPoints ()
	Builds map of which element holds each history point.
SOLVER_UTILS_EXPORT void	WriteHistoryData (std::ostream &out)
	Probe each history point and write to file.
SOLVER_UTILS_EXPORT void	SessionSummary (SummaryList &vSummary)
	Write out a session summary.
SOLVER_UTILS_EXPORT Array < OneD, MultiRegions::ExpListSharedPtr > &	UpdateFields ()
SOLVER_UTILS_EXPORT LibUtilities::FieldMetaDataMap &	UpdateFieldMetaDataMap ()
	Get hold of FieldInfoMap so it can be updated.
SOLVER_UTILS_EXPORT NekDouble	GetFinalTime ()
	Return final time.
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.

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

Static Public Attributes
static std::string	className
	Name of class.
Static Public Attributes inherited from Nektar::ShallowWaterSystem
static std::string	className
	Name of class.

Protected Member Functions
	LinearSWE (const LibUtilities::SessionReaderSharedPtr &pSession)
virtual void	v_InitObject ()
	Init object for UnsteadySystem class.
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.
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.
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.
SOLVER_UTILS_EXPORT NekDouble	MaxTimeStepEstimator ()
	Get the maximum timestep estimator for cfl control.
virtual SOLVER_UTILS_EXPORT void	v_DoSolve ()
	Solves an unsteady problem.
virtual SOLVER_UTILS_EXPORT void	v_DoInitialise ()
	Sets up initial conditions.
virtual SOLVER_UTILS_EXPORT void	v_AppendOutput1D (Array< OneD, Array< OneD, NekDouble > > &solution1D)
	Print the solution at each solution point in a txt file.
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.
virtual SOLVER_UTILS_EXPORT bool	v_PreIntegrate (int step)
virtual SOLVER_UTILS_EXPORT bool	v_PostIntegrate (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.
int	nocase_cmp (const string &s1, const string &s2)
SOLVER_UTILS_EXPORT void	SetBoundaryConditions (NekDouble time)
	Evaluates the boundary conditions at the given time.
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.
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.
virtual SOLVER_UTILS_EXPORT void	v_TransCoeffToPhys ()
	Virtual function for transformation to physical space.
virtual SOLVER_UTILS_EXPORT void	v_TransPhysToCoeff ()
	Virtual function for transformation to coefficient space.
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.
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.
bool	m_constantDepth
	Indicates if constant depth case.
NekDouble	m_g
	Acceleration of gravity.
Array< OneD, NekDouble >	m_depth
	Still water depth.
Array< OneD, Array< OneD, NekDouble > >	m_bottomSlope
Array< OneD, NekDouble >	m_coriolis
	Coriolis force.
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.
LibUtilities::TimeIntegrationWrapperSharedPtr	m_intScheme
	Wrapper to the time integration scheme.
LibUtilities::TimeIntegrationSchemeOperators	m_ode
	The time integration scheme operators to use.
LibUtilities::TimeIntegrationSolutionSharedPtr	m_intSoln
NekDouble	m_epsilon
bool	m_explicitDiffusion
	Indicates if explicit or implicit treatment of diffusion is used.
bool	m_explicitAdvection
	Indicates if explicit or implicit treatment of advection is used.
bool	m_explicitReaction
	Indicates if explicit or implicit treatment of reaction is used.
bool	m_homoInitialFwd
	Flag to determine if simulation should start in homogeneous forward transformed state.
std::vector< int >	m_intVariables
std::vector< FilterSharedPtr >	m_filters
Protected Attributes inherited from Nektar::SolverUtils::EquationSystem
LibUtilities::CommSharedPtr	m_comm
	Communicator.
LibUtilities::SessionReaderSharedPtr	m_session
	The session reader.
LibUtilities::FieldIOSharedPtr	m_fld
	Field input/output.
Array< OneD, MultiRegions::ExpListSharedPtr >	m_fields
	Array holding all dependent variables.
Array< OneD, MultiRegions::ExpListSharedPtr >	m_base
	Base fields.
Array< OneD, MultiRegions::ExpListSharedPtr >	m_derivedfields
	Array holding all dependent variables.
SpatialDomains::BoundaryConditionsSharedPtr	m_boundaryConditions
	Pointer to boundary conditions object.
SpatialDomains::MeshGraphSharedPtr	m_graph
	Pointer to graph defining mesh.
std::string	m_filename
	Filename.
std::string	m_sessionName
	Name of the session.
NekDouble	m_time
	Current time of simulation.
NekDouble	m_fintime
	Finish time of the simulation.
NekDouble	m_timestep
	Time step size.
NekDouble	m_lambda
	Lambda constant in real system if one required.
NekDouble	m_checktime
	Time between checkpoints.
int	m_steps
	Number of steps to take.
int	m_checksteps
	Number of steps between checkpoints.
int	m_spacedim
	Spatial dimension (>= expansion dim).
int	m_expdim
	Expansion dimension.
bool	m_SingleMode
	Flag to determine if single homogeneous mode is used.
bool	m_HalfMode
	Flag to determine if half homogeneous mode is used.
bool	m_MultipleModes
	Flag to determine if use multiple homogenenous modes are used.
bool	m_useFFT
	Flag to determine if FFT is used for homogeneous transform.
bool	m_homogen_dealiasing
	Flag to determine if dealiasing is used for homogeneous simulations.
bool	m_specHP_dealiasing
	Flag to determine if dealisising is usde for the Spectral/hp element discretisation.
enum MultiRegions::ProjectionType	m_projectionType
	Type of projection; e.g continuous or discontinuous.
Array< OneD, Array< OneD, NekDouble > >	m_traceNormals
	Array holding trace normals for DG simulations in the forwards direction.
Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_gradtan
	1 x nvariable x nq
Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_tanbasis
	2 x m_spacedim x nq
Array< OneD, bool >	m_checkIfSystemSingular
	Flag to indicate if the fields should be checked for singularity.
LibUtilities::FieldMetaDataMap	m_fieldMetaDataMap
	Map to identify relevant solver info to dump in output fields.
int	m_NumQuadPointsError
	Number of Quadrature points used to work out the error.
enum HomogeneousType	m_HomogeneousType
NekDouble	m_LhomX
	physical length in X direction (if homogeneous)
NekDouble	m_LhomY
	physical length in Y direction (if homogeneous)
NekDouble	m_LhomZ
	physical length in Z direction (if homogeneous)
int	m_npointsX
	number of points in X direction (if homogeneous)
int	m_npointsY
	number of points in Y direction (if homogeneous)
int	m_npointsZ
	number of points in Z direction (if homogeneous)
int	m_HomoDirec
	number of homogenous directions
int	m_NumMode
	Mode to use in case of single mode analysis.

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.
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 $h\mathbf{v}$ .

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).
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 583 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.

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 56 of file LinearSWE.h.

    {
      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 325 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);
      //-------------------------------------------------------
      
      
      //-------------------------------------------------------
      // 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 549 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 700 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 636 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 370 of file LinearSWE.cpp.

References Nektar::SpatialDomains::eTimeDependent, Nektar::SpatialDomains::eWall, 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 (m_fields[0]->GetBndConditions()[n]->GetUserDefined() == 
              SpatialDomains::eWall)
          {
              WallBoundary2D(n, cnt, inarray);
          }
    
          // Time Dependent Boundary Condition (specified in meshfile)
          if (m_fields[0]->GetBndConditions()[n]->GetUserDefined() == 
              SpatialDomains::eTimeDependent)
          {
              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 622 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 713 of file LinearSWE.cpp.

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

    {
        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 678 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 406 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 475 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().

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