#include <NonlinearSWE.h>

Inheritance diagram for Nektar::NonlinearSWE:

Collaboration diagram for Nektar::NonlinearSWE:

Public Member Functions
virtual	~NonlinearSWE ()
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
	NonlinearSWE (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 ()
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)

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	AddVariableDepth (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< NonlinearSWE >

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...
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

Detailed Description

Definition at line 50 of file NonlinearSWE.h.

Constructor & Destructor Documentation

Nektar::NonlinearSWE::~NonlinearSWE ( )

virtual

Definition at line 152 of file NonlinearSWE.cpp.

  {
    
  }

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

protected

Definition at line 50 of file NonlinearSWE.cpp.

    : ShallowWaterSystem(pSession)
  {
  }

Member Function Documentation

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

private

Definition at line 158 of file NonlinearSWE.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 hu 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 hv 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 hu 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 hv 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::NonlinearSWE::AddVariableDepth	(	const Array< OneD, const Array< OneD, NekDouble > > &	physarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray
	)

private

Definition at line 211 of file NonlinearSWE.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_bottomSlope, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::ShallowWaterSystem::m_g, Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::SolverUtils::EquationSystem::m_spacedim, Vmath::Smul(), 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:
    {     
      for (int i = 0; i < m_spacedim; ++i)
        {
          Vmath::Vmul(nq,m_bottomSlope[i],1,physarray[0],1,tmp,1);
          Vmath::Smul(nq,m_g,tmp,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[i+1],1,outarray[i+1],1);
        }
    }
    break;
      case MultiRegions::eGalerkin:
      case MultiRegions::eMixed_CG_Discontinuous:
    {
     for (int i = 0; i < m_spacedim; ++i)
        {
          Vmath::Vmul(nq,m_bottomSlope[i],1,physarray[0],1,tmp,1);
          Vmath::Smul(nq,m_g,tmp,1,tmp,1);
          Vmath::Vadd(nq,tmp,1,outarray[i+1],1,outarray[i+1],1);
        }
    }
    break;
      default:
    ASSERTL0(false,"Unknown projection scheme for the NonlinearSWE");
    break;
      }
  }

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

private

Definition at line 633 of file NonlinearSWE.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::NonlinearSWE::create ( const LibUtilities::SessionReaderSharedPtr & pSession )

inlinestatic

Creates an instance of this class.

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 56 of file NonlinearSWE.h.

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

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

protected

Definition at line 369 of file NonlinearSWE.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::NonlinearSWE::DoOdeRhs	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray,
		const NekDouble	time
	)

protected

Definition at line 255 of file NonlinearSWE.cpp.

References AddCoriolis(), AddVariableDepth(), 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_constantDepth, 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);
        }
      // Variable Depth
      if (m_constantDepth != true)
        {
          AddVariableDepth(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);
                }
            }
      
      NonlinearSWE::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);
        }
      // Variable Depth
      if (m_constantDepth != true)
        {
          AddVariableDepth(inarray,outarray);
        }
      //------------------------------------------------- 
    }
    break;
      default:
    ASSERTL0(false,"Unknown projection scheme for the NonlinearSWE");
    break;
      }
  }

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

protected

Definition at line 594 of file NonlinearSWE.cpp.

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

Referenced by DoOdeRhs(), and v_InitObject().

  {
    int i, j;
    int nq = m_fields[0]->GetTotPoints();
    
    NekDouble g = m_g;
    Array<OneD, Array<OneD, NekDouble> > velocity(m_spacedim);
    // Flux vector for the mass equation
    for (i = 0; i < m_spacedim; ++i)
      {
    velocity[i] = Array<OneD, NekDouble>(nq);
    Vmath::Vcopy(nq, physfield[i+1], 1, flux[0][i], 1);
      }
    
     GetVelocityVector(physfield, velocity);
     
     // Put (0.5 g h h) in tmp
     Array<OneD, NekDouble> tmp(nq);
     Vmath::Vmul(nq, physfield[0], 1, physfield[0], 1, tmp, 1);
     Vmath::Smul(nq, 0.5*g, tmp, 1, tmp, 1);
     
     // Flux vector for the momentum equations
     for (i = 0; i < m_spacedim; ++i)
       {
     for (j = 0; j < m_spacedim; ++j)
       {
         Vmath::Vmul(nq, velocity[j], 1, physfield[i+1], 1,
             flux[i+1][j], 1);
       }
            
     // Add (0.5 g h h) to appropriate field
     Vmath::Vadd(nq, flux[i+1][i], 1, tmp, 1, flux[i+1][i], 1);
       }
  }

void Nektar::NonlinearSWE::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	Momentum field.
velocity	Velocity field.

Definition at line 750 of file NonlinearSWE.cpp.

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

Referenced by GetFluxVector().

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

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

private

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

private

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

private

Definition at line 686 of file NonlinearSWE.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::NonlinearSWE::SetBoundaryConditions	(	Array< OneD, Array< OneD, NekDouble > > &	physarray,
		NekDouble	time
	)

private

Definition at line 414 of file NonlinearSWE.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::NonlinearSWE::v_ConservativeToPrimitive ( )

protectedvirtual

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 672 of file NonlinearSWE.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::NonlinearSWE::v_GenerateSummary ( SolverUtils::SummaryList & s )

protectedvirtual

Print a summary of time stepping parameters.

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 764 of file NonlinearSWE.cpp.

References Nektar::SolverUtils::AddSummaryItem().

    {
        ShallowWaterSystem::v_GenerateSummary(s);
        SolverUtils::AddSummaryItem(s, "Variables", "h  should be in field[0]");
        SolverUtils::AddSummaryItem(s, "",          "hu should be in field[1]");
        SolverUtils::AddSummaryItem(s, "",          "hv should be in field[2]");
    }

void Nektar::NonlinearSWE::v_InitObject ( )

protectedvirtual

Init object for UnsteadySystem class.

Initialization object for UnsteadySystem class.

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 56 of file NonlinearSWE.cpp.

References ASSERTL0, Nektar::LibUtilities::NekFactory< tKey, tBase, >::CreateInstance(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineOdeRhs(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineProjection(), DoOdeProjection(), DoOdeRhs(), Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::SolverUtils::GetAdvectionFactory(), Nektar::ShallowWaterSystem::GetDepth(), GetFluxVector(), Nektar::ShallowWaterSystem::GetGravity(), Nektar::ShallowWaterSystem::GetNormals(), Nektar::SolverUtils::GetRiemannSolverFactory(), Nektar::ShallowWaterSystem::GetVecLocs(), Nektar::ShallowWaterSystem::m_advection, Nektar::SolverUtils::UnsteadySystem::m_explicitAdvection, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::UnsteadySystem::m_ode, Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::ShallowWaterSystem::m_riemannSolver, and Nektar::SolverUtils::EquationSystem::m_session.

  {
      ShallowWaterSystem::v_InitObject();
      
    if (m_explicitAdvection)
      {
    m_ode.DefineOdeRhs     (&NonlinearSWE::DoOdeRhs,        this);
    m_ode.DefineProjection (&NonlinearSWE::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(&NonlinearSWE::GetFluxVector, this);
      // m_diffusion->SetFluxVectorNS(&ShallowWaterSystem::
      //                                  GetEddyViscosityFluxVector, this); 
         
      // Setting up Riemann solver for advection operator
      m_session->LoadSolverInfo("UpwindType", riemName, "Average");
      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",  
                                     &NonlinearSWE::GetGravity,   this);
      m_riemannSolver->SetAuxVec(
                                     "vecLocs",
                                     &NonlinearSWE::GetVecLocs,  this);
      m_riemannSolver->SetVector(
                     "N",
                     &NonlinearSWE::GetNormals, this);
      m_riemannSolver->SetScalar(
                     "depth",
                     &NonlinearSWE::GetDepth, 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::NonlinearSWE::v_PrimitiveToConservative ( )

protectedvirtual

Reimplemented from Nektar::ShallowWaterSystem.

Definition at line 728 of file NonlinearSWE.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::NonlinearSWE::WallBoundary	(	int	bcRegion,
		int	cnt,
		Array< OneD, Array< OneD, NekDouble > > &	physarray
	)

private

Wall boundary condition.

Definition at line 451 of file NonlinearSWE.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::NonlinearSWE::WallBoundary2D	(	int	bcRegion,
		int	cnt,
		Array< OneD, Array< OneD, NekDouble > > &	physarray
	)

private

Definition at line 520 of file NonlinearSWE.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< NonlinearSWE >

friend

Definition at line 53 of file NonlinearSWE.h.

Member Data Documentation

string Nektar::NonlinearSWE::className

static

Initial value:

 
     SolverUtils::GetEquationSystemFactory().RegisterCreatorFunction(
      "NonlinearSWE", NonlinearSWE::create, 
          "Nonlinear shallow water equation in conservative variables.")

Name of class.

Definition at line 64 of file NonlinearSWE.h.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Private Member Functions

Friends

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Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation