#include <APE.h>

Inheritance diagram for Nektar::APE:

Collaboration diagram for Nektar::APE:

Public Member Functions
virtual	~APE ()
	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.
template<class T >
boost::shared_ptr< T >	as ()
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	Checkpoint_BaseFlow (const int n)
	Write base flow file of m_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 EquationSystemSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession)
	Creates an instance of this class.

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

Protected Member Functions
	APE (const LibUtilities::SessionReaderSharedPtr &pSession)
	Initialises UnsteadySystem class members.
virtual void	v_InitObject ()
	Initialization object for the APE class.
virtual void	v_DoInitialise ()
	Sets up initial conditions.
void	DoOdeRhs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Compute the right-hand side.
void	DoOdeProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Compute the projection and call the method for imposing the boundary conditions in case of discontinuous projection.
void	GetFluxVector (const Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &flux)
	Return the flux vector for the APE equations.
void	AddSource (Array< OneD, Array< OneD, NekDouble > > &outarray)
	sourceterm for p' equation obtained from GetSource
virtual void	v_ExtraFldOutput (std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
const Array< OneD, const Array < OneD, NekDouble > > &	GetNormals ()
	Get the normal vectors.
const Array< OneD, const Array < OneD, NekDouble > > &	GetVecLocs ()
	Get the locations of the components of the directed fields within the fields array.
const Array< OneD, const Array < OneD, NekDouble > > &	GetBasefield ()
	Get the baseflow field.
NekDouble	GetGamma ()
	Get the heat capacity ratio.
NekDouble	GetRho ()
	Get the density.
void	UpdateBasefield ()
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_GenerateSummary (SummaryList &s)
	Print a summary of time stepping parameters.
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)

Protected Attributes
SolverUtils::AdvectionSharedPtr	m_advection
SolverUtils::RiemannSolverSharedPtr	m_riemannSolver
Array< OneD, Array< OneD, NekDouble > >	m_traceBasefield
Array< OneD, Array< OneD, NekDouble > >	m_vecLocs
NekDouble	m_Rho0
	Constant incompressible density (APE)
NekDouble	m_gamma
	Isentropic coefficient, Ratio of specific heats (APE)
Array< OneD, Array< OneD, NekDouble > >	m_basefield
std::vector< std::string >	m_basefield_names
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_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	SetBoundaryConditions (Array< OneD, Array< OneD, NekDouble > > &physarray, NekDouble time)
	Apply the Boundary Conditions to the APE equations.
void	WallBC (int bcRegion, int cnt, Array< OneD, Array< OneD, NekDouble > > &physarray)
	Wall boundary conditions for the APE equations.

Friends
class	MemoryManager< APE >

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 49 of file APE.h.

Constructor & Destructor Documentation

Nektar::APE::~APE ( )

virtual

Destructor.

Destructor for APE class.

Definition at line 143 of file APE.cpp.

{
    
}

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

protected

Initialises UnsteadySystem class members.

Definition at line 49 of file APE.cpp.

    : UnsteadySystem(pSession)
{
}

Member Function Documentation

void Nektar::APE::AddSource ( Array< OneD, Array< OneD, NekDouble > > & outarray )

protected

sourceterm for p' equation obtained from GetSource

Definition at line 376 of file APE.cpp.

References Nektar::SolverUtils::EquationSystem::EvaluateFunction(), Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_time, and Vmath::Vadd().

Referenced by DoOdeRhs().

{
    int nCoeffs = m_fields[0]->GetNcoeffs();
    int nTotPoints = GetTotPoints();
    Array<OneD, NekDouble> sourceP(nTotPoints);
    Array<OneD, NekDouble> sourceC(nCoeffs);
    EvaluateFunction("S", sourceP, "Source", m_time);
    m_fields[0]->IProductWRTBase(sourceP, sourceC);
    m_fields[0]->MultiplyByElmtInvMass(sourceC, sourceC);
    m_fields[0]->BwdTrans(sourceC, sourceP);
    Vmath::Vadd(nTotPoints, sourceP, 1, outarray[0], 1, outarray[0], 1);
}

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

inlinestatic

Creates an instance of this class.

Definition at line 56 of file APE.h.

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

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

protected

Compute the projection and call the method for imposing the boundary conditions in case of discontinuous projection.

Definition at line 255 of file APE.cpp.

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

Referenced by v_InitObject().

{
    int nvariables = inarray.num_elements();
    int nq = m_fields[0]->GetNpoints();
    // deep copy
    for (int i = 0; i < nvariables; ++i)
    {
        Vmath::Vcopy(nq, inarray[i], 1, outarray[i], 1);
    }
    SetBoundaryConditions(outarray, time);
}

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

protected

Compute the right-hand side.

Definition at line 231 of file APE.cpp.

References AddSource(), Nektar::SolverUtils::EquationSystem::GetTotPoints(), m_advection, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_spacedim, and Vmath::Neg().

Referenced by v_InitObject().

{
    int nVariables = inarray.num_elements();
    int nq         = GetTotPoints();
    // WeakDG does not use advVel, so we only provide a dummy array
    Array<OneD, Array<OneD, NekDouble> > advVel(m_spacedim);
    m_advection->Advect(nVariables, m_fields, advVel, inarray, outarray, time);
    for (int i = 0; i < nVariables; ++i)
    {
        Vmath::Neg(nq, outarray[i], 1);
    }
    AddSource(outarray);
}

const Array< OneD, const Array< OneD, NekDouble > > & Nektar::APE::GetBasefield ( )

protected

Get the baseflow field.

Definition at line 434 of file APE.cpp.

References m_basefield, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_spacedim, and m_traceBasefield.

Referenced by v_InitObject().

{
    for (int i = 0; i < m_spacedim +1; i++)
    {
        m_fields[0]->ExtractTracePhys(m_basefield[i], m_traceBasefield[i]);
    }
    return m_traceBasefield;
}

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

protected

Return the flux vector for the APE equations.

Parameters

physfield	Fields.
flux	Resulting flux. flux[eq][dir][pt]

Definition at line 164 of file APE.cpp.

References ASSERTL1, m_basefield, m_gamma, m_Rho0, Nektar::SolverUtils::EquationSystem::m_spacedim, Vmath::Smul(), UpdateBasefield(), Vmath::Vadd(), Vmath::Vmul(), and Vmath::Zero().

Referenced by v_InitObject().

{
    UpdateBasefield();
    for (int i = 0; i < flux.num_elements(); ++i)
    {
        ASSERTL1(flux[i].num_elements() == m_spacedim,
                "Dimension of flux array and velocity array do not match");
        int nq = physfield[0].num_elements();
        NekDouble tmp0 = 0.0;
        Array<OneD, NekDouble> tmp1(nq);
        Array<OneD, NekDouble> tmp2(nq);
        if (i == 0)
        {
            // F_{adv,p',j} = \gamma p_0 u'_j + p' \bar{u}_j
            for (int j = 0; j < m_spacedim; ++j)
            {
                Vmath::Zero(nq, flux[i][j], 1);
                // construct \gamma p_0 u'_j term
                Vmath::Smul(nq, m_gamma, m_basefield[0], 1, tmp1, 1);
                Vmath::Vmul(nq, tmp1, 1, physfield[j+1], 1, tmp1, 1);
                // construct p' \bar{u}_j term
                Vmath::Vmul(nq, physfield[0], 1, m_basefield[j+1], 1, tmp2, 1);
                // add both terms
                Vmath::Vadd(nq, tmp1, 1, tmp2, 1, flux[i][j], 1);
            }
        }
        else
        {
            // F_{adv,u'_i,j} = (p'/ rho + \bar{u}_k u'_k) \delta_{ij}
            for (int j = 0; j < m_spacedim; ++j)
            {
                Vmath::Zero(nq, flux[i][j], 1);
                if (i-1 == j)
                {
                    // contruct p'/ rho term
                    tmp0 = 1 / m_Rho0;
                    Vmath::Smul(nq, tmp0, physfield[0], 1, flux[i][j], 1);
                    // construct \bar{u}_k u'_k term
                    Vmath::Zero(nq, tmp1, 1);
                    for (int k = 0; k < m_spacedim; ++k)
                    {
                        Vmath::Vmul(nq, physfield[k+1], 1, m_basefield[k+1], 1, tmp2, 1);
                        Vmath::Vadd(nq, tmp1, 1, tmp2, 1, tmp1, 1);
                    }
                    // add terms
                    Vmath::Vadd(nq, flux[i][j], 1, tmp1, 1, flux[i][j], 1);
                }
            }
        }
    }
}

NekDouble Nektar::APE::GetGamma ( )

protected

Get the heat capacity ratio.

Definition at line 447 of file APE.cpp.

References m_gamma.

Referenced by v_InitObject().

{
    return m_gamma;
}

const Array< OneD, const Array< OneD, NekDouble > > & Nektar::APE::GetNormals ( )

protected

Get the normal vectors.

Definition at line 416 of file APE.cpp.

References Nektar::SolverUtils::EquationSystem::m_traceNormals.

Referenced by v_InitObject().

{
    return m_traceNormals;
}

NekDouble Nektar::APE::GetRho ( )

protected

Get the density.

Definition at line 456 of file APE.cpp.

References m_Rho0.

Referenced by v_InitObject().

{
    return m_Rho0;
}

const Array< OneD, const Array< OneD, NekDouble > > & Nektar::APE::GetVecLocs ( )

protected

Get the locations of the components of the directed fields within the fields array.

Definition at line 425 of file APE.cpp.

References m_vecLocs.

Referenced by v_InitObject().

{
    return m_vecLocs;
}

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

private

Apply the Boundary Conditions to the APE equations.

Definition at line 275 of file APE.cpp.

References Nektar::SpatialDomains::eTimeDependent, Nektar::SpatialDomains::eWall, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_session, and WallBC().

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)
        {
            WallBC(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::APE::UpdateBasefield ( )

protected

Definition at line 461 of file APE.cpp.

References ASSERTL0, Nektar::SolverUtils::EquationSystem::EvaluateFunction(), m_basefield, m_basefield_names, Nektar::SolverUtils::EquationSystem::m_time, and Vmath::Vmin().

Referenced by GetFluxVector(), and v_ExtraFldOutput().

{
    static NekDouble last_update = -1.0;
    if (m_time > last_update)
    {
        EvaluateFunction(m_basefield_names, m_basefield, "Baseflow");
        //  some sanity chacks for the basefield
        ASSERTL0(Vmath::Vmin(m_basefield[0].num_elements(), m_basefield[0], 1) >= 0.0, "Basefield contains negative pressures");
        last_update = m_time;
    }
}

void Nektar::APE::v_DoInitialise ( void )

protectedvirtual

Sets up initial conditions.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 152 of file APE.cpp.

References Nektar::SolverUtils::EquationSystem::SetInitialConditions().

{
    SetInitialConditions();
}

void Nektar::APE::v_ExtraFldOutput	(	std::vector< Array< OneD, NekDouble > > &	fieldcoeffs,
		std::vector< std::string > &	variables
	)

protectedvirtual

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 394 of file APE.cpp.

References m_basefield, m_basefield_names, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_spacedim, and UpdateBasefield().

{
    UpdateBasefield();
    const int nCoeffs = m_fields[0]->GetNcoeffs();
    for (int i = 0; i < m_spacedim + 1; i++)
    {
        variables.push_back(m_basefield_names[i]);
        Array<OneD, NekDouble> tmpFwd(nCoeffs);
        m_fields[0]->FwdTrans(m_basefield[i], tmpFwd);
        fieldcoeffs.push_back(tmpFwd);
    }
}

void Nektar::APE::v_InitObject ( )

protectedvirtual

Initialization object for the APE class.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 59 of file APE.cpp.

{
    UnsteadySystem::v_InitObject();
    // TODO: We have a bug somewhere in the 1D boundary conditions. Therefore 1D
    // problems are currently disabled. This should get fixed in the future.
    ASSERTL0(m_spacedim > 1, "1D problems currently not supported by the APE class.");
    ASSERTL0(m_projectionType == MultiRegions::eDiscontinuous,
             "Only Projection=DisContinuous supported by the APE class.");
    // Load constant incompressible density
    m_session->LoadParameter("Rho0", m_Rho0, 1.204);
    // Load isentropic coefficient, Ratio of specific heats
    m_session->LoadParameter("Gamma", m_gamma, 1.4);
    // Define Baseflow fields
    m_basefield = Array<OneD, Array<OneD, NekDouble> >(m_spacedim + 1);
    m_basefield_names.push_back("P0");
    m_basefield_names.push_back("U0");
    m_basefield_names.push_back("V0");
    m_basefield_names.push_back("W0");
    // Resize the advection velocities vector to dimension of the problem
    m_basefield_names.resize(m_spacedim + 1);
    // Do not forwards transform initial condition
    m_homoInitialFwd = false;
    // Define the normal velocity fields
    if (m_fields[0]->GetTrace())
    {
        m_traceBasefield = Array<OneD, Array<OneD, NekDouble> > (m_spacedim + 1);
        for (int i = 0; i < m_spacedim + 1; i++)
        {
            m_traceBasefield[i] = Array<OneD, NekDouble>(GetTraceNpoints());
        }
    }
    // Set up locations of velocity and base velocity vectors.
    m_vecLocs = Array<OneD, Array<OneD, NekDouble> >(1);
    m_vecLocs[0] = Array<OneD, NekDouble>(m_spacedim);
    for (int i = 0; i < m_spacedim; ++i)
    {
        // u', v', w'
        m_vecLocs[0][i] = 1 + i;
    }
    string riemName;
    m_session->LoadSolverInfo("UpwindType", riemName, "APEUpwind");
    m_riemannSolver = SolverUtils::GetRiemannSolverFactory().CreateInstance(
                          riemName);
    m_riemannSolver->SetVector("N",         &APE::GetNormals,   this);
    m_riemannSolver->SetVector("basefield", &APE::GetBasefield, this);
    m_riemannSolver->SetAuxVec("vecLocs",   &APE::GetVecLocs,   this);
    m_riemannSolver->SetParam("Gamma",     &APE::GetGamma,     this);
    m_riemannSolver->SetParam("Rho",       &APE::GetRho,       this);
    // Set up advection operator
    string advName;
    m_session->LoadSolverInfo("AdvectionType", advName, "WeakDG");
    m_advection = SolverUtils::GetAdvectionFactory()
                  .CreateInstance(advName, advName);
    m_advection->SetFluxVector(&APE::GetFluxVector, this);
    m_advection->SetRiemannSolver(m_riemannSolver);
    m_advection->InitObject(m_session, m_fields);
    if (m_explicitAdvection)
    {
        m_ode.DefineOdeRhs(&APE::DoOdeRhs,        this);
        m_ode.DefineProjection(&APE::DoOdeProjection, this);
    }
    else
    {
        ASSERTL0(false, "Implicit APE not set up.");
    }
}

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

private

Wall boundary conditions for the APE equations.

Definition at line 308 of file APE.cpp.

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

Referenced by SetBoundaryConditions().

{
    int nTracePts = GetTraceTotPoints();
    int nVariables = physarray.num_elements();
    const Array<OneD, const int> &traceBndMap = m_fields[0]->GetTraceBndMap();
    // Get physical values of the forward trace
    Array<OneD, Array<OneD, NekDouble> > Fwd(nVariables);
    for (int 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 id1, id2, nBCEdgePts;
    int eMax = m_fields[0]->GetBndCondExpansions()[bcRegion]->GetExpSize();
    for (int e = 0; e < eMax; ++e)
    {
        nBCEdgePts = m_fields[0]->GetBndCondExpansions()[bcRegion]->
                GetExp(e)->GetTotPoints();
        id1 = m_fields[0]->GetBndCondExpansions()[bcRegion]->GetPhys_Offset(e);
        id2 = m_fields[0]->GetTrace()->GetPhys_Offset(traceBndMap[cnt+e]);
        // For 2D/3D, define: v* = v - 2(v.n)n
        Array<OneD, NekDouble> tmp(nBCEdgePts, 0.0);
        // Calculate (v.n)
        for (int i = 0; i < m_spacedim; ++i)
        {
            Vmath::Vvtvp(nBCEdgePts,
                         &Fwd[1+i][id2], 1,
                         &m_traceNormals[i][id2], 1,
                         &tmp[0], 1,
                         &tmp[0], 1);
        }
        // Calculate 2.0(v.n)
        Vmath::Smul(nBCEdgePts, -2.0, &tmp[0], 1, &tmp[0], 1);
        // Calculate v* = v - 2.0(v.n)n
        for (int i = 0; i < m_spacedim; ++i)
        {
            Vmath::Vvtvp(nBCEdgePts,
                         &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 (int i = 0; i < nVariables; ++i)
        {
            Vmath::Vcopy(nBCEdgePts,
                         &Fwd[i][id2], 1,
                         &(m_fields[i]->GetBndCondExpansions()[bcRegion]->UpdatePhys())[id1], 1);
        }
    }
}

Friends And Related Function Documentation

friend class MemoryManager< APE >

friend

Definition at line 53 of file APE.h.

Member Data Documentation

string Nektar::APE::className

static

Initial value:

 GetEquationSystemFactory().RegisterCreatorFunction(
            "APE", APE::create,
            "Acoustic perturbation equations in conservative variables.")

Name of class.

Definition at line 64 of file APE.h.

SolverUtils::AdvectionSharedPtr Nektar::APE::m_advection

protected

Definition at line 72 of file APE.h.

Referenced by DoOdeRhs(), and v_InitObject().