#include <APE.h>

Inheritance diagram for Nektar::APE:

Public Member Functions
virtual	~APE ()
	Destructor. More...

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

Public Member Functions inherited from Nektar::SolverUtils::AdvectionSystem
SOLVER_UTILS_EXPORT	AdvectionSystem (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)

virtual SOLVER_UTILS_EXPORT	~AdvectionSystem ()

SOLVER_UTILS_EXPORT AdvectionSharedPtr	GetAdvObject ()
	Returns the advection object held by this instance. More...

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	GetElmtCFLVals (void)

SOLVER_UTILS_EXPORT NekDouble	GetCFLEstimate (int &elmtid)

Public Member Functions inherited from Nektar::SolverUtils::UnsteadySystem
virtual SOLVER_UTILS_EXPORT	~UnsteadySystem ()
	Destructor. More...

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep (const Array< OneD, const Array< OneD, NekDouble >> &inarray)
	Calculate the larger time-step mantaining the problem stable. More...

Public Member Functions inherited from Nektar::SolverUtils::EquationSystem
virtual SOLVER_UTILS_EXPORT	~EquationSystem ()
	Destructor. More...

SOLVER_UTILS_EXPORT void	SetUpTraceNormals (void)

SOLVER_UTILS_EXPORT void	InitObject ()
	Initialises the members of this object. More...

SOLVER_UTILS_EXPORT void	DoInitialise ()
	Perform any initialisation necessary before solving the problem. More...

SOLVER_UTILS_EXPORT void	DoSolve ()
	Solve the problem. More...

SOLVER_UTILS_EXPORT void	TransCoeffToPhys ()
	Transform from coefficient to physical space. More...

SOLVER_UTILS_EXPORT void	TransPhysToCoeff ()
	Transform from physical to coefficient space. More...

SOLVER_UTILS_EXPORT void	Output ()
	Perform output operations after solve. More...

SOLVER_UTILS_EXPORT NekDouble	LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Linf error computation. More...

SOLVER_UTILS_EXPORT std::string	GetSessionName ()
	Get Session name. More...

template<class T >
std::shared_ptr< T >	as ()

SOLVER_UTILS_EXPORT void	ResetSessionName (std::string newname)
	Reset Session name. More...

SOLVER_UTILS_EXPORT LibUtilities::SessionReaderSharedPtr	GetSession ()
	Get Session name. More...

SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	GetPressure ()
	Get pressure field if available. More...

SOLVER_UTILS_EXPORT void	ExtraFldOutput (std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)

SOLVER_UTILS_EXPORT void	PrintSummary (std::ostream &out)
	Print a summary of parameters and solver characteristics. More...

SOLVER_UTILS_EXPORT void	SetLambda (NekDouble lambda)
	Set parameter m_lambda. More...

SOLVER_UTILS_EXPORT SessionFunctionSharedPtr	GetFunction (std::string name, const MultiRegions::ExpListSharedPtr &field=MultiRegions::NullExpListSharedPtr, bool cache=false)
	Get a SessionFunction by name. More...

SOLVER_UTILS_EXPORT void	SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)
	Initialise the data in the dependent fields. More...

SOLVER_UTILS_EXPORT void	EvaluateExactSolution (int field, Array< OneD, NekDouble > &outfield, const NekDouble time)
	Evaluates an exact solution. More...

SOLVER_UTILS_EXPORT NekDouble	L2Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln, bool Normalised=false)
	Compute the L2 error between fields and a given exact solution. More...

SOLVER_UTILS_EXPORT NekDouble	L2Error (unsigned int field, bool Normalised=false)
	Compute the L2 error of the fields. More...

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	ErrorExtraPoints (unsigned int field)
	Compute error (L2 and L_inf) over an larger set of quadrature points return [L2 Linf]. More...

SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n)
	Write checkpoint file of m_fields. More...

SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
	Write checkpoint file of custom data fields. More...

SOLVER_UTILS_EXPORT void	Checkpoint_BaseFlow (const int n)
	Write base flow file of m_fields. More...

SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname)
	Write field data to the given filename. More...

SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
	Write input fields to the given filename. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
	Input field data from the given file. More...

SOLVER_UTILS_EXPORT void	ImportFldToMultiDomains (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const int ndomains)
	Input field data from the given file to multiple domains. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, std::vector< std::string > &fieldStr, Array< OneD, Array< OneD, NekDouble > > &coeffs)
	Output a field. Input field data into array from the given file. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, MultiRegions::ExpListSharedPtr &pField, std::string &pFieldName)
	Output a field. Input field data into ExpList from the given file. More...

SOLVER_UTILS_EXPORT void	SessionSummary (SummaryList &vSummary)
	Write out a session summary. More...

SOLVER_UTILS_EXPORT Array< OneD, MultiRegions::ExpListSharedPtr > &	UpdateFields ()

SOLVER_UTILS_EXPORT LibUtilities::FieldMetaDataMap &	UpdateFieldMetaDataMap ()
	Get hold of FieldInfoMap so it can be updated. More...

SOLVER_UTILS_EXPORT NekDouble	GetFinalTime ()
	Return final time. More...

SOLVER_UTILS_EXPORT int	GetNcoeffs ()

SOLVER_UTILS_EXPORT int	GetNcoeffs (const int eid)

SOLVER_UTILS_EXPORT int	GetNumExpModes ()

SOLVER_UTILS_EXPORT const Array< OneD, int >	GetNumExpModesPerExp ()

SOLVER_UTILS_EXPORT int	GetNvariables ()

SOLVER_UTILS_EXPORT const std::string	GetVariable (unsigned int i)

SOLVER_UTILS_EXPORT int	GetTraceTotPoints ()

SOLVER_UTILS_EXPORT int	GetTraceNpoints ()

SOLVER_UTILS_EXPORT int	GetExpSize ()

SOLVER_UTILS_EXPORT int	GetPhys_Offset (int n)

SOLVER_UTILS_EXPORT int	GetCoeff_Offset (int n)

SOLVER_UTILS_EXPORT int	GetTotPoints ()

SOLVER_UTILS_EXPORT int	GetTotPoints (int n)

SOLVER_UTILS_EXPORT int	GetNpoints ()

SOLVER_UTILS_EXPORT int	GetSteps ()

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()

SOLVER_UTILS_EXPORT void	CopyFromPhysField (const int i, Array< OneD, NekDouble > &output)

SOLVER_UTILS_EXPORT void	CopyToPhysField (const int i, Array< OneD, NekDouble > &output)

SOLVER_UTILS_EXPORT void	SetSteps (const int steps)

SOLVER_UTILS_EXPORT void	ZeroPhysFields ()

SOLVER_UTILS_EXPORT void	FwdTransFields ()

SOLVER_UTILS_EXPORT void	SetModifiedBasis (const bool modbasis)

SOLVER_UTILS_EXPORT int	GetCheckpointNumber ()

SOLVER_UTILS_EXPORT void	SetCheckpointNumber (int num)

SOLVER_UTILS_EXPORT int	GetCheckpointSteps ()

SOLVER_UTILS_EXPORT void	SetCheckpointSteps (int num)

SOLVER_UTILS_EXPORT void	SetTime (const NekDouble time)

SOLVER_UTILS_EXPORT void	SetInitialStep (const int step)

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

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

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

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

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

virtual void	v_InitObject ()
	Initialization object for the APE class. More...

virtual void	v_GetFluxVector (const Array< OneD, Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, Array< OneD, NekDouble >>> &flux)
	Return the flux vector for the APE equations. More...

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

void	DoOdeRhs (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const NekDouble time)
	Compute the right-hand side. More...

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. More...

virtual void	v_AddLinTerm (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray)

virtual bool	v_PreIntegrate (int step)
	v_PreIntegrate More...

virtual void	v_Output ()

virtual Array< OneD, NekDouble >	v_GetMaxStdVelocity ()
	Compute the advection velocity in the standard space for each element of the expansion. More...

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. More...

const Array< OneD, const Array< OneD, NekDouble > > &	GetVecLocs ()
	Get the locations of the components of the directed fields within the fields array. More...

const Array< OneD, const Array< OneD, NekDouble > > &	GetBasefieldFwdBwd ()
	Get the baseflow field. More...

Protected Member Functions inherited from Nektar::SolverUtils::AdvectionSystem
virtual SOLVER_UTILS_EXPORT bool	v_PostIntegrate (int step)

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

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

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

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

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

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

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

virtual SOLVER_UTILS_EXPORT bool	v_RequireFwdTrans ()

SOLVER_UTILS_EXPORT void	CheckForRestartTime (NekDouble &time, int &nchk)

SOLVER_UTILS_EXPORT void	SVVVarDiffCoeff (const Array< OneD, Array< OneD, NekDouble >> vel, StdRegions::VarCoeffMap &varCoeffMap)
	Evaluate the SVV diffusion coefficient according to Moura's paper where it should proportional to h time velocity. More...

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

virtual SOLVER_UTILS_EXPORT NekDouble	v_LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Virtual function for the L_inf error computation between fields and a given exact solution. More...

virtual SOLVER_UTILS_EXPORT NekDouble	v_L2Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray, bool Normalised=false)
	Virtual function for the L_2 error computation between fields and a given exact solution. More...

virtual SOLVER_UTILS_EXPORT void	v_TransCoeffToPhys ()
	Virtual function for transformation to physical space. More...

virtual SOLVER_UTILS_EXPORT void	v_TransPhysToCoeff ()
	Virtual function for transformation to coefficient space. More...

virtual SOLVER_UTILS_EXPORT void	v_SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)

virtual SOLVER_UTILS_EXPORT void	v_EvaluateExactSolution (unsigned int field, Array< OneD, NekDouble > &outfield, const NekDouble time)

virtual SOLVER_UTILS_EXPORT 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
virtual void	v_RiemannInvariantBC (int bcRegion, int cnt, Array< OneD, Array< OneD, NekDouble >> &Fwd, Array< OneD, Array< OneD, NekDouble >> &BfFwd, Array< OneD, Array< OneD, NekDouble >> &physarray)
	Outflow characteristic boundary conditions for compressible flow problems. More...

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). More...

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

Protected Attributes inherited from Nektar::AcousticSystem
int	m_ip
	indices of the fields More...

int	m_irho

int	m_iu

bool	m_conservative
	we are dealing with a conservative formualtion More...

SolverUtils::CouplingSharedPtr	m_coupling

SolverUtils::AdvectionSharedPtr	m_advection

std::vector< SolverUtils::ForcingSharedPtr >	m_forcing

SolverUtils::RiemannSolverSharedPtr	m_riemannSolver

Array< OneD, Array< OneD, NekDouble > >	m_bfFwdBwd

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

Array< OneD, Array< OneD, NekDouble > >	m_bf

std::vector< std::string >	m_bfNames

Protected Attributes inherited from Nektar::SolverUtils::AdvectionSystem
SolverUtils::AdvectionSharedPtr	m_advObject
	Advection term. More...

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

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

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

int	m_nanSteps

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

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

LibUtilities::TimeIntegrationSolutionSharedPtr	m_intSoln

NekDouble	m_epsilon

bool	m_explicitDiffusion
	Indicates if explicit or implicit treatment of diffusion is used. More...

bool	m_explicitAdvection
	Indicates if explicit or implicit treatment of advection is used. More...

bool	m_explicitReaction
	Indicates if explicit or implicit treatment of reaction is used. More...

bool	m_homoInitialFwd
	Flag to determine if simulation should start in homogeneous forward transformed state. More...

NekDouble	m_steadyStateTol
	Tolerance to which steady state should be evaluated at. More...

int	m_steadyStateSteps
	Check for steady state at step interval. More...

Array< OneD, Array< OneD, NekDouble > >	m_previousSolution
	Storage for previous solution for steady-state check. More...

std::ofstream	m_errFile

std::vector< int >	m_intVariables

std::vector< std::pair< std::string, FilterSharedPtr > >	m_filters

NekDouble	m_filterTimeWarning
	Number of time steps between outputting status information. More...

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

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

std::map< std::string, SolverUtils::SessionFunctionSharedPtr >	m_sessionFunctions
	Map of known SessionFunctions. More...

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

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

SpatialDomains::BoundaryConditionsSharedPtr	m_boundaryConditions
	Pointer to boundary conditions object. More...

SpatialDomains::MeshGraphSharedPtr	m_graph
	Pointer to graph defining mesh. More...

std::string	m_sessionName
	Name of the session. More...

NekDouble	m_time
	Current time of simulation. More...

int	m_initialStep
	Number of the step where the simulation should begin. More...

NekDouble	m_fintime
	Finish time of the simulation. More...

NekDouble	m_timestep
	Time step size. More...

NekDouble	m_lambda
	Lambda constant in real system if one required. More...

NekDouble	m_checktime
	Time between checkpoints. More...

int	m_nchk
	Number of checkpoints written so far. More...

int	m_steps
	Number of steps to take. More...

int	m_checksteps
	Number of steps between checkpoints. More...

int	m_spacedim
	Spatial dimension (>= expansion dim). More...

int	m_expdim
	Expansion dimension. More...

bool	m_singleMode
	Flag to determine if single homogeneous mode is used. More...

bool	m_halfMode
	Flag to determine if half homogeneous mode is used. More...

bool	m_multipleModes
	Flag to determine if use multiple homogenenous modes are used. More...

bool	m_useFFT
	Flag to determine if FFT is used for homogeneous transform. More...

bool	m_homogen_dealiasing
	Flag to determine if dealiasing is used for homogeneous simulations. More...

bool	m_specHP_dealiasing
	Flag to determine if dealisising is usde for the Spectral/hp element discretisation. More...

enum MultiRegions::ProjectionType	m_projectionType
	Type of projection; e.g continuous or discontinuous. More...

Array< OneD, Array< OneD, NekDouble > >	m_traceNormals
	Array holding trace normals for DG simulations in the forwards direction. More...

Array< OneD, bool >	m_checkIfSystemSingular
	Flag to indicate if the fields should be checked for singularity. More...

LibUtilities::FieldMetaDataMap	m_fieldMetaDataMap
	Map to identify relevant solver info to dump in output fields. More...

int	m_NumQuadPointsError
	Number of Quadrature points used to work out the error. More...

enum HomogeneousType	m_HomogeneousType

NekDouble	m_LhomX
	physical length in X direction (if homogeneous) More...

NekDouble	m_LhomY
	physical length in Y direction (if homogeneous) More...

NekDouble	m_LhomZ
	physical length in Z direction (if homogeneous) More...

int	m_npointsX
	number of points in X direction (if homogeneous) More...

int	m_npointsY
	number of points in Y direction (if homogeneous) More...

int	m_npointsZ
	number of points in Z direction (if homogeneous) More...

int	m_HomoDirec
	number of homogenous directions More...

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

Detailed Description

Definition at line 46 of file APE.h.

Constructor & Destructor Documentation

◆ ~APE()

Nektar::APE::~APE ( )

virtual

Destructor.

Destructor for APE class.

Definition at line 123 of file APE.cpp.

124 {

125 }

◆ APE()

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

protected

Initialises UnsteadySystem class members.

Definition at line 47 of file APE.cpp.

     : UnsteadySystem(pSession, pGraph), AcousticSystem(pSession, pGraph)
 {
     m_ip   = 0;
     m_irho = -1;
     m_iu   = 1;
  
     m_conservative = false;
 }

References Nektar::AcousticSystem::m_conservative, Nektar::AcousticSystem::m_ip, Nektar::AcousticSystem::m_irho, and Nektar::AcousticSystem::m_iu.

Member Function Documentation

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 52 of file APE.h.

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

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

◆ v_GetFluxVector()

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

protectedvirtual

Return the flux vector for the APE equations.

Parameters

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

Implements Nektar::AcousticSystem.

Definition at line 133 of file APE.cpp.

 {
     int nq = physfield[0].num_elements();
     Array<OneD, NekDouble> tmp1(nq);
     Array<OneD, NekDouble> tmp2(nq);
  
     ASSERTL1(flux[0].num_elements() == m_spacedim,
              "Dimension of flux array and velocity array do not match");
  
     // F_{adv,p',j} = \bar{rho}  \bar{c^2} u'_j + p' \bar{u}_j
     for (int j = 0; j < m_spacedim; ++j)
     {
         Vmath::Zero(nq, flux[0][j], 1);
  
         // construct \bar{rho}  \bar{c^2} u'_j
         Vmath::Vmul(nq, m_bf[0], 1, m_bf[1], 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_bf[j + 2], 1, tmp2, 1);
  
         // add both terms
         Vmath::Vadd(nq, tmp1, 1, tmp2, 1, flux[0][j], 1);
     }
  
     for (int i = 1; i < flux.num_elements(); ++i)
     {
         ASSERTL1(flux[i].num_elements() == m_spacedim,
                  "Dimension of flux array and velocity array do not match");
  
         // F_{adv,u'_i,j} = (p'/ \bar{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'/ \bar{rho} term
                 Vmath::Vdiv(nq, physfield[0], 1, m_bf[1], 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::Vvtvp(nq, physfield[k + 1], 1, m_bf[k + 2], 1, tmp1,
                                  1, tmp1, 1);
                 }
  
                 // add terms
                 Vmath::Vadd(nq, flux[i][j], 1, tmp1, 1, flux[i][j], 1);
             }
         }
     }
 }

References ASSERTL1, Nektar::AcousticSystem::m_bf, Nektar::SolverUtils::EquationSystem::m_spacedim, Vmath::Vadd(), Vmath::Vdiv(), Vmath::Vmul(), Vmath::Vvtvp(), and Vmath::Zero().

Referenced by v_InitObject().

◆ v_InitObject()

void Nektar::APE::v_InitObject ( )

protectedvirtual

Initialization object for the APE class.

Reimplemented from Nektar::AcousticSystem.

Definition at line 61 of file APE.cpp.

 {
     AcousticSystem::v_InitObject();
  
     // Initialize basefield again
     m_bf = Array<OneD, Array<OneD, NekDouble>>(m_bfNames.size());
     for (int i = 0; i < m_bf.num_elements(); ++i)
     {
         m_bf[i] = Array<OneD, NekDouble>(GetTotPoints());
     }
     GetFunction("Baseflow", m_fields[0], true)
         ->Evaluate(m_bfNames, m_bf, m_time);
  
     // Define the normal velocity fields
     m_bfFwdBwd = Array<OneD, Array<OneD, NekDouble>>(2 * m_bfNames.size());
     for (int i = 0; i < m_bfFwdBwd.num_elements(); i++)
     {
         m_bfFwdBwd[i] = Array<OneD, NekDouble>(GetTraceNpoints(), 0.0);
     }
  
     string riemName;
     m_session->LoadSolverInfo("UpwindType", riemName, "Upwind");
     if (boost::to_lower_copy(riemName) == "characteristics" ||
         boost::to_lower_copy(riemName) == "apeupwind" ||
         boost::to_lower_copy(riemName) == "upwind")
     {
         riemName = "APEUpwind";
     }
     if (boost::to_lower_copy(riemName) == "laxfriedrichs")
     {
         riemName = "APELaxFriedrichs";
     }
     m_riemannSolver = SolverUtils::GetRiemannSolverFactory().CreateInstance(
         riemName, m_session);
     m_riemannSolver->SetVector("N", &APE::GetNormals, this);
     m_riemannSolver->SetVector("basefieldFwdBwd", &APE::GetBasefieldFwdBwd,
                                this);
     m_riemannSolver->SetAuxVec("vecLocs", &APE::GetVecLocs, this);
  
     // Set up advection operator
     string advName;
     m_session->LoadSolverInfo("AdvectionType", advName, "WeakDG");
     m_advection =
         SolverUtils::GetAdvectionFactory().CreateInstance(advName, advName);
     m_advection->SetFluxVector(&APE::v_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.");
     }
 }

◆ v_RiemannInvariantBC()

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

privatevirtual

Outflow characteristic boundary conditions for compressible flow problems.

Implements Nektar::AcousticSystem.

Definition at line 194 of file APE.cpp.

 {
     int id1, id2, nBCEdgePts;
     int nVariables = physarray.num_elements();
  
     const Array<OneD, const int> &traceBndMap = m_fields[0]->GetTraceBndMap();
  
     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]);
  
         // Calculate (v.n)
         Array<OneD, NekDouble> Vn(nBCEdgePts, 0.0);
         for (int i = 0; i < m_spacedim; ++i)
         {
             Vmath::Vvtvp(nBCEdgePts, &Fwd[m_iu + i][id2], 1,
                          &m_traceNormals[i][id2], 1, &Vn[0], 1, &Vn[0], 1);
         }
  
         // Calculate (v0.n)
         Array<OneD, NekDouble> Vn0(nBCEdgePts, 0.0);
         for (int i = 0; i < m_spacedim; ++i)
         {
             Vmath::Vvtvp(nBCEdgePts, &BfFwd[2 + i][id2], 1,
                          &m_traceNormals[i][id2], 1, &Vn0[0], 1, &Vn0[0], 1);
         }
  
         for (int i = 0; i < nBCEdgePts; ++i)
         {
             NekDouble c = sqrt(BfFwd[0][id2 + i]);
  
             // LODI
             NekDouble h1, h2;
  
             // outgoing
             if (Vn0[i] - c > 0)
             {
                 // u/2 - p/(2*rho0*sqr(c0sq))
                 h1 = Vn[i] / 2 -
                      Fwd[m_ip][id2 + i] / (2 * BfFwd[1][id2 + i] * c);
             }
             // incoming
             else
             {
                 h1 = 0.0;
             }
  
             // outgoing
             if (Vn0[i] + c > 0)
             {
                 // u/2 + p/(2*rho0*sqr(c0sq))
                 h2 = Vn[i] / 2 +
                      Fwd[m_ip][id2 + i] / (2 * BfFwd[1][id2 + i] * c);
             }
             // incoming
             else
             {
                 h2 = 0.0;
             }
  
             // compute primitive variables
             // p = rho0*sqr(c0sq) * (h2 - h1)
             Fwd[m_ip][id2 + i] = BfFwd[1][id2 + i] * c * (h2 - h1);
             // u = h1 + h2
             NekDouble VnNew = h1 + h2;
  
             // adjust velocity pert. according to new value
             for (int j = 0; j < m_spacedim; ++j)
             {
                 Fwd[m_iu + j][id2 + i] =
                     Fwd[m_iu + j][id2 + i] +
                     (VnNew - Vn[i]) * m_traceNormals[j][id2 + i];
             }
         }
  
         // 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);
         }
     }
 }