#include <UnsteadyAdvectionDiffusion.h>

Inheritance diagram for Nektar::UnsteadyAdvectionDiffusion:

Public Member Functions
virtual	~UnsteadyAdvectionDiffusion ()
	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 SolverUtils::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
	UnsteadyAdvectionDiffusion (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Session reader. More...

void	GetFluxVectorAdv (const Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &flux)
	Evaluate the flux at each solution point for the advection part. More...

void	GetFluxVectorDiff (const Array< OneD, Array< OneD, NekDouble > > &inarray, const Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &qfield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &viscousTensor)
	Evaluate the flux at each solution point for the diffusion part. More...

virtual void	DoOdeRhs (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Compute the RHS. More...

void	DoOdeProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Perform the projection. More...

virtual void	DoImplicitSolve (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, NekDouble time, NekDouble lambda)
	Solve implicitly the diffusion term. More...

Array< OneD, NekDouble > &	GetNormalVelocity ()
	Get the normal velocity based on m_velocity. More...

Array< OneD, NekDouble > &	GetNormalVel (const Array< OneD, const Array< OneD, NekDouble > > &velfield)
	Get the normal velocity based on input velfield. More...

virtual void	v_InitObject ()
	Initialise the object. More...

virtual void	v_GenerateSummary (SolverUtils::SummaryList &s)
	Print Summary. More...

virtual bool	v_PreIntegrate (int step)
	PreIntegration step for substepping. More...

void	SubStepAdvance (const LibUtilities::TimeIntegrationSolutionSharedPtr &integrationSoln, int nstep, NekDouble time)

NekDouble	GetSubstepTimeStep ()

void	SetUpSubSteppingTimeIntegration (int intMethod, const LibUtilities::TimeIntegrationWrapperSharedPtr &IntegrationScheme)

void	SubStepAdvection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)

void	SubStepProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)

void	AddAdvectionPenaltyFlux (const Array< OneD, const Array< OneD, NekDouble > > &velfield, const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &Outarray)

Array< OneD, NekDouble >	GetMaxStdVelocity (const Array< OneD, Array< OneD, NekDouble > > inarray)

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

virtual SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	v_GetMaxStdVelocity ()

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_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 void	v_Output (void)

virtual SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	v_GetPressure (void)

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

Protected Attributes
bool	m_subSteppingScheme

bool	m_useSpecVanVisc

NekDouble	m_sVVCutoffRatio

NekDouble	m_sVVDiffCoeff

SolverUtils::RiemannSolverSharedPtr	m_riemannSolver

SolverUtils::DiffusionSharedPtr	m_diffusion

Array< OneD, Array< OneD, NekDouble > >	m_velocity

Array< OneD, NekDouble >	m_traceVn

int	m_planeNumber

LibUtilities::TimeIntegrationWrapperSharedPtr	m_subStepIntegrationScheme

LibUtilities::TimeIntegrationSchemeOperators	m_subStepIntegrationOps

int	m_intSteps

NekDouble	m_cflSafetyFactor

int	m_infosteps

int	m_minsubsteps

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...

Private Attributes
NekDouble	m_waveFreq

NekDouble	m_epsilon

Friends
class	MemoryManager< UnsteadyAdvectionDiffusion >

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...

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

Detailed Description

Definition at line 45 of file UnsteadyAdvectionDiffusion.h.

Constructor & Destructor Documentation

◆ ~UnsteadyAdvectionDiffusion()

Nektar::UnsteadyAdvectionDiffusion::~UnsteadyAdvectionDiffusion ( )

virtual

Destructor.

Unsteady linear advection diffusion equation destructor.

Definition at line 193 of file UnsteadyAdvectionDiffusion.cpp.

194 {

195 }

◆ UnsteadyAdvectionDiffusion()

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

protected

Session reader.

Definition at line 50 of file UnsteadyAdvectionDiffusion.cpp.

References m_planeNumber.

         : UnsteadySystem(pSession, pGraph),
           AdvectionSystem(pSession, pGraph)
     {
         m_planeNumber = 0;
     }

Member Function Documentation

◆ AddAdvectionPenaltyFlux()

void Nektar::UnsteadyAdvectionDiffusion::AddAdvectionPenaltyFlux	(	const Array< OneD, const Array< OneD, NekDouble > > &	velfield,
		const Array< OneD, const Array< OneD, NekDouble > > &	physfield,
		Array< OneD, Array< OneD, NekDouble > > &	Outarray
	)

protected

Number of trace points

Forward state array

Backward state array

upwind numerical flux state array

Normal velocity array

Extract forwards/backwards trace spaces Note: Needs to have correct i value to get boundary conditions

Upwind between elements

Construct difference between numflux and Fwd,Bwd

Calculate the numerical fluxes multipling Fwd, Bwd and numflux by the normal advection velocity

Definition at line 660 of file UnsteadyAdvectionDiffusion.cpp.

References ASSERTL1, GetNormalVel(), Nektar::SolverUtils::EquationSystem::m_fields, Vmath::Vmul(), and Vmath::Vsub().

Referenced by SubStepAdvection().

     {
         ASSERTL1(physfield.num_elements() == Outarray.num_elements(),
                  "Physfield and outarray are of different dimensions");
 
         int i;
 
         /// Number of trace points
         int nTracePts   = m_fields[0]->GetTrace()->GetNpoints();
 
         /// Forward state array
         Array<OneD, NekDouble> Fwd(3*nTracePts);
 
         /// Backward state array
         Array<OneD, NekDouble> Bwd = Fwd + nTracePts;
 
         /// upwind numerical flux state array
         Array<OneD, NekDouble> numflux = Bwd + nTracePts;
 
         /// Normal velocity array
         Array<OneD, NekDouble> Vn  = GetNormalVel(velfield);
 
         for(i = 0; i < physfield.num_elements(); ++i)
         {
             /// Extract forwards/backwards trace spaces
             /// Note: Needs to have correct i value to get boundary conditions
             m_fields[i]->GetFwdBwdTracePhys(physfield[i], Fwd, Bwd);
 
             /// Upwind between elements
             m_fields[0]->GetTrace()->Upwind(Vn, Fwd, Bwd, numflux);
 
             /// Construct difference between numflux and Fwd,Bwd
             Vmath::Vsub(nTracePts, numflux, 1, Fwd, 1, Fwd, 1);
             Vmath::Vsub(nTracePts, numflux, 1, Bwd, 1, Bwd, 1);
 
             /// Calculate the numerical fluxes multipling Fwd, Bwd and
             /// numflux by the normal advection velocity
             Vmath::Vmul(nTracePts, Fwd, 1, Vn, 1, Fwd, 1);
             Vmath::Vmul(nTracePts, Bwd, 1, Vn, 1, Bwd, 1);
 
             m_fields[0]->AddFwdBwdTraceIntegral(Fwd,Bwd,Outarray[i]);
         }
     }

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 51 of file UnsteadyAdvectionDiffusion.h.

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

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

◆ DoImplicitSolve()

void Nektar::UnsteadyAdvectionDiffusion::DoImplicitSolve	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray,
		NekDouble	time,
		NekDouble	lambda
	)

protectedvirtual

Solve implicitly the diffusion term.

Definition at line 340 of file UnsteadyAdvectionDiffusion.cpp.

References Nektar::MultiRegions::eDiscontinuous, Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::StdRegions::eFactorTau, m_epsilon, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, m_sVVCutoffRatio, m_sVVDiffCoeff, m_useSpecVanVisc, Nektar::NullFlagList, Nektar::SolverUtils::EquationSystem::SetBoundaryConditions(), and Vmath::Smul().

Referenced by v_InitObject().

     {
         int nvariables = inarray.num_elements();
         int nq = m_fields[0]->GetNpoints();
 
         StdRegions::ConstFactorMap factors;
         factors[StdRegions::eFactorLambda] = 1.0/lambda/m_epsilon;
 
         if(m_useSpecVanVisc)
         {
             factors[StdRegions::eFactorSVVCutoffRatio] = m_sVVCutoffRatio;
             factors[StdRegions::eFactorSVVDiffCoeff]   = m_sVVDiffCoeff/m_epsilon;
         }
         if(m_projectionType == MultiRegions::eDiscontinuous)
         {
             factors[StdRegions::eFactorTau] = 1.0;
         }
 
         Array<OneD, Array< OneD, NekDouble> > F(nvariables);
         for (int n = 0; n < nvariables; ++n)
         {
             F[n] = Array<OneD, NekDouble> (nq);
         }
 
         // We solve ( \nabla^2 - HHlambda ) Y[i] = rhs [i]
         // inarray = input: \hat{rhs} -> output: \hat{Y}
         // outarray = output: nabla^2 \hat{Y}
         // where \hat = modal coeffs
         for (int i = 0; i < nvariables; ++i)
         {
             // Multiply 1.0/timestep/lambda
             Vmath::Smul(nq, -factors[StdRegions::eFactorLambda],
                         inarray[i], 1, F[i], 1);
         }
 
         //Setting boundary conditions
         SetBoundaryConditions(time);
 
         for (int i = 0; i < nvariables; ++i)
         {
             // Solve a system of equations with Helmholtz solver
             m_fields[i]->HelmSolve(F[i], m_fields[i]->UpdateCoeffs(),
                                    NullFlagList, factors);
 
             m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(), outarray[i]);
         }
     }

◆ DoOdeProjection()

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

protected

Perform the projection.

Compute the projection for the unsteady advection diffusion problem.

Parameters

inarray	Given fields.
outarray	Calculated solution.
time	Time.

Definition at line 291 of file UnsteadyAdvectionDiffusion.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, Nektar::SolverUtils::EquationSystem::SetBoundaryConditions(), and Vmath::Vcopy().

Referenced by v_InitObject().

     {
         int i;
         int nvariables = inarray.num_elements();
         SetBoundaryConditions(time);
         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);
                 }
                 break;
             }
             case MultiRegions::eGalerkin:
             case MultiRegions::eMixed_CG_Discontinuous:
             {
                 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;
             }
         }
     }

◆ DoOdeRhs()

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

protectedvirtual

Compute the RHS.

Compute the right-hand side for the unsteady linear advection diffusion problem.

Parameters

inarray	Given fields.
outarray	Calculated solution.
time	Time.

Definition at line 243 of file UnsteadyAdvectionDiffusion.cpp.

References Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::AdvectionSystem::m_advObject, m_diffusion, Nektar::SolverUtils::UnsteadySystem::m_explicitDiffusion, Nektar::SolverUtils::EquationSystem::m_fields, m_velocity, Vmath::Neg(), and Vmath::Vadd().

Referenced by v_InitObject().

     {
         // Number of fields (variables of the problem)
         int nVariables = inarray.num_elements();
 
         // Number of solution points
         int nSolutionPts = GetNpoints();
 
         // RHS computation using the new advection base class
         m_advObject->Advect(nVariables, m_fields, m_velocity,
                             inarray, outarray, time);
 
         // Negate the RHS
         for (int i = 0; i < nVariables; ++i)
         {
             Vmath::Neg(nSolutionPts, outarray[i], 1);
         }
 
         if (m_explicitDiffusion)
         {
             Array<OneD, Array<OneD, NekDouble> > outarrayDiff(nVariables);
             for (int i = 0; i < nVariables; ++i)
             {
                 outarrayDiff[i] = Array<OneD, NekDouble>(nSolutionPts, 0.0);
             }
 
             m_diffusion->Diffuse(nVariables, m_fields, inarray, outarrayDiff);
 
             for (int i = 0; i < nVariables; ++i)
             {
                 Vmath::Vadd(nSolutionPts, &outarrayDiff[i][0], 1,
                     &outarray[i][0], 1, &outarray[i][0], 1);
             }
         }
 
     }

◆ GetFluxVectorAdv()

void Nektar::UnsteadyAdvectionDiffusion::GetFluxVectorAdv	(	const Array< OneD, Array< OneD, NekDouble > > &	physfield,
		Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &	flux
	)

protected

Evaluate the flux at each solution point for the advection part.

Return the flux vector for the advection part.

Parameters

physfield	Fields.
flux	Resulting flux.

Definition at line 398 of file UnsteadyAdvectionDiffusion.cpp.

References ASSERTL1, Nektar::SolverUtils::EquationSystem::m_fields, m_velocity, and Vmath::Vmul().

Referenced by v_InitObject().

     {
         ASSERTL1(flux[0].num_elements() == m_velocity.num_elements(),
                  "Dimension of flux array and velocity array do not match");
 
         const int nq = m_fields[0]->GetNpoints();
 
         for (int i = 0; i < flux.num_elements(); ++i)
         {
             for (int j = 0; j < flux[0].num_elements(); ++j)
             {
                 Vmath::Vmul(nq, physfield[i], 1, m_velocity[j], 1,
                             flux[i][j], 1);
             }
         }
     }

◆ GetFluxVectorDiff()

void Nektar::UnsteadyAdvectionDiffusion::GetFluxVectorDiff	(	const Array< OneD, Array< OneD, NekDouble > > &	inarray,
		const Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &	qfield,
		Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &	viscousTensor
	)

protected

Evaluate the flux at each solution point for the diffusion part.

Return the flux vector for the diffusion part.

Parameters

i	Equation number.
j	Spatial direction.
physfield	Fields.
derivatives	First order derivatives.
flux	Resulting flux.

Definition at line 426 of file UnsteadyAdvectionDiffusion.cpp.

References m_epsilon, and Vmath::Smul().

Referenced by v_InitObject().

     {
         boost::ignore_unused(inarray);
 
         unsigned int nDim = qfield.num_elements();
         unsigned int nConvectiveFields = qfield[0].num_elements();
         unsigned int nPts = qfield[0][0].num_elements();
         for (unsigned int j = 0; j < nDim; ++j)
         {
             for (unsigned int i = 0; i < nConvectiveFields; ++i)
             {
                 Vmath::Smul(nPts, m_epsilon, qfield[j][i], 1,
                     viscousTensor[j][i], 1 );
             }
         }
     }

◆ GetMaxStdVelocity()

Array< OneD, NekDouble > Nektar::UnsteadyAdvectionDiffusion::GetMaxStdVelocity ( const Array< OneD, Array< OneD, NekDouble > > inarray )

protected

Definition at line 708 of file UnsteadyAdvectionDiffusion.cpp.

References ASSERTL0, Nektar::SpatialDomains::eDeformed, and Nektar::SolverUtils::EquationSystem::m_fields.

Referenced by GetSubstepTimeStep().

     {
 
         int n_points_0      = m_fields[0]->GetExp(0)->GetTotPoints();
         int n_element       = m_fields[0]->GetExpSize();
         int nvel            = inarray.num_elements();
         int cnt;
 
         ASSERTL0(nvel >= 2, "Method not implemented for 1D");
 
         NekDouble pntVelocity;
 
         // Getting the standard velocity vector on the 2D normal space
         Array<OneD, Array<OneD, NekDouble> > stdVelocity(nvel);
         Array<OneD, NekDouble> maxV(n_element, 0.0);
         LibUtilities::PointsKeyVector ptsKeys;
 
         for (int i = 0; i < nvel; ++i)
         {
             stdVelocity[i] = Array<OneD, NekDouble>(n_points_0);
         }
 
         if (nvel == 2)
         {
             cnt = 0.0;
             for (int el = 0; el < n_element; ++el)
             {
                 int n_points = m_fields[0]->GetExp(el)->GetTotPoints();
                 ptsKeys = m_fields[0]->GetExp(el)->GetPointsKeys();
 
                 // reset local space if necessary
                 if(n_points != n_points_0)
                 {
                     for (int j = 0; j < nvel; ++j)
                     {
                         stdVelocity[j] = Array<OneD, NekDouble>(n_points);
                     }
                     n_points_0 = n_points;
                 }
 
                 Array<TwoD, const NekDouble> gmat =
                     m_fields[0]->GetExp(el)->GetGeom()->GetMetricInfo()->GetDerivFactors(ptsKeys);
 
                 if (m_fields[0]->GetExp(el)->GetGeom()->GetMetricInfo()->GetGtype()
                     == SpatialDomains::eDeformed)
                 {
                     for (int i = 0; i < n_points; i++)
                     {
                         stdVelocity[0][i] = gmat[0][i]*inarray[0][i+cnt]
                             + gmat[2][i]*inarray[1][i+cnt];
 
                         stdVelocity[1][i] = gmat[1][i]*inarray[0][i+cnt]
                             + gmat[3][i]*inarray[1][i+cnt];
                     }
                 }
                 else
                 {
                     for (int i = 0; i < n_points; i++)
                     {
                         stdVelocity[0][i] = gmat[0][0]*inarray[0][i+cnt]
                             + gmat[2][0]*inarray[1][i+cnt];
 
                         stdVelocity[1][i] = gmat[1][0]*inarray[0][i+cnt]
                             + gmat[3][0]*inarray[1][i+cnt];
                     }
                 }
 
                 cnt += n_points;
 
 
                 for (int i = 0; i < n_points; i++)
                 {
                     pntVelocity = stdVelocity[0][i]*stdVelocity[0][i]
                         + stdVelocity[1][i]*stdVelocity[1][i];
 
                     if (pntVelocity>maxV[el])
                     {
                         maxV[el] = pntVelocity;
                     }
                 }
                 maxV[el] = sqrt(maxV[el]);
             }
         }
         else
         {
             cnt = 0;
             for (int el = 0; el < n_element; ++el)
             {
 
                 int n_points = m_fields[0]->GetExp(el)->GetTotPoints();
                 ptsKeys = m_fields[0]->GetExp(el)->GetPointsKeys();
 
                 // reset local space if necessary
                 if(n_points != n_points_0)
                 {
                     for (int j = 0; j < nvel; ++j)
                     {
                         stdVelocity[j] = Array<OneD, NekDouble>(n_points);
                     }
                     n_points_0 = n_points;
                 }
 
                 Array<TwoD, const NekDouble> gmat =
                     m_fields[0]->GetExp(el)->GetGeom()->GetMetricInfo()->GetDerivFactors(ptsKeys);
 
                 if (m_fields[0]->GetExp(el)->GetGeom()->GetMetricInfo()->GetGtype()
                     == SpatialDomains::eDeformed)
                 {
                     for (int i = 0; i < n_points; i++)
                     {
                         stdVelocity[0][i] = gmat[0][i]*inarray[0][i+cnt]
                             + gmat[3][i]*inarray[1][i+cnt]
                             + gmat[6][i]*inarray[2][i+cnt];
 
                         stdVelocity[1][i] = gmat[1][i]*inarray[0][i+cnt]
                             + gmat[4][i]*inarray[1][i+cnt]
                             + gmat[7][i]*inarray[2][i+cnt];
 
                         stdVelocity[2][i] = gmat[2][i]*inarray[0][i+cnt]
                             + gmat[5][i]*inarray[1][i+cnt]
                             + gmat[8][i]*inarray[2][i+cnt];
                     }
                 }
                 else
                 {
                     for (int i = 0; i < n_points; i++)
                     {
                         stdVelocity[0][i] = gmat[0][0]*inarray[0][i+cnt]
                             + gmat[3][0]*inarray[1][i+cnt]
                             + gmat[6][0]*inarray[2][i+cnt];
 
                         stdVelocity[1][i] = gmat[1][0]*inarray[0][i+cnt]
                             + gmat[4][0]*inarray[1][i+cnt]
                             + gmat[7][0]*inarray[2][i+cnt];
 
                         stdVelocity[2][i] = gmat[2][0]*inarray[0][i+cnt]
                             + gmat[5][0]*inarray[1][i+cnt]
                             + gmat[8][0]*inarray[2][i+cnt];
                     }
                 }
 
                 cnt += n_points;
 
                 for (int i = 0; i < n_points; i++)
                 {
                     pntVelocity = stdVelocity[0][i]*stdVelocity[0][i]
                         + stdVelocity[1][i]*stdVelocity[1][i]
                         + stdVelocity[2][i]*stdVelocity[2][i];
 
                     if (pntVelocity > maxV[el])
                     {
                         maxV[el] = pntVelocity;
                     }
                 }
 
                 maxV[el] = sqrt(maxV[el]);
                 //cout << maxV[el]*maxV[el] << endl;
             }
         }
 
         return maxV;
     }

◆ GetNormalVel()

Array< OneD, NekDouble > & Nektar::UnsteadyAdvectionDiffusion::GetNormalVel ( const Array< OneD, const Array< OneD, NekDouble > > & velfield )

protected

Get the normal velocity based on input velfield.

Definition at line 207 of file UnsteadyAdvectionDiffusion.cpp.

References Nektar::SolverUtils::EquationSystem::GetTraceNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_traceNormals, m_traceVn, Vmath::Vvtvp(), and Vmath::Zero().

Referenced by AddAdvectionPenaltyFlux(), and GetNormalVelocity().

     {
         // Number of trace (interface) points
         int i;
         int nTracePts = GetTraceNpoints();
 
         // Auxiliary variable to compute the normal velocity
         Array<OneD, NekDouble> tmp(nTracePts);
         m_traceVn = Array<OneD, NekDouble>(nTracePts, 0.0);
 
         // Reset the normal velocity
         Vmath::Zero(nTracePts, m_traceVn, 1);
 
         for (i = 0; i < velfield.num_elements(); ++i)
         {
             m_fields[0]->ExtractTracePhys(velfield[i], tmp);
 
             Vmath::Vvtvp(nTracePts,
                          m_traceNormals[i], 1,
                          tmp, 1,
                          m_traceVn, 1,
                          m_traceVn, 1);
         }
 
         return m_traceVn;
     }

◆ GetNormalVelocity()

Array< OneD, NekDouble > & Nektar::UnsteadyAdvectionDiffusion::GetNormalVelocity ( )

protected

Get the normal velocity based on m_velocity.

Get the normal velocity for the unsteady linear advection diffusion equation.

Definition at line 201 of file UnsteadyAdvectionDiffusion.cpp.

References GetNormalVel(), and m_velocity.

Referenced by v_InitObject().

     {
         return GetNormalVel(m_velocity);
     }

◆ GetSubstepTimeStep()

NekDouble Nektar::UnsteadyAdvectionDiffusion::GetSubstepTimeStep ( )

protected

Definition at line 532 of file UnsteadyAdvectionDiffusion.cpp.

References GetMaxStdVelocity(), m_cflSafetyFactor, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_session, m_velocity, Nektar::LibUtilities::ReduceMin, and Vmath::Vmin().

Referenced by SubStepAdvance().

     {
         int n_element      = m_fields[0]->GetExpSize();
 
         const Array<OneD, int> ExpOrder=m_fields[0]->EvalBasisNumModesMaxPerExp();
         Array<OneD, int> ExpOrderList (n_element, ExpOrder);
 
         const NekDouble cLambda = 0.2; // Spencer book pag. 317
 
         Array<OneD, NekDouble> tstep      (n_element, 0.0);
         Array<OneD, NekDouble> stdVelocity(n_element, 0.0);
 
         stdVelocity = GetMaxStdVelocity(m_velocity);
 
         for(int el = 0; el < n_element; ++el)
         {
             tstep[el] = m_cflSafetyFactor /
                 (stdVelocity[el] * cLambda *
                  (ExpOrder[el]-1) * (ExpOrder[el]-1));
         }
 
         NekDouble TimeStep = Vmath::Vmin(n_element, tstep, 1);
         m_session->GetComm()->AllReduce(TimeStep,LibUtilities::ReduceMin);
 
         return TimeStep;
     }

◆ SetUpSubSteppingTimeIntegration()

void Nektar::UnsteadyAdvectionDiffusion::SetUpSubSteppingTimeIntegration	(	int	intMethod,
		const LibUtilities::TimeIntegrationWrapperSharedPtr &	IntegrationScheme
	)

protected

Definition at line 559 of file UnsteadyAdvectionDiffusion.cpp.

References ASSERTL0, Nektar::LibUtilities::NekFactory< tKey, tBase, tParam >::CreateInstance(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineOdeRhs(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineProjection(), Nektar::LibUtilities::eBackwardEuler, Nektar::LibUtilities::eBDFImplicitOrder1, Nektar::LibUtilities::eBDFImplicitOrder2, Nektar::LibUtilities::GetTimeIntegrationWrapperFactory(), m_intSteps, m_subStepIntegrationOps, m_subStepIntegrationScheme, SubStepAdvection(), and SubStepProjection().

Referenced by v_InitObject().

     {
         // Set to 1 for first step and it will then be increased in
         // time advance routines
         switch(intMethod)
         {
         case LibUtilities::eBackwardEuler:
         case LibUtilities::eBDFImplicitOrder1:
             {
                 m_subStepIntegrationScheme = LibUtilities::GetTimeIntegrationWrapperFactory().CreateInstance("ForwardEuler");
 
             }
             break;
         case LibUtilities::eBDFImplicitOrder2:
             {
                 m_subStepIntegrationScheme = LibUtilities::GetTimeIntegrationWrapperFactory().CreateInstance("RungeKutta2_ImprovedEuler");
             }
             break;
         default:
             ASSERTL0(0,"Integration method not suitable: Options include BackwardEuler or BDFImplicitOrder1");
             break;
         }
         m_intSteps = IntegrationScheme->GetIntegrationSteps();
 
         // set explicit time-integration class operators
         m_subStepIntegrationOps.DefineOdeRhs(&UnsteadyAdvectionDiffusion::SubStepAdvection, this);
         m_subStepIntegrationOps.DefineProjection(&UnsteadyAdvectionDiffusion::SubStepProjection, this);
     }

◆ SubStepAdvance()

void Nektar::UnsteadyAdvectionDiffusion::SubStepAdvance	(	const LibUtilities::TimeIntegrationSolutionSharedPtr &	integrationSoln,
		int	nstep,
		NekDouble	time
	)

protected

Definition at line 470 of file UnsteadyAdvectionDiffusion.cpp.

References Nektar::SolverUtils::EquationSystem::GetExpSize(), GetSubstepTimeStep(), m_cflSafetyFactor, Nektar::SolverUtils::EquationSystem::m_fields, m_infosteps, m_intSteps, m_minsubsteps, Nektar::SolverUtils::EquationSystem::m_session, m_subStepIntegrationOps, m_subStepIntegrationScheme, and Nektar::SolverUtils::EquationSystem::m_timestep.

Referenced by v_PreIntegrate().

     {
         int n;
         int nsubsteps;
 
         NekDouble dt;
 
         Array<OneD, Array<OneD, NekDouble> > fields, velfields;
 
         static int ncalls = 1;
         int  nint         = min(ncalls++, m_intSteps);
 
         Array<OneD, NekDouble> CFL(m_fields[0]->GetExpSize(),
                                    m_cflSafetyFactor);
 
         LibUtilities::CommSharedPtr comm = m_session->GetComm();
 
         // Get the proper time step with CFL control
         dt = GetSubstepTimeStep();
 
         nsubsteps = (m_timestep > dt)? ((int)(m_timestep/dt)+1):1;
         nsubsteps = max(m_minsubsteps, nsubsteps);
 
         dt = m_timestep/nsubsteps;
 
         if (m_infosteps && !((nstep+1)%m_infosteps) && comm->GetRank() == 0)
         {
             cout << "Sub-integrating using "<< nsubsteps
                  << " steps over Dt = "     << m_timestep
                  << " (SubStep CFL="        << m_cflSafetyFactor << ")"<< endl;
         }
 
         for (int m = 0; m < nint; ++m)
         {
             // We need to update the fields held by the m_integrationSoln
             fields = integrationSoln->UpdateSolutionVector()[m];
 
             // Initialise NS solver which is set up to use a GLM method
             // with calls to EvaluateAdvection_SetPressureBCs and
             // SolveUnsteadyStokesSystem
             LibUtilities::TimeIntegrationSolutionSharedPtr
                 SubIntegrationSoln = m_subStepIntegrationScheme->
                 InitializeScheme(dt, fields, time, m_subStepIntegrationOps);
 
             for(n = 0; n < nsubsteps; ++n)
             {
                 fields = m_subStepIntegrationScheme->TimeIntegrate(n, dt, SubIntegrationSoln,
                                                                    m_subStepIntegrationOps);
             }
 
             // Reset time integrated solution in m_integrationSoln
             integrationSoln->SetSolVector(m,fields);
         }
     }

◆ SubStepAdvection()

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

protected

Explicit Advection terms used by SubStepAdvance time integration

Get the number of coefficients

Define an auxiliary variable to compute the RHS

Operations to compute the RHS

Multiply the flux by the inverse of the mass matrix

Store in outarray the physical values of the RHS

Definition at line 593 of file UnsteadyAdvectionDiffusion.cpp.

References AddAdvectionPenaltyFlux(), Nektar::SolverUtils::AdvectionSystem::m_advObject, Nektar::SolverUtils::EquationSystem::m_fields, m_velocity, and Vmath::Neg().

Referenced by SetUpSubSteppingTimeIntegration().

     {
         int i;
         int nVariables     = inarray.num_elements();
 
         /// Get the number of coefficients
         int ncoeffs = m_fields[0]->GetNcoeffs();
 
         /// Define an auxiliary variable to compute the RHS
         Array<OneD, Array<OneD, NekDouble> > WeakAdv(nVariables);
         WeakAdv[0] = Array<OneD, NekDouble> (ncoeffs*nVariables);
         for(i = 1; i < nVariables; ++i)
         {
             WeakAdv[i] = WeakAdv[i-1] + ncoeffs;
         }
 
         // Currently assume velocity field is time independent and does not therefore
         // need extrapolating.
         // RHS computation using the advection base class
         m_advObject->Advect(nVariables, m_fields, m_velocity,
                             inarray, outarray, time);
 
         for(i = 0; i < nVariables; ++i)
         {
             m_fields[i]->IProductWRTBase(outarray[i],WeakAdv[i]);
             // negation requried due to sign of DoAdvection term to be consistent
             Vmath::Neg(ncoeffs, WeakAdv[i], 1);
         }
 
         AddAdvectionPenaltyFlux(m_velocity, inarray, WeakAdv);
 
 
         /// Operations to compute the RHS
         for(i = 0; i < nVariables; ++i)
         {
             // Negate the RHS
             Vmath::Neg(ncoeffs, WeakAdv[i], 1);
 
             /// Multiply the flux by the inverse of the mass matrix
             m_fields[i]->MultiplyByElmtInvMass(WeakAdv[i], WeakAdv[i]);
 
             /// Store in outarray the physical values of the RHS
             m_fields[i]->BwdTrans(WeakAdv[i], outarray[i]);
         }
     }

◆ SubStepProjection()

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

protected

Projection used by SubStepAdvance time integration

Definition at line 645 of file UnsteadyAdvectionDiffusion.cpp.

References ASSERTL1, and Vmath::Vcopy().

Referenced by SetUpSubSteppingTimeIntegration().

     {
         boost::ignore_unused(time);
 
         ASSERTL1(inarray.num_elements() == outarray.num_elements(),"Inarray and outarray of different sizes ");
 
         for(int i = 0; i < inarray.num_elements(); ++i)
         {
             Vmath::Vcopy(inarray[i].num_elements(),inarray[i],1,outarray[i],1);
         }
     }

◆ v_GenerateSummary()

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

protectedvirtual

Print Summary.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 446 of file UnsteadyAdvectionDiffusion.cpp.

References Nektar::SolverUtils::UnsteadySystem::v_GenerateSummary().

     {
         AdvectionSystem::v_GenerateSummary(s);
     }

◆ v_InitObject()

void Nektar::UnsteadyAdvectionDiffusion::v_InitObject ( )

protectedvirtual

Initialise the object.

Initialisation object for the unsteady linear advection diffusion equation.

Reimplemented from Nektar::SolverUtils::AdvectionSystem.

Definition at line 63 of file UnsteadyAdvectionDiffusion.cpp.

     {
         AdvectionSystem::v_InitObject();
 
         m_session->LoadParameter("wavefreq",   m_waveFreq, 0.0);
         m_session->LoadParameter("epsilon",    m_epsilon,  0.0);
 
         // turn on substepping
         m_session->MatchSolverInfo("Extrapolation", "SubStepping",
                                    m_subSteppingScheme, false);
 
         // Define Velocity fields
         m_velocity = Array<OneD, Array<OneD, NekDouble> >(m_spacedim);
         std::vector<std::string> vel;
         vel.push_back("Vx");
         vel.push_back("Vy");
         vel.push_back("Vz");
         vel.resize(m_spacedim);
 
         GetFunction( "AdvectionVelocity")->Evaluate(vel,  m_velocity);
 
         m_session->MatchSolverInfo(
             "SpectralVanishingViscosity", "True", m_useSpecVanVisc, false);
 
         if(m_useSpecVanVisc)
         {
             m_session->LoadParameter("SVVCutoffRatio",m_sVVCutoffRatio,0.75);
             m_session->LoadParameter("SVVDiffCoeff",m_sVVDiffCoeff,0.1);
         }
 
         // Type of advection and diffusion classes to be used
         switch(m_projectionType)
         {
             // Discontinuous field
             case MultiRegions::eDiscontinuous:
             {
                 // Do not forwards transform initial condition
                 m_homoInitialFwd = false;
 
                 // Advection term
                 string advName;
                 string riemName;
                 m_session->LoadSolverInfo("AdvectionType", advName, "WeakDG");
                 m_advObject = SolverUtils::GetAdvectionFactory().
                     CreateInstance(advName, advName);
                 m_advObject->SetFluxVector(&UnsteadyAdvectionDiffusion::
                                            GetFluxVectorAdv, this);
                 m_session->LoadSolverInfo("UpwindType", riemName, "Upwind");
                 m_riemannSolver = SolverUtils::GetRiemannSolverFactory().
                     CreateInstance(riemName, m_session);
                 m_riemannSolver->SetScalar("Vn", &UnsteadyAdvectionDiffusion::
                                            GetNormalVelocity, this);
                 m_advObject->SetRiemannSolver(m_riemannSolver);
                 m_advObject->InitObject      (m_session, m_fields);
 
                 // Diffusion term
                 if (m_explicitDiffusion)
                 {
                     std::string diffName;
                     m_session->LoadSolverInfo("DiffusionType", diffName, "LDG");
                     m_diffusion = SolverUtils::GetDiffusionFactory().
                         CreateInstance(diffName, diffName);
                     m_diffusion->SetFluxVector(&UnsteadyAdvectionDiffusion::
                                                GetFluxVectorDiff, this);
                     m_diffusion->InitObject(m_session, m_fields);
                 }
 
                 ASSERTL0(m_subSteppingScheme == false,"SubSteppingScheme is not set up for DG projection");
                 break;
             }
             // Continuous field
             case MultiRegions::eGalerkin:
             case MultiRegions::eMixed_CG_Discontinuous:
             {
                 // Advection term
                 std::string advName;
                 m_session->LoadSolverInfo("AdvectionType", advName,
                                           "NonConservative");
                 m_advObject = SolverUtils::GetAdvectionFactory().
                     CreateInstance(advName, advName);
                 m_advObject->SetFluxVector(&UnsteadyAdvectionDiffusion::
                                            GetFluxVectorAdv, this);
 
                 if(advName.compare("WeakDG") == 0)
                 {
                     string riemName;
                     m_session->LoadSolverInfo("UpwindType", riemName, "Upwind");
                     m_riemannSolver = SolverUtils::GetRiemannSolverFactory().
                         CreateInstance(riemName, m_session);
                     m_riemannSolver->SetScalar("Vn",
                                                &UnsteadyAdvectionDiffusion::
                                                GetNormalVelocity, this);
                     m_advObject->SetRiemannSolver(m_riemannSolver);
                     m_advObject->InitObject      (m_session, m_fields);
                 }
 
                 // In case of Galerkin explicit diffusion gives an error
                 if (m_explicitDiffusion)
                 {
                     ASSERTL0(false, "Explicit Galerkin diffusion not set up.");
                 }
                 // In case of Galerkin implicit diffusion: do nothing
                 break;
             }
             default:
             {
                 ASSERTL0(false, "Unsupported projection type.");
                 break;
             }
         }
 
         m_ode.DefineImplicitSolve (
             &UnsteadyAdvectionDiffusion::DoImplicitSolve, this);
         m_ode.DefineProjection(
             &UnsteadyAdvectionDiffusion::DoOdeProjection, this);
         m_ode.DefineOdeRhs(&UnsteadyAdvectionDiffusion::DoOdeRhs, this);
 
         if(m_subSteppingScheme) // Substepping
         {
             ASSERTL0(m_projectionType == MultiRegions::eMixed_CG_Discontinuous,
                      "Projection must be set to Mixed_CG_Discontinuous for "
                      "substepping");
             SetUpSubSteppingTimeIntegration(
                     m_intScheme->GetIntegrationMethod(), m_intScheme);
         }
     }

◆ v_PreIntegrate()

bool Nektar::UnsteadyAdvectionDiffusion::v_PreIntegrate ( int step )

protectedvirtual

PreIntegration step for substepping.

Perform the extrapolation.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 456 of file UnsteadyAdvectionDiffusion.cpp.

References Nektar::SolverUtils::UnsteadySystem::m_intSoln, m_subSteppingScheme, Nektar::SolverUtils::EquationSystem::m_time, and SubStepAdvance().

     {
         if(m_subSteppingScheme)
         {
             SubStepAdvance(m_intSoln,step,m_time);
         }
 
         return false;
     }

Friends And Related Function Documentation

◆ MemoryManager< UnsteadyAdvectionDiffusion >

friend class MemoryManager< UnsteadyAdvectionDiffusion >

friend

Definition at line 48 of file UnsteadyAdvectionDiffusion.h.

Member Data Documentation

◆ className

string Nektar::UnsteadyAdvectionDiffusion::className

static

Initial value:

= SolverUtils::GetEquationSystemFactory().RegisterCreatorFunction(
                "UnsteadyAdvectionDiffusion",
                UnsteadyAdvectionDiffusion::create)

Name of class.

Definition at line 62 of file UnsteadyAdvectionDiffusion.h.