Base class for unsteady solvers. More...

#include <UnsteadySystem.h>

Inheritance diagram for Nektar::SolverUtils::UnsteadySystem:

Public Member Functions
SOLVER_UTILS_EXPORT	~UnsteadySystem () override
	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...

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()

SOLVER_UTILS_EXPORT void	SetTimeStep (const NekDouble timestep)

SOLVER_UTILS_EXPORT void	SteadyStateResidual (int step, Array< OneD, NekDouble > &L2)

SOLVER_UTILS_EXPORT LibUtilities::TimeIntegrationSchemeSharedPtr &	GetTimeIntegrationScheme ()
	Returns the time integration scheme. More...

SOLVER_UTILS_EXPORT LibUtilities::TimeIntegrationSchemeOperators &	GetTimeIntegrationSchemeOperators ()
	Returns the time integration scheme operators. More...

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

SOLVER_UTILS_EXPORT void	InitObject (bool DeclareField=true)
	Initialises the members of this object. More...

SOLVER_UTILS_EXPORT void	DoInitialise (bool dumpInitialConditions=true)
	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 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 NekDouble	LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Linf error computation. 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	GetTime ()
	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, const Array< OneD, const NekDouble > &input)

SOLVER_UTILS_EXPORT Array< OneD, NekDouble > &	UpdatePhysField (const int i)

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 int	GetInfoSteps ()

SOLVER_UTILS_EXPORT void	SetInfoSteps (int num)

SOLVER_UTILS_EXPORT void	SetIterationNumberPIT (int num)

SOLVER_UTILS_EXPORT void	SetWindowNumberPIT (int num)

SOLVER_UTILS_EXPORT Array< OneD, const Array< OneD, NekDouble > >	GetTraceNormals ()

SOLVER_UTILS_EXPORT void	SetTime (const NekDouble time)

SOLVER_UTILS_EXPORT void	SetTimeStep (const NekDouble timestep)

SOLVER_UTILS_EXPORT void	SetInitialStep (const int step)

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

SOLVER_UTILS_EXPORT bool	NegatedOp ()
	Identify if operator is negated in DoSolve. More...

Static Public Attributes
static std::string	cmdSetStartTime

static std::string	cmdSetStartChkNum

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

SOLVER_UTILS_EXPORT void	v_InitObject (bool DeclareField=true) override
	Init object for UnsteadySystem class. More...

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

virtual SOLVER_UTILS_EXPORT void	v_PrintStatusInformation (const int step, const NekDouble cpuTime)
	Print Status Information. More...

virtual SOLVER_UTILS_EXPORT void	v_PrintSummaryStatistics (const NekDouble intTime)
	Print Summary Statistics. More...

SOLVER_UTILS_EXPORT void	v_DoInitialise (bool dumpInitialConditions=true) override
	Sets up initial conditions. More...

SOLVER_UTILS_EXPORT void	v_GenerateSummary (SummaryList &s) override
	Print a summary of time stepping parameters. 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_PreIntegrate (int step)

virtual SOLVER_UTILS_EXPORT bool	v_PostIntegrate (int step)

virtual SOLVER_UTILS_EXPORT bool	v_RequireFwdTrans ()

virtual SOLVER_UTILS_EXPORT void	v_SteadyStateResidual (int step, Array< OneD, NekDouble > &L2)

virtual SOLVER_UTILS_EXPORT bool	v_UpdateTimeStepCheck ()

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

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...

SOLVER_UTILS_EXPORT void	DoDummyProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Perform dummy projection. 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 void	v_InitObject (bool DeclareFeld=true)
	Initialisation object for EquationSystem. More...

virtual SOLVER_UTILS_EXPORT void	v_DoInitialise (bool dumpInitialConditions=true)
	Virtual function for initialisation implementation. More...

virtual SOLVER_UTILS_EXPORT void	v_DoSolve ()
	Virtual function for solve implementation. 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_GenerateSummary (SummaryList &l)
	Virtual function for generating summary information. 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 bool	v_NegatedOp (void)
	Virtual function to identify if operator is negated in DoSolve. More...

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

Protected Attributes
LibUtilities::TimeIntegrationSchemeSharedPtr	m_intScheme
	Wrapper to the time integration scheme. More...

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

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

std::vector< int >	m_intVariables

NekDouble	m_cflSafetyFactor
	CFL safety factor (comprise between 0 to 1). More...

NekDouble	m_CFLGrowth
	CFL growth rate. More...

NekDouble	m_CFLEnd
	Maximun cfl in cfl growth. More...

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

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...

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

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

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

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

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

std::ofstream	m_errFile

NekDouble	m_epsilon
	Diffusion coefficient. More...

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

bool	m_verbose

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...

NekDouble	m_lastCheckTime

NekDouble	m_TimeIncrementFactor

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_infosteps
	Number of time steps between outputting status information. More...

int	m_iterPIT = 0
	Number of parallel-in-time time iteration. More...

int	m_windowPIT = 0
	Index of windows for parallel-in-time time iteration. 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...

Array< OneD, NekDouble >	m_movingFrameVelsxyz
	Moving frame of reference velocities (u, v, w, omega_x, omega_y, omega_z, a_x, a_y, a_z, domega_x, domega_y, domega_z) More...

Array< OneD, NekDouble >	m_movingFrameData
	Moving frame of reference angles with respect to the. More...

boost::numeric::ublas::matrix< NekDouble >	m_movingFrameProjMat
	Projection matrix for transformation between inertial and moving. 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 Member Functions
SOLVER_UTILS_EXPORT void	AppendOutput1D (void)
	Print the solution at each solution point in a txt file. More...

void	InitializeSteadyState ()

bool	CheckSteadyState (int step, const NekDouble &totCPUTime=0.0)
	Calculate whether the system has reached a steady state by observing residuals to a user-defined tolerance. More...

Additional Inherited Members
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 []

static std::string	projectionTypeLookupIds []

Detailed Description

Base class for unsteady solvers.

Provides the underlying timestepping framework for unsteady solvers including the general timestepping routines. This class is not intended to be directly instantiated, but rather is a base class on which to define unsteady solvers.

For details on implementing unsteady solvers see sectionADRSolverModuleImplementation here

Definition at line 45 of file UnsteadySystem.h.

Constructor & Destructor Documentation

◆ ~UnsteadySystem()

Nektar::SolverUtils::UnsteadySystem::~UnsteadySystem ( )

override

Destructor.

Destructor for the class UnsteadyAdvection.

Definition at line 176 of file UnsteadySystem.cpp.

177{

178}

◆ UnsteadySystem()

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

protected

Initialises UnsteadySystem class members.

Processes SolverInfo parameters from the session file and sets up timestepping-specific code.

Parameters

pSession Session object to read parameters from.

Definition at line 74 of file UnsteadySystem.cpp.

    : EquationSystem(pSession, pGraph)
 
{
}

Member Function Documentation

◆ AppendOutput1D()

void Nektar::SolverUtils::UnsteadySystem::AppendOutput1D ( void )

private

Print the solution at each solution point in a txt file.

Stores the solution in a file for 1D problems only. This method has been implemented to facilitate the post-processing for 1D problems.

Definition at line 635 of file UnsteadySystem.cpp.

{
    // Coordinates of the quadrature points in the real physical space.
    Array<OneD, NekDouble> x(GetNpoints());
    Array<OneD, NekDouble> y(GetNpoints());
    Array<OneD, NekDouble> z(GetNpoints());
    m_fields[0]->GetCoords(x, y, z);
 
    // Print out the solution in a txt file.
    ofstream outfile;
    outfile.open("solution1D.txt");
    for (int i = 0; i < GetNpoints(); i++)
    {
        outfile << scientific << setw(17) << setprecision(16) << x[i] << "  "
                << m_fields[m_intVariables[0]]->GetPhys()[i] << endl;
    }
    outfile << endl << endl;
    outfile.close();
}

References Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, m_intVariables, and Nektar::UnitTests::z().

Referenced by v_DoSolve().

◆ CheckForRestartTime()

void Nektar::SolverUtils::UnsteadySystem::CheckForRestartTime	(	NekDouble &	time,
		int &	nchk
	)

protected

Definition at line 658 of file UnsteadySystem.cpp.

{
    if (m_session->DefinesFunction("InitialConditions"))
    {
        for (int i = 0; i < m_fields.size(); ++i)
        {
            LibUtilities::FunctionType vType;
 
            vType = m_session->GetFunctionType("InitialConditions",
                                               m_session->GetVariable(i));
 
            if (vType == LibUtilities::eFunctionTypeFile)
            {
                std::string filename = m_session->GetFunctionFilename(
                    "InitialConditions", m_session->GetVariable(i));
 
                fs::path pfilename(filename);
 
                // Redefine path for parallel file which is in directory.
                if (fs::is_directory(pfilename))
                {
                    fs::path metafile("Info.xml");
                    fs::path fullpath = pfilename / metafile;
                    filename          = LibUtilities::PortablePath(fullpath);
                }
                LibUtilities::FieldIOSharedPtr fld =
                    LibUtilities::FieldIO::CreateForFile(m_session, filename);
                fld->ImportFieldMetaData(filename, m_fieldMetaDataMap);
 
                // Check to see if time defined.
                if (m_fieldMetaDataMap != LibUtilities::NullFieldMetaDataMap)
                {
                    auto iter = m_fieldMetaDataMap.find("Time");
                    if (iter != m_fieldMetaDataMap.end())
                    {
                        time = boost::lexical_cast<NekDouble>(iter->second);
                    }
 
                    iter = m_fieldMetaDataMap.find("ChkFileNum");
                    if (iter != m_fieldMetaDataMap.end())
                    {
                        nchk = boost::lexical_cast<NekDouble>(iter->second);
                    }
                }
 
                break;
            }
        }
    }
    if (m_session->DefinesCmdLineArgument("set-start-time"))
    {
        time = boost::lexical_cast<NekDouble>(
            m_session->GetCmdLineArgument<std::string>("set-start-time")
                .c_str());
    }
    if (m_session->DefinesCmdLineArgument("set-start-chknumber"))
    {
        nchk = boost::lexical_cast<int>(
            m_session->GetCmdLineArgument<std::string>("set-start-chknumber"));
    }
    ASSERTL0(time >= 0 && nchk >= 0,
             "Starting time and checkpoint number should be >= 0");
}

References ASSERTL0, Nektar::LibUtilities::FieldIO::CreateForFile(), Nektar::LibUtilities::eFunctionTypeFile, Nektar::SolverUtils::EquationSystem::m_fieldMetaDataMap, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_session, Nektar::LibUtilities::NullFieldMetaDataMap, and Nektar::LibUtilities::PortablePath().

Referenced by v_DoInitialise().

◆ CheckSteadyState()

bool Nektar::SolverUtils::UnsteadySystem::CheckSteadyState	(	int	step,
		const NekDouble &	totCPUTime = `0.0`
	)

private

Calculate whether the system has reached a steady state by observing residuals to a user-defined tolerance.

Definition at line 853 of file UnsteadySystem.cpp.

{
    const int nPoints = GetTotPoints();
    const int nFields = m_fields.size();
 
    // Holds L2 errors.
    Array<OneD, NekDouble> L2(nFields);
 
    SteadyStateResidual(step, L2);
 
    if (m_infosteps && m_comm->GetRank() == 0 &&
        (((step + 1) % m_infosteps == 0) || ((step == m_initialStep))))
    {
        // Output time.
        m_errFile << boost::format("%25.19e") % m_time;
 
        m_errFile << " " << boost::format("%25.19e") % totCPUTime;
 
        int stepp = step + 1;
 
        m_errFile << " " << boost::format("%25.19e") % stepp;
 
        // Output residuals.
        for (int i = 0; i < nFields; ++i)
        {
            m_errFile << " " << boost::format("%25.19e") % L2[i];
        }
 
        m_errFile << endl;
    }
 
    // Calculate maximum L2 error.
    NekDouble maxL2 = Vmath::Vmax(nFields, L2, 1);
 
    if (m_infosteps && m_session->DefinesCmdLineArgument("verbose") &&
        m_comm->GetRank() == 0 && ((step + 1) % m_infosteps == 0))
    {
        cout << "-- Maximum L^2 residual: " << maxL2 << endl;
    }
 
    if (maxL2 <= m_steadyStateTol)
    {
        return true;
    }
 
    for (int i = 0; i < m_fields.size(); ++i)
    {
        Vmath::Vcopy(nPoints, m_fields[i]->GetPhys(), 1, m_previousSolution[i],
                     1);
    }
 
    return false;
}

References CellMLToNektar.pycml::format, Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::SolverUtils::EquationSystem::m_comm, m_errFile, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_infosteps, Nektar::SolverUtils::EquationSystem::m_initialStep, m_previousSolution, Nektar::SolverUtils::EquationSystem::m_session, m_steadyStateTol, Nektar::SolverUtils::EquationSystem::m_time, SteadyStateResidual(), Vmath::Vcopy(), and Vmath::Vmax().

Referenced by v_DoSolve().

◆ DoDummyProjection()

void Nektar::SolverUtils::UnsteadySystem::DoDummyProjection	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray,
		const NekDouble	time
	)

protected

Perform dummy projection.

Definition at line 949 of file UnsteadySystem.cpp.

{
 
    if (&inarray != &outarray)
    {
        for (int i = 0; i < inarray.size(); ++i)
        {
            Vmath::Vcopy(GetNpoints(), inarray[i], 1, outarray[i], 1);
        }
    }
}

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

Referenced by Nektar::Bidomain::v_InitObject(), Nektar::BidomainRoth::v_InitObject(), and Nektar::Monodomain::v_InitObject().

◆ GetTimeIntegrationScheme()

LibUtilities::TimeIntegrationSchemeSharedPtr & Nektar::SolverUtils::UnsteadySystem::GetTimeIntegrationScheme ( )

Returns the time integration scheme.

Definition at line 191 of file UnsteadySystem.cpp.

{
    return m_intScheme;
}

References m_intScheme.

◆ GetTimeIntegrationSchemeOperators()

LibUtilities::TimeIntegrationSchemeOperators & Nektar::SolverUtils::UnsteadySystem::GetTimeIntegrationSchemeOperators ( )

Returns the time integration scheme operators.

Definition at line 200 of file UnsteadySystem.cpp.

{
    return m_ode;
}

References m_ode.

◆ GetTimeStep() [1/2]

SOLVER_UTILS_EXPORT NekDouble Nektar::SolverUtils::UnsteadySystem::GetTimeStep ( void )

inline

Definition at line 58 of file UnsteadySystem.h.

    {
        return EquationSystem::GetTimeStep();
    }

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

Referenced by v_DoSolve().

◆ GetTimeStep() [2/2]

SOLVER_UTILS_EXPORT NekDouble Nektar::SolverUtils::UnsteadySystem::GetTimeStep ( const Array< OneD, const Array< OneD, NekDouble > > & inarray )

inline

Calculate the larger time-step mantaining the problem stable.

Definition at line 53 of file UnsteadySystem.h.

    {
        return v_GetTimeStep(inarray);
    }

References v_GetTimeStep().

◆ InitializeSteadyState()

void Nektar::SolverUtils::UnsteadySystem::InitializeSteadyState ( )

private

Definition at line 813 of file UnsteadySystem.cpp.

{
    if (m_steadyStateTol > 0.0)
    {
        const int nPoints = m_fields[0]->GetTotPoints();
        m_previousSolution =
            Array<OneD, Array<OneD, NekDouble>>(m_fields.size());
 
        for (int i = 0; i < m_fields.size(); ++i)
        {
            m_previousSolution[i] = Array<OneD, NekDouble>(nPoints);
            Vmath::Vcopy(nPoints, m_fields[i]->GetPhys(), 1,
                         m_previousSolution[i], 1);
        }
 
        if (m_comm->GetRank() == 0)
        {
            std::string fName =
                m_session->GetSessionName() + std::string(".resd");
            m_errFile.open(fName.c_str());
            m_errFile << setw(26) << left << "# Time";
 
            m_errFile << setw(26) << left << "CPU_Time";
 
            m_errFile << setw(26) << left << "Step";
 
            for (int i = 0; i < m_fields.size(); ++i)
            {
                m_errFile << setw(26) << m_session->GetVariables()[i];
            }
 
            m_errFile << endl;
        }
    }
}

References Nektar::SolverUtils::EquationSystem::m_comm, m_errFile, Nektar::SolverUtils::EquationSystem::m_fields, m_previousSolution, Nektar::SolverUtils::EquationSystem::m_session, m_steadyStateTol, and Vmath::Vcopy().

Referenced by v_DoInitialise().

◆ MaxTimeStepEstimator()

NekDouble Nektar::SolverUtils::UnsteadySystem::MaxTimeStepEstimator ( )

protected

Get the maximum timestep estimator for cfl control.

Returns the maximum time estimator for CFL control.

Definition at line 183 of file UnsteadySystem.cpp.

{
    return m_intScheme->GetTimeStability();
}

References m_intScheme.

Referenced by Nektar::CompressibleFlowSystem::GetElmtTimeStep().

◆ SetTimeStep()

SOLVER_UTILS_EXPORT void Nektar::SolverUtils::UnsteadySystem::SetTimeStep ( const NekDouble timestep )

inline

Definition at line 63 of file UnsteadySystem.h.

    {
        EquationSystem::SetTimeStep(timestep);
    }

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

◆ SteadyStateResidual()

SOLVER_UTILS_EXPORT void Nektar::SolverUtils::UnsteadySystem::SteadyStateResidual	(	int	step,
		Array< OneD, NekDouble > &	L2
	)

inline

Definition at line 68 of file UnsteadySystem.h.

    {
        v_SteadyStateResidual(step, L2);
    }

References v_SteadyStateResidual().

Referenced by CheckSteadyState().

◆ SVVVarDiffCoeff()

void Nektar::SolverUtils::UnsteadySystem::SVVVarDiffCoeff	(	const Array< OneD, Array< OneD, NekDouble > >	vel,
		StdRegions::VarCoeffMap &	varCoeffMap
	)

protected

Evaluate the SVV diffusion coefficient according to Moura's paper where it should proportional to h time velocity.

Definition at line 770 of file UnsteadySystem.cpp.

{
    int phystot = m_fields[0]->GetTotPoints();
    int nvel    = vel.size();
 
    Array<OneD, NekDouble> varcoeff(phystot), tmp;
 
    // Calculate magnitude of v.
    Vmath::Vmul(phystot, vel[0], 1, vel[0], 1, varcoeff, 1);
    for (int n = 1; n < nvel; ++n)
    {
        Vmath::Vvtvp(phystot, vel[n], 1, vel[n], 1, varcoeff, 1, varcoeff, 1);
    }
    Vmath::Vsqrt(phystot, varcoeff, 1, varcoeff, 1);
 
    for (int i = 0; i < m_fields[0]->GetNumElmts(); ++i)
    {
        int offset = m_fields[0]->GetPhys_Offset(i);
        int nq     = m_fields[0]->GetExp(i)->GetTotPoints();
        Array<OneD, NekDouble> unit(nq, 1.0);
 
        int nmodes = 0;
 
        for (int n = 0; n < m_fields[0]->GetExp(i)->GetNumBases(); ++n)
        {
            nmodes = max(nmodes, m_fields[0]->GetExp(i)->GetBasisNumModes(n));
        }
 
        NekDouble h = m_fields[0]->GetExp(i)->Integral(unit);
        h           = pow(h, (NekDouble)(1.0 / nvel)) / ((NekDouble)nmodes);
 
        Vmath::Smul(nq, h, varcoeff + offset, 1, tmp = varcoeff + offset, 1);
    }
 
    // Set up map with eVarCoffLaplacian key.
    varCoeffMap[StdRegions::eVarCoeffLaplacian] = varcoeff;
}

References Nektar::StdRegions::eVarCoeffLaplacian, Nektar::SolverUtils::EquationSystem::m_fields, Vmath::Smul(), Vmath::Vmul(), Vmath::Vsqrt(), and Vmath::Vvtvp().

Referenced by Nektar::UnsteadyViscousBurgers::DoImplicitSolve().

◆ v_DoInitialise()

void Nektar::SolverUtils::UnsteadySystem::v_DoInitialise ( bool dumpInitialConditions = true )

overrideprotectedvirtual

Sets up initial conditions.

Sets the initial conditions.

Reimplemented from Nektar::SolverUtils::EquationSystem.

Reimplemented in Nektar::VCSImplicit, Nektar::SolverUtils::FileSolution, Nektar::PulseWaveSystem, Nektar::MMFSWE, Nektar::CoupledLinearNS, Nektar::VCSMapping, and Nektar::VelocityCorrectionScheme.

Definition at line 594 of file UnsteadySystem.cpp.

{
    CheckForRestartTime(m_time, m_nchk);
    SetBoundaryConditions(m_time);
    SetInitialConditions(m_time, dumpInitialConditions);
    InitializeSteadyState();
}

References CheckForRestartTime(), InitializeSteadyState(), Nektar::SolverUtils::EquationSystem::m_nchk, Nektar::SolverUtils::EquationSystem::m_time, Nektar::SolverUtils::EquationSystem::SetBoundaryConditions(), and Nektar::SolverUtils::EquationSystem::SetInitialConditions().

Referenced by Nektar::VCSMapping::v_DoInitialise(), and Nektar::VelocityCorrectionScheme::v_DoInitialise().

◆ v_DoSolve()

void Nektar::SolverUtils::UnsteadySystem::v_DoSolve ( void )

overrideprotectedvirtual

Solves an unsteady problem.

Initialises the time integration scheme (as specified in the session file), and perform the time integration.

Reimplemented from Nektar::SolverUtils::EquationSystem.

Reimplemented in Nektar::MMFAdvection, Nektar::CFSImplicit, Nektar::MMFMaxwell, Nektar::PulseWaveSystem, Nektar::MMFSWE, and Nektar::CoupledLinearNS.

Definition at line 210 of file UnsteadySystem.cpp.

{
    ASSERTL0(m_intScheme != nullptr, "No time integration scheme.");
 
    int i          = 1;
    int nvariables = 0;
    int nfields    = m_fields.size();
    if (m_intVariables.empty())
    {
        for (i = 0; i < nfields; ++i)
        {
            m_intVariables.push_back(i);
        }
        nvariables = nfields;
    }
    else
    {
        nvariables = m_intVariables.size();
    }
 
    // Integrate in wave-space if using homogeneous1D.
    if (m_HomogeneousType != eNotHomogeneous && m_homoInitialFwd)
    {
        for (i = 0; i < nfields; ++i)
        {
            m_fields[i]->HomogeneousFwdTrans(m_fields[i]->GetTotPoints(),
                                             m_fields[i]->GetPhys(),
                                             m_fields[i]->UpdatePhys());
            m_fields[i]->SetWaveSpace(true);
            m_fields[i]->SetPhysState(false);
        }
    }
 
    // Set up wrapper to fields data storage.
    Array<OneD, Array<OneD, NekDouble>> fields(nvariables);
 
    // Order storage to list time-integrated fields first.
    for (i = 0; i < nvariables; ++i)
    {
        fields[i] = m_fields[m_intVariables[i]]->UpdatePhys();
        m_fields[m_intVariables[i]]->SetPhysState(false);
    }
 
    // Initialise time integration scheme.
    m_intScheme->InitializeScheme(m_timestep, fields, m_time, m_ode);
 
    // Initialise filters.
    for (auto &x : m_filters)
    {
        x.second->Initialise(m_fields, m_time);
    }
 
    LibUtilities::Timer timer;
    bool doCheckTime        = false;
    int step                = m_initialStep;
    int stepCounter         = 0;
    NekDouble intTime       = 0.0;
    NekDouble cpuTime       = 0.0;
    NekDouble cpuPrevious   = 0.0;
    NekDouble elapsed       = 0.0;
    NekDouble totFilterTime = 0.0;
 
    m_lastCheckTime = 0.0;
 
    Array<OneD, int> abortFlags(2, 0);
    string abortFile = "abort";
    if (m_session->DefinesSolverInfo("CheckAbortFile"))
    {
        abortFile = m_session->GetSolverInfo("CheckAbortFile");
    }
 
    NekDouble tmp_cflSafetyFactor = m_cflSafetyFactor;
    while ((step < m_steps || m_time < m_fintime - NekConstants::kNekZeroTol) &&
           abortFlags[1] == 0)
    {
        if (m_CFLGrowth > 1.0 && m_cflSafetyFactor < m_CFLEnd)
        {
            tmp_cflSafetyFactor =
                min(m_CFLEnd, m_CFLGrowth * tmp_cflSafetyFactor);
        }
 
        // Frozen preconditioner checks.
        if (!m_comm->IsParallelInTime())
        {
            if (v_UpdateTimeStepCheck())
            {
                m_cflSafetyFactor = tmp_cflSafetyFactor;
 
                if (m_cflSafetyFactor)
                {
                    m_timestep = GetTimeStep(fields);
                }
 
                // Ensure that the final timestep finishes at the final
                // time, or at a prescribed IO_CheckTime.
                if (m_time + m_timestep > m_fintime && m_fintime > 0.0)
                {
                    m_timestep = m_fintime - m_time;
                }
                else if (m_checktime &&
                         m_time + m_timestep - m_lastCheckTime >= m_checktime)
                {
                    m_lastCheckTime += m_checktime;
                    m_timestep  = m_lastCheckTime - m_time;
                    doCheckTime = true;
                }
            }
        }
 
        if (m_TimeIncrementFactor > 1.0)
        {
            NekDouble timeincrementFactor = m_TimeIncrementFactor;
            m_timestep *= timeincrementFactor;
 
            if (m_time + m_timestep > m_fintime && m_fintime > 0.0)
            {
                m_timestep = m_fintime - m_time;
            }
        }
 
        // Perform any solver-specific pre-integration steps.
        timer.Start();
        if (v_PreIntegrate(step))
        {
            break;
        }
 
        ASSERTL0(m_timestep > 0, "m_timestep < 0");
 
        fields = m_intScheme->TimeIntegrate(stepCounter, m_timestep);
        timer.Stop();
 
        m_time += m_timestep;
        elapsed = timer.TimePerTest(1);
        intTime += elapsed;
        cpuTime += elapsed;
 
        // Write out status information.
        v_PrintStatusInformation(step, cpuTime);
        if (m_infosteps &&
            m_session->GetComm()->GetSpaceComm()->GetRank() == 0 &&
            !((step + 1) % m_infosteps))
        {
            cpuPrevious = cpuTime;
            cpuTime     = 0.0;
        }
 
        // Transform data into coefficient space.
        for (i = 0; i < nvariables; ++i)
        {
            // Copy fields into ExpList::m_phys.
            m_fields[m_intVariables[i]]->SetPhys(fields[i]);
            if (v_RequireFwdTrans())
            {
                m_fields[m_intVariables[i]]->FwdTransLocalElmt(
                    m_fields[m_intVariables[i]]->GetPhys(),
                    m_fields[m_intVariables[i]]->UpdateCoeffs());
            }
            m_fields[m_intVariables[i]]->SetPhysState(false);
        }
 
        // Perform any solver-specific post-integration steps.
        if (v_PostIntegrate(step))
        {
            break;
        }
 
        // Check for steady-state.
        if (m_steadyStateSteps && m_steadyStateTol > 0.0 &&
            (!((step + 1) % m_steadyStateSteps)))
        {
            if (CheckSteadyState(step, intTime))
            {
                if (m_comm->GetRank() == 0)
                {
                    cout << "Reached Steady State to tolerance "
                         << m_steadyStateTol << endl;
                }
                break;
            }
        }
 
        // Test for abort conditions (nan, or abort file).
        if (m_abortSteps && !((step + 1) % m_abortSteps))
        {
            abortFlags[0] = 0;
            for (i = 0; i < nvariables; ++i)
            {
                if (Vmath::Nnan(m_fields[m_intVariables[i]]->GetPhys().size(),
                                m_fields[m_intVariables[i]]->GetPhys(), 1) > 0)
                {
                    abortFlags[0] = 1;
                }
            }
 
            // Rank zero looks for abort file and deletes it
            // if it exists. Communicates the abort.
            if (m_session->GetComm()->GetSpaceComm()->GetRank() == 0)
            {
                if (fs::exists(abortFile))
                {
                    fs::remove(abortFile);
                    abortFlags[1] = 1;
                }
            }
 
            m_session->GetComm()->GetSpaceComm()->AllReduce(
                abortFlags, LibUtilities::ReduceMax);
 
            ASSERTL0(!abortFlags[0], "NaN found during time integration.");
        }
 
        // Update filters.
        for (auto &x : m_filters)
        {
            timer.Start();
            x.second->Update(m_fields, m_time);
            timer.Stop();
            elapsed = timer.TimePerTest(1);
            totFilterTime += elapsed;
 
            // Write out individual filter status information.
            if (m_filtersInfosteps && m_session->GetComm()->GetRank() == 0 &&
                !((step + 1) % m_filtersInfosteps) && !m_filters.empty() &&
                m_session->DefinesCmdLineArgument("verbose"))
            {
                stringstream s0;
                s0 << x.first << ":";
                stringstream s1;
                s1 << elapsed << "s";
                stringstream s2;
                s2 << elapsed / cpuPrevious * 100 << "%";
                cout << "CPU time for filter " << setw(25) << left << s0.str()
                     << setw(12) << left << s1.str() << endl
                     << "\t Percentage of time integration:     " << setw(10)
                     << left << s2.str() << endl;
            }
        }
 
        // Write out overall filter status information.
        if (m_filtersInfosteps && m_session->GetComm()->GetRank() == 0 &&
            !((step + 1) % m_filtersInfosteps) && !m_filters.empty())
        {
            stringstream ss;
            ss << totFilterTime << "s";
            cout << "Total filters CPU Time:\t\t\t     " << setw(10) << left
                 << ss.str() << endl;
        }
        totFilterTime = 0.0;
 
        // Write out checkpoint files.
        if ((m_checksteps && !((step + 1) % m_checksteps)) || doCheckTime)
        {
            if (m_HomogeneousType != eNotHomogeneous)
            {
                // Transform to physical space for output.
                vector<bool> transformed(nfields, false);
                for (i = 0; i < nfields; i++)
                {
                    if (m_fields[i]->GetWaveSpace())
                    {
                        m_fields[i]->SetWaveSpace(false);
                        m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(),
                                              m_fields[i]->UpdatePhys());
                        transformed[i] = true;
                    }
                }
                Checkpoint_Output(m_nchk);
                m_nchk++;
 
                // Transform back to wave-space after output.
                for (i = 0; i < nfields; i++)
                {
                    if (transformed[i])
                    {
                        m_fields[i]->SetWaveSpace(true);
                        m_fields[i]->HomogeneousFwdTrans(
                            m_fields[i]->GetTotPoints(), m_fields[i]->GetPhys(),
                            m_fields[i]->UpdatePhys());
                        m_fields[i]->SetPhysState(false);
                    }
                }
            }
            else
            {
                Checkpoint_Output(m_nchk);
                m_nchk++;
            }
            doCheckTime = false;
        }
 
        // Step advance.
        ++step;
        ++stepCounter;
    }
 
    // Print out summary statistics.
    v_PrintSummaryStatistics(intTime);
 
    // If homogeneous, transform back into physical space if necessary.
    if (m_HomogeneousType != eNotHomogeneous)
    {
        for (i = 0; i < nfields; i++)
        {
            if (m_fields[i]->GetWaveSpace())
            {
                m_fields[i]->SetWaveSpace(false);
                m_fields[i]->BwdTrans(m_fields[i]->GetCoeffs(),
                                      m_fields[i]->UpdatePhys());
            }
        }
    }
    else
    {
        for (i = 0; i < nvariables; ++i)
        {
            m_fields[m_intVariables[i]]->SetPhysState(true);
        }
    }
 
    // Finalise filters.
    for (auto &x : m_filters)
    {
        x.second->Finalise(m_fields, m_time);
    }
 
    // Print for 1D problems.
    if (m_spacedim == 1)
    {
        AppendOutput1D();
    }
}

Referenced by Nektar::CFSImplicit::v_DoSolve(), and Nektar::CoupledLinearNS::v_DoSolve().

◆ v_GenerateSummary()

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

overrideprotectedvirtual

Print a summary of time stepping parameters.

Prints a summary with some information regards the time-stepping.

Reimplemented from Nektar::SolverUtils::EquationSystem.

Reimplemented in Nektar::MMFAdvection, Nektar::UnsteadyAdvection, Nektar::UnsteadyAdvectionDiffusion, Nektar::UnsteadyInviscidBurgers, Nektar::UnsteadyViscousBurgers, Nektar::CompressibleFlowSystem, Nektar::MMFDiffusion, Nektar::ImageWarpingSystem, Nektar::CoupledLinearNS, Nektar::SmoothedProfileMethod, Nektar::VelocityCorrectionScheme, Nektar::VCSImplicit, Nektar::VCSWeakPressure, Nektar::MMFMaxwell, Nektar::PulseWavePropagation, Nektar::LinearSWE, Nektar::MMFSWE, Nektar::NonlinearPeregrine, Nektar::NonlinearSWE, Nektar::ShallowWaterSystem, Nektar::CFLtester, Nektar::UnsteadyDiffusion, Nektar::Bidomain, Nektar::BidomainRoth, and Nektar::Monodomain.

Definition at line 606 of file UnsteadySystem.cpp.

{
    EquationSystem::v_GenerateSummary(s);
    AddSummaryItem(s, "Advect. advancement",
                   m_explicitAdvection ? "explicit" : "implicit");
 
    AddSummaryItem(s, "Diffuse. advancement",
                   m_explicitDiffusion ? "explicit" : "implicit");
 
    if (m_session->GetSolverInfo("EQTYPE") ==
        "SteadyAdvectionDiffusionReaction")
    {
        AddSummaryItem(s, "React. advancement",
                       m_explicitReaction ? "explicit" : "implicit");
    }
 
    AddSummaryItem(s, "Time Step", m_timestep);
    AddSummaryItem(s, "No. of Steps", m_steps);
    AddSummaryItem(s, "Checkpoints (steps)", m_checksteps);
    if (m_intScheme)
    {
        AddSummaryItem(s, "Integration Type", m_intScheme->GetName());
    }
}

References Nektar::SolverUtils::AddSummaryItem(), Nektar::SolverUtils::EquationSystem::m_checksteps, m_explicitAdvection, m_explicitDiffusion, m_explicitReaction, m_intScheme, Nektar::SolverUtils::EquationSystem::m_session, Nektar::SolverUtils::EquationSystem::m_steps, Nektar::SolverUtils::EquationSystem::m_timestep, and Nektar::SolverUtils::EquationSystem::v_GenerateSummary().

◆ v_GetTimeStep()

NekDouble Nektar::SolverUtils::UnsteadySystem::v_GetTimeStep ( const Array< OneD, const Array< OneD, NekDouble > > & inarray )

protectedvirtual

Return the timestep to be used for the next step in the time-marching loop.

See also: UnsteadySystem::GetTimeStep

Reimplemented in Nektar::CompressibleFlowSystem.

Definition at line 728 of file UnsteadySystem.cpp.

{
    NEKERROR(ErrorUtil::efatal, "Not defined for this class");
    return 0.0;
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by GetTimeStep().

◆ v_InitObject()

void Nektar::SolverUtils::UnsteadySystem::v_InitObject ( bool DeclareField = true )

overrideprotectedvirtual

Init object for UnsteadySystem class.

Initialization object for UnsteadySystem class.

Reimplemented from Nektar::SolverUtils::EquationSystem.

Reimplemented in Nektar::PulseWavePropagation, Nektar::PulseWaveSystem, Nektar::Bidomain, Nektar::BidomainRoth, Nektar::Monodomain, Nektar::NavierStokesCFE, Nektar::MMFDiffusion, Nektar::ImageWarpingSystem, Nektar::CoupledLinearNS, Nektar::IncNavierStokes, Nektar::SmoothedProfileMethod, Nektar::VCSMapping, Nektar::VelocityCorrectionScheme, Nektar::SolverUtils::FileSolution, Nektar::AcousticSystem, Nektar::APE, Nektar::LEE, Nektar::CFLtester, Nektar::MMFAdvection, Nektar::UnsteadyAdvection, Nektar::UnsteadyAdvectionDiffusion, Nektar::UnsteadyDiffusion, Nektar::UnsteadyInviscidBurgers, Nektar::UnsteadyReactionDiffusion, Nektar::UnsteadyViscousBurgers, Nektar::CompressibleFlowSystem, Nektar::CFSImplicit, Nektar::EulerCFE, Nektar::EulerImplicitCFE, Nektar::NavierStokesCFEAxisym, Nektar::NavierStokesImplicitCFE, Nektar::Dummy, Nektar::MMFMaxwell, Nektar::LinearSWE, Nektar::MMFSWE, Nektar::NonlinearPeregrine, Nektar::NonlinearSWE, and Nektar::ShallowWaterSystem.

Definition at line 85 of file UnsteadySystem.cpp.

{
    EquationSystem::v_InitObject(DeclareField);
 
    m_initialStep = 0;
 
    // Load SolverInfo parameters.
    m_session->MatchSolverInfo("DIFFUSIONADVANCEMENT", "Explicit",
                               m_explicitDiffusion, true);
    m_session->MatchSolverInfo("ADVECTIONADVANCEMENT", "Explicit",
                               m_explicitAdvection, true);
    m_session->MatchSolverInfo("REACTIONADVANCEMENT", "Explicit",
                               m_explicitReaction, true);
    m_session->LoadParameter("CheckAbortSteps", m_abortSteps, 1);
 
    // Steady state tolerance.
    m_session->LoadParameter("SteadyStateTol", m_steadyStateTol, 0.0);
 
    // Frequency for checking steady state.
    m_session->LoadParameter("SteadyStateSteps", m_steadyStateSteps, 1);
 
    // For steady problems, we do not initialise the time integration.
    if (m_session->DefinesSolverInfo("TimeIntegrationMethod") ||
        m_session->DefinesTimeIntScheme())
    {
        LibUtilities::TimeIntScheme timeInt;
        if (m_session->DefinesTimeIntScheme())
        {
            timeInt = m_session->GetTimeIntScheme();
        }
        else
        {
            timeInt.method = m_session->GetSolverInfo("TimeIntegrationMethod");
        }
 
        m_intScheme =
            LibUtilities::GetTimeIntegrationSchemeFactory().CreateInstance(
                timeInt.method, timeInt.variant, timeInt.order,
                timeInt.freeParams);
 
        // Load generic input parameters.
        m_session->LoadParameter("IO_InfoSteps", m_infosteps, 0);
        m_session->LoadParameter("IO_FiltersInfoSteps", m_filtersInfosteps,
                                 10 * m_infosteps);
        m_session->LoadParameter("CFL", m_cflSafetyFactor, 0.0);
        m_session->LoadParameter("CFLEnd", m_CFLEnd, 0.0);
        m_session->LoadParameter("CFLGrowth", m_CFLGrowth, 1.0);
 
        // Ensure that there is no conflict of parameters.
        if (m_cflSafetyFactor > 0.0)
        {
            // Check final condition.
            ASSERTL0(m_fintime == 0.0 || m_steps == 0,
                     "Final condition not unique: "
                     "fintime > 0.0 and Nsteps > 0");
            // Check timestep condition.
            ASSERTL0(m_timestep == 0.0,
                     "Timestep not unique: timestep > 0.0 & CFL > 0.0");
        }
        else
        {
            ASSERTL0(m_timestep != 0.0, "Need to set either TimeStep or CFL");
        }
 
        // Ensure that there is no conflict of parameters.
        if (m_CFLGrowth > 1.0)
        {
            // Check final condition.
            ASSERTL0(m_CFLEnd >= m_cflSafetyFactor,
                     "m_CFLEnd >= m_cflSafetyFactor required");
        }
 
        // Set up time to be dumped in field information.
        m_fieldMetaDataMap["Time"] = boost::lexical_cast<std::string>(m_time);
    }
 
    // By default attempt to forward transform initial condition.
    m_homoInitialFwd = true;
 
    // Set up filters.
    for (auto &x : m_session->GetFilters())
    {
        m_filters.push_back(make_pair(
            x.first, GetFilterFactory().CreateInstance(
                         x.first, m_session, shared_from_this(), x.second)));
    }
}

References ASSERTL0, Nektar::LibUtilities::NekFactory< tKey, tBase, tParam >::CreateInstance(), Nektar::LibUtilities::TimeIntScheme::freeParams, Nektar::SolverUtils::GetFilterFactory(), Nektar::LibUtilities::GetTimeIntegrationSchemeFactory(), m_abortSteps, m_CFLEnd, m_CFLGrowth, m_cflSafetyFactor, m_explicitAdvection, m_explicitDiffusion, m_explicitReaction, Nektar::SolverUtils::EquationSystem::m_fieldMetaDataMap, m_filters, m_filtersInfosteps, Nektar::SolverUtils::EquationSystem::m_fintime, m_homoInitialFwd, Nektar::SolverUtils::EquationSystem::m_infosteps, Nektar::SolverUtils::EquationSystem::m_initialStep, m_intScheme, Nektar::SolverUtils::EquationSystem::m_session, m_steadyStateSteps, m_steadyStateTol, Nektar::SolverUtils::EquationSystem::m_steps, Nektar::SolverUtils::EquationSystem::m_time, Nektar::SolverUtils::EquationSystem::m_timestep, Nektar::LibUtilities::TimeIntScheme::method, Nektar::LibUtilities::TimeIntScheme::order, Nektar::SolverUtils::EquationSystem::v_InitObject(), and Nektar::LibUtilities::TimeIntScheme::variant.

Referenced by Nektar::PulseWaveSystem::v_InitObject(), Nektar::SolverUtils::AdvectionSystem::v_InitObject(), Nektar::Bidomain::v_InitObject(), Nektar::BidomainRoth::v_InitObject(), Nektar::Monodomain::v_InitObject(), Nektar::MMFDiffusion::v_InitObject(), Nektar::MMFAdvection::v_InitObject(), Nektar::UnsteadyDiffusion::v_InitObject(), Nektar::Dummy::v_InitObject(), Nektar::MMFMaxwell::v_InitObject(), Nektar::MMFSWE::v_InitObject(), and Nektar::ShallowWaterSystem::v_InitObject().

◆ v_PostIntegrate()

bool Nektar::SolverUtils::UnsteadySystem::v_PostIntegrate ( int step )

protectedvirtual

Reimplemented in Nektar::SolverUtils::AdvectionSystem, Nektar::Dummy, Nektar::VelocityCorrectionScheme, and Nektar::SolverUtils::FileSolution.

Definition at line 746 of file UnsteadySystem.cpp.

{
    return false;
}

Referenced by v_DoSolve(), Nektar::SolverUtils::AdvectionSystem::v_PostIntegrate(), and Nektar::Dummy::v_PostIntegrate().

◆ v_PreIntegrate()

bool Nektar::SolverUtils::UnsteadySystem::v_PreIntegrate ( int step )

protectedvirtual

Reimplemented in Nektar::AcousticSystem, Nektar::UnsteadyAdvectionDiffusion, Nektar::Dummy, and Nektar::IncNavierStokes.

Definition at line 738 of file UnsteadySystem.cpp.

{
    return false;
}

Referenced by v_DoSolve(), Nektar::AcousticSystem::v_PreIntegrate(), and Nektar::Dummy::v_PreIntegrate().

◆ v_PrintStatusInformation()

void Nektar::SolverUtils::UnsteadySystem::v_PrintStatusInformation	(	const int	step,
		const NekDouble	cpuTime
	)

protectedvirtual

Print Status Information.

Reimplemented in Nektar::CFSImplicit.

Definition at line 543 of file UnsteadySystem.cpp.

{
    if (m_infosteps && m_session->GetComm()->GetSpaceComm()->GetRank() == 0 &&
        !((step + 1) % m_infosteps))
    {
        if (m_comm->IsParallelInTime())
        {
            cout << "RANK " << m_session->GetComm()->GetTimeComm()->GetRank()
                 << " Steps: " << setw(8) << left << step + 1 << " "
                 << "Time: " << setw(12) << left << m_time;
        }
        else
        {
            cout << "Steps: " << setw(8) << left << step + 1 << " "
                 << "Time: " << setw(12) << left << m_time;
        }
 
        if (m_cflSafetyFactor)
        {
            cout << " Time-step: " << setw(12) << left << m_timestep;
        }
 
        stringstream ss;
        ss << cpuTime << "s";
        cout << " CPU Time: " << setw(8) << left << ss.str() << endl;
    }
}

References m_cflSafetyFactor, Nektar::SolverUtils::EquationSystem::m_comm, Nektar::SolverUtils::EquationSystem::m_infosteps, Nektar::SolverUtils::EquationSystem::m_session, Nektar::SolverUtils::EquationSystem::m_time, and Nektar::SolverUtils::EquationSystem::m_timestep.

Referenced by v_DoSolve(), and Nektar::CFSImplicit::v_PrintStatusInformation().

◆ v_PrintSummaryStatistics()

void Nektar::SolverUtils::UnsteadySystem::v_PrintSummaryStatistics ( const NekDouble intTime )

protectedvirtual

Print Summary Statistics.

Reimplemented in Nektar::CFSImplicit.

Definition at line 572 of file UnsteadySystem.cpp.

{
    if (m_session->GetComm()->GetRank() == 0)
    {
        if (m_cflSafetyFactor > 0.0)
        {
            cout << "CFL safety factor : " << m_cflSafetyFactor << endl
                 << "CFL time-step     : " << m_timestep << endl;
        }
 
        if (m_session->GetSolverInfo("Driver") != "SteadyState" &&
            m_session->GetSolverInfo("Driver") != "Parareal" &&
            m_session->GetSolverInfo("Driver") != "PFASST")
        {
            cout << "Time-integration  : " << intTime << "s" << endl;
        }
    }
}

References m_cflSafetyFactor, Nektar::SolverUtils::EquationSystem::m_session, and Nektar::SolverUtils::EquationSystem::m_timestep.

Referenced by v_DoSolve(), and Nektar::CFSImplicit::v_PrintSummaryStatistics().

◆ v_RequireFwdTrans()

bool Nektar::SolverUtils::UnsteadySystem::v_RequireFwdTrans ( void )

protectedvirtual

Reimplemented in Nektar::Dummy, Nektar::VelocityCorrectionScheme, and Nektar::SolverUtils::FileSolution.

Definition at line 754 of file UnsteadySystem.cpp.

{
    return true;
}

Referenced by v_DoSolve().

◆ v_SteadyStateResidual()

void Nektar::SolverUtils::UnsteadySystem::v_SteadyStateResidual	(	int	step,
		Array< OneD, NekDouble > &	L2
	)

protectedvirtual

Reimplemented in Nektar::CompressibleFlowSystem.

Definition at line 910 of file UnsteadySystem.cpp.

{
    const int nPoints = GetTotPoints();
    const int nFields = m_fields.size();
 
    // Holds L2 errors.
    Array<OneD, NekDouble> RHSL2(nFields);
    Array<OneD, NekDouble> residual(nFields);
    Array<OneD, NekDouble> reference(nFields);
 
    for (int i = 0; i < nFields; ++i)
    {
        Array<OneD, NekDouble> tmp(nPoints);
 
        Vmath::Vsub(nPoints, m_fields[i]->GetPhys(), 1, m_previousSolution[i],
                    1, tmp, 1);
        Vmath::Vmul(nPoints, tmp, 1, tmp, 1, tmp, 1);
        residual[i] = Vmath::Vsum(nPoints, tmp, 1);
 
        Vmath::Vmul(nPoints, m_previousSolution[i], 1, m_previousSolution[i], 1,
                    tmp, 1);
        reference[i] = Vmath::Vsum(nPoints, tmp, 1);
    }
 
    m_comm->GetSpaceComm()->AllReduce(residual, LibUtilities::ReduceSum);
    m_comm->GetSpaceComm()->AllReduce(reference, LibUtilities::ReduceSum);
 
    // L2 error.
    for (int i = 0; i < nFields; ++i)
    {
        reference[i] = (reference[i] == 0) ? 1 : reference[i];
        L2[i]        = sqrt(residual[i] / reference[i]);
    }
}

References Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::SolverUtils::EquationSystem::m_comm, Nektar::SolverUtils::EquationSystem::m_fields, m_previousSolution, Nektar::LibUtilities::ReduceSum, tinysimd::sqrt(), Vmath::Vmul(), Vmath::Vsub(), and Vmath::Vsum().

Referenced by SteadyStateResidual().

◆ v_UpdateTimeStepCheck()

bool Nektar::SolverUtils::UnsteadySystem::v_UpdateTimeStepCheck ( void )

protectedvirtual

Reimplemented in Nektar::CFSImplicit.

Definition at line 762 of file UnsteadySystem.cpp.

{
    return true;
}

Referenced by v_DoSolve().

Member Data Documentation

◆ cmdSetStartChkNum

std::string Nektar::SolverUtils::UnsteadySystem::cmdSetStartChkNum

static

Initial value:

=
    LibUtilities::SessionReader::RegisterCmdLineArgument(
        "set-start-chknumber", "",
        "Set the starting number of the checkpoint file.")

Definition at line 81 of file UnsteadySystem.h.

◆ cmdSetStartTime

std::string Nektar::SolverUtils::UnsteadySystem::cmdSetStartTime

static

Initial value:

=
    LibUtilities::SessionReader::RegisterCmdLineArgument(
        "set-start-time", "", "Set the starting time of the simulation.")

Definition at line 80 of file UnsteadySystem.h.

◆ m_abortSteps

int Nektar::SolverUtils::UnsteadySystem::m_abortSteps

protected

Number of steps between checks for abort conditions.

Definition at line 103 of file UnsteadySystem.h.

Referenced by v_DoSolve(), and v_InitObject().

◆ m_CFLEnd

NekDouble Nektar::SolverUtils::UnsteadySystem::m_CFLEnd

protected

Maximun cfl in cfl growth.

Definition at line 100 of file UnsteadySystem.h.

Referenced by v_DoSolve(), and v_InitObject().

◆ m_CFLGrowth

NekDouble Nektar::SolverUtils::UnsteadySystem::m_CFLGrowth

protected

CFL growth rate.

Definition at line 98 of file UnsteadySystem.h.

Referenced by v_DoSolve(), and v_InitObject().

◆ m_cflSafetyFactor

NekDouble Nektar::SolverUtils::UnsteadySystem::m_cflSafetyFactor

protected

CFL safety factor (comprise between 0 to 1).

Definition at line 96 of file UnsteadySystem.h.

Referenced by Nektar::CompressibleFlowSystem::GetElmtTimeStep(), Nektar::UnsteadyAdvectionDiffusion::GetSubstepTimeStep(), Nektar::CompressibleFlowSystem::InitialiseParameters(), Nektar::UnsteadyAdvectionDiffusion::SubStepAdvance(), v_DoSolve(), Nektar::MMFAdvection::v_DoSolve(), Nektar::MMFSWE::v_DoSolve(), v_InitObject(), v_PrintStatusInformation(), and v_PrintSummaryStatistics().

◆ m_epsilon

NekDouble Nektar::SolverUtils::UnsteadySystem::m_epsilon

protected

Diffusion coefficient.

Definition at line 129 of file UnsteadySystem.h.

◆ m_errFile

std::ofstream Nektar::SolverUtils::UnsteadySystem::m_errFile

protected

Definition at line 126 of file UnsteadySystem.h.

Referenced by CheckSteadyState(), and InitializeSteadyState().

◆ m_explicitAdvection

bool Nektar::SolverUtils::UnsteadySystem::m_explicitAdvection

protected

Indicates if explicit or implicit treatment of advection is used.

Definition at line 108 of file UnsteadySystem.h.

◆ m_explicitDiffusion

bool Nektar::SolverUtils::UnsteadySystem::m_explicitDiffusion

protected

Indicates if explicit or implicit treatment of diffusion is used.

Definition at line 106 of file UnsteadySystem.h.

◆ m_explicitReaction

bool Nektar::SolverUtils::UnsteadySystem::m_explicitReaction

protected

Indicates if explicit or implicit treatment of reaction is used.

Definition at line 110 of file UnsteadySystem.h.

Referenced by v_GenerateSummary(), and v_InitObject().

◆ m_filters

std::vector<std::pair<std::string, FilterSharedPtr> > Nektar::SolverUtils::UnsteadySystem::m_filters

protected

Definition at line 119 of file UnsteadySystem.h.

Referenced by v_DoSolve(), v_InitObject(), Nektar::Bidomain::v_InitObject(), Nektar::BidomainRoth::v_InitObject(), Nektar::Monodomain::v_InitObject(), and Nektar::SmoothedProfileMethod::v_SolveUnsteadyStokesSystem().

◆ m_filtersInfosteps

int Nektar::SolverUtils::UnsteadySystem::m_filtersInfosteps

protected

Number of time steps between outputting filters information.

Definition at line 118 of file UnsteadySystem.h.

Referenced by v_DoSolve(), and v_InitObject().

◆ m_homoInitialFwd

bool Nektar::SolverUtils::UnsteadySystem::m_homoInitialFwd

protected

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

Definition at line 123 of file UnsteadySystem.h.

Referenced by v_DoSolve(), v_InitObject(), Nektar::AcousticSystem::v_InitObject(), Nektar::UnsteadyAdvection::v_InitObject(), Nektar::UnsteadyDiffusion::v_InitObject(), Nektar::UnsteadyInviscidBurgers::v_InitObject(), and Nektar::CompressibleFlowSystem::v_InitObject().

◆ m_intScheme

LibUtilities::TimeIntegrationSchemeSharedPtr Nektar::SolverUtils::UnsteadySystem::m_intScheme

protected

Wrapper to the time integration scheme.

Definition at line 85 of file UnsteadySystem.h.

Referenced by GetTimeIntegrationScheme(), MaxTimeStepEstimator(), Nektar::VelocityCorrectionScheme::SetUpExtrapolation(), Nektar::UnsteadyAdvectionDiffusion::SubStepAdvance(), Nektar::VCSImplicit::v_DoInitialise(), v_DoSolve(), Nektar::MMFAdvection::v_DoSolve(), Nektar::MMFMaxwell::v_DoSolve(), Nektar::PulseWaveSystem::v_DoSolve(), Nektar::MMFSWE::v_DoSolve(), v_GenerateSummary(), v_InitObject(), Nektar::VCSMapping::v_InitObject(), and Nektar::UnsteadyAdvectionDiffusion::v_InitObject().

◆ m_intVariables

std::vector<int> Nektar::SolverUtils::UnsteadySystem::m_intVariables

protected

Definition at line 93 of file UnsteadySystem.h.

Referenced by AppendOutput1D(), v_DoSolve(), Nektar::MMFAdvection::v_DoSolve(), Nektar::MMFMaxwell::v_DoSolve(), Nektar::MMFSWE::v_DoSolve(), Nektar::Bidomain::v_InitObject(), Nektar::BidomainRoth::v_InitObject(), Nektar::Monodomain::v_InitObject(), Nektar::ImageWarpingSystem::v_InitObject(), Nektar::VelocityCorrectionScheme::v_InitObject(), and Nektar::Dummy::v_InitObject().

◆ m_ode

LibUtilities::TimeIntegrationSchemeOperators Nektar::SolverUtils::UnsteadySystem::m_ode

protected

The time integration scheme operators to use.

Definition at line 88 of file UnsteadySystem.h.

◆ m_previousSolution

Array<OneD, Array<OneD, NekDouble> > Nektar::SolverUtils::UnsteadySystem::m_previousSolution

protected

Storage for previous solution for steady-state check.

Definition at line 91 of file UnsteadySystem.h.

Referenced by CheckSteadyState(), InitializeSteadyState(), and v_SteadyStateResidual().

◆ m_steadyStateSteps

int Nektar::SolverUtils::UnsteadySystem::m_steadyStateSteps

protected

Check for steady state at step interval.

Definition at line 113 of file UnsteadySystem.h.

Referenced by v_DoSolve(), and v_InitObject().

◆ m_steadyStateTol

NekDouble Nektar::SolverUtils::UnsteadySystem::m_steadyStateTol

protected

Tolerance to which steady state should be evaluated at.

Definition at line 115 of file UnsteadySystem.h.

Referenced by CheckSteadyState(), InitializeSteadyState(), v_DoSolve(), and v_InitObject().

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ~UnsteadySystem()

◆ UnsteadySystem()

Member Function Documentation

◆ AppendOutput1D()

◆ CheckForRestartTime()

◆ CheckSteadyState()

◆ DoDummyProjection()

◆ GetTimeIntegrationScheme()

◆ GetTimeIntegrationSchemeOperators()

◆ GetTimeStep() [1/2]

◆ GetTimeStep() [2/2]

◆ InitializeSteadyState()

◆ MaxTimeStepEstimator()

◆ SetTimeStep()

◆ SteadyStateResidual()

◆ SVVVarDiffCoeff()

◆ v_DoInitialise()

◆ v_DoSolve()

◆ v_GenerateSummary()

◆ v_GetTimeStep()

◆ v_InitObject()

◆ v_PostIntegrate()

◆ v_PreIntegrate()

◆ v_PrintStatusInformation()

◆ v_PrintSummaryStatistics()

◆ v_RequireFwdTrans()

◆ v_SteadyStateResidual()

◆ v_UpdateTimeStepCheck()

Member Data Documentation

◆ cmdSetStartChkNum

◆ cmdSetStartTime

◆ m_abortSteps

◆ m_CFLEnd

◆ m_CFLGrowth

◆ m_cflSafetyFactor

◆ m_epsilon

◆ m_errFile

◆ m_explicitAdvection

◆ m_explicitDiffusion

◆ m_explicitReaction

◆ m_filters

◆ m_filtersInfosteps

◆ m_homoInitialFwd

◆ m_intScheme

◆ m_intVariables

◆ m_ode

◆ m_previousSolution

◆ m_steadyStateSteps

◆ m_steadyStateTol