Base class for the development of solvers. More...

#include <DriverArnoldi.h>

Inheritance diagram for Nektar::SolverUtils::DriverArnoldi:

Collaboration diagram for Nektar::SolverUtils::DriverArnoldi:

Public Member Functions
SOLVER_UTILS_EXPORT void	ArnoldiSummary (std::ostream &out)
Public Member Functions inherited from Nektar::SolverUtils::Driver
virtual	~Driver ()
	Destructor.
SOLVER_UTILS_EXPORT void	InitObject (ostream &out=cout)
	Initialise Object.
SOLVER_UTILS_EXPORT void	Execute (ostream &out=cout)
	Execute driver.
SOLVER_UTILS_EXPORT Array < OneD, EquationSystemSharedPtr >	GetEqu ()
SOLVER_UTILS_EXPORT Array < OneD, NekDouble >	GetRealEvl (void)
SOLVER_UTILS_EXPORT Array < OneD, NekDouble >	GetImagEvl (void)

Protected Member Functions
	DriverArnoldi (const LibUtilities::SessionReaderSharedPtr pSession)
	Constructor.
virtual	~DriverArnoldi ()
	Destructor.
void	CopyArnoldiArrayToField (Array< OneD, NekDouble > &array)
	Copy Arnoldi storage to fields.
void	CopyFieldToArnoldiArray (Array< OneD, NekDouble > &array)
	Copy fields to Arnoldi storage.
void	CopyFwdToAdj ()
	Copy the forward field to the adjoint system in transient growth calculations.
void	WriteFld (std::string file, std::vector< Array< OneD, NekDouble > > coeffs)
void	WriteFld (std::string file, Array< OneD, NekDouble > coeffs)
void	WriteEvs (ostream &evlout, const int k, const NekDouble real, const NekDouble imag, NekDouble resid=NekConstants::kNekUnsetDouble)
virtual void	v_InitObject (ostream &out=cout)
virtual Array< OneD, NekDouble >	v_GetRealEvl (void)
virtual Array< OneD, NekDouble >	v_GetImagEvl (void)
Protected Member Functions inherited from Nektar::SolverUtils::Driver
	Driver (const LibUtilities::SessionReaderSharedPtr pSession)
	Initialises EquationSystem class members.
virtual SOLVER_UTILS_EXPORT void	v_Execute (ostream &out=cout)=0
	Virtual function for solve implementation.

Protected Attributes
int	m_kdim
int	m_nvec
	Dimension of Krylov subspace.
int	m_nits
	Number of vectors to test.
NekDouble	m_evtol
	Maxmum number of iterations.
NekDouble	m_period
	Tolerance of iteratiosn.
bool	m_timeSteppingAlgorithm
	Period of time stepping algorithm.
int	m_infosteps
	underlying operator is time stepping
int	m_nfields
	interval to dump information if required.
NekDouble	m_realShift
NekDouble	m_imagShift
Array< OneD, NekDouble >	m_real_evl
Array< OneD, NekDouble >	m_imag_evl
Protected Attributes inherited from Nektar::SolverUtils::Driver
LibUtilities::CommSharedPtr	m_comm
	Communication object.
LibUtilities::SessionReaderSharedPtr	m_session
	Session reader object.
LibUtilities::SessionReaderSharedPtr	session_LinNS
	I the Coupling between SFD and arnoldi.
Array< OneD, EquationSystemSharedPtr >	m_equ
	Equation system to solve.
int	m_nequ
	number of equations
enum EvolutionOperatorType	m_EvolutionOperator
	Evolution Operator.

Friends
class	MemoryManager< DriverArnoldi >

Additional Inherited Members
Static Protected Attributes inherited from Nektar::SolverUtils::Driver
static std::string	evolutionOperatorLookupIds []
static std::string	evolutionOperatorDef
static std::string	driverDefault

Detailed Description

Base class for the development of solvers.

Definition at line 46 of file DriverArnoldi.h.

Constructor & Destructor Documentation

Nektar::SolverUtils::DriverArnoldi::DriverArnoldi ( const LibUtilities::SessionReaderSharedPtr pSession )

protected

Constructor.

Definition at line 46 of file DriverArnoldi.cpp.

References m_infosteps, and Nektar::SolverUtils::Driver::m_session.

            : Driver(pSession)
        {
            m_session->LoadParameter("IO_InfoSteps", m_infosteps, 1);
        };

Nektar::SolverUtils::DriverArnoldi::~DriverArnoldi ( )

protectedvirtual

Destructor.

Definition at line 56 of file DriverArnoldi.cpp.

{

};

Member Function Documentation

void Nektar::SolverUtils::DriverArnoldi::ArnoldiSummary ( std::ostream & out )

Definition at line 102 of file DriverArnoldi.cpp.

References ASSERTL0, Nektar::SolverUtils::Driver::m_comm, m_evtol, m_imagShift, m_kdim, m_nits, m_nvec, m_realShift, Nektar::SolverUtils::Driver::m_session, and m_timeSteppingAlgorithm.

Referenced by Nektar::SolverUtils::DriverModifiedArnoldi::v_InitObject(), and Nektar::SolverUtils::DriverArpack::v_InitObject().

        {
            if (m_comm->GetRank() == 0)
            {
                if(m_session->DefinesSolverInfo("SingleMode"))
                {
                    out << "\tSingle Fourier mode    : true " << endl;
                    ASSERTL0(m_session->DefinesSolverInfo("Homogeneous"),
                             "Expected a homogeneous expansion to be defined "
                             "with single mode");
                }
                else
                {
                    out << "\tSingle Fourier mode    : false " << endl;
                }
                if(m_session->DefinesSolverInfo("BetaZero"))           
                {
                    out << "\tBeta set to Zero       : true (overrides LHom)" 
                        << endl;
                }
                else
                {
                    out << "\tBeta set to Zero       : false " << endl;
                }
                if(m_timeSteppingAlgorithm)
                {
                    out << "\tEvolution operator     : " 
                        << m_session->GetSolverInfo("EvolutionOperator") 
                        << endl;
                }
                else
                {
                    out << "\tShift (Real,Imag)      : " << m_realShift 
                        << "," << m_imagShift <<  endl;
                }
                out << "\tKrylov-space dimension : " << m_kdim << endl;
                out << "\tNumber of vectors      : " << m_nvec << endl;
                out << "\tMax iterations         : " << m_nits << endl;
                out << "\tEigenvalue tolerance   : " << m_evtol << endl;
                out << "======================================================" 
                    << endl;
            }
        }

void Nektar::SolverUtils::DriverArnoldi::CopyArnoldiArrayToField ( Array< OneD, NekDouble > & array )

protected

Copy Arnoldi storage to fields.

Copy Arnoldi array to field variables which depend from either the m_fields or m_forces

Definition at line 151 of file DriverArnoldi.cpp.

References Nektar::SolverUtils::Driver::m_equ, m_nfields, and Vmath::Vcopy().

Referenced by Nektar::SolverUtils::DriverModifiedArnoldi::EV_update(), and Nektar::SolverUtils::DriverArpack::v_Execute().

        {
        
            Array<OneD, MultiRegions::ExpListSharedPtr>& fields = m_equ[0]->UpdateFields();
            int nq = fields[0]->GetNcoeffs();
            for (int k = 0; k < m_nfields; ++k)
            {
                Vmath::Vcopy(nq, &array[k*nq], 1, &fields[k]->UpdateCoeffs()[0], 1);
                fields[k]->SetPhysState(false);
            }
        };

void Nektar::SolverUtils::DriverArnoldi::CopyFieldToArnoldiArray ( Array< OneD, NekDouble > & array )

protected

Copy fields to Arnoldi storage.

Copy field variables which depend from either the m_fields or m_forces array the Arnoldi array

Definition at line 168 of file DriverArnoldi.cpp.

References Nektar::SolverUtils::eAdaptiveSFD, Nektar::SolverUtils::Driver::m_equ, Nektar::SolverUtils::Driver::m_EvolutionOperator, Nektar::SolverUtils::Driver::m_nequ, m_nfields, and Vmath::Vcopy().

Referenced by Nektar::SolverUtils::DriverModifiedArnoldi::EV_update(), Nektar::SolverUtils::DriverModifiedArnoldi::v_Execute(), and Nektar::SolverUtils::DriverArpack::v_Execute().

        {
            
            Array<OneD, MultiRegions::ExpListSharedPtr> fields;
            
            if (m_EvolutionOperator == eAdaptiveSFD)
            {
                //This matters for the Adaptive SFD method
                //because m_equ[1] is the nonlinear problem with non homogeneous BCs.
                fields = m_equ[0]->UpdateFields(); 
            }
            else
            {
                fields = m_equ[m_nequ-1]->UpdateFields();
            }
            
            for (int k = 0; k < m_nfields; ++k)
            {
                int nq = fields[0]->GetNcoeffs();
                Vmath::Vcopy(nq,  &fields[k]->GetCoeffs()[0], 1, &array[k*nq], 1);
                fields[k]->SetPhysState(false);
                
            }
        };

void Nektar::SolverUtils::DriverArnoldi::CopyFwdToAdj ( )

protected

Copy the forward field to the adjoint system in transient growth calculations.

Initialisation for the transient growth

Definition at line 197 of file DriverArnoldi.cpp.

References ASSERTL0, Nektar::SolverUtils::Driver::m_equ, m_nfields, m_timeSteppingAlgorithm, and Vmath::Vcopy().

Referenced by Nektar::SolverUtils::DriverModifiedArnoldi::EV_update(), and Nektar::SolverUtils::DriverArpack::v_Execute().

        {
            Array<OneD, MultiRegions::ExpListSharedPtr> fields;
        
            if(m_timeSteppingAlgorithm)
            {
                fields = m_equ[0]->UpdateFields();
                int nq = fields[0]->GetNcoeffs();
            
            
                for (int k=0 ; k < m_nfields; ++k)
                {
                    Vmath::Vcopy(nq,  &fields[k]->GetCoeffs()[0], 1,&m_equ[1]->UpdateFields()[k]->UpdateCoeffs()[0], 1);
                
                }
            }
            else
            {
                ASSERTL0(false,"Transient Growth non available for Coupled Solver");
            
            }
        };

virtual Array<OneD, NekDouble> Nektar::SolverUtils::DriverArnoldi::v_GetImagEvl ( void )

inlineprotectedvirtual

Reimplemented from Nektar::SolverUtils::Driver.

Definition at line 102 of file DriverArnoldi.h.

References m_imag_evl.

            {
                return m_imag_evl;
            }

virtual Array<OneD, NekDouble> Nektar::SolverUtils::DriverArnoldi::v_GetRealEvl ( void )

inlineprotectedvirtual

Reimplemented from Nektar::SolverUtils::Driver.

Definition at line 97 of file DriverArnoldi.h.

References m_real_evl.

            {
                return m_real_evl;
            }

void Nektar::SolverUtils::DriverArnoldi::v_InitObject ( ostream & out = cout )

protectedvirtual

Reimplemented from Nektar::SolverUtils::Driver.

Reimplemented in Nektar::SolverUtils::DriverSteadyState, Nektar::SolverUtils::DriverArpack, and Nektar::SolverUtils::DriverModifiedArnoldi.

Definition at line 64 of file DriverArnoldi.cpp.

References ASSERTL0, Nektar::SolverUtils::Driver::m_equ, m_evtol, m_imagShift, m_kdim, m_nfields, m_nits, m_nvec, m_period, m_realShift, Nektar::SolverUtils::Driver::m_session, and m_timeSteppingAlgorithm.

        {
            Driver::v_InitObject(out);      
            m_session->MatchSolverInfo("SolverType","VelocityCorrectionScheme",m_timeSteppingAlgorithm, false);
            if(m_timeSteppingAlgorithm)
            {
                m_period  = m_session->GetParameter("TimeStep")* m_session->GetParameter("NumSteps");
                m_nfields = m_equ[0]->UpdateFields().num_elements() - 1;
            
                if(m_session->DefinesSolverInfo("ModeType") && 
                   (m_session->GetSolverInfo("ModeType")=="SingleMode"|| m_session->GetSolverInfo("ModeType")=="HalfMode") )
                {
                    for(int i = 0; i < m_nfields; ++i)
                    {
                        m_equ[0]->UpdateFields()[i]->SetWaveSpace(true);
                    }
                }
            
            }
            else
            {
                m_period  = 1.0;
                ASSERTL0(m_session->DefinesFunction("BodyForce"),"A BodyForce section needs to be defined for this solver type");
                m_nfields = m_equ[0]->UpdateFields().num_elements();
            }
            m_session->LoadParameter("kdim",  m_kdim,  16);
            m_session->LoadParameter("nvec",  m_nvec,  2);
            m_session->LoadParameter("nits",  m_nits,  500);
            m_session->LoadParameter("evtol", m_evtol, 1e-06);
            m_session->LoadParameter("realShift", m_realShift, 0.0);
            m_equ[0]->SetLambda(m_realShift);
            m_session->LoadParameter("imagShift", m_imagShift, 0.0);
        }

void Nektar::SolverUtils::DriverArnoldi::WriteEvs	(	ostream &	evlout,
		const int	k,
		const NekDouble	real,
		const NekDouble	imag,
		NekDouble	resid = `NekConstants::kNekUnsetDouble`
	)

protected

Definition at line 253 of file DriverArnoldi.cpp.

References Nektar::NekConstants::kNekUnsetDouble, m_period, m_realShift, and m_timeSteppingAlgorithm.

Referenced by Nektar::SolverUtils::DriverModifiedArnoldi::EV_test(), and Nektar::SolverUtils::DriverArpack::v_Execute().

        {
            if(m_timeSteppingAlgorithm)
            {
                NekDouble abs_ev = hypot (re_ev, im_ev);
                NekDouble ang_ev = atan2 (im_ev, re_ev);
                evlout << setw(2)  << i
                       << setw(12) << abs_ev
                       << setw(12) << ang_ev
                       << setw(12) << log (abs_ev) / m_period
                       << setw(12) << ang_ev       / m_period;
            
                if(resid != NekConstants::kNekUnsetDouble)
                {
                    evlout << setw(12) << resid;
                }
                evlout << endl;
            }
            else
            {
                NekDouble invmag = 1.0/(re_ev*re_ev + im_ev*im_ev);
            
                evlout << setw(2)  <<  i
                       << setw(14) <<  re_ev
                       << setw(14) <<  im_ev
                       << setw(14) <<  -re_ev*invmag + m_realShift
                       << setw(14) <<   im_ev*invmag;
            
                if(resid != NekConstants::kNekUnsetDouble)
                {
                    evlout << setw(12) << resid; 
                }
                evlout << endl;
            }
        }

void Nektar::SolverUtils::DriverArnoldi::WriteFld	(	std::string	file,
		std::vector< Array< OneD, NekDouble > >	coeffs
	)

protected

Definition at line 220 of file DriverArnoldi.cpp.

References ASSERTL1, Nektar::SolverUtils::Driver::m_equ, and m_nfields.

Referenced by Nektar::SolverUtils::DriverModifiedArnoldi::EV_post(), and Nektar::SolverUtils::DriverArpack::v_Execute().

        {
        
            std::vector<std::string>  variables(m_nfields);
        
            ASSERTL1(coeffs.size() >= m_nfields, "coeffs is not of the correct length");
            for(int i = 0; i < m_nfields; ++i)
            {
                variables[i] = m_equ[0]->GetVariable(i);
            }
        
            m_equ[0]->WriteFld(file,m_equ[0]->UpdateFields()[0], coeffs, variables);
        }

void Nektar::SolverUtils::DriverArnoldi::WriteFld	(	std::string	file,
		Array< OneD, NekDouble >	coeffs
	)

protected

Definition at line 235 of file DriverArnoldi.cpp.

References ASSERTL1, Nektar::SolverUtils::Driver::m_equ, and m_nfields.

        {
        
            std::vector<std::string>  variables(m_nfields);
            std::vector<Array<OneD, NekDouble> > fieldcoeffs(m_nfields);
        
            int ncoeffs = m_equ[0]->UpdateFields()[0]->GetNcoeffs();
            ASSERTL1(coeffs.num_elements() >= ncoeffs*m_nfields,"coeffs is not of sufficient size");
            for(int i = 0; i < m_nfields; ++i)
            {
                variables[i] = m_equ[0]->GetVariable(i);
                fieldcoeffs[i] = coeffs + i*ncoeffs;
            }
        
            m_equ[0]->WriteFld(file,m_equ[0]->UpdateFields()[0], fieldcoeffs, variables);
        }