#include <EigenValuesAdvection.h>

Inheritance diagram for Nektar::EigenValuesAdvection:

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

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

Protected Member Functions
	EigenValuesAdvection (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)

	~EigenValuesAdvection () override=default

void	v_InitObject (bool DeclareFields=true) override
	Initialisation object for EquationSystem. More...

void	v_DoInitialise (bool dumpInitialConditions=false) override
	Virtual function for initialisation implementation. More...

void	v_DoSolve () override
	Virtual function for solve implementation. More...

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

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

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 NekDouble	v_H1Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray, bool Normalised=false)
	Virtual function for the H_1 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
SolverUtils::RiemannSolverSharedPtr	m_riemannSolver

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

SolverUtils::AdvectionSharedPtr	m_advObject

Array< OneD, NekDouble >	m_traceVn

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_movingFrameData
	Moving reference frame status in the inertial frame X, Y, Z, Theta_x, Theta_y, Theta_z, U, V, W, Omega_x, Omega_y, Omega_z, A_x, A_y, A_z, DOmega_x, DOmega_y, DOmega_z, pivot_x, pivot_y, pivot_z. More...

std::vector< std::string >	m_strFrameData
	variable name in m_movingFrameData 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...

Friends
class	MemoryManager< EigenValuesAdvection >

Additional Inherited Members
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 NekDouble	H1Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln, bool Normalised=false)
	Compute the H1 error between fields and a given exact solution. 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 void	SetSteps (const int steps)

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	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...

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

Definition at line 46 of file EigenValuesAdvection.h.

Constructor & Destructor Documentation

◆ EigenValuesAdvection()

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

protected

Definition at line 48 of file EigenValuesAdvection.cpp.

    : EquationSystem(pSession, pGraph)
{
}

◆ ~EigenValuesAdvection()

Nektar::EigenValuesAdvection::~EigenValuesAdvection ( )

overrideprotecteddefault

Member Function Documentation

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 52 of file EigenValuesAdvection.h.

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

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

◆ GetFluxVector()

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

protected

Definition at line 285 of file EigenValuesAdvection.cpp.

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

References ASSERTL1, m_velocity, and Vmath::Vmul().

Referenced by v_InitObject().

◆ GetNormalVelocity()

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

protected

Get the normal velocity.

Definition at line 263 of file EigenValuesAdvection.cpp.

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

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

Referenced by v_InitObject().

◆ v_DoInitialise()

void Nektar::EigenValuesAdvection::v_DoInitialise ( bool dumpInitialConditions = false )

overrideprotectedvirtual

Virtual function for initialisation implementation.

By default, nothing needs initialising at the EquationSystem level.

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 120 of file EigenValuesAdvection.cpp.

122{

123}

◆ v_DoSolve()

void Nektar::EigenValuesAdvection::v_DoSolve ( void )

overrideprotectedvirtual

Virtual function for solve implementation.

Feeding the weak Advection oprator with a vector (inarray) Looping on inarray and changing the position of the only non-zero entry we simulate the multiplication by the identity matrix. The results stored in outarray is one of the columns of the weak advection oprators which are then stored in MATRIX for the futher eigenvalues calculation.

The result is stored in outarray (is the j-th columns of the weak advection operator). We now store it in MATRIX(j)

Set the j-th entry of inarray back to zero

Calulating the eigenvalues of the weak advection operator stored in (MATRIX) using Lapack routines

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 125 of file EigenValuesAdvection.cpp.

{
    int nvariables = 1;
    int dofs       = GetNcoeffs();
    // bool UseContCoeffs = false;
 
    Array<OneD, Array<OneD, NekDouble>> inarray(nvariables);
    Array<OneD, Array<OneD, NekDouble>> tmp(nvariables);
    Array<OneD, Array<OneD, NekDouble>> outarray(nvariables);
    Array<OneD, Array<OneD, NekDouble>> WeakAdv(nvariables);
 
    int npoints = GetNpoints();
    int ncoeffs = GetNcoeffs();
 
    switch (m_projectionType)
    {
        case MultiRegions::eDiscontinuous:
        {
            dofs = ncoeffs;
            break;
        }
        case MultiRegions::eGalerkin:
        case MultiRegions::eMixed_CG_Discontinuous:
        {
            // dofs = GetContNcoeffs();
            // UseContCoeffs = true;
            break;
        }
    }
 
    cout << endl;
    cout << "Num Phys Points = " << npoints << endl; // phisical points
    cout << "Num Coeffs      = " << ncoeffs << endl; //
    cout << "Num Cont Coeffs = " << dofs << endl;
 
    inarray[0]  = Array<OneD, NekDouble>(npoints, 0.0);
    outarray[0] = Array<OneD, NekDouble>(npoints, 0.0);
    tmp[0]      = Array<OneD, NekDouble>(npoints, 0.0);
 
    WeakAdv[0] = Array<OneD, NekDouble>(ncoeffs, 0.0);
    Array<OneD, NekDouble> MATRIX(npoints * npoints, 0.0);
 
    for (int j = 0; j < npoints; j++)
    {
 
        inarray[0][j] = 1.0;
 
        /// Feeding the weak Advection oprator with  a vector (inarray)
        /// Looping on inarray and changing the position of the only non-zero
        /// entry we simulate the multiplication by the identity matrix. The
        /// results stored in outarray is one of the columns of the weak
        /// advection oprators which are then stored in MATRIX for the futher
        /// eigenvalues calculation.
        m_advObject->Advect(nvariables, m_fields, m_velocity, inarray, outarray,
                            0.0);
        Vmath::Neg(npoints, outarray[0], 1);
        switch (m_projectionType)
        {
            case MultiRegions::eDiscontinuous:
            {
                break;
            }
            case MultiRegions::eGalerkin:
            case MultiRegions::eMixed_CG_Discontinuous:
            {
                for (int i = 0; i < nvariables; ++i)
                {
                    // Projection
                    m_fields[i]->FwdTrans(outarray[i], WeakAdv[i]);
 
                    m_fields[i]->BwdTrans(WeakAdv[i], outarray[i]);
                }
                break;
            }
        }
 
        /// The result is stored in outarray (is the j-th columns of the weak
        /// advection operator). We now store it in MATRIX(j)
        Vmath::Vcopy(npoints, &(outarray[0][0]), 1, &(MATRIX[j]), npoints);
 
        /// Set the j-th entry of inarray back to zero
        inarray[0][j] = 0.0;
    }
 
    ////////////////////////////////////////////////////////////////////////////////
    /// Calulating the eigenvalues of the weak advection operator stored in
    /// (MATRIX) using Lapack routines
 
    char jobvl = 'N';
    char jobvr = 'N';
    int info = 0, lwork = 3 * npoints;
    NekDouble dum;
 
    Array<OneD, NekDouble> EIG_R(npoints);
    Array<OneD, NekDouble> EIG_I(npoints);
 
    Array<OneD, NekDouble> work(lwork);
 
    Lapack::Dgeev(jobvl, jobvr, npoints, MATRIX.data(), npoints, EIG_R.data(),
                  EIG_I.data(), &dum, 1, &dum, 1, &work[0], lwork, info);
 
    ////////////////////////////////////////////////////////
    // Print Matrix
    FILE *mFile;
 
    mFile = fopen("WeakAdvMatrix.txt", "w");
    for (int j = 0; j < npoints; j++)
    {
        for (int k = 0; k < npoints; k++)
        {
            fprintf(mFile, "%e ", MATRIX[j * npoints + k]);
        }
        fprintf(mFile, "\n");
    }
    fclose(mFile);
 
    ////////////////////////////////////////////////////////
    // Output of the EigenValues
    FILE *pFile;
 
    pFile = fopen("Eigenvalues.txt", "w");
    for (int j = 0; j < npoints; j++)
    {
        fprintf(pFile, "%e %e\n", EIG_R[j], EIG_I[j]);
    }
    fclose(pFile);
 
    cout << "\nEigenvalues : " << endl;
    for (int j = 0; j < npoints; j++)
    {
        cout << EIG_R[j] << "\t" << EIG_I[j] << endl;
    }
    cout << endl;
}

References Lapack::Dgeev(), Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::MultiRegions::eMixed_CG_Discontinuous, Nektar::SolverUtils::EquationSystem::GetNcoeffs(), Nektar::SolverUtils::EquationSystem::GetNpoints(), m_advObject, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, m_velocity, Vmath::Neg(), and Vmath::Vcopy().

◆ v_InitObject()

void Nektar::EigenValuesAdvection::v_InitObject ( bool DeclareFeld = true )

overrideprotectedvirtual

Initialisation object for EquationSystem.

Continuous field

Setting up the normals

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 55 of file EigenValuesAdvection.cpp.

{
    EquationSystem::v_InitObject(DeclareFields);
 
    // 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);
 
    // Type of advection class to be used
    switch (m_projectionType)
    {
        // Discontinuous field
        case MultiRegions::eDiscontinuous:
        {
            // Define the normal velocity fields
            if (m_fields[0]->GetTrace())
            {
                m_traceVn = Array<OneD, NekDouble>(GetTraceNpoints());
            }
 
            string advName;
            string riemName;
            m_session->LoadSolverInfo("AdvectionType", advName, "WeakDG");
            m_advObject = SolverUtils::GetAdvectionFactory().CreateInstance(
                advName, advName);
            m_advObject->SetFluxVector(&EigenValuesAdvection::GetFluxVector,
                                       this);
            m_session->LoadSolverInfo("UpwindType", riemName, "Upwind");
            m_riemannSolver =
                SolverUtils::GetRiemannSolverFactory().CreateInstance(
                    riemName, m_session);
            m_riemannSolver->SetScalar(
                "Vn", &EigenValuesAdvection::GetNormalVelocity, this);
 
            m_advObject->SetRiemannSolver(m_riemannSolver);
            m_advObject->InitObject(m_session, m_fields);
            break;
        }
        // Continuous field
        case MultiRegions::eGalerkin:
        case MultiRegions::eMixed_CG_Discontinuous:
        {
            string advName;
            m_session->LoadSolverInfo("AdvectionType", advName,
                                      "NonConservative");
            m_advObject = SolverUtils::GetAdvectionFactory().CreateInstance(
                advName, advName);
            m_advObject->SetFluxVector(&EigenValuesAdvection::GetFluxVector,
                                       this);
            break;
        }
        default:
        {
            ASSERTL0(false, "Unsupported projection type.");
            break;
        }
    }
}

Friends And Related Function Documentation

◆ MemoryManager< EigenValuesAdvection >

friend class MemoryManager< EigenValuesAdvection >

friend

Definition at line 1 of file EigenValuesAdvection.h.

Member Data Documentation

◆ className

string Nektar::EigenValuesAdvection::className

static

Initial value:

=
    GetEquationSystemFactory().RegisterCreatorFunction(
        "EigenValuesAdvection", EigenValuesAdvection::create,
        "Eigenvalues of the weak advection operator.")

Name of class.

Definition at line 63 of file EigenValuesAdvection.h.

◆ m_advObject

SolverUtils::AdvectionSharedPtr Nektar::EigenValuesAdvection::m_advObject

protected

Definition at line 68 of file EigenValuesAdvection.h.

Referenced by v_DoSolve(), and v_InitObject().

◆ m_riemannSolver

SolverUtils::RiemannSolverSharedPtr Nektar::EigenValuesAdvection::m_riemannSolver

protected

Definition at line 66 of file EigenValuesAdvection.h.

Referenced by v_InitObject().

◆ m_traceVn

Array<OneD, NekDouble> Nektar::EigenValuesAdvection::m_traceVn

protected

Definition at line 69 of file EigenValuesAdvection.h.

Referenced by GetNormalVelocity(), and v_InitObject().

◆ m_velocity

Array<OneD, Array<OneD, NekDouble> > Nektar::EigenValuesAdvection::m_velocity

protected

Definition at line 67 of file EigenValuesAdvection.h.

Referenced by GetFluxVector(), GetNormalVelocity(), v_DoSolve(), and v_InitObject().

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ EigenValuesAdvection()

◆ ~EigenValuesAdvection()

Member Function Documentation

◆ create()

◆ GetFluxVector()

◆ GetNormalVelocity()

◆ v_DoInitialise()

◆ v_DoSolve()

◆ v_InitObject()

Friends And Related Function Documentation

◆ MemoryManager< EigenValuesAdvection >

Member Data Documentation

◆ className

◆ m_advObject

◆ m_riemannSolver

◆ m_traceVn

◆ m_velocity