#include <EigenValuesAdvection.h>

Inheritance diagram for Nektar::EigenValuesAdvection:

Collaboration diagram for Nektar::EigenValuesAdvection:

Public Member Functions
virtual	~EigenValuesAdvection ()

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

SOLVER_UTILS_EXPORT void	SetUpTraceNormals (void)

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

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

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

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

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

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

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

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

template<class T >
boost::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	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 void	EvaluateFunction (Array< OneD, Array< OneD, NekDouble > > &pArray, std::string pFunctionName, const NekDouble pTime=0.0, const int domain=0)
	Evaluates a function as specified in the session file. More...

SOLVER_UTILS_EXPORT void	EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, Array< OneD, NekDouble > > &pFields, const std::string &pName, const NekDouble &pTime=0.0, const int domain=0)
	Populate given fields with the function from session. More...

SOLVER_UTILS_EXPORT void	EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const std::string &pName, const NekDouble &pTime=0.0, const int domain=0)
	Populate given fields with the function from session. More...

SOLVER_UTILS_EXPORT void	EvaluateFunction (std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, const NekDouble &pTime=0.0, const int domain=0)

SOLVER_UTILS_EXPORT std::string	DescribeFunction (std::string pFieldName, const std::string &pFunctionName, const int domain)
	Provide a description of a function for a given field name. More...

SOLVER_UTILS_EXPORT void	InitialiseBaseFlow (Array< OneD, Array< OneD, NekDouble > > &base)
	Perform initialisation of the base flow. More...

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

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

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

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

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

SOLVER_UTILS_EXPORT void	WeakAdvectionGreensDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\nabla \phi \cdot F)$ . More...

SOLVER_UTILS_EXPORT void	WeakAdvectionDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray)
	Compute the inner product $(\phi, \nabla \cdot F)$ . More...

SOLVER_UTILS_EXPORT void	WeakAdvectionNonConservativeForm (const Array< OneD, Array< OneD, NekDouble > > &V, const Array< OneD, const NekDouble > &u, Array< OneD, NekDouble > &outarray, bool UseContCoeffs=false)
	Compute the inner product $(\phi, V\cdot \nabla u)$ . More...

f SOLVER_UTILS_EXPORT void	AdvectionNonConservativeForm (const Array< OneD, Array< OneD, NekDouble > > &V, const Array< OneD, const NekDouble > &u, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wk=NullNekDouble1DArray)
	Compute the non-conservative advection. More...

SOLVER_UTILS_EXPORT void	WeakDGAdvection (const Array< OneD, Array< OneD, NekDouble > > &InField, Array< OneD, Array< OneD, NekDouble > > &OutField, bool NumericalFluxIncludesNormal=true, bool InFieldIsInPhysSpace=false, int nvariables=0)
	Calculate the weak discontinuous Galerkin advection. More...

SOLVER_UTILS_EXPORT void	WeakDGDiffusion (const Array< OneD, Array< OneD, NekDouble > > &InField, Array< OneD, Array< OneD, NekDouble > > &OutField, bool NumericalFluxIncludesNormal=true, bool InFieldIsInPhysSpace=false)
	Calculate weak DG Diffusion in the LDG form. 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	ScanForHistoryPoints ()
	Builds map of which element holds each history point. More...

SOLVER_UTILS_EXPORT void	WriteHistoryData (std::ostream &out)
	Probe each history point and write to file. More...

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

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

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

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

SOLVER_UTILS_EXPORT int	GetNcoeffs ()

SOLVER_UTILS_EXPORT int	GetNcoeffs (const int eid)

SOLVER_UTILS_EXPORT int	GetNumExpModes ()

SOLVER_UTILS_EXPORT const Array< OneD, int >	GetNumExpModesPerExp ()

SOLVER_UTILS_EXPORT int	GetNvariables ()

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

SOLVER_UTILS_EXPORT int	GetTraceTotPoints ()

SOLVER_UTILS_EXPORT int	GetTraceNpoints ()

SOLVER_UTILS_EXPORT int	GetExpSize ()

SOLVER_UTILS_EXPORT int	GetPhys_Offset (int n)

SOLVER_UTILS_EXPORT int	GetCoeff_Offset (int n)

SOLVER_UTILS_EXPORT int	GetTotPoints ()

SOLVER_UTILS_EXPORT int	GetTotPoints (int n)

SOLVER_UTILS_EXPORT int	GetNpoints ()

SOLVER_UTILS_EXPORT int	GetNumElmVelocity ()

SOLVER_UTILS_EXPORT int	GetSteps ()

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()

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

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

SOLVER_UTILS_EXPORT void	SetSteps (const int steps)

SOLVER_UTILS_EXPORT void	ZeroPhysFields ()

SOLVER_UTILS_EXPORT void	FwdTransFields ()

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

SOLVER_UTILS_EXPORT void	GetFluxVector (const int i, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &fluxX, Array< OneD, Array< OneD, NekDouble > > &fluxY)

SOLVER_UTILS_EXPORT void	GetFluxVector (const int i, const int j, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &flux)

SOLVER_UTILS_EXPORT void	NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numflux)

SOLVER_UTILS_EXPORT void	NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numfluxX, Array< OneD, Array< OneD, NekDouble > > &numfluxY)

SOLVER_UTILS_EXPORT void	NumFluxforScalar (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &uflux)

SOLVER_UTILS_EXPORT void	NumFluxforVector (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &qfield, Array< OneD, Array< OneD, NekDouble > > &qflux)

SOLVER_UTILS_EXPORT void	SetModifiedBasis (const bool modbasis)

SOLVER_UTILS_EXPORT int	NoCaseStringCompare (const std::string &s1, const std::string &s2)
	Perform a case-insensitive string comparison. More...

SOLVER_UTILS_EXPORT int	GetCheckpointNumber ()

SOLVER_UTILS_EXPORT void	SetCheckpointNumber (int num)

SOLVER_UTILS_EXPORT int	GetCheckpointSteps ()

SOLVER_UTILS_EXPORT void	SetCheckpointSteps (int num)

SOLVER_UTILS_EXPORT void	SetTime (const NekDouble time)

SOLVER_UTILS_EXPORT void	SetInitialStep (const int step)

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

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

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

Static Public Attributes
static std::string	className = GetEquationSystemFactory().RegisterCreatorFunction("EigenValuesAdvection", EigenValuesAdvection::create, "Eigenvalues of the weak advection operator.")
	Name of class. More...

Protected Member Functions
	EigenValuesAdvection (const LibUtilities::SessionReaderSharedPtr &pSession)

virtual void	v_InitObject ()
	Initialisation object for EquationSystem. More...

virtual void	v_DoInitialise ()
	Virtual function for initialisation implementation. More...

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

virtual void	v_GetFluxVector (const int i, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &flux)

virtual void	v_NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numflux)

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

int	nocase_cmp (const std::string &s1, const std::string &s2)

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)

SOLVER_UTILS_EXPORT void	SetUpBaseFields (SpatialDomains::MeshGraphSharedPtr &mesh)

SOLVER_UTILS_EXPORT void	ImportFldBase (std::string pInfile, SpatialDomains::MeshGraphSharedPtr pGraph)

virtual SOLVER_UTILS_EXPORT void	v_Output (void)

virtual SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	v_GetPressure (void)

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

Protected Attributes
Array< OneD, Array< OneD, NekDouble > >	m_velocity

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

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

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

std::map< std::string, Array < OneD, Array< OneD, float > > >	m_interpWeights
	Map of the interpolation weights for a specific filename. More...

std::map< std::string, Array < OneD, Array< OneD, unsigned int > > >	m_interpInds
	Map of the interpolation indices for a specific filename. More...

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

Array< OneD, MultiRegions::ExpListSharedPtr >	m_base
	Base fields. More...

Array< OneD, MultiRegions::ExpListSharedPtr >	m_derivedfields
	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...

std::set< std::string >	m_loadedFields

NekDouble	m_checktime
	Time between checkpoints. More...

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

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

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

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

int	m_expdim
	Expansion dimension. More...

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

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

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

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

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

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

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

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

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_gradtan
	1 x nvariable x nq More...

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_tanbasis
	2 x m_spacedim x nq More...

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

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

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

enum HomogeneousType	m_HomogeneousType

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

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

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

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

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

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

int	m_HomoDirec
	number of homogenous directions More...

Friends
class	MemoryManager< EigenValuesAdvection >

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

Detailed Description

Definition at line 45 of file EigenValuesAdvection.h.

Constructor & Destructor Documentation

Nektar::EigenValuesAdvection::~EigenValuesAdvection ( )

virtual

Definition at line 72 of file EigenValuesAdvection.cpp.

     {
 
     }

Nektar::EigenValuesAdvection::EigenValuesAdvection ( const LibUtilities::SessionReaderSharedPtr & pSession )

protected

Definition at line 46 of file EigenValuesAdvection.cpp.

         : EquationSystem(pSession)
     {
     }

Member Function Documentation

static EquationSystemSharedPtr Nektar::EigenValuesAdvection::create ( const LibUtilities::SessionReaderSharedPtr & pSession )

inlinestatic

Creates an instance of this class.

Definition at line 51 of file EigenValuesAdvection.h.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr().

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

void Nektar::EigenValuesAdvection::v_DoInitialise ( void )

protectedvirtual

Virtual function for initialisation implementation.

By default, nothing needs initialising at the EquationSystem level.

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 67 of file EigenValuesAdvection.cpp.

     {
        
     }

void Nektar::EigenValuesAdvection::v_DoSolve ( void )

protectedvirtual

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 77 of file EigenValuesAdvection.cpp.

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

     {
         int nvariables = 1;
         int i,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.
 
         switch (m_projectionType)
         {
         case MultiRegions::eDiscontinuous:
             {
                 WeakDGAdvection(inarray, WeakAdv,true,true,1);
                 
                 m_fields[0]->MultiplyByElmtInvMass(WeakAdv[0],WeakAdv[0]);
         
                 m_fields[0]->BwdTrans(WeakAdv[0],outarray[0]);
                 
                 Vmath::Neg(npoints,outarray[0],1);
                 break;
             }
         case MultiRegions::eGalerkin:
         case MultiRegions::eMixed_CG_Discontinuous:
             {
                 // Calculate -V\cdot Grad(u);
                 for(i = 0; i < nvariables; ++i)
                 {
                     //Projection
                     m_fields[i]->FwdTrans(inarray[i],WeakAdv[i]);
                     
                     m_fields[i]->BwdTrans_IterPerExp(WeakAdv[i],tmp[i]);
                     
                     //Advection operator
                     AdvectionNonConservativeForm(m_velocity,tmp[i],outarray[i]);
                     
                     Vmath::Neg(npoints,outarray[i],1);
                     
                     //m_fields[i]->MultiplyByInvMassMatrix(WeakAdv[i],WeakAdv[i]);
                     //Projection
                     m_fields[i]->FwdTrans(outarray[i],WeakAdv[i]);
                     
                     m_fields[i]->BwdTrans_IterPerExp(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.get(),npoints,EIG_R.get(),EIG_I.get(),&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;
     }

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

protectedvirtual

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 227 of file EigenValuesAdvection.cpp.

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

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

void Nektar::EigenValuesAdvection::v_InitObject ( )

protectedvirtual

Initialisation object for EquationSystem.

Continuous field

Setting up the normals

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 52 of file EigenValuesAdvection.cpp.

References Nektar::SolverUtils::EquationSystem::EvaluateFunction(), Nektar::SolverUtils::EquationSystem::m_spacedim, m_velocity, and Nektar::SolverUtils::EquationSystem::v_InitObject().

     {
         EquationSystem::v_InitObject();
 
         // 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);
 
         EvaluateFunction(vel, m_velocity, "AdvectionVelocity");
     }

void Nektar::EigenValuesAdvection::v_NumericalFlux	(	Array< OneD, Array< OneD, NekDouble > > &	physfield,
		Array< OneD, Array< OneD, NekDouble > > &	numflux
	)

protectedvirtual

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 239 of file EigenValuesAdvection.cpp.

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

     {
         int i;
         
         int nTraceNumPoints = GetTraceNpoints();
         int nvel = m_spacedim; //m_velocity.num_elements();
         
         Array<OneD, NekDouble > Fwd(nTraceNumPoints);
         Array<OneD, NekDouble > Bwd(nTraceNumPoints);
         Array<OneD, NekDouble > Vn (nTraceNumPoints,0.0);       
         
         //Get Edge Velocity - Could be stored if time independent
         for(i = 0; i < nvel; ++i)
         {
             m_fields[0]->ExtractTracePhys(m_velocity[i], Fwd);
             Vmath::Vvtvp(nTraceNumPoints,m_traceNormals[i],1,Fwd,1,Vn,1,Vn,1);
         }
         
         for(i = 0; i < numflux.num_elements(); ++i)
         {
             m_fields[i]->GetFwdBwdTracePhys(physfield[i],Fwd,Bwd);
             m_fields[i]->GetTrace()->Upwind(Vn,Fwd,Bwd,numflux[i]);
             // calculate m_fields[i]*Vn
             Vmath::Vmul(nTraceNumPoints,numflux[i],1,Vn,1,numflux[i],1);
         }
     }

Friends And Related Function Documentation

friend class MemoryManager< EigenValuesAdvection >

friend

Definition at line 48 of file EigenValuesAdvection.h.

Member Data Documentation

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

static

Name of class.

Definition at line 58 of file EigenValuesAdvection.h.

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

protected

Definition at line 63 of file EigenValuesAdvection.h.

Referenced by v_DoSolve(), v_GetFluxVector(), v_InitObject(), and v_NumericalFlux().

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation