#include <ImageWarpingSystem.h>

Inheritance diagram for Nektar::ImageWarpingSystem:

Collaboration diagram for Nektar::ImageWarpingSystem:

Public Member Functions
virtual	~ImageWarpingSystem ()

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

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep (const Array< OneD, const Array< OneD, NekDouble > > &inarray)
	Calculate the larger time-step mantaining the problem stable. More...

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

SOLVER_UTILS_EXPORT void	SetUpTraceNormals (void)

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

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

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

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

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

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

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

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

template<class T >
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
	Name of class. More...

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

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

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

virtual void	v_InitObject ()
	Init object for UnsteadySystem class. 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)

virtual void	v_GenerateSummary (SolverUtils::SummaryList &s)
	Print a summary of time stepping parameters. More...

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

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

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

virtual SOLVER_UTILS_EXPORT void	v_DoInitialise ()
	Sets up initial conditions. More...

virtual SOLVER_UTILS_EXPORT void	v_AppendOutput1D (Array< OneD, Array< OneD, NekDouble > > &solution1D)
	Print the solution at each solution point in a txt file. More...

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

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

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

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_SteadyStateCheck (int step)

virtual SOLVER_UTILS_EXPORT bool	v_RequireFwdTrans ()

SOLVER_UTILS_EXPORT void	CheckForRestartTime (NekDouble &time, int &nchk)

SOLVER_UTILS_EXPORT void	SVVVarDiffCoeff (const Array< OneD, Array< OneD, NekDouble > > vel, StdRegions::VarCoeffMap &varCoeffMap)
	Evaluate the SVV diffusion coefficient according to Moura's paper where it should proportional to h time velocity. More...

Protected Member Functions inherited from Nektar::SolverUtils::EquationSystem
SOLVER_UTILS_EXPORT	EquationSystem (const LibUtilities::SessionReaderSharedPtr &pSession)
	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_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	EvaluateFunctionExp (std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, const NekDouble &pTime=0.0, const int domain=0)

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

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

SOLVER_UTILS_EXPORT void	LoadPts (std::string funcFilename, std::string filename, Nektar::LibUtilities::PtsFieldSharedPtr &outPts)

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

NekDouble	m_alpha

Protected Attributes inherited from Nektar::SolverUtils::UnsteadySystem
int	m_infosteps
	Number of time steps between outputting status information. More...

int	m_nanSteps

LibUtilities::TimeIntegrationWrapperSharedPtr	m_intScheme
	Wrapper to the time integration scheme. More...

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

LibUtilities::TimeIntegrationSolutionSharedPtr	m_intSoln

NekDouble	m_epsilon

bool	m_explicitDiffusion
	Indicates if explicit or implicit treatment of diffusion is used. More...

bool	m_explicitAdvection
	Indicates if explicit or implicit treatment of advection is used. More...

bool	m_explicitReaction
	Indicates if explicit or implicit treatment of reaction is used. More...

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

std::vector< int >	m_intVariables

std::vector< FilterSharedPtr >	m_filters

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, FieldUtils::Interpolator >	m_interpolators
	Map of interpolator objects. More...

std::map< std::string, std::pair< std::string, LibUtilities::PtsFieldSharedPtr > >	m_loadedPtsFields
	pts fields we already read from disk: {funcFilename: (filename, ptsfield)} More...

std::map< std::string, std::pair< std::string, loadedFldField > >	m_loadedFldFields

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...

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< ImageWarpingSystem >

Additional Inherited Members
Public Attributes inherited from Nektar::SolverUtils::UnsteadySystem
NekDouble	m_cflSafetyFactor
	CFL safety factor (comprise between 0 to 1). More...

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

Detailed Description

Definition at line 45 of file ImageWarpingSystem.h.

Constructor & Destructor Documentation

Nektar::ImageWarpingSystem::~ImageWarpingSystem ( )

virtual

Definition at line 93 of file ImageWarpingSystem.cpp.

     {
 
     }

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

protected

Definition at line 49 of file ImageWarpingSystem.cpp.

         : UnsteadySystem(pSession)
     {
     }

Member Function Documentation

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

inlinestatic

Creates an instance of this class.

Definition at line 51 of file ImageWarpingSystem.h.

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

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

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

protected

Definition at line 184 of file ImageWarpingSystem.cpp.

References ASSERTL0, Nektar::MultiRegions::eDiscontinuous, Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::SolverUtils::EquationSystem::SetBoundaryConditions(), and Vmath::Vcopy().

Referenced by v_InitObject().

     {
         int i;
         int nvariables = inarray.num_elements();
         SetBoundaryConditions(time);
         
         switch(m_projectionType)
         {
         case MultiRegions::eDiscontinuous:
             {
                 // Just copy over array
                 int npoints = GetNpoints();
 
                 for(i = 0; i < nvariables; ++i)
                 {
                     Vmath::Vcopy(npoints,inarray[i],1,outarray[i],1);
                 }
             }
             break;
         default:
             ASSERTL0(false,"Unknown projection scheme");
             break;
         }
     }

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

protected

Definition at line 98 of file ImageWarpingSystem.cpp.

References ASSERTL0, Nektar::MultiRegions::eDiscontinuous, Nektar::StdRegions::eFactorLambda, Nektar::SolverUtils::EquationSystem::GetNpoints(), m_alpha, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::SolverUtils::EquationSystem::m_session, m_velocity, Vmath::Neg(), Nektar::NullFlagList, Vmath::Smul(), Vmath::Vmul(), Vmath::Vsub(), Vmath::Vvtvvtp(), and Nektar::SolverUtils::EquationSystem::WeakDGAdvection().

Referenced by v_InitObject().

     {
         int i;
         int npoints = GetNpoints();
         int ncoeffs = inarray[0].num_elements();
         StdRegions::ConstFactorMap factors;
 
         // Load parameter alpha.
         m_session->LoadParameter("Alpha", m_alpha);
         
         ASSERTL0(m_projectionType == MultiRegions::eDiscontinuous,
                  "CG not implemented yet.");
 
         // Set up storage arrays.
         Array<OneD, NekDouble> alloc(3*npoints);
         Array<OneD, NekDouble> dIdx1(alloc);
         Array<OneD, NekDouble> dIdx2(alloc+npoints);
         Array<OneD, NekDouble> dIdx3(alloc+2*npoints);
         Array<OneD, NekDouble> tmp;
         Array<OneD, Array<OneD, NekDouble> > WeakAdv(2);
 
         // Calculate grad I.
         m_fields[0]->PhysDeriv(inarray[0], dIdx1, dIdx2);
         
         // Set factors.
         // TODO: Check - should be -1?
         factors[StdRegions::eFactorLambda] = 1.0 / m_alpha / m_alpha;
         
         // Multiply by phi, and perform Helmholtz solve to calculate the
         // advection velocity field.
         for (i = 0; i < 2; ++i)
         {
             Vmath::Vmul(npoints, &alloc[i*npoints], 1, inarray[1].get(), 1, 
                         m_fields[i+2]->UpdatePhys().get(), 1);
             Vmath::Smul(npoints, 1/m_alpha/m_alpha, m_fields[i+2]->GetPhys().get(), 1,
                         m_fields[i+2]->UpdatePhys().get(), 1);
             m_fields[i+2]->HelmSolve(m_fields[i+2]->GetPhys(), 
                                      m_fields[i+2]->UpdateCoeffs(),
                                      NullFlagList, factors);
             m_fields[i+2]->BwdTrans(m_fields[i+2]->GetCoeffs(), 
                                     m_velocity[i]);
         }
         
         // Set up arrays for weak advection output.
         WeakAdv[0] = Array<OneD, NekDouble>(2*ncoeffs);
         WeakAdv[1] = WeakAdv[0]+ncoeffs;
         
         // Calculate the weak advection operator for I and phi - result is put
         // in WeakAdv and is in coefficient space.
         WeakDGAdvection(inarray, WeakAdv, true, true, 2);
         
         // Calculate du/dx -> dIdx1, dv/dy -> dIdx2.
         m_fields[2]->PhysDeriv(m_velocity[0], dIdx1, dIdx3);
         m_fields[3]->PhysDeriv(m_velocity[1], dIdx3, dIdx2);
         
         // Calculate RHS = I*div(u) = I*du/dx + I*dv/dy -> dIdx1.
         Vmath::Vvtvvtp(npoints, dIdx1.get(), 1, inarray[0].get(), 1, 
                        dIdx2.get(), 1, inarray[0].get(), 1,
                        dIdx1.get(), 1);
         
         // Take inner product to get to coefficient space.
         Array<OneD, NekDouble> tmp2(ncoeffs);
         m_fields[0]->IProductWRTBase(dIdx1, tmp2);
         
         // Add this to the weak advection for intensity field
         // equation. 
         Vmath::Vsub(npoints, WeakAdv[0], 1, tmp2, 1, WeakAdv[0], 1);
          
         // Multiply by elemental inverse mass matrix, backwards transform and
         // negate (to put on RHS of ODE).
         for(i = 0; i < 2; ++i)
         {
             m_fields[i]->MultiplyByElmtInvMass(WeakAdv[i], WeakAdv[i]);
             m_fields[i]->BwdTrans(WeakAdv[i],outarray[i]);
             Vmath::Neg(npoints,outarray[i],1);
         }
     }

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

protectedvirtual

Print a summary of time stepping parameters.

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

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 255 of file ImageWarpingSystem.cpp.

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

     {
         UnsteadySystem::v_GenerateSummary(s);
     }

void Nektar::ImageWarpingSystem::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 213 of file ImageWarpingSystem.cpp.

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

     {
         for(int j = 0; j < flux.num_elements(); ++j)
         {
             Vmath::Vmul(GetNpoints(),physfield[i],1,
                 m_velocity[j],1,flux[j],1);
         }
     }

void Nektar::ImageWarpingSystem::v_InitObject ( )

protectedvirtual

Init object for UnsteadySystem class.

Initialization object for UnsteadySystem class.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 55 of file ImageWarpingSystem.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineOdeRhs(), Nektar::LibUtilities::TimeIntegrationSchemeOperators::DefineProjection(), DoOdeProjection(), DoOdeRhs(), Nektar::SolverUtils::UnsteadySystem::m_explicitAdvection, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_graph, Nektar::SolverUtils::UnsteadySystem::m_intVariables, Nektar::SolverUtils::UnsteadySystem::m_ode, Nektar::SolverUtils::EquationSystem::m_session, Nektar::SolverUtils::EquationSystem::m_spacedim, m_velocity, and Nektar::SolverUtils::UnsteadySystem::v_InitObject().

     {
         UnsteadySystem::v_InitObject();
 
         // Define Velocity fields
         m_velocity = Array<OneD, Array<OneD, NekDouble> >(m_spacedim);
         int nq = m_fields[0]->GetNpoints();
 
         for(int i = 0; i < m_spacedim; ++i)
         {
             m_velocity[i] = Array<OneD, NekDouble> (nq,0.0);
         }
 
         // Bit of a hack: redefine u/v fields so they are continuous for
         // Helmholtz solve.
         MultiRegions::ContField2DSharedPtr fld = 
             MemoryManager<MultiRegions::ContField2D>
             ::AllocateSharedPtr(m_session,m_graph,m_session->GetVariable(2));
         m_fields[2] = fld;
         m_fields[3] = MemoryManager<MultiRegions::ContField2D>
             ::AllocateSharedPtr(*fld,m_graph,m_session->GetVariable(3));
 
         // Tell UnsteadySystem to only integrate first two fields (i.e. I and
         // phi).
         m_intVariables.push_back(0);
         m_intVariables.push_back(1);
         
         if (m_explicitAdvection)
         {
             m_ode.DefineOdeRhs     (&ImageWarpingSystem::DoOdeRhs,        this);
             m_ode.DefineProjection (&ImageWarpingSystem::DoOdeProjection, this);
         }
         else
         {
             ASSERTL0(false, "Implicit unsteady Advection not set up.");
         }
     }

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

protectedvirtual

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 225 of file ImageWarpingSystem.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
         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);
             // Evaulate upwinded m_fields[i]
             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< ImageWarpingSystem >

friend

Definition at line 48 of file ImageWarpingSystem.h.

Member Data Documentation

string Nektar::ImageWarpingSystem::className

static

Initial value:

= 
        GetEquationSystemFactory().RegisterCreatorFunction(
            "ImageWarpingSystem", 
            ImageWarpingSystem::create, 
            "Image warping system.")

Name of class.

Definition at line 58 of file ImageWarpingSystem.h.

NekDouble Nektar::ImageWarpingSystem::m_alpha

protected

Definition at line 64 of file ImageWarpingSystem.h.

Referenced by DoOdeRhs().

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

protected

Definition at line 63 of file ImageWarpingSystem.h.

Referenced by DoOdeRhs(), 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