#include <ImageWarpingSystem.h>

Inheritance diagram for Nektar::ImageWarpingSystem:

Public Member Functions
	~ImageWarpingSystem () override

Public Member Functions inherited from Nektar::SolverUtils::AdvectionSystem
SOLVER_UTILS_EXPORT	AdvectionSystem (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)

SOLVER_UTILS_EXPORT	~AdvectionSystem () override

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

SOLVER_UTILS_EXPORT AdvectionSharedPtr	GetAdvObject ()
	Returns the advection object held by this instance. More...

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	GetElmtCFLVals (const bool FlagAcousticCFL=true)

SOLVER_UTILS_EXPORT NekDouble	GetCFLEstimate (int &elmtid)

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

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

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()

SOLVER_UTILS_EXPORT void	SetTimeStep (const NekDouble timestep)

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

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

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

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

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

SOLVER_UTILS_EXPORT void	DoInitialise (bool dumpInitialConditions=true)
	Perform any initialisation necessary before solving the problem. More...

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

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

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

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

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

template<class T >
std::shared_ptr< T >	as ()

SOLVER_UTILS_EXPORT void	ResetSessionName (std::string newname)
	Reset Session name. More...

SOLVER_UTILS_EXPORT LibUtilities::SessionReaderSharedPtr	GetSession ()
	Get Session name. More...

SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	GetPressure ()
	Get pressure field if available. More...

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

SOLVER_UTILS_EXPORT void	PrintSummary (std::ostream &out)
	Print a summary of parameters and solver characteristics. More...

SOLVER_UTILS_EXPORT void	SetLambda (NekDouble lambda)
	Set parameter m_lambda. More...

SOLVER_UTILS_EXPORT SessionFunctionSharedPtr	GetFunction (std::string name, const MultiRegions::ExpListSharedPtr &field=MultiRegions::NullExpListSharedPtr, bool cache=false)
	Get a SessionFunction by name. More...

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

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

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

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

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

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

SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n)
	Write checkpoint file of m_fields. More...

SOLVER_UTILS_EXPORT void	Checkpoint_Output (const int n, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
	Write checkpoint file of custom data fields. More...

SOLVER_UTILS_EXPORT void	Checkpoint_BaseFlow (const int n)
	Write base flow file of m_fields. More...

SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname)
	Write field data to the given filename. More...

SOLVER_UTILS_EXPORT void	WriteFld (const std::string &outname, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
	Write input fields to the given filename. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
	Input field data from the given file. More...

SOLVER_UTILS_EXPORT void	ImportFldToMultiDomains (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const int ndomains)
	Input field data from the given file to multiple domains. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, std::vector< std::string > &fieldStr, Array< OneD, Array< OneD, NekDouble > > &coeffs)
	Output a field. Input field data into array from the given file. More...

SOLVER_UTILS_EXPORT void	ImportFld (const std::string &infile, MultiRegions::ExpListSharedPtr &pField, std::string &pFieldName)
	Output a field. Input field data into ExpList from the given file. More...

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

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

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

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

SOLVER_UTILS_EXPORT int	GetNcoeffs ()

SOLVER_UTILS_EXPORT int	GetNcoeffs (const int eid)

SOLVER_UTILS_EXPORT int	GetNumExpModes ()

SOLVER_UTILS_EXPORT const Array< OneD, int >	GetNumExpModesPerExp ()

SOLVER_UTILS_EXPORT int	GetNvariables ()

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

SOLVER_UTILS_EXPORT int	GetTraceTotPoints ()

SOLVER_UTILS_EXPORT int	GetTraceNpoints ()

SOLVER_UTILS_EXPORT int	GetExpSize ()

SOLVER_UTILS_EXPORT int	GetPhys_Offset (int n)

SOLVER_UTILS_EXPORT int	GetCoeff_Offset (int n)

SOLVER_UTILS_EXPORT int	GetTotPoints ()

SOLVER_UTILS_EXPORT int	GetTotPoints (int n)

SOLVER_UTILS_EXPORT int	GetNpoints ()

SOLVER_UTILS_EXPORT int	GetSteps ()

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()

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

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

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

SOLVER_UTILS_EXPORT void	SetSteps (const int steps)

SOLVER_UTILS_EXPORT void	ZeroPhysFields ()

SOLVER_UTILS_EXPORT void	FwdTransFields ()

SOLVER_UTILS_EXPORT void	SetModifiedBasis (const bool modbasis)

SOLVER_UTILS_EXPORT int	GetCheckpointNumber ()

SOLVER_UTILS_EXPORT void	SetCheckpointNumber (int num)

SOLVER_UTILS_EXPORT int	GetCheckpointSteps ()

SOLVER_UTILS_EXPORT void	SetCheckpointSteps (int num)

SOLVER_UTILS_EXPORT int	GetInfoSteps ()

SOLVER_UTILS_EXPORT void	SetInfoSteps (int num)

SOLVER_UTILS_EXPORT void	SetIterationNumberPIT (int num)

SOLVER_UTILS_EXPORT void	SetWindowNumberPIT (int num)

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

SOLVER_UTILS_EXPORT void	SetTime (const NekDouble time)

SOLVER_UTILS_EXPORT void	SetTimeStep (const NekDouble timestep)

SOLVER_UTILS_EXPORT void	SetInitialStep (const int step)

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

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

Public Member Functions inherited from Nektar::SolverUtils::ALEHelper
virtual	~ALEHelper ()=default

virtual SOLVER_UTILS_EXPORT void	v_ALEInitObject (int spaceDim, Array< OneD, MultiRegions::ExpListSharedPtr > &fields)

SOLVER_UTILS_EXPORT void	InitObject (int spaceDim, Array< OneD, MultiRegions::ExpListSharedPtr > &fields)

virtual SOLVER_UTILS_EXPORT void	v_UpdateGridVelocity (const NekDouble &time)

virtual SOLVER_UTILS_EXPORT void	v_ALEPreMultiplyMass (Array< OneD, Array< OneD, NekDouble > > &fields)

SOLVER_UTILS_EXPORT void	ALEDoElmtInvMass (Array< OneD, Array< OneD, NekDouble > > &traceNormals, Array< OneD, Array< OneD, NekDouble > > &fields, NekDouble time)
	Update m_fields with u^n by multiplying by inverse mass matrix. That's then used in e.g. checkpoint output and L^2 error calculation. More...

SOLVER_UTILS_EXPORT void	ALEDoElmtInvMassBwdTrans (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)

SOLVER_UTILS_EXPORT void	MoveMesh (const NekDouble &time, Array< OneD, Array< OneD, NekDouble > > &traceNormals)

const Array< OneD, const Array< OneD, NekDouble > > &	GetGridVelocity ()

SOLVER_UTILS_EXPORT const Array< OneD, const Array< OneD, NekDouble > > &	GetGridVelocityTrace ()

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

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...

Static Public Attributes inherited from Nektar::SolverUtils::UnsteadySystem
static std::string	cmdSetStartTime

static std::string	cmdSetStartChkNum

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

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)

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

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

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

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

Protected Member Functions inherited from Nektar::SolverUtils::AdvectionSystem
SOLVER_UTILS_EXPORT bool	v_PostIntegrate (int step) override

virtual SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	v_GetMaxStdVelocity (const NekDouble SpeedSoundFactor=1.0)

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

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

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

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

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

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

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

virtual SOLVER_UTILS_EXPORT NekDouble	v_GetTimeStep (const Array< OneD, const Array< OneD, NekDouble > > &inarray)
	Return the timestep to be used for the next step in the time-marching loop. More...

virtual SOLVER_UTILS_EXPORT bool	v_PreIntegrate (int step)

virtual SOLVER_UTILS_EXPORT bool	v_PostIntegrate (int step)

virtual SOLVER_UTILS_EXPORT bool	v_RequireFwdTrans ()

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

virtual SOLVER_UTILS_EXPORT bool	v_UpdateTimeStepCheck ()

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

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

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

SOLVER_UTILS_EXPORT void	DoDummyProjection (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
	Perform dummy projection. More...

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

virtual SOLVER_UTILS_EXPORT void	v_InitObject (bool DeclareFeld=true)
	Initialisation object for EquationSystem. More...

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

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

virtual SOLVER_UTILS_EXPORT NekDouble	v_LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray)
	Virtual function for the L_inf error computation between fields and a given exact solution. More...

virtual SOLVER_UTILS_EXPORT NekDouble	v_L2Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray, bool Normalised=false)
	Virtual function for the L_2 error computation between fields and a given exact solution. More...

virtual SOLVER_UTILS_EXPORT void	v_TransCoeffToPhys ()
	Virtual function for transformation to physical space. More...

virtual SOLVER_UTILS_EXPORT void	v_TransPhysToCoeff ()
	Virtual function for transformation to coefficient space. More...

virtual SOLVER_UTILS_EXPORT void	v_GenerateSummary (SummaryList &l)
	Virtual function for generating summary information. More...

virtual SOLVER_UTILS_EXPORT void	v_SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)

virtual SOLVER_UTILS_EXPORT void	v_EvaluateExactSolution (unsigned int field, Array< OneD, NekDouble > &outfield, const NekDouble time)

virtual SOLVER_UTILS_EXPORT void	v_Output (void)

virtual SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	v_GetPressure (void)

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

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

Protected Attributes
SolverUtils::RiemannSolverSharedPtr	m_riemannSolver

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

Array< OneD, NekDouble >	m_traceVn

NekDouble	m_alpha

Protected Attributes inherited from Nektar::SolverUtils::AdvectionSystem
SolverUtils::AdvectionSharedPtr	m_advObject
	Advection term. More...

Protected Attributes inherited from Nektar::SolverUtils::UnsteadySystem
LibUtilities::TimeIntegrationSchemeSharedPtr	m_intScheme
	Wrapper to the time integration scheme. More...

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

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

std::vector< int >	m_intVariables

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

NekDouble	m_CFLGrowth
	CFL growth rate. More...

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

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

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

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

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

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

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

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

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

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

std::ofstream	m_errFile

NekDouble	m_epsilon
	Diffusion coefficient. More...

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

bool	m_verbose

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

std::map< std::string, SolverUtils::SessionFunctionSharedPtr >	m_sessionFunctions
	Map of known SessionFunctions. More...

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

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

SpatialDomains::BoundaryConditionsSharedPtr	m_boundaryConditions
	Pointer to boundary conditions object. More...

SpatialDomains::MeshGraphSharedPtr	m_graph
	Pointer to graph defining mesh. More...

std::string	m_sessionName
	Name of the session. More...

NekDouble	m_time
	Current time of simulation. More...

int	m_initialStep
	Number of the step where the simulation should begin. More...

NekDouble	m_fintime
	Finish time of the simulation. More...

NekDouble	m_timestep
	Time step size. More...

NekDouble	m_lambda
	Lambda constant in real system if one required. More...

NekDouble	m_checktime
	Time between checkpoints. More...

NekDouble	m_lastCheckTime

NekDouble	m_TimeIncrementFactor

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

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

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

int	m_infosteps
	Number of time steps between outputting status information. More...

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

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

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

int	m_expdim
	Expansion dimension. More...

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

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

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

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

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

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

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

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

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

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

Array< OneD, NekDouble >	m_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...

Protected Attributes inherited from Nektar::SolverUtils::ALEHelper
Array< OneD, MultiRegions::ExpListSharedPtr >	m_fieldsALE

Array< OneD, Array< OneD, NekDouble > >	m_gridVelocity

Array< OneD, Array< OneD, NekDouble > >	m_gridVelocityTrace

std::vector< ALEBaseShPtr >	m_ALEs

bool	m_ALESolver = false

bool	m_ImplicitALESolver = false

NekDouble	m_prevStageTime = 0.0

int	m_spaceDim

Friends
class	MemoryManager< ImageWarpingSystem >

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

Static Protected Attributes inherited from Nektar::SolverUtils::EquationSystem
static std::string	equationSystemTypeLookupIds []

static std::string	projectionTypeLookupIds []

Detailed Description

Definition at line 45 of file ImageWarpingSystem.h.

Constructor & Destructor Documentation

◆ ~ImageWarpingSystem()

Nektar::ImageWarpingSystem::~ImageWarpingSystem ( )

override

Definition at line 122 of file ImageWarpingSystem.cpp.

123{

124}

◆ ImageWarpingSystem()

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

protected

Definition at line 50 of file ImageWarpingSystem.cpp.

    : UnsteadySystem(pSession, pGraph), AdvectionSystem(pSession, pGraph)
{
}

Member Function Documentation

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 51 of file ImageWarpingSystem.h.

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

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

◆ DoOdeProjection()

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 201 of file ImageWarpingSystem.cpp.

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

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().

◆ DoOdeRhs()

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 129 of file ImageWarpingSystem.cpp.

{
    int npoints = GetNpoints();
    int ncoeffs = inarray[0].size();
    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> tmp(npoints);
    Array<OneD, NekDouble> alloc(3 * npoints);
    Array<OneD, NekDouble> dIdx1(alloc);
    Array<OneD, NekDouble> dIdx2(alloc + npoints);
    Array<OneD, NekDouble> dIdx3(alloc + 2 * npoints);
 
    // 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 (int 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(), factors);
        m_fields[i + 2]->BwdTrans(m_fields[i + 2]->GetCoeffs(), m_velocity[i]);
    }
 
    // Calculate the weak advection operator for I and phi - result is put
    // in WeakAdv and is in physical space.
    m_advObject->Advect(2, m_fields, m_velocity, inarray, outarray, 0.0);
    for (int i = 0; i < 2; ++i)
    {
        Vmath::Neg(npoints, outarray[i], 1);
    }
 
    // 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);
 
    // Multiply by elemental inverse mass matrix, backwards transform
    m_fields[0]->MultiplyByElmtInvMass(tmp2, tmp2);
    m_fields[0]->BwdTrans(tmp2, tmp);
    Vmath::Vadd(npoints, outarray[0], 1, tmp, 1, outarray[0], 1);
}

References ASSERTL0, Nektar::MultiRegions::eDiscontinuous, Nektar::StdRegions::eFactorLambda, Nektar::VarcoeffHashingTest::factors, Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::AdvectionSystem::m_advObject, m_alpha, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, Nektar::SolverUtils::EquationSystem::m_session, m_velocity, Vmath::Neg(), Vmath::Smul(), Vmath::Vadd(), Vmath::Vmul(), and Vmath::Vvtvvtp().

Referenced by v_InitObject().

◆ GetFluxVector()

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

protected

Definition at line 258 of file ImageWarpingSystem.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::ImageWarpingSystem::GetNormalVelocity ( )

protected

Get the normal velocity.

Definition at line 233 of file ImageWarpingSystem.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_GenerateSummary()

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

overrideprotectedvirtual

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 279 of file ImageWarpingSystem.cpp.

{
    AdvectionSystem::v_GenerateSummary(s);
}

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

◆ v_InitObject()

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

overrideprotectedvirtual

Initialisation object for EquationSystem.

Continuous field

Setting up the normals

Reimplemented from Nektar::SolverUtils::AdvectionSystem.

Definition at line 60 of file ImageWarpingSystem.cpp.

{
    AdvectionSystem::v_InitObject(DeclareField);
 
    // 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::ContFieldSharedPtr fld =
        MemoryManager<MultiRegions::ContField>::AllocateSharedPtr(
            m_session, m_graph, m_session->GetVariable(2));
    m_fields[2] = fld;
    m_fields[3] = MemoryManager<MultiRegions::ContField>::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);
 
    // 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(&ImageWarpingSystem::GetFluxVector, this);
    m_session->LoadSolverInfo("UpwindType", riemName, "Upwind");
    m_riemannSolver = SolverUtils::GetRiemannSolverFactory().CreateInstance(
        riemName, m_session);
    m_riemannSolver->SetScalar("Vn", &ImageWarpingSystem::GetNormalVelocity,
                               this);
 
    m_advObject->SetRiemannSolver(m_riemannSolver);
    m_advObject->InitObject(m_session, m_fields);
 
    if (m_explicitAdvection)
    {
        m_ode.DefineOdeRhs(&ImageWarpingSystem::DoOdeRhs, this);
        m_ode.DefineProjection(&ImageWarpingSystem::DoOdeProjection, this);
    }
    else
    {
        ASSERTL0(false, "Implicit unsteady Advection not set up.");
    }
}

Friends And Related Function Documentation

◆ MemoryManager< ImageWarpingSystem >

friend class MemoryManager< ImageWarpingSystem >

friend

Definition at line 1 of file ImageWarpingSystem.h.

Member Data Documentation

◆ className

string Nektar::ImageWarpingSystem::className

static

Initial value:

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

Name of class.

Definition at line 62 of file ImageWarpingSystem.h.

◆ m_alpha

NekDouble Nektar::ImageWarpingSystem::m_alpha

protected

Definition at line 70 of file ImageWarpingSystem.h.

Referenced by DoOdeRhs().

◆ m_riemannSolver

SolverUtils::RiemannSolverSharedPtr Nektar::ImageWarpingSystem::m_riemannSolver

protected

Definition at line 67 of file ImageWarpingSystem.h.

Referenced by v_InitObject().

◆ m_traceVn

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

protected

Definition at line 69 of file ImageWarpingSystem.h.

Referenced by GetNormalVelocity(), and v_InitObject().

◆ m_velocity

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

protected

Definition at line 68 of file ImageWarpingSystem.h.

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

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ~ImageWarpingSystem()

◆ ImageWarpingSystem()

Member Function Documentation

◆ create()

◆ DoOdeProjection()

◆ DoOdeRhs()

◆ GetFluxVector()

◆ GetNormalVelocity()

◆ v_GenerateSummary()

◆ v_InitObject()

Friends And Related Function Documentation

◆ MemoryManager< ImageWarpingSystem >

Member Data Documentation

◆ className

◆ m_alpha

◆ m_riemannSolver

◆ m_traceVn

◆ m_velocity