#include <ImageWarpingSystem.h>

Inheritance diagram for Nektar::ImageWarpingSystem:

Public Member Functions
virtual	~ImageWarpingSystem ()

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

virtual SOLVER_UTILS_EXPORT	~AdvectionSystem ()

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

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	GetElmtCFLVals (void)

SOLVER_UTILS_EXPORT NekDouble	GetCFLEstimate (int &elmtid)

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 >
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 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	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	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	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 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, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Creates an instance of this class. More...

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

Protected Member Functions
	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...

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

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

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

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

virtual SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	v_GetMaxStdVelocity ()

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 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 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_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, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Initialises EquationSystem class members. 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_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 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
int	m_infosteps
	Number of time steps between outputting status information. More...

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

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

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

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

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

std::ofstream	m_errFile

std::vector< int >	m_intVariables

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

NekDouble	m_filterTimeWarning
	Number of time steps between outputting status information. More...

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

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...

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, 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...

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

Detailed Description

Definition at line 45 of file ImageWarpingSystem.h.

Constructor & Destructor Documentation

◆ ~ImageWarpingSystem()

Nektar::ImageWarpingSystem::~ImageWarpingSystem ( )

virtual

Definition at line 120 of file ImageWarpingSystem.cpp.

     {
 
     }

◆ 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.

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

         {
             EquationSystemSharedPtr p = MemoryManager<ImageWarpingSystem>
                 ::AllocateSharedPtr(pSession, pGraph);
             p->InitObject();
             return 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 204 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 nvariables = inarray.num_elements();
         SetBoundaryConditions(time);
         
         switch(m_projectionType)
         {
         case MultiRegions::eDiscontinuous:
             {
                 // Just copy over array
                 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;
         }
     }

◆ 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 125 of file ImageWarpingSystem.cpp.

References ASSERTL0, Nektar::MultiRegions::eDiscontinuous, Nektar::StdRegions::eFactorLambda, 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(), Nektar::NullFlagList, Vmath::Smul(), Vmath::Vadd(), Vmath::Vmul(), and Vmath::Vvtvvtp().

Referenced by v_InitObject().

     {
         boost::ignore_unused(time);
 
         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> 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(),
                                      NullFlagList, 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);
     }

◆ GetFluxVector()

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

protected

Definition at line 259 of file ImageWarpingSystem.cpp.

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

Referenced by v_InitObject().

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

◆ GetNormalVelocity()

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

protected

Get the normal velocity.

Definition at line 234 of file ImageWarpingSystem.cpp.

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().

     {
         // 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.num_elements(); ++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;
     }

◆ v_GenerateSummary()

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 278 of file ImageWarpingSystem.cpp.

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

     {
         AdvectionSystem::v_GenerateSummary(s);
     }

◆ v_InitObject()

void Nektar::ImageWarpingSystem::v_InitObject ( )

protectedvirtual

Init object for UnsteadySystem class.

Initialization object for UnsteadySystem class.

Reimplemented from Nektar::SolverUtils::AdvectionSystem.

Definition at line 58 of file ImageWarpingSystem.cpp.

     {
         AdvectionSystem::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);
         
         // 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 48 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 61 of file ImageWarpingSystem.h.

◆ m_alpha

NekDouble Nektar::ImageWarpingSystem::m_alpha

protected

Definition at line 69 of file ImageWarpingSystem.h.

Referenced by DoOdeRhs().

◆ m_riemannSolver

SolverUtils::RiemannSolverSharedPtr Nektar::ImageWarpingSystem::m_riemannSolver

protected

Definition at line 66 of file ImageWarpingSystem.h.

Referenced by v_InitObject().

◆ m_traceVn

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

protected

Definition at line 68 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 67 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