#include <SmoothedProfileMethod.h>

Inheritance diagram for Nektar::SmoothedProfileMethod:

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

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

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

Static Public Attributes inherited from Nektar::VelocityCorrectionScheme
static std::string	className
	Name of class.

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

static std::string	cmdSetStartChkNum

Protected Member Functions
	SmoothedProfileMethod (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Construct a new Smoothed Profile Method object.

	~SmoothedProfileMethod () override=default

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

void	v_GenerateSummary (SolverUtils::SummaryList &s) override
	Generates the summary of the current simulation.

void	v_SolveUnsteadyStokesSystem (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, NekDouble time, NekDouble a_iixDt) override
	Linear terms due to pressure and visosity are calculated here. After solving the velocity filed without taking into account the immersed boundaries, a new correction is applied through the force \(f_s\):

void	SetUpCorrectionPressure (const Array< OneD, const Array< OneD, NekDouble > > &fields, Array< OneD, Array< OneD, NekDouble > > &Forcing)
	Sets the forcing term of the equation for the correction pressure \(p_p\):

void	SolveCorrectionPressure (const Array< OneD, NekDouble > &Forcing)
	Solves the Poisson equation for the correction pressure \(p_p\):

void	SolveCorrectedVelocity (Array< OneD, Array< OneD, NekDouble > > &Forcing, Array< OneD, Array< OneD, NekDouble > > &fields, NekDouble dt)
	Corrects the velocity field so that the IBs are taken into account. Solves the explicit equation:

void	SetCorrectionPressureBCs ()
	Updates the BCs for boundaries with Neumann or periodic BCs in the pressure:

void	UpdatePhiUp (NekDouble time)
	Calculates the values of the shape function.

void	UpdateForcing (const Array< OneD, const Array< OneD, NekDouble > > &fields, NekDouble dt)
	For a body with a velocity \(\mathbf{u_p}\), the force \(\mathbf{f_s}\) applied to the fluid ensures that the IBC are met:

bool	GetVarTimeDependence (std::string funcName, std::string attrName)
	True if the function is timedependent, false otherwise.

TiXmlElement *	GetFunctionHdl (std::string functionName)
	Returns a handle to the requested function. Returns NULL if it does not exist.

void	ReadPhi ()

template<typename T >
void	SetUpExpansions (int nvel)
	Initialises the expansions for the intermediate pressure, the 'Phi' function and the IB forcing.

Protected Member Functions inherited from Nektar::VelocityCorrectionScheme
	VelocityCorrectionScheme (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)

	~VelocityCorrectionScheme () override=default

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

void	SetupFlowrate (NekDouble aii_dt)
	Set up the Stokes solution used to impose constant flowrate through a boundary.

NekDouble	MeasureFlowrate (const Array< OneD, Array< OneD, NekDouble > > &inarray)
	Measure the volumetric flow rate through the volumetric flow rate reference surface.

bool	v_PostIntegrate (int step) override

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

void	v_TransCoeffToPhys (void) override
	Virtual function for transformation to physical space.

void	v_TransPhysToCoeff (void) override
	Virtual function for transformation to coefficient space.

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

Array< OneD, bool >	v_GetSystemSingularChecks () override

int	v_GetForceDimension () override

virtual void	v_SetUpPressureForcing (const Array< OneD, const Array< OneD, NekDouble > > &fields, Array< OneD, Array< OneD, NekDouble > > &Forcing, const NekDouble aii_Dt)

virtual void	v_SetUpViscousForcing (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &Forcing, const NekDouble aii_Dt)

virtual void	v_SolvePressure (const Array< OneD, NekDouble > &Forcing)

virtual void	v_SolveViscous (const Array< OneD, const Array< OneD, NekDouble > > &Forcing, const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble aii_Dt)

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

bool	v_RequireFwdTrans () override

virtual std::string	v_GetExtrapolateStr (void)

virtual std::string	v_GetSubSteppingExtrapolateStr (const std::string &instr)

void	SetUpSVV (void)

void	SetUpExtrapolation (void)

void	SVVVarDiffCoeff (const NekDouble velmag, Array< OneD, NekDouble > &diffcoeff, const Array< OneD, Array< OneD, NekDouble > > &vel=NullNekDoubleArrayOfArray)

void	AppendSVVFactors (StdRegions::ConstFactorMap &factors, MultiRegions::VarFactorsMap &varFactorsMap)

void	ComputeGJPNormalVelocity (const Array< OneD, const Array< OneD, NekDouble > > &inarray, StdRegions::VarCoeffMap &varcoeffs)

Protected Member Functions inherited from Nektar::IncNavierStokes
	IncNavierStokes (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
	Constructor.

	~IncNavierStokes () override=default

void	v_GetPressure (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &pressure) override

void	v_GetDensity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &density) override

bool	v_HasConstantDensity () override

void	v_GetVelocity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &velocity) override

void	v_SetMovingFrameVelocities (const Array< OneD, NekDouble > &vFrameVels, const int step) override

bool	v_GetMovingFrameVelocities (Array< OneD, NekDouble > &vFrameVels, const int step) override

void	v_SetMovingFrameDisp (const Array< OneD, NekDouble > &vFrameDisp, const int step) override

void	v_SetMovingFramePivot (const Array< OneD, NekDouble > &vFramePivot) override

bool	v_GetMovingFrameDisp (Array< OneD, NekDouble > &vFrameDisp, const int step) override

void	v_SetAeroForce (Array< OneD, NekDouble > forces) override

void	v_GetAeroForce (Array< OneD, NekDouble > forces) override

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

void	WriteModalEnergy (void)

void	SetBoundaryConditions (NekDouble time)
	time dependent boundary conditions updating

void	SetRadiationBoundaryForcing (int fieldid)
	Set Radiation forcing term.

void	SetZeroNormalVelocity ()
	Set Normal Velocity Component to Zero.

void	SetWomersleyBoundary (const int fldid, const int bndid)
	Set Womersley Profile if specified.

void	SetUpWomersley (const int fldid, const int bndid, std::string womstr)
	Set Up Womersley details.

MultiRegions::ExpListSharedPtr	v_GetPressure () override

Array< OneD, NekDouble >	v_GetMaxStdVelocity (const NekDouble SpeedSoundFactor) override

bool	v_PreIntegrate (int step) override

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

SOLVER_UTILS_EXPORT void	v_DoSolve () override
	Solves an unsteady problem.

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

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

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.

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.

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.

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.

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

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.

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.

virtual SOLVER_UTILS_EXPORT NekDouble	v_H1Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray, bool Normalised=false)
	Virtual function for the H_1 error computation between fields and a given exact solution.

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

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

Protected Attributes
MultiRegions::ExpListSharedPtr	m_pressureP
	Correction pressure field for SPM.

Array< OneD, Array< OneD, NekDouble > >	m_up
	Velocity of the immersed body(ies)

Array< OneD, Array< OneD, NekDouble > >	m_upPrev

std::vector< std::string >	m_velName
	Vector storing the names of the components of \u_p.

bool	m_timeDependentUp
	Flag signaling if \(\u_p\) depends on time.

NekDouble	m_gamma0
	Stiffly-stable scheme \(\gamma_0\) coefficient.

Array< OneD, MultiRegions::ExpListSharedPtr >	m_fs
	Forcing function 'f_s'.

MultiRegions::ExpListSharedPtr	m_phi
	Shape function 'phi' as expansion list.

SolverUtils::SessionFunctionSharedPtr	m_phiEvaluator
	Function that evaluates the values of \Phi.

bool	m_timeDependentPhi
	Flag that is true when phi depends on time.

bool	m_filePhi
	Flag indicating that phi was defined in a file.

int	m_forcesFilter
	Position of "AeroForcesSPM" filter in 'm_session->GetFilters()'.

Protected Attributes inherited from Nektar::VelocityCorrectionScheme
bool	m_useHomo1DSpecVanVisc
	bool to identify if spectral vanishing viscosity is active.

bool	m_useSpecVanVisc
	bool to identify if spectral vanishing viscosity is active.

bool	m_useGJPStabilisation
	bool to identify if GJP semi-implicit is active.

bool	m_useGJPNormalVel
	bool to identify if GJP normal Velocity should be applied in explicit approach

NekDouble	m_GJPJumpScale

NekDouble	m_sVVCutoffRatio
	cutt off ratio from which to start decayhing modes

NekDouble	m_sVVDiffCoeff
	Diffusion coefficient of SVV modes.

NekDouble	m_sVVCutoffRatioHomo1D

NekDouble	m_sVVDiffCoeffHomo1D
	Diffusion coefficient of SVV modes in homogeneous 1D Direction.

Array< OneD, NekDouble >	m_svvVarDiffCoeff
	Array of coefficient if power kernel is used in SVV.

bool	m_IsSVVPowerKernel
	Identifier for Power Kernel otherwise DG kernel.

Array< OneD, NekDouble >	m_diffCoeff
	Diffusion coefficients (will be kinvis for velocities)

StdRegions::VarCoeffMap	m_varCoeffLap
	Variable Coefficient map for the Laplacian which can be activated as part of SVV or otherwise.

NekDouble	m_flowrate
	Desired volumetric flowrate.

NekDouble	m_flowrateArea
	Area of the boundary through which we are measuring the flowrate.

bool	m_homd1DFlowinPlane

NekDouble	m_greenFlux
	Flux of the Stokes function solution.

NekDouble	m_alpha
	Current flowrate correction.

int	m_flowrateBndID
	Boundary ID of the flowrate reference surface.

int	m_planeID
	Plane ID for cases with homogeneous expansion.

MultiRegions::ExpListSharedPtr	m_flowrateBnd
	Flowrate reference surface.

Array< OneD, Array< OneD, NekDouble > >	m_flowrateStokes
	Stokes solution used to impose flowrate.

std::ofstream	m_flowrateStream
	Output stream to record flowrate.

int	m_flowrateSteps
	Interval at which to record flowrate data.

NekDouble	m_flowrateAiidt
	Value of aii_dt used to compute Stokes flowrate solution.

Array< OneD, Array< OneD, NekDouble > >	m_F

Protected Attributes inherited from Nektar::IncNavierStokes
ExtrapolateSharedPtr	m_extrapolation

IncBoundaryConditionsSharedPtr	m_IncNavierStokesBCs

std::ofstream	m_mdlFile
	modal energy file

bool	m_SmoothAdvection
	bool to identify if advection term smoothing is requested

std::vector< SolverUtils::ForcingSharedPtr >	m_forcing
	Forcing terms.

int	m_nConvectiveFields
	Number of fields to be convected;.

Array< OneD, int >	m_velocity
	int which identifies which components of m_fields contains the velocity (u,v,w);

MultiRegions::ExpListSharedPtr	m_pressure
	Pointer to field holding pressure field.

NekDouble	m_kinvis
	Kinematic viscosity.

int	m_energysteps
	dump energy to file at steps time

EquationType	m_equationType
	equation type;

Array< OneD, Array< OneD, int > >	m_fieldsBCToElmtID
	Mapping from BCs to Elmt IDs.

Array< OneD, Array< OneD, int > >	m_fieldsBCToTraceID
	Mapping from BCs to Elmt Edge IDs.

Array< OneD, Array< OneD, NekDouble > >	m_fieldsRadiationFactor
	RHS Factor for Radiation Condition.

int	m_intSteps
	Number of time integration steps AND Order of extrapolation for pressure boundary conditions.

Array< OneD, NekDouble >	m_pivotPoint
	pivot point for moving reference frame

Array< OneD, NekDouble >	m_aeroForces

std::map< int, std::map< int, WomersleyParamsSharedPtr > >	m_womersleyParams
	Womersley parameters if required.

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

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

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

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

std::vector< int >	m_intVariables

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

NekDouble	m_CFLGrowth
	CFL growth rate.

NekDouble	m_CFLEnd
	Maximun cfl in cfl growth.

int	m_abortSteps
	Number of steps between checks for abort conditions.

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

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

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

int	m_steadyStateSteps
	Check for steady state at step interval.

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

int	m_filtersInfosteps
	Number of time steps between outputting filters information.

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

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

std::ofstream	m_errFile

NekDouble	m_epsilon
	Diffusion coefficient.

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

bool	m_verbose

LibUtilities::SessionReaderSharedPtr	m_session
	The session reader.

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

LibUtilities::FieldIOSharedPtr	m_fld
	Field input/output.

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

SpatialDomains::BoundaryConditionsSharedPtr	m_boundaryConditions
	Pointer to boundary conditions object.

SpatialDomains::MeshGraphSharedPtr	m_graph
	Pointer to graph defining mesh.

std::string	m_sessionName
	Name of the session.

NekDouble	m_time
	Current time of simulation.

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

NekDouble	m_fintime
	Finish time of the simulation.

NekDouble	m_timestep
	Time step size.

NekDouble	m_lambda
	Lambda constant in real system if one required.

NekDouble	m_checktime
	Time between checkpoints.

NekDouble	m_lastCheckTime

NekDouble	m_TimeIncrementFactor

int	m_nchk
	Number of checkpoints written so far.

int	m_steps
	Number of steps to take.

int	m_checksteps
	Number of steps between checkpoints.

int	m_infosteps
	Number of time steps between outputting status information.

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

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

int	m_spacedim
	Spatial dimension (>= expansion dim).

int	m_expdim
	Expansion dimension.

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

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

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

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

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

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

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

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

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

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

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.

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

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

enum HomogeneousType	m_HomogeneousType

NekDouble	m_LhomX
	physical length in X direction (if homogeneous)

NekDouble	m_LhomY
	physical length in Y direction (if homogeneous)

NekDouble	m_LhomZ
	physical length in Z direction (if homogeneous)

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

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

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

int	m_HomoDirec
	number of homogenous directions

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_meshDistorted = false

bool	m_implicitALESolver = false

bool	m_updateNormals = false

NekDouble	m_prevStageTime = 0.0

int	m_spaceDim

Static Protected Attributes
static std::string	solverTypeLookupId

Static Protected Attributes inherited from Nektar::VelocityCorrectionScheme
static std::string	solverTypeLookupId

Static Protected Attributes inherited from Nektar::IncNavierStokes
static std::string	eqTypeLookupIds []

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

static std::string	projectionTypeLookupIds []

Friends
class	MemoryManager< SmoothedProfileMethod >

Additional Inherited Members
Public Member Functions inherited from Nektar::VelocityCorrectionScheme
void	SetUpPressureForcing (const Array< OneD, const Array< OneD, NekDouble > > &fields, Array< OneD, Array< OneD, NekDouble > > &Forcing, const NekDouble aii_Dt)

void	SetUpViscousForcing (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &Forcing, const NekDouble aii_Dt)

void	SolvePressure (const Array< OneD, NekDouble > &Forcing)

void	SolveViscous (const Array< OneD, const Array< OneD, NekDouble > > &Forcing, const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble aii_Dt)

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

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

Public Member Functions inherited from Nektar::IncNavierStokes
int	GetNConvectiveFields (void)

void	AddForcing (const SolverUtils::ForcingSharedPtr &pForce)

bool	DefinedForcing (const std::string &sForce)

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=default

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

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=default
	Destructor.

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

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.

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

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

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

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

SOLVER_UTILS_EXPORT void	DoSolve ()
	Solve the problem.

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

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

SOLVER_UTILS_EXPORT void	Output ()
	Perform output operations after solve.

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

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

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

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

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

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.

SOLVER_UTILS_EXPORT void	SetLambda (NekDouble lambda)
	Set parameter m_lambda.

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

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

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

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.

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

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

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

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].

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

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.

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

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

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.

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

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.

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.

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.

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

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

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

SOLVER_UTILS_EXPORT NekDouble	GetTime ()
	Return final time.

SOLVER_UTILS_EXPORT int	GetNcoeffs ()

SOLVER_UTILS_EXPORT int	GetNcoeffs (const int eid)

SOLVER_UTILS_EXPORT int	GetNumExpModes ()

SOLVER_UTILS_EXPORT const Array< OneD, int >	GetNumExpModesPerExp ()

SOLVER_UTILS_EXPORT int	GetNvariables ()

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

SOLVER_UTILS_EXPORT int	GetTraceTotPoints ()

SOLVER_UTILS_EXPORT int	GetTraceNpoints ()

SOLVER_UTILS_EXPORT int	GetExpSize ()

SOLVER_UTILS_EXPORT int	GetPhys_Offset (int n)

SOLVER_UTILS_EXPORT int	GetCoeff_Offset (int n)

SOLVER_UTILS_EXPORT int	GetTotPoints ()

SOLVER_UTILS_EXPORT int	GetTotPoints (int n)

SOLVER_UTILS_EXPORT int	GetNpoints ()

SOLVER_UTILS_EXPORT int	GetSteps ()

SOLVER_UTILS_EXPORT void	SetSteps (const int steps)

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()

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

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

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

SOLVER_UTILS_EXPORT void	ZeroPhysFields ()

SOLVER_UTILS_EXPORT void	FwdTransFields ()

SOLVER_UTILS_EXPORT void	SetModifiedBasis (const bool modbasis)

SOLVER_UTILS_EXPORT int	GetCheckpointNumber ()

SOLVER_UTILS_EXPORT void	SetCheckpointNumber (int num)

SOLVER_UTILS_EXPORT int	GetCheckpointSteps ()

SOLVER_UTILS_EXPORT void	SetCheckpointSteps (int num)

SOLVER_UTILS_EXPORT int	GetInfoSteps ()

SOLVER_UTILS_EXPORT void	SetInfoSteps (int num)

SOLVER_UTILS_EXPORT void	SetIterationNumberPIT (int num)

SOLVER_UTILS_EXPORT void	SetWindowNumberPIT (int num)

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

SOLVER_UTILS_EXPORT void	SetTime (const NekDouble time)

SOLVER_UTILS_EXPORT void	SetTimeStep (const NekDouble timestep)

SOLVER_UTILS_EXPORT void	SetInitialStep (const int step)

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

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

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.

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)

SOLVER_UTILS_EXPORT void	ResetMatricesNormal (Array< OneD, Array< OneD, NekDouble > > &traceNormals)

SOLVER_UTILS_EXPORT void	UpdateNormalsFlag ()

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

bool &	GetUpdateNormalsFlag ()

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)

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

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

SOLVER_UTILS_EXPORT void	GetVelocity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &velocity)
	Extract array with velocity from physfield.

SOLVER_UTILS_EXPORT bool	HasConstantDensity ()

SOLVER_UTILS_EXPORT void	GetDensity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &density)
	Extract array with density from physfield.

SOLVER_UTILS_EXPORT void	GetPressure (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &pressure)
	Extract array with pressure from physfield.

SOLVER_UTILS_EXPORT void	SetMovingFrameVelocities (const Array< OneD, NekDouble > &vFrameVels, const int step)

SOLVER_UTILS_EXPORT bool	GetMovingFrameVelocities (Array< OneD, NekDouble > &vFrameVels, const int step)

SOLVER_UTILS_EXPORT void	SetMovingFrameDisp (const Array< OneD, NekDouble > &vFrameDisp, const int step)

SOLVER_UTILS_EXPORT void	SetMovingFramePivot (const Array< OneD, NekDouble > &vFramePivot)

SOLVER_UTILS_EXPORT bool	GetMovingFrameDisp (Array< OneD, NekDouble > &vFrameDisp, const int step)

SOLVER_UTILS_EXPORT void	SetAeroForce (Array< OneD, NekDouble > forces)
	Set aerodynamic force and moment.

SOLVER_UTILS_EXPORT void	GetAeroForce (Array< OneD, NekDouble > forces)
	Get aerodynamic force and moment.

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 SmoothedProfileMethod.h.

Constructor & Destructor Documentation

◆ SmoothedProfileMethod()

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

protected

Construct a new Smoothed Profile Method object.

Parameters

pSession
pGraph

Definition at line 61 of file SmoothedProfileMethod.cpp.

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

◆ ~SmoothedProfileMethod()

Nektar::SmoothedProfileMethod::~SmoothedProfileMethod ( )

overrideprotecteddefault

Member Function Documentation

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 51 of file SmoothedProfileMethod.h.

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

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

◆ GetFunctionHdl()

TiXmlElement * Nektar::SmoothedProfileMethod::GetFunctionHdl ( std::string functionName )

protected

Returns a handle to the requested function. Returns NULL if it does not exist.

Parameters

functionName

Returns: TiXmlElement*

Definition at line 551 of file SmoothedProfileMethod.cpp.

{
    // Get the handler of first function block
    TiXmlElement *conds    = m_session->GetElement("Nektar/Conditions");
    TiXmlElement *function = conds->FirstChildElement("FUNCTION");
 
    // Loop over functions until the block 'name' is found
    std::string functionType = function->Attribute("NAME");
    while (function && !boost::iequals(functionType, functionName))
    {
        function     = function->NextSiblingElement("FUNCTION");
        functionType = function->Attribute("NAME");
    }
 
    return function;
}

References Nektar::SolverUtils::EquationSystem::m_session.

Referenced by GetVarTimeDependence(), and ReadPhi().

◆ GetVarTimeDependence()

bool Nektar::SmoothedProfileMethod::GetVarTimeDependence	(	std::string	funcName,
		std::string	elemName
	)

protected

True if the function is timedependent, false otherwise.

Parameters

name
type
attribute

Returns: string

Definition at line 511 of file SmoothedProfileMethod.cpp.

{
    // Get the handler of the function
    TiXmlElement *function = GetFunctionHdl(funcName);
 
    // Go to the first element
    TiXmlElement *functionDef = function->FirstChildElement();
    ASSERTL0(functionDef, "At least one element must be defined in " + funcName)
 
    // And search the element with name 'elemName'
    std::string varName = functionDef->Attribute("VAR");
    while (functionDef && !boost::iequals(varName, elemName))
    {
        functionDef = functionDef->NextSiblingElement();
        varName     = functionDef->Attribute("VAR");
    }
 
    ASSERTL0(functionDef,
             "Variable " + elemName + " must be defined in " + funcName + ".");
 
    // And return the value of USERDEFINEDTYPE
    std::string attr;
    int err     = functionDef->QueryStringAttribute("USERDEFINEDTYPE", &attr);
    bool output = boost::iequals(attr, "TimeDependent");
 
    ASSERTL0((err == TIXML_NO_ATTRIBUTE) || (err == TIXML_SUCCESS && output),
             "USERDEFINEDTYPE in " + elemName +
                 " must be TimeDependent if defined");
 
    return output;
}

References ASSERTL0, and GetFunctionHdl().

Referenced by ReadPhi().

◆ ReadPhi()

void Nektar::SmoothedProfileMethod::ReadPhi ( )

protected

Definition at line 568 of file SmoothedProfileMethod.cpp.

{
    // Function evaluator for Phi and Up
    m_phiEvaluator = GetFunction("ShapeFunction");
 
    TiXmlElement *function = GetFunctionHdl("ShapeFunction");
    TiXmlElement *child    = function->FirstChildElement();
    m_filePhi              = false;
 
    // If defined by using a file
    if (boost::iequals(child->ValueStr(), "F"))
    {
        // Get name of STL file
        std::string fileName;
        int status = child->QueryStringAttribute("FILE", &fileName);
        ASSERTL0(status == TIXML_SUCCESS,
                 "An FLD file with the values "
                 "of the phi function has to be supplied.")
        ASSERTL0(boost::iequals(fileName.substr(fileName.length() - 4), ".fld"),
                 "A valid FLD file must be supplied in the "
                 "'ShapeFunction' field.")
 
        // Get phi values from XML file (after "FieldConvert" the STL file)
        // First, load the data
        std::vector<LibUtilities::FieldDefinitionsSharedPtr> fieldDef;
        std::vector<std::vector<NekDouble>> fieldData;
        LibUtilities::FieldMetaDataMap fieldMetaData;
        LibUtilities::FieldIOSharedPtr phiFile =
            LibUtilities::FieldIO::CreateForFile(m_session, fileName);
        phiFile->Import(fileName, fieldDef, fieldData, fieldMetaData);
 
        // Only Phi field should be defined in the file
        ASSERTL0(fieldData.size() == 1, "Only one field (phi) must be "
                                        "defined in the FLD file.")
 
        // Extract Phi field to output
        std::string tmp("phi");
        m_phi->ExtractDataToCoeffs(fieldDef[0], fieldData[0], tmp,
                                   m_phi->UpdateCoeffs());
        m_phi->BwdTrans(m_phi->GetCoeffs(), m_phi->UpdatePhys());
        m_filePhi          = true;
        m_timeDependentPhi = false;
        m_timeDependentUp  = false;
    }
    else
    {
        // Check if Phi is timedependent
        m_timeDependentPhi = GetVarTimeDependence("ShapeFunction", "Phi");
 
        // If so, check if its velocity changes as well
        m_timeDependentUp = GetVarTimeDependence("ShapeFunction", "Up");
        switch (m_velocity.size())
        {
            case 2:
                m_timeDependentUp |=
                    GetVarTimeDependence("ShapeFunction", "Vp");
                break;
            case 3:
                m_timeDependentUp |=
                    GetVarTimeDependence("ShapeFunction", "Vp");
                m_timeDependentUp |=
                    GetVarTimeDependence("ShapeFunction", "Wp");
                break;
        }
    }
}

References ASSERTL0, Nektar::LibUtilities::FieldIO::CreateForFile(), Nektar::SolverUtils::EquationSystem::GetFunction(), GetFunctionHdl(), GetVarTimeDependence(), m_filePhi, m_phi, m_phiEvaluator, Nektar::SolverUtils::EquationSystem::m_session, m_timeDependentPhi, m_timeDependentUp, and Nektar::IncNavierStokes::m_velocity.

Referenced by v_InitObject().

◆ SetCorrectionPressureBCs()

void Nektar::SmoothedProfileMethod::SetCorrectionPressureBCs ( )

protected

Updates the BCs for boundaries with Neumann or periodic BCs in the pressure:

\[ \frac{\partial p_p}{\partial\mathbf{n}} = \mathbf{f_s}\cdot\mathbf{n} \]

Definition at line 383 of file SmoothedProfileMethod.cpp.

{
    size_t nvel = m_velocity.size();
    Array<OneD, ExpListSharedPtr> BndExp;
    Array<OneD, SpatialDomains::BoundaryConditionShPtr> BndCond;
 
    // Get the BC expansions
    BndExp  = m_pressureP->GetBndCondExpansions();
    BndCond = m_pressureP->GetBndConditions();
 
    // For each boundary...
    for (size_t b = 0; b < BndExp.size(); ++b)
    {
        // Only for BCs based on the derivative
        if (BndCond[b]->GetBoundaryConditionType() ==
                SpatialDomains::eNeumann ||
            BndCond[b]->GetBoundaryConditionType() == SpatialDomains::ePeriodic)
        {
            // Calculate f_s values
            Array<OneD, Array<OneD, NekDouble>> f_s(nvel);
            for (size_t i = 0; i < nvel; ++i)
            {
                f_s[i] = m_fs[0]->GetBndCondExpansions()[b]->GetPhys();
            }
 
            // BC is f_s * n
            BndExp[b]->NormVectorIProductWRTBase(f_s, BndExp[b]->UpdatePhys());
        }
    }
}

References Nektar::SpatialDomains::eNeumann, Nektar::SpatialDomains::ePeriodic, m_fs, m_pressureP, and Nektar::IncNavierStokes::m_velocity.

Referenced by SetUpCorrectionPressure().

◆ SetUpCorrectionPressure()

void Nektar::SmoothedProfileMethod::SetUpCorrectionPressure	(	const Array< OneD, const Array< OneD, NekDouble > > &	fields,
		Array< OneD, Array< OneD, NekDouble > > &	Forcing
	)

protected

Sets the forcing term of the equation for the correction pressure \(p_p\):

\[ \nabla\cdot\mathbf{f_s} \]

Parameters

fields
Forcing

Definition at line 280 of file SmoothedProfileMethod.cpp.

{
    size_t physTot = m_fs[0]->GetNpoints();
    size_t nvel    = m_velocity.size();
 
    // Set boundary conditions
    SetCorrectionPressureBCs();
 
    // Divergence of 'fs'
    m_fields[m_velocity[0]]->PhysDeriv(eX, m_fs[0]->GetPhys(), Forcing[0]);
 
    // Using 'Forcing[1]' as storage
    for (size_t i = 1; i < nvel; ++i)
    {
        size_t ind = m_velocity[i];
        m_fields[ind]->PhysDeriv(DirCartesianMap[i], m_fs[i]->GetPhys(),
                                 Forcing[1]);
        Vmath::Vadd(physTot, Forcing[1], 1, Forcing[0], 1, Forcing[0], 1);
    }
}

References Nektar::MultiRegions::DirCartesianMap, Nektar::MultiRegions::eX, Nektar::SolverUtils::EquationSystem::m_fields, m_fs, Nektar::IncNavierStokes::m_velocity, SetCorrectionPressureBCs(), and Vmath::Vadd().

Referenced by v_SolveUnsteadyStokesSystem().

◆ SetUpExpansions()

template<typename T >

void Nektar::SmoothedProfileMethod::SetUpExpansions ( int nvel )

inlineprotected

Initialises the expansions for the intermediate pressure, the 'Phi' function and the IB forcing.

Definition at line 133 of file SmoothedProfileMethod.h.

    {
        int iVel    = m_velocity[0];
        m_pressureP = MemoryManager<T>::AllocateSharedPtr(
            *std::dynamic_pointer_cast<T>(m_pressure));
        m_phi = MemoryManager<T>::AllocateSharedPtr(
            *std::dynamic_pointer_cast<T>(m_fields[iVel]));
 
        m_fs = Array<OneD, MultiRegions::ExpListSharedPtr>(nvel);
        for (int i = 0; i < nvel; ++i)
        {
            m_fs[i] = MemoryManager<T>::AllocateSharedPtr(
                *std::dynamic_pointer_cast<T>(m_fields[iVel]));
        }
 
        // Set to wave space if homogeneous case
        if (m_HomogeneousType != EquationSystem::eNotHomogeneous)
        {
            m_pressureP->SetWaveSpace(true);
            m_phi->SetWaveSpace(true);
            for (int i = 0; i < nvel; ++i)
            {
                m_fs[i]->SetWaveSpace(true);
            }
        }
    }

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::SolverUtils::EquationSystem::eNotHomogeneous, Nektar::SolverUtils::EquationSystem::m_fields, m_fs, Nektar::SolverUtils::EquationSystem::m_HomogeneousType, m_phi, Nektar::IncNavierStokes::m_pressure, m_pressureP, and Nektar::IncNavierStokes::m_velocity.

◆ SolveCorrectedVelocity()

void Nektar::SmoothedProfileMethod::SolveCorrectedVelocity	(	Array< OneD, Array< OneD, NekDouble > > &	Forcing,
		Array< OneD, Array< OneD, NekDouble > > &	fields,
		NekDouble	dt
	)

protected

Corrects the velocity field so that the IBs are taken into account. Solves the explicit equation:

\[ \frac{\gamma_0(\mathbf{u_p}^{n+1} - \mathbf{u}^*)}{\Delta t} = \mathbf{f_s} - \nabla p_p \]

Parameters

Forcing
fields
dt

Definition at line 336 of file SmoothedProfileMethod.cpp.

{
    size_t physTot = m_phi->GetNpoints();
 
    // Gradient of p_p
    size_t nvel = m_velocity.size();
    if (nvel == 2)
    {
        m_pressureP->PhysDeriv(m_pressureP->GetPhys(), Forcing[0], Forcing[1]);
    }
    else
    {
        m_pressureP->PhysDeriv(m_pressureP->GetPhys(), Forcing[0], Forcing[1],
                               Forcing[2]);
    }
 
    // Velocity correction
    for (size_t i = 0; i < nvel; ++i)
    {
        // Adding -(1-m_phi)*grad(p_p) instead of -grad(p_p) reduces the
        // flux through the walls, but the flow is not incompressible
        if (m_session->DefinesSolverInfo("ForceBoundary") &&
            boost::iequals(m_session->GetSolverInfo("ForceBoundary"), "True"))
        {
            Vmath::Vvtvm(physTot, m_phi->GetPhys(), 1, Forcing[i], 1,
                         Forcing[i], 1, Forcing[i], 1);
            Vmath::Vadd(physTot, m_fs[i]->GetPhys(), 1, Forcing[i], 1,
                        Forcing[i], 1);
        }
        else
        {
            Vmath::Vsub(physTot, m_fs[i]->GetPhys(), 1, Forcing[i], 1,
                        Forcing[i], 1);
        }
        Blas::Daxpy(physTot, dt / m_gamma0, Forcing[i], 1, fields[i], 1);
    }
}

References Blas::Daxpy(), m_fs, m_gamma0, m_phi, m_pressureP, Nektar::SolverUtils::EquationSystem::m_session, Nektar::IncNavierStokes::m_velocity, Vmath::Vadd(), Vmath::Vsub(), and Vmath::Vvtvm().

Referenced by v_SolveUnsteadyStokesSystem().

◆ SolveCorrectionPressure()

void Nektar::SmoothedProfileMethod::SolveCorrectionPressure ( const Array< OneD, NekDouble > & Forcing )

protected

Solves the Poisson equation for the correction pressure \(p_p\):

\[ \nabla^2 p_p = \nabla\cdot\mathbf{f_s} \]

Parameters

Forcing

Definition at line 311 of file SmoothedProfileMethod.cpp.

{
    StdRegions::ConstFactorMap factors;
    // Factor 'lambda=0' in Helmholtz equation to get the Poisson form
    factors[StdRegions::eFactorLambda] = 0.0;
 
    // Solve the Poisson equation
    m_pressureP->HelmSolve(Forcing, m_pressureP->UpdateCoeffs(), factors);
 
    // Update node values from coefficients
    m_pressureP->BwdTrans(m_pressureP->GetCoeffs(), m_pressureP->UpdatePhys());
}

References Nektar::StdRegions::eFactorLambda, and m_pressureP.

Referenced by v_SolveUnsteadyStokesSystem().

◆ UpdateForcing()

void Nektar::SmoothedProfileMethod::UpdateForcing	(	const Array< OneD, const Array< OneD, NekDouble > > &	fields,
		NekDouble	dt
	)

protected

For a body with a velocity \(\mathbf{u_p}\), the force \(\mathbf{f_s}\) applied to the fluid ensures that the IBC are met:

\[ \mathbf{f_s} = \frac{\Phi^{n+1}\left(\mathbf{u_p}^{n+1} - \mathbf{u^*}\right)}{\Delta t} \]

Parameters

fields
dt
f_s

Definition at line 463 of file SmoothedProfileMethod.cpp.

{
    size_t nvel = m_velocity.size();
    size_t nq   = m_phi->GetNpoints();
 
    for (size_t i = 0; i < nvel; ++i)
    {
        // In homogeneous cases, switch out of wave space
        Array<OneD, NekDouble> tmpField(nq);
        size_t ind = m_velocity[i];
 
        if (m_HomogeneousType != EquationSystem::eNotHomogeneous &&
            m_fields[ind]->GetWaveSpace())
        {
            m_fields[ind]->HomogeneousBwdTrans(nq, fields[i], tmpField);
            m_fs[i]->HomogeneousBwdTrans(nq, m_fs[i]->GetPhys(),
                                         m_fs[i]->UpdatePhys());
        }
        else
        {
            tmpField = fields[i];
        }
 
        Vmath::Vsub(nq, m_up[i], 1, tmpField, 1, m_fs[i]->UpdatePhys(), 1);
        Vmath::Vmul(nq, m_phi->GetPhys(), 1, m_fs[i]->GetPhys(), 1,
                    m_fs[i]->UpdatePhys(), 1);
        Vmath::Smul(nq, m_gamma0 / dt, m_fs[i]->GetPhys(), 1,
                    m_fs[i]->UpdatePhys(), 1);
 
        // And go back to wave space if the 'if' was executed
        if (m_HomogeneousType != EquationSystem::eNotHomogeneous &&
            m_fields[ind]->GetWaveSpace())
        {
            m_fs[i]->HomogeneousFwdTrans(nq, m_fs[i]->GetPhys(),
                                         m_fs[i]->UpdatePhys());
        }
    }
}

References Nektar::SolverUtils::EquationSystem::eNotHomogeneous, Nektar::SolverUtils::EquationSystem::m_fields, m_fs, m_gamma0, Nektar::SolverUtils::EquationSystem::m_HomogeneousType, m_phi, m_up, Nektar::IncNavierStokes::m_velocity, Vmath::Smul(), Vmath::Vmul(), and Vmath::Vsub().

Referenced by v_SolveUnsteadyStokesSystem().

◆ UpdatePhiUp()

void Nektar::SmoothedProfileMethod::UpdatePhiUp ( NekDouble t )

protected

Calculates the values of the shape function.

Parameters

t

Definition at line 419 of file SmoothedProfileMethod.cpp.

{
    // Initialise 'm_up' and 'm_phi' during first step
    if (t <= 0.0)
    {
        if (!m_filePhi)
        {
            // Update 'm_phi' only if it was provided as a function
            m_phiEvaluator->Evaluate("Phi", m_phi->UpdatePhys(), t);
        }
 
        // Initialize both variables for the first step
        m_phiEvaluator->Evaluate(m_velName, m_up, t);
 
        // Initialise 'm_upPrev' in all cases
        m_upPrev = m_up;
    }
    // If timedependent 'm_phi'
    // Phi functions from files are not timedependent
    else if (m_timeDependentPhi)
    {
        m_phiEvaluator->Evaluate("Phi", m_phi->UpdatePhys(), t);
 
        // And if velocities are timedependent as well
        if (m_timeDependentUp)
        {
            // Store previous value of u_p during simulation
            m_upPrev = m_up;
            m_phiEvaluator->Evaluate(m_velName, m_up, t);
        }
    }
}

References m_filePhi, m_phi, m_phiEvaluator, m_timeDependentPhi, m_timeDependentUp, m_up, m_upPrev, and m_velName.

Referenced by v_InitObject(), and v_SolveUnsteadyStokesSystem().

◆ v_GenerateSummary()

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

overrideprotectedvirtual

Generates the summary of the current simulation.

Parameters

s

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 212 of file SmoothedProfileMethod.cpp.

{
    VelocityCorrectionScheme::v_GenerateSummary(s);
    SolverUtils::AddSummaryItem(s, "IB formulation",
                                "Smoothed Profile Method (SPM)");
}

References Nektar::SolverUtils::AddSummaryItem(), and Nektar::VelocityCorrectionScheme::v_GenerateSummary().

◆ v_InitObject()

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

overrideprotectedvirtual

Initialisation object for EquationSystem.

Continuous field

Setting up the normals

Reimplemented from Nektar::IncNavierStokes.

Definition at line 69 of file SmoothedProfileMethod.cpp.

{
    VelocityCorrectionScheme::v_InitObject(DeclareField);
 
    // Update implicit time-intregration class operators
    m_ode.DefineImplicitSolve(
        &SmoothedProfileMethod::v_SolveUnsteadyStokesSystem, this);
 
    // Number of dims as number of velocity vectors
    size_t nvel = m_velocity.size();
 
    // Initialization of correction pressure and shape function
    switch (nvel)
    {
        case 1:
            if (m_projectionType == eGalerkin)
            {
                SetUpExpansions<ContField>(nvel);
            }
            else if (m_projectionType == eDiscontinuous)
            {
                SetUpExpansions<DisContField>(nvel);
            }
            break;
 
        case 2:
            if (m_projectionType == eGalerkin)
            {
                SetUpExpansions<ContField>(nvel);
            }
            else if (m_projectionType == eDiscontinuous)
            {
                SetUpExpansions<DisContField>(nvel);
            }
            break;
 
        case 3:
            if (m_projectionType == eGalerkin)
            {
                if (m_HomogeneousType == EquationSystem::eNotHomogeneous)
                {
                    SetUpExpansions<ContField>(nvel);
                }
                else if (m_HomogeneousType == EquationSystem::eHomogeneous1D)
                {
                    SetUpExpansions<ContField3DHomogeneous1D>(nvel);
                }
                else if (m_HomogeneousType == EquationSystem::eHomogeneous2D ||
                         m_HomogeneousType == EquationSystem::eHomogeneous3D)
                {
                    SetUpExpansions<ContField3DHomogeneous2D>(nvel);
                }
            }
            else if (m_projectionType == eDiscontinuous)
            {
                if (m_HomogeneousType == EquationSystem::eNotHomogeneous)
                {
                    SetUpExpansions<DisContField>(nvel);
                }
                else if (m_HomogeneousType == EquationSystem::eHomogeneous1D)
                {
                    SetUpExpansions<DisContField3DHomogeneous1D>(nvel);
                }
                else if (m_HomogeneousType == EquationSystem::eHomogeneous2D ||
                         m_HomogeneousType == EquationSystem::eHomogeneous3D)
                {
                    SetUpExpansions<DisContField3DHomogeneous2D>(nvel);
                }
            }
            break;
    }
 
    // Read 'm_phi' and its velocity
    ASSERTL0(m_session->DefinesFunction("ShapeFunction"),
             "ShapeFunction must be defined in the session file.")
    ReadPhi();
 
    // Allocate the vector 'm_up'
    size_t physTot = m_phi->GetTotPoints();
    m_velName.push_back("Up");
    if (nvel > 1)
    {
        m_velName.push_back("Vp");
    }
    if (nvel == 3)
    {
        m_velName.push_back("Wp");
    }
 
    m_up = Array<OneD, Array<OneD, NekDouble>>(nvel);
    for (size_t i = 0; i < nvel; ++i)
    {
        m_up[i] = Array<OneD, NekDouble>(physTot, 0.0);
    }
 
    // Make sure that m_phi and m_up are defined
    UpdatePhiUp(0.0);
 
    // Get the time integration scheme.
    LibUtilities::TimeIntScheme timeInt = m_session->GetTimeIntScheme();
 
    // Select 'm_gamma0' depending on IMEX order
    ASSERTL0(
        boost::iequals(timeInt.method, "IMEX") && 1 <= timeInt.order &&
            timeInt.order <= 4,
        "The TimeIntegrationMethod scheme must be IMEX with order '1' to '4'.")
 
    switch (timeInt.order)
    {
        case 1:
            m_gamma0 = 1.0;
            break;
 
        case 2:
            m_gamma0 = 3.0 / 2.0;
            break;
 
        case 3:
            m_gamma0 = 11.0 / 6.0;
            break;
 
        case 4:
            m_gamma0 = 25.0 / 12.0;
            break;
    }
 
    // Check if the aeroforces filter is active, negative if inactive
    m_forcesFilter = -1;
    for (size_t i = 0; i < m_session->GetFilters().size(); ++i)
    {
        if (boost::iequals(m_session->GetFilters()[i].name, "AeroForcesSPM"))
        {
            m_forcesFilter = i;
            break;
        }
    }
}

◆ v_SolveUnsteadyStokesSystem()

void Nektar::SmoothedProfileMethod::v_SolveUnsteadyStokesSystem	(	const Array< OneD, const Array< OneD, NekDouble > > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray,
		NekDouble	time,
		NekDouble	a_iixDt
	)

overrideprotectedvirtual

Linear terms due to pressure and visosity are calculated here. After solving the velocity filed without taking into account the immersed boundaries, a new correction is applied through the force \(f_s\):

\[ \mathbf{f_s} = \frac{\Phi^{n+1}(\mathbf{u_p}-\mathbf{u^*})} {\Delta t} \]

Parameters

inarray
outarray
time
a_iixDt

Reimplemented from Nektar::VelocityCorrectionScheme.

Definition at line 233 of file SmoothedProfileMethod.cpp.

{
    VelocityCorrectionScheme::v_SolveUnsteadyStokesSystem(inarray, outarray,
                                                          time, a_iixDt);
 
    size_t physTot = m_pressureP->GetNpoints();
 
    /* SPM correction of velocity */
    // Update 'm_phi' and 'm_up' if needed (evaluated at next time step)
    UpdatePhiUp(time + a_iixDt);
    // Update calculation of IB forcing 'm_fs'
    UpdateForcing(outarray, a_iixDt);
    // Estimate forces only if requested
    if (m_forcesFilter >= 0)
    {
        std::static_pointer_cast<FilterAeroForcesSPM>(
            m_filters[m_forcesFilter].second)
            ->CalculateForces(outarray, m_upPrev, m_phi, time, a_iixDt);
    }
    // Set BC conditions for pressure p_p
    SetUpCorrectionPressure(outarray, m_F);
    // Solve Poisson equation for pressure p_p
    SolveCorrectionPressure(m_F[0]);
    // Solve velocity in the next step with IB
    SolveCorrectedVelocity(m_F, outarray, a_iixDt);
 
    // Add pressures to get final value
    Vmath::Vadd(physTot, m_pressure->GetPhys(), 1, m_pressureP->GetPhys(), 1,
                m_pressure->UpdatePhys(), 1);
    m_pressure->FwdTrans(m_pressure->GetPhys(), m_pressure->UpdateCoeffs());
 
    // Add presure to outflow bc if using convective like BCs
    m_extrapolation->AddPressureToOutflowBCs(m_kinvis);
}

References Nektar::IncNavierStokes::m_extrapolation, Nektar::VelocityCorrectionScheme::m_F, Nektar::SolverUtils::UnsteadySystem::m_filters, m_forcesFilter, Nektar::IncNavierStokes::m_kinvis, m_phi, Nektar::IncNavierStokes::m_pressure, m_pressureP, m_upPrev, SetUpCorrectionPressure(), SolveCorrectedVelocity(), SolveCorrectionPressure(), UpdateForcing(), UpdatePhiUp(), Nektar::VelocityCorrectionScheme::v_SolveUnsteadyStokesSystem(), and Vmath::Vadd().

Referenced by v_InitObject().

Friends And Related Symbol Documentation

◆ MemoryManager< SmoothedProfileMethod >

friend class MemoryManager< SmoothedProfileMethod >

friend

Definition at line 163 of file SmoothedProfileMethod.h.

Member Data Documentation

◆ className

std::string Nektar::SmoothedProfileMethod::className

static

Initial value:

=
    SolverUtils::GetEquationSystemFactory().RegisterCreatorFunction(
        "SmoothedProfileMethod", SmoothedProfileMethod::create)

Name of class.

Definition at line 63 of file SmoothedProfileMethod.h.

◆ m_filePhi

bool Nektar::SmoothedProfileMethod::m_filePhi

protected

Flag indicating that phi was defined in a file.

Definition at line 86 of file SmoothedProfileMethod.h.

Referenced by ReadPhi(), and UpdatePhiUp().

◆ m_forcesFilter

int Nektar::SmoothedProfileMethod::m_forcesFilter

protected

Position of "AeroForcesSPM" filter in 'm_session->GetFilters()'.

Definition at line 88 of file SmoothedProfileMethod.h.

Referenced by v_InitObject(), and v_SolveUnsteadyStokesSystem().

◆ m_fs

Array<OneD, MultiRegions::ExpListSharedPtr> Nektar::SmoothedProfileMethod::m_fs

protected

Forcing function 'f_s'.

Definition at line 78 of file SmoothedProfileMethod.h.

Referenced by SetCorrectionPressureBCs(), SetUpCorrectionPressure(), SetUpExpansions(), SolveCorrectedVelocity(), and UpdateForcing().

◆ m_gamma0

NekDouble Nektar::SmoothedProfileMethod::m_gamma0

protected

Stiffly-stable scheme \(\gamma_0\) coefficient.

Definition at line 76 of file SmoothedProfileMethod.h.

Referenced by SolveCorrectedVelocity(), UpdateForcing(), and v_InitObject().

◆ m_phi

MultiRegions::ExpListSharedPtr Nektar::SmoothedProfileMethod::m_phi

protected

Shape function 'phi' as expansion list.

Definition at line 80 of file SmoothedProfileMethod.h.

Referenced by ReadPhi(), SetUpExpansions(), SolveCorrectedVelocity(), UpdateForcing(), UpdatePhiUp(), v_InitObject(), and v_SolveUnsteadyStokesSystem().

◆ m_phiEvaluator

SolverUtils::SessionFunctionSharedPtr Nektar::SmoothedProfileMethod::m_phiEvaluator

protected

Function that evaluates the values of \Phi.

Definition at line 82 of file SmoothedProfileMethod.h.

Referenced by ReadPhi(), and UpdatePhiUp().

◆ m_pressureP

MultiRegions::ExpListSharedPtr Nektar::SmoothedProfileMethod::m_pressureP

protected

Correction pressure field for SPM.

Definition at line 67 of file SmoothedProfileMethod.h.

Referenced by SetCorrectionPressureBCs(), SetUpExpansions(), SolveCorrectedVelocity(), SolveCorrectionPressure(), and v_SolveUnsteadyStokesSystem().

◆ m_timeDependentPhi

bool Nektar::SmoothedProfileMethod::m_timeDependentPhi

protected

Flag that is true when phi depends on time.

Definition at line 84 of file SmoothedProfileMethod.h.

Referenced by ReadPhi(), and UpdatePhiUp().

◆ m_timeDependentUp

bool Nektar::SmoothedProfileMethod::m_timeDependentUp

protected

Flag signaling if \(\u_p\) depends on time.

Definition at line 74 of file SmoothedProfileMethod.h.

Referenced by ReadPhi(), and UpdatePhiUp().

◆ m_up

Array<OneD, Array<OneD, NekDouble> > Nektar::SmoothedProfileMethod::m_up

protected

Velocity of the immersed body(ies)

Definition at line 69 of file SmoothedProfileMethod.h.

Referenced by UpdateForcing(), UpdatePhiUp(), and v_InitObject().

◆ m_upPrev

Array<OneD, Array<OneD, NekDouble> > Nektar::SmoothedProfileMethod::m_upPrev

protected

Definition at line 70 of file SmoothedProfileMethod.h.

Referenced by UpdatePhiUp(), and v_SolveUnsteadyStokesSystem().

◆ m_velName

std::vector<std::string> Nektar::SmoothedProfileMethod::m_velName

protected

Vector storing the names of the components of \u_p.

Definition at line 72 of file SmoothedProfileMethod.h.

Referenced by UpdatePhiUp(), and v_InitObject().

◆ solverTypeLookupId

std::string Nektar::SmoothedProfileMethod::solverTypeLookupId

staticprotected

Initial value:

=
    LibUtilities::SessionReader::RegisterEnumValue(
        "SolverType", "SmoothedProfileMethod", eSmoothedProfileMethod)

Definition at line 90 of file SmoothedProfileMethod.h.

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Static Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SmoothedProfileMethod()

◆ ~SmoothedProfileMethod()

Member Function Documentation

◆ create()

◆ GetFunctionHdl()

◆ GetVarTimeDependence()

◆ ReadPhi()

◆ SetCorrectionPressureBCs()

◆ SetUpCorrectionPressure()

◆ SetUpExpansions()

◆ SolveCorrectedVelocity()

◆ SolveCorrectionPressure()

◆ UpdateForcing()

◆ UpdatePhiUp()

◆ v_GenerateSummary()

◆ v_InitObject()

◆ v_SolveUnsteadyStokesSystem()

Friends And Related Symbol Documentation

◆ MemoryManager< SmoothedProfileMethod >

Member Data Documentation

◆ className

◆ m_filePhi

◆ m_forcesFilter

◆ m_fs

◆ m_gamma0

◆ m_phi

◆ m_phiEvaluator

◆ m_pressureP

◆ m_timeDependentPhi

◆ m_timeDependentUp

◆ m_up

◆ m_upPrev

◆ m_velName

◆ solverTypeLookupId