Nektar::NavierStokesImplicitCFE Class Reference

#include <NavierStokesImplicitCFE.h>

Inheritance diagram for Nektar::NavierStokesImplicitCFE:

Public Types
typedef std::function< void(const Array< OneD, NekDouble > &, const NekDouble &, const Array< OneD, NekDouble > &, DNekMatSharedPtr &)>	GetdFlux_dDeriv

Public Member Functions
virtual	~NavierStokesImplicitCFE ()
Public Member Functions inherited from Nektar::NavierStokesCFE
virtual	~NavierStokesCFE ()
Public Member Functions inherited from Nektar::CompressibleFlowSystem
virtual	~CompressibleFlowSystem ()
	Destructor for CompressibleFlowSystem class. More...
NekDouble	GetStabilityLimit (int n)
	Function to calculate the stability limit for DG/CG. More...
Array< OneD, NekDouble >	GetStabilityLimitVector (const Array< OneD, int > &ExpOrder)
	Function to calculate the stability limit for DG/CG (a vector of them). More...
Array< OneD, NekDouble >	GetElmtMinHP (void)
	Function to get estimate of min h/p factor per element. More...
virtual void	GetPressure (const Array< OneD, const Array< OneD, NekDouble >> &physfield, Array< OneD, NekDouble > &pressure)
virtual void	GetDensity (const Array< OneD, const Array< OneD, NekDouble >> &physfield, Array< OneD, NekDouble > &density)
virtual bool	HasConstantDensity ()
virtual void	GetVelocity (const Array< OneD, const Array< OneD, NekDouble >> &physfield, Array< OneD, Array< OneD, NekDouble >> &velocity)
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 (const bool FlagAcousticCFL=true)
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...
SOLVER_UTILS_EXPORT void	SteadyStateResidual (int step, Array< OneD, NekDouble > &L2)
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...
Public Member Functions inherited from Nektar::SolverUtils::FluidInterface
virtual	~FluidInterface ()=default
virtual SOLVER_UTILS_EXPORT void	GetVelocity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &velocity)=0
	Extract array with velocity from physfield. More...
virtual SOLVER_UTILS_EXPORT void	GetDensity (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &density)=0
	Extract array with density from physfield. More...
virtual SOLVER_UTILS_EXPORT void	GetPressure (const Array< OneD, const Array< OneD, NekDouble > > &physfield, Array< OneD, NekDouble > &pressure)=0
	Extract array with pressure from physfield. More...
Public Member Functions inherited from Nektar::CFSImplicit
	CFSImplicit (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
virtual	~CFSImplicit ()
	Destructor for CFSImplicit class. More...
void	InitialiseNonlinSysSolver ()
void	NonlinSysEvaluatorCoeff1D (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out, const bool &flag)
void	NonlinSysEvaluatorCoeff (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out, const bool &flag=true, const Array< OneD, const NekDouble > &source=NullNekDouble1DArray)
void	NonlinSysEvaluatorCoeff (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &out, const Array< OneD, const Array< OneD, NekDouble >> &source=NullNekDoubleArrayOfArray)
void	DoOdeRhsCoeff (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const NekDouble time)
	Compute the right-hand side. More...
void	DoAdvectionCoeff (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const NekDouble time, const Array< OneD, const Array< OneD, NekDouble >> &pFwd, const Array< OneD, const Array< OneD, NekDouble >> &pBwd)
	Compute the advection terms for the right-hand side. More...
void	DoImplicitSolve (const Array< OneD, const Array< OneD, NekDouble >> &inpnts, Array< OneD, Array< OneD, NekDouble >> &outpnt, const NekDouble time, const NekDouble lambda)
void	DoImplicitSolveCoeff (const Array< OneD, const Array< OneD, NekDouble >> &inpnts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out, const NekDouble time, const NekDouble lambda)
void	CalcRefValues (const Array< OneD, const NekDouble > &inarray)

Static Public Member Functions
static SolverUtils::EquationSystemSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
Static Public Member Functions inherited from Nektar::NavierStokesCFE
static SolverUtils::EquationSystemSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)

Static Public Attributes
static std::string	className
Static Public Attributes inherited from Nektar::NavierStokesCFE
static std::string	className

Protected Member Functions
	NavierStokesImplicitCFE (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
virtual void	v_InitObject ()
	Initialization object for CompressibleFlowSystem class. More...
virtual void	v_DoDiffusionCoeff (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const Array< OneD, const Array< OneD, NekDouble >> &pFwd, const Array< OneD, const Array< OneD, NekDouble >> &pBwd)
virtual void	v_MinusDiffusionFluxJacPoint (const int nConvectiveFields, const int nElmtPnt, const Array< OneD, const Array< OneD, NekDouble >> &locVars, const TensorOfArray3D< NekDouble > &locDerv, const Array< OneD, NekDouble > &locmu, const Array< OneD, NekDouble > &locDmuDT, const Array< OneD, NekDouble > &normals, DNekMatSharedPtr &wspMat, Array< OneD, Array< OneD, NekDouble >> &PntJacArray)
virtual void	v_GetFluxDerivJacDirctn (const MultiRegions::ExpListSharedPtr &explist, const Array< OneD, const Array< OneD, NekDouble >> &normals, const int nDervDir, const Array< OneD, const Array< OneD, NekDouble >> &inarray, TensorOfArray5D< NekDouble > &ElmtJacArray, const int nFluxDir)
virtual void	v_GetFluxDerivJacDirctnElmt (const int nConvectiveFields, const int nElmtPnt, const int nDervDir, const Array< OneD, const Array< OneD, NekDouble >> &locVars, const Array< OneD, NekDouble > &locmu, const Array< OneD, const Array< OneD, NekDouble >> &locnormal, DNekMatSharedPtr &wspMat, Array< OneD, Array< OneD, NekDouble >> &PntJacArray)
virtual void	v_GetFluxDerivJacDirctn (const MultiRegions::ExpListSharedPtr &explist, const Array< OneD, const Array< OneD, NekDouble >> &normals, const int nDervDir, const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, DNekMatSharedPtr >> &ElmtJac)
virtual void	v_GetDiffusionFluxJacPoint (const Array< OneD, NekDouble > &conservVar, const Array< OneD, const Array< OneD, NekDouble >> &conseDeriv, const NekDouble mu, const NekDouble DmuDT, const Array< OneD, NekDouble > &normals, DNekMatSharedPtr &fluxJac)
virtual void	v_CalcPhysDeriv (const Array< OneD, const Array< OneD, NekDouble >> &inarray, TensorOfArray3D< NekDouble > &qfield)
virtual void	v_CalcMuDmuDT (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, NekDouble > &mu, Array< OneD, NekDouble > &DmuDT)
void	GetdFlux_dQx_2D (const Array< OneD, NekDouble > &normals, const NekDouble &mu, const Array< OneD, NekDouble > &U, DNekMatSharedPtr &OutputMatrix)
	return part of viscous Jacobian: More...
void	GetdFlux_dQy_2D (const Array< OneD, NekDouble > &normals, const NekDouble &mu, const Array< OneD, NekDouble > &U, DNekMatSharedPtr &OutputMatrix)
	return part of viscous Jacobian: More...
void	GetdFlux_dQx_3D (const Array< OneD, NekDouble > &normals, const NekDouble &mu, const Array< OneD, NekDouble > &U, DNekMatSharedPtr &OutputMatrix)
	return part of viscous Jacobian derived with Qx=[drho_dx,drhou_dx,drhov_dx,drhow_dx,drhoE_dx] Input: normals:Point normals U=[rho,rhou,rhov,rhow,rhoE] dir: means whether derive with Qx=[drho_dx,drhou_dx,drhov_dx,drhow_dx,drhoE_dx] Output: 3D 4*5 Matrix (flux about rho is zero) OutputMatrix(dir=0)= dF_dQx; More...
void	GetdFlux_dQy_3D (const Array< OneD, NekDouble > &normals, const NekDouble &mu, const Array< OneD, NekDouble > &U, DNekMatSharedPtr &OutputMatrix)
	return part of viscous Jacobian derived with Qy=[drho_dy,drhou_dy,drhov_dy,drhow_dy,drhoE_dy] Input: normals:Point normals U=[rho,rhou,rhov,rhow,rhoE] dir: means whether derive with Qy=[drho_dy,drhou_dy,drhov_dy,drhow_dy,drhoE_dy] Output: 3D 4*5 Matrix (flux about rho is zero) OutputMatrix(dir=1)= dF_dQy; More...
void	GetdFlux_dQz_3D (const Array< OneD, NekDouble > &normals, const NekDouble &mu, const Array< OneD, NekDouble > &U, DNekMatSharedPtr &OutputMatrix)
	return part of viscous Jacobian derived with Qz=[drho_dz,drhou_dz,drhov_dz,drhow_dz,drhoE_dz] Input: normals:Point normals U=[rho,rhou,rhov,rhow,rhoE] dir: means whether derive with Qz=[drho_dz,drhou_dz,drhov_dz,drhow_dz,drhoE_dz] Output: 3D 4*5 Matrix (flux about rho is zero) OutputMatrix(dir=2)= dF_dQz; More...
void	GetdFlux_dU_2D (const Array< OneD, NekDouble > &normals, const NekDouble mu, const NekDouble dmu_dT, const Array< OneD, NekDouble > &U, const Array< OneD, const Array< OneD, NekDouble > > &qfield, DNekMatSharedPtr &OutputMatrix)
	return part of viscous Jacobian Input: normals:Point normals mu: dynamicviscosity dmu_dT: mu's derivative with T using Sutherland's law U=[rho,rhou,rhov,rhoE] Output: 3*4 Matrix (the flux about rho is zero) OutputMatrix dFLux_dU, the matrix sign is consistent with SIPG More...
void	GetdFlux_dU_3D (const Array< OneD, NekDouble > &normals, const NekDouble mu, const NekDouble dmu_dT, const Array< OneD, NekDouble > &U, const Array< OneD, const Array< OneD, NekDouble >> &qfield, DNekMatSharedPtr &OutputMatrix)
	return part of viscous Jacobian Input: normals:Point normals mu: dynamicviscosity dmu_dT: mu's derivative with T using Sutherland's law U=[rho,rhou,rhov,rhow,rhoE] Output: 4*5 Matrix (the flux about rho is zero) OutputMatrix dFLux_dU, the matrix sign is consistent with SIPG More...
Protected Member Functions inherited from Nektar::NavierStokesCFE
	NavierStokesCFE (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
void	GetViscousFluxVectorConservVar (const int nDim, const Array< OneD, Array< OneD, NekDouble > > &inarray, const TensorOfArray3D< NekDouble > &qfields, TensorOfArray3D< NekDouble > &outarray, Array< OneD, int > &nonZeroIndex=NullInt1DArray, const Array< OneD, Array< OneD, NekDouble >> &normal=NullNekDoubleArrayOfArray, const Array< OneD, NekDouble > &ArtifDiffFactor=NullNekDouble1DArray)
void	GetViscousSymmtrFluxConservVar (const int nSpaceDim, const Array< OneD, Array< OneD, NekDouble > > &inaverg, const Array< OneD, Array< OneD, NekDouble > > &inarray, TensorOfArray3D< NekDouble > &outarray, Array< OneD, int > &nonZeroIndex, const Array< OneD, Array< OneD, NekDouble > > &normals)
	Calculate and return the Symmetric flux in IP method. More...
void	SpecialBndTreat (Array< OneD, Array< OneD, NekDouble > > &consvar)
	For very special treatment. For general boundaries it does nothing But for WallViscous and WallAdiabatic, special treatment is needed because they get the same Bwd value, special treatment is needed for boundary treatment of diffusion flux Note: This special treatment could be removed by seperating WallViscous and WallAdiabatic into two different classes. More...
void	GetArtificialViscosity (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &muav)
	Calculate and return the ArtificialViscosity for shock-capturing. More...
void	CalcViscosity (const Array< OneD, const Array< OneD, NekDouble >> &inaverg, Array< OneD, NekDouble > &mu)
void	InitObject_Explicit ()
virtual void	v_ExtraFldOutput (std::vector< Array< OneD, NekDouble >> &fieldcoeffs, std::vector< std::string > &variables)
virtual void	v_DoDiffusion (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const Array< OneD, const Array< OneD, NekDouble >> &pFwd, const Array< OneD, const Array< OneD, NekDouble >> &pBwd)
virtual void	v_GetViscousFluxVector (const Array< OneD, const Array< OneD, NekDouble >> &physfield, TensorOfArray3D< NekDouble > &derivatives, TensorOfArray3D< NekDouble > &viscousTensor)
	Return the flux vector for the LDG diffusion problem. More...
virtual void	v_GetViscousFluxVectorDeAlias (const Array< OneD, const Array< OneD, NekDouble >> &physfield, TensorOfArray3D< NekDouble > &derivatives, TensorOfArray3D< NekDouble > &viscousTensor)
	Return the flux vector for the LDG diffusion problem. More...
void	GetPhysicalAV (const Array< OneD, const Array< OneD, NekDouble >> &physfield)
	Calculate the physical artificial viscosity. More...
void	Ducros (Array< OneD, NekDouble > &field)
	Applied Ducros (anti-vorticity) sensor. More...
void	C0Smooth (Array< OneD, NekDouble > &field)
	Make field C0. More...
virtual void	v_GetFluxPenalty (const Array< OneD, const Array< OneD, NekDouble >> &uFwd, const Array< OneD, const Array< OneD, NekDouble >> &uBwd, Array< OneD, Array< OneD, NekDouble >> &penaltyCoeff)
	Return the penalty vector for the LDGNS diffusion problem. More...
void	GetViscosityAndThermalCondFromTemp (const Array< OneD, NekDouble > &temperature, Array< OneD, NekDouble > &mu, Array< OneD, NekDouble > &thermalCond)
	Update viscosity todo: add artificial viscosity here. More...
template<class T , typename = typename std::enable_if < std::is_floating_point<T>::value || tinysimd::is_vector_floating_point<T>::value >::type>
void	GetViscosityAndThermalCondFromTempKernel (const T &temperature, T &mu, T &thermalCond)
template<class T , typename = typename std::enable_if < std::is_floating_point<T>::value || tinysimd::is_vector_floating_point<T>::value >::type>
void	GetViscosityFromTempKernel (const T &temperature, T &mu)
template<class T , typename = typename std::enable_if < std::is_floating_point<T>::value || tinysimd::is_vector_floating_point<T>::value >::type>
void	GetViscousFluxBilinearFormKernel (const unsigned short nDim, const unsigned short FluxDirection, const unsigned short DerivDirection, const T *inaverg, const T *injumpp, const T &mu, T *outarray)
	Calculate diffusion flux using the Jacobian form. More...
template<bool IS_TRACE>
void	GetViscousFluxVectorConservVar (const int nDim, const Array< OneD, Array< OneD, NekDouble > > &inarray, const TensorOfArray3D< NekDouble > &qfields, TensorOfArray3D< NekDouble > &outarray, Array< OneD, int > &nonZeroIndex, const Array< OneD, Array< OneD, NekDouble > > &normal, const Array< OneD, NekDouble > &ArtifDiffFactor)
	Return the flux vector for the IP diffusion problem, based on conservative variables. More...
Protected Member Functions inherited from Nektar::CompressibleFlowSystem
	CompressibleFlowSystem (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
void	InitialiseParameters ()
	Load CFS parameters from the session file. More...
void	InitAdvection ()
	Create advection and diffusion objects for CFS. More...
void	DoOdeRhs (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const NekDouble time)
	Compute the right-hand side. More...
void	DoOdeProjection (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const NekDouble time)
	Compute the projection and call the method for imposing the boundary conditions in case of discontinuous projection. More...
void	DoAdvection (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const NekDouble time, const Array< OneD, const Array< OneD, NekDouble >> &pFwd, const Array< OneD, const Array< OneD, NekDouble >> &pBwd)
	Compute the advection terms for the right-hand side. More...
void	DoDiffusion (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const Array< OneD, const Array< OneD, NekDouble >> &pFwd, const Array< OneD, const Array< OneD, NekDouble >> &pBwd)
	Add the diffusions terms to the right-hand side. More...
void	GetFluxVector (const Array< OneD, const Array< OneD, NekDouble >> &physfield, TensorOfArray3D< NekDouble > &flux)
	Return the flux vector for the compressible Euler equations. More...
void	GetFluxVectorDeAlias (const Array< OneD, const Array< OneD, NekDouble >> &physfield, TensorOfArray3D< NekDouble > &flux)
	Return the flux vector for the compressible Euler equations by using the de-aliasing technique. More...
void	SetBoundaryConditions (Array< OneD, Array< OneD, NekDouble >> &physarray, NekDouble time)
void	SetBoundaryConditionsBwdWeight ()
	Set up a weight on physical boundaries for boundary condition applications. More...
void	GetElmtTimeStep (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, NekDouble > &tstep)
	Calculate the maximum timestep on each element subject to CFL restrictions. More...
virtual NekDouble	v_GetTimeStep (const Array< OneD, const Array< OneD, NekDouble > > &inarray)
	Calculate the maximum timestep subject to CFL restrictions. More...
virtual void	v_SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0)
	Set up logic for residual calculation. More...
NekDouble	GetGamma ()
const Array< OneD, const Array< OneD, NekDouble > > &	GetVecLocs ()
const Array< OneD, const Array< OneD, NekDouble > > &	GetNormals ()
virtual void	v_ExtraFldOutput (std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables)
virtual Array< OneD, NekDouble >	v_GetMaxStdVelocity (const NekDouble SpeedSoundFactor)
	Compute the advection velocity in the standard space for each element of the expansion. More...
virtual void	v_SteadyStateResidual (int step, Array< OneD, NekDouble > &L2)
Protected Member Functions inherited from Nektar::SolverUtils::AdvectionSystem
virtual SOLVER_UTILS_EXPORT bool	v_PostIntegrate (int step)
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_GenerateSummary (SummaryList &s)
	Print a summary of time stepping parameters. 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_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)
Protected Member Functions inherited from Nektar::CFSImplicit
void	PreconCoeff (const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const bool &flag)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	AddMatNSBlkDiagVol (const Array< OneD, const Array< OneD, NekDouble >> &inarray, const Array< OneD, const TensorOfArray2D< NekDouble >> &qfield, Array< OneD, Array< OneD, TypeNekBlkMatSharedPtr >> &gmtxarray, TensorOfArray4D< DataType > &StdMatDataDBB, TensorOfArray5D< DataType > &StdMatDataDBDB)
template<typename DataType >
void	CalcVolJacStdMat (TensorOfArray4D< DataType > &StdMatDataDBB, TensorOfArray5D< DataType > &StdMatDataDBDB)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	AddMatNSBlkDiagBnd (const Array< OneD, const Array< OneD, NekDouble >> &inarray, TensorOfArray3D< NekDouble > &qfield, TensorOfArray2D< TypeNekBlkMatSharedPtr > &gmtxarray, Array< OneD, TypeNekBlkMatSharedPtr > &TraceJac, Array< OneD, TypeNekBlkMatSharedPtr > &TraceJacDeriv, Array< OneD, Array< OneD, DataType >> &TraceJacDerivSign, TensorOfArray5D< DataType > &TraceIPSymJacArray)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	ElmtVarInvMtrx (Array< OneD, Array< OneD, TypeNekBlkMatSharedPtr >> &gmtxarray, TypeNekBlkMatSharedPtr &gmtVar, const DataType &tmpDatatype)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	GetTraceJac (const Array< OneD, const Array< OneD, NekDouble >> &inarray, TensorOfArray3D< NekDouble > &qfield, Array< OneD, TypeNekBlkMatSharedPtr > &TraceJac, Array< OneD, TypeNekBlkMatSharedPtr > &TraceJacDeriv, Array< OneD, Array< OneD, DataType >> &TraceJacDerivSign, TensorOfArray5D< DataType > &TraceIPSymJacArray)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	NumCalcRiemFluxJac (const int nConvectiveFields, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, const Array< OneD, NekDouble >> &AdvVel, const Array< OneD, const Array< OneD, NekDouble >> &inarray, TensorOfArray3D< NekDouble > &qfield, const NekDouble &time, const Array< OneD, const Array< OneD, NekDouble >> &Fwd, const Array< OneD, const Array< OneD, NekDouble >> &Bwd, TypeNekBlkMatSharedPtr &FJac, TypeNekBlkMatSharedPtr &BJac, TensorOfArray5D< DataType > &TraceIPSymJacArray)
void	PointFluxJacobianPoint (const Array< OneD, NekDouble > &Fwd, const Array< OneD, NekDouble > &normals, DNekMatSharedPtr &FJac, const NekDouble efix, const NekDouble fsw)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	TranSamesizeBlkDiagMatIntoArray (const TypeNekBlkMatSharedPtr &BlkMat, TensorOfArray3D< DataType > &MatArray)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	TransTraceJacMatToArray (const Array< OneD, TypeNekBlkMatSharedPtr > &TraceJac, const Array< OneD, TypeNekBlkMatSharedPtr > &TraceJacDeriv, TensorOfArray4D< DataType > &TraceJacArray, TensorOfArray4D< DataType > &TraceJacDerivArray)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	Fill2DArrayOfBlkDiagonalMat (Array< OneD, Array< OneD, TypeNekBlkMatSharedPtr >> &gmtxarray, const DataType valu)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	Fill1DArrayOfBlkDiagonalMat (Array< OneD, TypeNekBlkMatSharedPtr > &gmtxarray, const DataType valu)
void	AllocateNekBlkMatDig (SNekBlkMatSharedPtr &mat, const Array< OneD, unsigned int > nrow, const Array< OneD, unsigned int > ncol)
void	CalcPreconMatBRJCoeff (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, SNekBlkMatSharedPtr >> &gmtxarray, SNekBlkMatSharedPtr &gmtVar, Array< OneD, SNekBlkMatSharedPtr > &TraceJac, Array< OneD, SNekBlkMatSharedPtr > &TraceJacDeriv, Array< OneD, Array< OneD, NekSingle >> &TraceJacDerivSign, TensorOfArray4D< NekSingle > &TraceJacArray, TensorOfArray4D< NekSingle > &TraceJacDerivArray, TensorOfArray5D< NekSingle > &TraceIPSymJacArray)
template<typename DataType , typename TypeNekBlkMatSharedPtr >
void	MultiplyElmtInvMassPlusSource (Array< OneD, Array< OneD, TypeNekBlkMatSharedPtr >> &gmtxarray, const NekDouble dtlamda, const DataType tmpDataType)
void	GetFluxVectorJacDirElmt (const int nConvectiveFields, const int nElmtPnt, const Array< OneD, const Array< OneD, NekDouble >> &locVars, const Array< OneD, NekDouble > &normals, DNekMatSharedPtr &wspMat, Array< OneD, Array< OneD, NekDouble >> &PntJacArray)
void	GetFluxVectorJacPoint (const int nConvectiveFields, const Array< OneD, NekDouble > &conservVar, const Array< OneD, NekDouble > &normals, DNekMatSharedPtr &fluxJac)
void	CalcTraceNumericalFlux (const int nConvectiveFields, const int nDim, const int nPts, const int nTracePts, const NekDouble PenaltyFactor2, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, const Array< OneD, NekDouble >> &AdvVel, const Array< OneD, const Array< OneD, NekDouble >> &inarray, const NekDouble time, TensorOfArray3D< NekDouble > &qfield, const Array< OneD, const Array< OneD, NekDouble >> &vFwd, const Array< OneD, const Array< OneD, NekDouble >> &vBwd, const Array< OneD, const TensorOfArray2D< NekDouble >> &qFwd, const Array< OneD, const TensorOfArray2D< NekDouble >> &qBwd, const Array< OneD, NekDouble > &MuVarTrace, Array< OneD, int > &nonZeroIndex, Array< OneD, Array< OneD, NekDouble >> &traceflux)
void	MinusDiffusionFluxJacPoint (const int nConvectiveFields, const int nElmtPnt, const Array< OneD, const Array< OneD, NekDouble >> &locVars, const TensorOfArray3D< NekDouble > &locDerv, const Array< OneD, NekDouble > &locmu, const Array< OneD, NekDouble > &locDmuDT, const Array< OneD, NekDouble > &normals, DNekMatSharedPtr &wspMat, Array< OneD, Array< OneD, NekDouble >> &PntJacArray)
void	GetFluxDerivJacDirctn (const MultiRegions::ExpListSharedPtr &explist, const Array< OneD, const Array< OneD, NekDouble >> &normals, const int nDervDir, const Array< OneD, const Array< OneD, NekDouble >> &inarray, TensorOfArray5D< NekDouble > &ElmtJacArray, const int nFluxDir)
void	GetFluxDerivJacDirctnElmt (const int nConvectiveFields, const int nElmtPnt, const int nDervDir, const Array< OneD, const Array< OneD, NekDouble >> &locVars, const Array< OneD, NekDouble > &locmu, const Array< OneD, const Array< OneD, NekDouble >> &locnormal, DNekMatSharedPtr &wspMat, Array< OneD, Array< OneD, NekDouble >> &PntJacArray)
void	GetFluxDerivJacDirctn (const MultiRegions::ExpListSharedPtr &explist, const Array< OneD, const Array< OneD, NekDouble >> &normals, const int nDervDir, const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, DNekMatSharedPtr >> &ElmtJac)
void	CalcPhysDeriv (const Array< OneD, const Array< OneD, NekDouble >> &inarray, TensorOfArray3D< NekDouble > &qfield)
void	DoDiffusionCoeff (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const Array< OneD, const Array< OneD, NekDouble >> &pFwd, const Array< OneD, const Array< OneD, NekDouble >> &pBwd)
	Add the diffusions terms to the right-hand side Similar to DoDiffusion() but with outarray in coefficient space. More...
void	MatrixMultiplyMatrixFreeCoeff (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out, const bool &flag=false)
void	CalcMuDmuDT (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, NekDouble > &mu, Array< OneD, NekDouble > &DmuDT)
virtual void	v_CalcMuDmuDT (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &mu, Array< OneD, NekDouble > &DmuDT)
virtual bool	UpdateTimeStepCheck ()

Protected Attributes
Array< OneD, GetdFlux_dDeriv >	m_GetdFlux_dDeriv_Array
Protected Attributes inherited from Nektar::NavierStokesCFE
std::string	m_ViscosityType
bool	m_is_mu_variable {false}
	flag to switch between constant viscosity and Sutherland an enum could be added for more options More...
bool	m_is_diffIP {false}
	flag to switch between IP and LDG an enum could be added for more options More...
NekDouble	m_Cp
NekDouble	m_Cv
NekDouble	m_Prandtl
NekDouble	m_mu0
std::string	m_physicalSensorType
std::string	m_smoothing
MultiRegions::ContFieldSharedPtr	m_C0ProjectExp
EquationOfStateSharedPtr	m_eos
	Equation of system for computing temperature. More...
NekDouble	m_Twall
NekDouble	m_muRef
NekDouble	m_thermalConductivityRef
Array< OneD, NekDouble >	m_mu
Array< OneD, NekDouble >	m_thermalConductivity
Protected Attributes inherited from Nektar::CompressibleFlowSystem
SolverUtils::DiffusionSharedPtr	m_diffusion
ArtificialDiffusionSharedPtr	m_artificialDiffusion
Array< OneD, Array< OneD, NekDouble > >	m_vecLocs
NekDouble	m_gamma
std::string	m_shockCaptureType
NekDouble	m_filterAlpha
NekDouble	m_filterExponent
NekDouble	m_filterCutoff
bool	m_useFiltering
bool	m_useLocalTimeStep
Array< OneD, NekDouble >	m_muav
Array< OneD, NekDouble >	m_muavTrace
VariableConverterSharedPtr	m_varConv
std::vector< CFSBndCondSharedPtr >	m_bndConds
NekDouble	m_bndEvaluateTime
std::vector< SolverUtils::ForcingSharedPtr >	m_forcing
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::TimeIntegrationSchemeSharedPtr	m_intScheme
	Wrapper to the time integration scheme. More...
LibUtilities::TimeIntegrationSchemeOperators	m_ode
	The time integration scheme operators to use. More...
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...
NekDouble	m_steadyStateRes = 1.0
NekDouble	m_steadyStateRes0 = 1.0
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...
NekDouble	m_TimeIntegLambda =0.0
	coefff of spacial derivatives(rhs or m_F in GLM) in calculating the residual of the whole equation(used in unsteady time integrations) More...
bool	m_flagImplicitItsStatistics
bool	m_flagImplicitSolver = false
Array< OneD, NekDouble >	m_magnitdEstimat
	estimate the magnitude of each conserved varibles More...
Array< OneD, NekDouble >	m_locTimeStep
	local time step(notice only for jfnk other see m_cflSafetyFactor) More...
NekDouble	m_inArrayNorm =-1.0
int	m_TotLinItePerStep =0
int	m_StagesPerStep =1
bool	m_flagUpdatePreconMat
int	m_maxLinItePerNewton
int	m_TotNewtonIts =0
int	m_TotLinIts =0
int	m_TotImpStages =0
bool	m_CalcPhysicalAV = true
	flag to update artificial viscosity More...
Protected Attributes inherited from Nektar::SolverUtils::EquationSystem
LibUtilities::CommSharedPtr	m_comm
	Communicator. More...
bool	m_verbose
bool	m_root
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_timestepMax = -1.0
	Time step size. More...
NekDouble	m_lambda
	Lambda constant in real system if one required. More...
NekDouble	m_checktime
	Time between checkpoints. More...
NekDouble	m_lastCheckTime
NekDouble	m_TimeIncrementFactor
int	m_nchk
	Number of checkpoints written so far. More...
int	m_steps
	Number of steps to take. More...
int	m_checksteps
	Number of steps between checkpoints. More...
int	m_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...
Protected Attributes inherited from Nektar::CFSImplicit
bool	m_viscousJacFlag
bool	m_advectionJacFlag
int	m_nPadding = 1
Array< OneD, Array< OneD, NekDouble > >	m_solutionPhys
NekDouble	m_jacobiFreeEps
NekDouble	m_newtonAbsoluteIteTol
TensorOfArray4D< NekSingle >	m_stdSMatDataDBB
TensorOfArray5D< NekSingle >	m_stdSMatDataDBDB
LibUtilities::NekNonlinSysSharedPtr	m_nonlinsol
PreconCfsOpSharedPtr	m_preconCfs

Friends
class	MemoryManager< NavierStokesImplicitCFE >

Additional Inherited Members
Public Attributes inherited from Nektar::SolverUtils::UnsteadySystem
NekDouble	m_cflSafetyFactor
	CFL safety factor (comprise between 0 to 1). More...
NekDouble	m_cflNonAcoustic
NekDouble	m_CFLGrowth
	CFL growth rate. More...
NekDouble	m_CFLEnd
	maximun cfl in cfl growth 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 50 of file NavierStokesImplicitCFE.h.

Member Typedef Documentation

GetdFlux_dDeriv

typedef std::function<void ( const Array<OneD, NekDouble> &, const NekDouble &, const Array<OneD, NekDouble> &, DNekMatSharedPtr &)> Nektar::NavierStokesImplicitCFE::GetdFlux_dDeriv

Definition at line 75 of file NavierStokesImplicitCFE.h.

Constructor & Destructor Documentation

~NavierStokesImplicitCFE()

Nektar::NavierStokesImplicitCFE::~NavierStokesImplicitCFE ( )

virtual

Definition at line 56 of file NavierStokesImplicitCFE.cpp.

    {
 
    }

NavierStokesImplicitCFE()

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

protected

Definition at line 46 of file NavierStokesImplicitCFE.cpp.

        : UnsteadySystem(pSession, pGraph),
          CompressibleFlowSystem(pSession, pGraph),
          NavierStokesCFE(pSession, pGraph),
          CFSImplicit(pSession, pGraph)
    {
    }

Member Function Documentation

create()

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

inlinestatic

Definition at line 57 of file NavierStokesImplicitCFE.h.

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

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

GetdFlux_dQx_2D()

void Nektar::NavierStokesImplicitCFE::GetdFlux_dQx_2D ( const Array< OneD, NekDouble > &  normals, const NekDouble &  mu, const Array< OneD, NekDouble > &  U, DNekMatSharedPtr &  OutputMatrix  )

protected

return part of viscous Jacobian:

Todo:

flux derived with Qx=[drho_dx,drhou_dx,drhov_dx,drhoE_dx] Input: normals:Point normals U=[rho,rhou,rhov,rhoE] Output: 2D 3*4 Matrix (flux with rho is zero)

Todo:

flux derived with Qx=[drho_dx,drhou_dx,drhov_dx,drhoE_dx] Input: normals:Point normals U=[rho,rhou,rhov,rhoE] Output: 2D 3*4 Matrix (flux with rho is zero)

Definition at line 225 of file NavierStokesImplicitCFE.cpp.

    {
        NekDouble nx=normals[0];
        NekDouble ny=normals[1];
        NekDouble rho=U[0];
        NekDouble orho=1.0/rho;
        NekDouble u=U[1]*orho;
        NekDouble v=U[2]*orho;
        NekDouble E=U[3]*orho;
        NekDouble q2=u*u+v*v;
        NekDouble gamma=m_gamma;
        //q_x=-kappa*dT_dx;
        NekDouble Pr=  m_Prandtl;
        NekDouble oPr=  1.0/Pr;
        //To notice, here is positive, which is consistent with
        //"SYMMETRIC INTERIOR PENALTY DG METHODS FOR THE COMPRESSIBLE 
        // NAVIER-STOKES EQUATIONS"
        //But opposite to "I Do like CFD"
        NekDouble tmp=mu*orho;
        NekDouble tmp2=gamma*oPr;
        NekDouble OneThird,TwoThird,FourThird;
        OneThird=1.0/3.0;
        TwoThird=2.0*OneThird;
        FourThird=4.0*OneThird;
 
        Array<OneD, NekDouble> tmpArray;
        tmpArray = OutputMatrix->GetPtr();
        int nrow = OutputMatrix->GetRows();
 
        tmpArray[0+0*nrow]=tmp*(-FourThird*u*nx-v*ny);
        tmpArray[0+1*nrow]=tmp*(FourThird*nx);
        tmpArray[0+2*nrow]=tmp*ny;
        tmpArray[0+3*nrow]=0.0;
        tmpArray[1+0*nrow]=tmp*(-v*nx+TwoThird*u*ny);
        tmpArray[1+1*nrow]=tmp*(-TwoThird*ny);
        tmpArray[1+2*nrow]=tmp*nx;
        tmpArray[1+3*nrow]=0.0;
        tmpArray[2+0*nrow]=(FourThird*u*u+v*v+tmp2*(E-q2))*nx+OneThird*u*v*ny;
        tmpArray[2+0*nrow]=-tmp*(*OutputMatrix)(2,0);
        tmpArray[2+1*nrow]=(FourThird-tmp2)*u*nx-TwoThird*v*ny;
        tmpArray[2+1*nrow]=tmp*(*OutputMatrix)(2,1);
        tmpArray[2+2*nrow]=(1-tmp2)*v*nx+u*ny;
        tmpArray[2+2*nrow]=tmp*(*OutputMatrix)(2,2);
        tmpArray[2+3*nrow]=tmp*tmp2*nx;
    }

References Nektar::CompressibleFlowSystem::m_gamma, and Nektar::NavierStokesCFE::m_Prandtl.

Referenced by v_InitObject().

GetdFlux_dQx_3D()

void Nektar::NavierStokesImplicitCFE::GetdFlux_dQx_3D ( const Array< OneD, NekDouble > &  normals, const NekDouble &  mu, const Array< OneD, NekDouble > &  U, DNekMatSharedPtr &  OutputMatrix  )

protected

return part of viscous Jacobian derived with Qx=[drho_dx,drhou_dx,drhov_dx,drhow_dx,drhoE_dx] Input: normals:Point normals U=[rho,rhou,rhov,rhow,rhoE] dir: means whether derive with Qx=[drho_dx,drhou_dx,drhov_dx,drhow_dx,drhoE_dx] Output: 3D 4*5 Matrix (flux about rho is zero) OutputMatrix(dir=0)= dF_dQx;

Definition at line 344 of file NavierStokesImplicitCFE.cpp.

    {
        NekDouble nx=normals[0];
        NekDouble ny=normals[1];
        NekDouble nz=normals[2];
        NekDouble rho=U[0];
        NekDouble orho=1.0/rho;
        NekDouble u=U[1]*orho;
        NekDouble v=U[2]*orho;
        NekDouble w=U[3]*orho;
        NekDouble E=U[4]*orho;
        NekDouble q2=u*u+v*v+w*w;
        NekDouble gamma=m_gamma;
        //q_x=-kappa*dT_dx;
        NekDouble Pr=  m_Prandtl;
        NekDouble oPr = 1.0/Pr;
        //To notice, here is positive, which is consistent with
        //"SYMMETRIC INTERIOR PENALTY DG METHODS FOR THE COMPRESSIBLE 
        // NAVIER-STOKES EQUATIONS"
        //But opposite to "I do like CFD"
        NekDouble tmp=mu*orho;
        NekDouble tmpx=tmp*nx;
        NekDouble tmpy=tmp*ny;
        NekDouble tmpz=tmp*nz;
        NekDouble tmp2=gamma*oPr;
        NekDouble OneThird,TwoThird,FourThird;
        OneThird=1.0/3.0;
        TwoThird=2.0*OneThird;
        FourThird=4.0*OneThird;
 
        Array<OneD, NekDouble> tmpArray;
        tmpArray = OutputMatrix->GetPtr();
        int nrow = OutputMatrix->GetRows();
 
        tmpArray[0+0*nrow]=tmpx*(-FourThird*u)+tmpy*(-v)+tmpz*(-w);
        tmpArray[0+1*nrow]=tmpx*FourThird;
        tmpArray[0+2*nrow]=tmpy;
        tmpArray[0+3*nrow]=tmpz;
        tmpArray[0+4*nrow]=0.0;
        tmpArray[1+0*nrow]=tmpx*(-v)+tmpy*(TwoThird*u);
        tmpArray[1+1*nrow]=tmpy*(-TwoThird);
        tmpArray[1+2*nrow]=tmpx;
        tmpArray[1+3*nrow]=0.0;
        tmpArray[1+4*nrow]=0.0;
        tmpArray[2+0*nrow]=tmpx*(-w)+tmpz*(TwoThird*u);
        tmpArray[2+1*nrow]=tmpz*(-TwoThird);
        tmpArray[2+2*nrow]=0.0;
        tmpArray[2+3*nrow]=tmpx;
        tmpArray[2+4*nrow]=0.0;
        tmpArray[3+0*nrow]=-tmpx*(FourThird*u*u+v*v+w*w+tmp2*(E-q2)) 
                            +tmpy*(-OneThird*u*v)+tmpz*(-OneThird*u*w);
        tmpArray[3+1*nrow]=tmpx*(FourThird-tmp2)*u+tmpy*(-TwoThird*v)
                            +tmpz*(-TwoThird*w);
        tmpArray[3+2*nrow]=tmpx*(1.0-tmp2)*v+tmpy*u;
        tmpArray[3+3*nrow]=tmpx*(1.0-tmp2)*w+tmpz*u;
        tmpArray[3+4*nrow]=tmpx*tmp2;
    }

References Nektar::CompressibleFlowSystem::m_gamma, and Nektar::NavierStokesCFE::m_Prandtl.

Referenced by v_InitObject().

GetdFlux_dQy_2D()

void Nektar::NavierStokesImplicitCFE::GetdFlux_dQy_2D ( const Array< OneD, NekDouble > &  normals, const NekDouble &  mu, const Array< OneD, NekDouble > &  U, DNekMatSharedPtr &  OutputMatrix  )

protected

return part of viscous Jacobian:

Todo:

flux derived with Qx=[drho_dy,drhou_dy,drhov_dy,drhoE_dy] Input: normals:Point normals U=[rho,rhou,rhov,rhoE] Output: 2D 3*4 Matrix (flux with rho is zero)

Todo:

flux derived with Qx=[drho_dy,drhou_dy,drhov_dy,drhoE_dy] Input: normals:Point normals U=[rho,rhou,rhov,rhoE] Output: 2D 3*4 Matrix (flux with rho is zero)

Definition at line 283 of file NavierStokesImplicitCFE.cpp.

    {
        NekDouble nx=normals[0];
        NekDouble ny=normals[1];
        NekDouble rho=U[0];
        NekDouble orho=1.0/rho;
        NekDouble u=U[1]*orho;
        NekDouble v=U[2]*orho;
        NekDouble E=U[3]*orho;
        NekDouble q2=u*u+v*v;
        NekDouble gamma=m_gamma;
        //q_x=-kappa*dT_dx;
        NekDouble Pr=  m_Prandtl;
        NekDouble oPr=  1.0/Pr;
        //To notice, here is positive, which is consistent with
        //"SYMMETRIC INTERIOR PENALTY DG METHODS FOR THE COMPRESSIBLE 
        // NAVIER-STOKES EQUATIONS"
        //But opposite to "I Do like CFD"
        NekDouble tmp=mu*orho;
        NekDouble tmp2=gamma*oPr;
        NekDouble OneThird,TwoThird,FourThird;
        OneThird=1.0/3.0;
        TwoThird=2.0*OneThird;
        FourThird=4.0*OneThird;
 
        Array<OneD, NekDouble> tmpArray;
        tmpArray = OutputMatrix->GetPtr();
        int nrow = OutputMatrix->GetRows();
           
        tmpArray[0+0*nrow]=tmp*(TwoThird*v*nx-u*ny);
        tmpArray[0+1*nrow]=tmp*ny;
        tmpArray[0+2*nrow]=tmp*(-TwoThird)*nx;
        tmpArray[0+3*nrow]=0.0;
        tmpArray[1+0*nrow]=tmp*(-u*nx-FourThird*v*ny);
        tmpArray[1+1*nrow]=tmp*nx;
        tmpArray[1+2*nrow]=tmp*(FourThird*ny);
        tmpArray[1+3*nrow]=0.0;
        tmpArray[2+0*nrow]=OneThird*u*v*nx+(FourThird*v*v+u*u+tmp2*(E-q2))*ny;
        tmpArray[2+0*nrow]=-tmp*(*OutputMatrix)(2,0);
        tmpArray[2+1*nrow]=(1-tmp2)*u*ny+v*nx;
        tmpArray[2+1*nrow]=tmp*(*OutputMatrix)(2,1);
        tmpArray[2+2*nrow]=(FourThird-tmp2)*v*ny-TwoThird*u*nx;
        tmpArray[2+2*nrow]=tmp*(*OutputMatrix)(2,2);
        tmpArray[2+3*nrow]=tmp*tmp2*ny;
    }

References Nektar::CompressibleFlowSystem::m_gamma, and Nektar::NavierStokesCFE::m_Prandtl.

Referenced by v_InitObject().

GetdFlux_dQy_3D()

void Nektar::NavierStokesImplicitCFE::GetdFlux_dQy_3D ( const Array< OneD, NekDouble > &  normals, const NekDouble &  mu, const Array< OneD, NekDouble > &  U, DNekMatSharedPtr &  OutputMatrix  )

protected

return part of viscous Jacobian derived with Qy=[drho_dy,drhou_dy,drhov_dy,drhow_dy,drhoE_dy] Input: normals:Point normals U=[rho,rhou,rhov,rhow,rhoE] dir: means whether derive with Qy=[drho_dy,drhou_dy,drhov_dy,drhow_dy,drhoE_dy] Output: 3D 4*5 Matrix (flux about rho is zero) OutputMatrix(dir=1)= dF_dQy;

Definition at line 417 of file NavierStokesImplicitCFE.cpp.

    {
        NekDouble nx=normals[0];
        NekDouble ny=normals[1];
        NekDouble nz=normals[2];
        NekDouble rho=U[0];
        NekDouble orho=1.0/rho;
        NekDouble u=U[1]*orho;
        NekDouble v=U[2]*orho;
        NekDouble w=U[3]*orho;
        NekDouble E=U[4]*orho;
        NekDouble q2=u*u+v*v+w*w;
        NekDouble gamma=m_gamma;
        //q_x=-kappa*dT_dx;
        NekDouble Pr=  m_Prandtl;
        NekDouble oPr = 1.0/Pr;
        //To notice, here is positive, which is consistent with
        //"SYMMETRIC INTERIOR PENALTY DG METHODS FOR THE COMPRESSIBLE 
        // NAVIER-STOKES EQUATIONS"
        //But opposite to "I do like CFD"
        NekDouble tmp=mu*orho;
        NekDouble tmpx=tmp*nx;
        NekDouble tmpy=tmp*ny;
        NekDouble tmpz=tmp*nz;
        NekDouble tmp2=gamma*oPr;
        NekDouble OneThird,TwoThird,FourThird;
        OneThird=1.0/3.0;
        TwoThird=2.0*OneThird;
        FourThird=4.0*OneThird;
 
        Array<OneD, NekDouble> tmpArray;
        tmpArray = OutputMatrix->GetPtr();
        int nrow = OutputMatrix->GetRows();
 
        tmpArray[0+0*nrow]=tmpx*(TwoThird*v)+tmpy*(-u);
        tmpArray[0+1*nrow]=tmpy;
        tmpArray[0+2*nrow]=tmpx*(-TwoThird);
        tmpArray[0+3*nrow]=0.0;
        tmpArray[0+4*nrow]=0.0;
        tmpArray[1+0*nrow]=tmpx*(-u)+tmpy*(-FourThird*v)+tmpz*(-w);
        tmpArray[1+1*nrow]=tmpx;
        tmpArray[1+2*nrow]=tmpy*FourThird;
        tmpArray[1+3*nrow]=tmpz;
        tmpArray[1+4*nrow]=0.0;
        tmpArray[2+0*nrow]=tmpy*(-w)+tmpz*(TwoThird*v);
        tmpArray[2+1*nrow]=0.0;
        tmpArray[2+2*nrow]=tmpz*(-TwoThird);
        tmpArray[2+3*nrow]=tmpy;
        tmpArray[2+4*nrow]=0.0;
        tmpArray[3+0*nrow]=tmpx*(-OneThird*u*v)-tmpy*(u*u+FourThird*v*v+w*w 
                            +tmp2*(E-q2))+tmpz*(-OneThird*v*w);
        tmpArray[3+1*nrow]=tmpx*v+tmpy*(1-tmp2)*u;
        tmpArray[3+2*nrow]=tmpx*(-TwoThird*u)+tmpy*(FourThird-tmp2)*v
                            +tmpz*(-TwoThird*w);
        tmpArray[3+3*nrow]=tmpy*(1-tmp2)*w+tmpz*v;
        tmpArray[3+4*nrow]=tmpy*tmp2;
    }

References Nektar::CompressibleFlowSystem::m_gamma, and Nektar::NavierStokesCFE::m_Prandtl.

Referenced by v_InitObject().

GetdFlux_dQz_3D()

void Nektar::NavierStokesImplicitCFE::GetdFlux_dQz_3D ( const Array< OneD, NekDouble > &  normals, const NekDouble &  mu, const Array< OneD, NekDouble > &  U, DNekMatSharedPtr &  OutputMatrix  )

protected

return part of viscous Jacobian derived with Qz=[drho_dz,drhou_dz,drhov_dz,drhow_dz,drhoE_dz] Input: normals:Point normals U=[rho,rhou,rhov,rhow,rhoE] dir: means whether derive with Qz=[drho_dz,drhou_dz,drhov_dz,drhow_dz,drhoE_dz] Output: 3D 4*5 Matrix (flux about rho is zero) OutputMatrix(dir=2)= dF_dQz;

Definition at line 490 of file NavierStokesImplicitCFE.cpp.

    {
        NekDouble nx=normals[0];
        NekDouble ny=normals[1];
        NekDouble nz=normals[2];
        NekDouble rho=U[0];
        NekDouble orho=1.0/rho;
        NekDouble u=U[1]*orho;
        NekDouble v=U[2]*orho;
        NekDouble w=U[3]*orho;
        NekDouble E=U[4]*orho;
        NekDouble q2=u*u+v*v+w*w;
        NekDouble gamma=m_gamma;
        //q_x=-kappa*dT_dx;
        NekDouble Pr=  m_Prandtl;
        NekDouble oPr = 1.0/Pr;
        //To notice, here is positive, which is consistent with
        //"SYMMETRIC INTERIOR PENALTY DG METHODS FOR THE COMPRESSIBLE 
        // NAVIER-STOKES EQUATIONS"
        //But opposite to "I do like CFD"
        NekDouble tmp=mu*orho;
        NekDouble tmpx=tmp*nx;
        NekDouble tmpy=tmp*ny;
        NekDouble tmpz=tmp*nz;
        NekDouble tmp2=gamma*oPr;
        NekDouble OneThird,TwoThird,FourThird;
        OneThird=1.0/3.0;
        TwoThird=2.0*OneThird;
        FourThird=4.0*OneThird;
 
        Array<OneD, NekDouble> tmpArray;
        tmpArray = OutputMatrix->GetPtr();
        int nrow = OutputMatrix->GetRows();
 
        tmpArray[0+0*nrow]=tmpx*(TwoThird*w)+tmpz*(-u);
        tmpArray[0+1*nrow]=tmpz;
        tmpArray[0+2*nrow]=0.0;
        tmpArray[0+3*nrow]=tmpx*(-TwoThird);
        tmpArray[0+4*nrow]=0.0;
        tmpArray[1+0*nrow]=tmpy*(TwoThird*w)+tmpz*(-v);
        tmpArray[1+1*nrow]=0.0;
        tmpArray[1+2*nrow]=tmpz;
        tmpArray[1+3*nrow]=tmpy*(-TwoThird);
        tmpArray[1+4*nrow]=0.0;
        tmpArray[2+0*nrow]=tmpx*(-u)+tmpy*(-v)+tmpz*(-FourThird*w);
        tmpArray[2+1*nrow]=tmpx;
        tmpArray[2+2*nrow]=tmpy;
        tmpArray[2+3*nrow]=tmpz*FourThird;
        tmpArray[2+4*nrow]=0.0;
        tmpArray[3+0*nrow]=tmpx*(-OneThird*u*w)+tmpy*(-OneThird*v*w)
                            -tmpz*(u*u+v*v+FourThird*w*w+tmp2*(E-q2));
        tmpArray[3+1*nrow]=tmpx*w+tmpz*(1-tmp2)*u;
        tmpArray[3+2*nrow]=tmpy*w+tmpz*(1-tmp2)*v;
        tmpArray[3+3*nrow]=tmpx*(-TwoThird*u)+tmpy*(-TwoThird*v)
                            +tmpz*(FourThird-tmp2)*w;
        tmpArray[3+4*nrow]=tmpz*tmp2;
    }

References Nektar::CompressibleFlowSystem::m_gamma, and Nektar::NavierStokesCFE::m_Prandtl.

Referenced by v_InitObject().

GetdFlux_dU_2D()

void Nektar::NavierStokesImplicitCFE::GetdFlux_dU_2D ( const Array< OneD, NekDouble > &  normals, const NekDouble  mu, const NekDouble  dmu_dT, const Array< OneD, NekDouble > &  U, const Array< OneD, const Array< OneD, NekDouble > > &  qfield, DNekMatSharedPtr &  OutputMatrix  )

protected

return part of viscous Jacobian Input: normals:Point normals mu: dynamicviscosity dmu_dT: mu's derivative with T using Sutherland's law U=[rho,rhou,rhov,rhoE] Output: 3*4 Matrix (the flux about rho is zero) OutputMatrix dFLux_dU, the matrix sign is consistent with SIPG

Definition at line 562 of file NavierStokesImplicitCFE.cpp.

    {
        Array<OneD, NekDouble> tmpArray;
        tmpArray = OutputMatrix->GetPtr();
        int nrow = OutputMatrix->GetRows();
 
        NekDouble nx=normals[0];
        NekDouble ny=normals[1];
        NekDouble U1=U[0];
        NekDouble U2=U[1];
        NekDouble U3=U[2];
        NekDouble U4=U[3];
        NekDouble dU1_dx=qfield[0][0];
        NekDouble dU2_dx=qfield[0][1];
        NekDouble dU3_dx=qfield[0][2];
        NekDouble dU4_dx=qfield[0][3];
        NekDouble dU1_dy=qfield[1][0];
        NekDouble dU2_dy=qfield[1][1];
        NekDouble dU3_dy=qfield[1][2];
        NekDouble dU4_dy=qfield[1][3];
        NekDouble gamma=m_gamma;
        NekDouble Cv=m_Cv;
        NekDouble Pr=  m_Prandtl;
        NekDouble oPr = 1.0/Pr;
 
        NekDouble orho1,orho2,orho3,orho4;
        NekDouble oCv=1./Cv;
        orho1=1.0/U1;
        orho2=orho1*orho1;
        orho3=orho1*orho2;
        orho4=orho2*orho2;
 
        //Assume Fn=mu*Sn
        //Sn=Sx*nx+Sy*ny
 
        NekDouble TwoThrid=2./3.;
        NekDouble FourThird=2.0*TwoThrid;
        NekDouble u=U2*orho1;
        NekDouble v=U3*orho1;
        NekDouble du_dx=orho1*(dU2_dx-u*dU1_dx);
        NekDouble dv_dx=orho1*(dU3_dx-v*dU1_dx);
        NekDouble du_dy=orho1*(dU2_dy-u*dU1_dy);
        NekDouble dv_dy=orho1*(dU3_dy-v*dU1_dy);
        NekDouble s12=FourThird*du_dx-TwoThrid*dv_dy;
        NekDouble s13=du_dy+dv_dx;
        NekDouble s22=s13;
        NekDouble s23=FourThird*dv_dy-TwoThrid*du_dx;
        NekDouble snx=s12*nx+s22*ny;
        NekDouble sny=s13*nx+s23*ny;
        NekDouble snv=snx*u+sny*v;
        NekDouble qx=-gamma*mu*oPr*(orho1*dU4_dx-U[3]*orho2*dU1_dx
                        -u*(orho1*dU2_dx-U[1]*orho2*dU1_dx)
                        -v*(orho1*dU3_dx-U[2]*orho2*dU1_dx));
        NekDouble qy=-gamma*mu*oPr*(orho1*dU4_dy-U[3]*orho2*dU1_dy
                        -u*(orho1*dU2_dy-U[1]*orho2*dU1_dy)
                        -v*(orho1*dU3_dy-U[2]*orho2*dU1_dy));
        NekDouble qn=qx*nx+qy*ny;
 
        //Term1 mu's derivative with U: dmu_dU*Sn
        Array<OneD,NekDouble> tmp(3,0.0);
        tmp[0]=snx;
        tmp[1]=sny;
        tmp[2]=snv-qn/mu;
        Array<OneD,NekDouble> dT_dU (4,0.0);
        dT_dU[0]=oCv*(-orho2*U4+orho3*U2*U2+orho3*U3*U3);
        dT_dU[1]=-oCv*orho2*U2;
        dT_dU[2]=-oCv*orho2*U3;
        dT_dU[3]=oCv*orho1;
        for(int i=0;i<3;i++)
        {
            for(int j=0;j<4;j++)
            {
                tmpArray[i+j*nrow]=dmu_dT*dT_dU[j]*tmp[i];
            }
        }
 
        //Term 2 +mu*dSn_dU
        NekDouble du_dx_dU1,du_dx_dU2;
        NekDouble du_dy_dU1,du_dy_dU2;
        NekDouble dv_dx_dU1,dv_dx_dU3;
        NekDouble dv_dy_dU1,dv_dy_dU3;
        NekDouble ds12_dU1,ds12_dU2,ds12_dU3;
        NekDouble ds13_dU1,ds13_dU2,ds13_dU3;
        NekDouble ds22_dU1,ds22_dU2,ds22_dU3;
        NekDouble ds23_dU1,ds23_dU2,ds23_dU3;
        NekDouble dsnx_dU1,dsnx_dU2,dsnx_dU3;
        NekDouble dsny_dU1,dsny_dU2,dsny_dU3;
        NekDouble dsnv_dU1,dsnv_dU2,dsnv_dU3;
 
        du_dx_dU1=-orho2*dU2_dx+2*orho3*U2*dU1_dx;
        du_dx_dU2=-orho2*dU1_dx;
        du_dy_dU1=-orho2*dU2_dy+2*orho3*U2*dU1_dy;
        du_dy_dU2=-orho2*dU1_dy;
        dv_dx_dU1=-orho2*dU3_dx+2*orho3*U3*dU1_dx;
        dv_dx_dU3=du_dx_dU2;
        dv_dy_dU1=-orho2*dU3_dy+2*orho3*U3*dU1_dy;
        dv_dy_dU3=du_dy_dU2;
        ds12_dU1=FourThird*du_dx_dU1-TwoThrid*dv_dy_dU1;
        ds12_dU2=FourThird*du_dx_dU2;
        ds12_dU3=-TwoThrid*dv_dy_dU3;
        ds13_dU1=du_dy_dU1+dv_dx_dU1;
        ds13_dU2=du_dy_dU2;
        ds13_dU3=dv_dx_dU3;
        ds22_dU1=ds13_dU1;
        ds22_dU2=ds13_dU2;
        ds22_dU3=ds13_dU3;
        ds23_dU1=FourThird*dv_dy_dU1-TwoThrid*du_dx_dU1;
        ds23_dU2=-TwoThrid*du_dx_dU2;
        ds23_dU3=FourThird*dv_dy_dU3;
        dsnx_dU1=ds12_dU1*nx+ds22_dU1*ny;
        dsnx_dU2=ds12_dU2*nx+ds22_dU2*ny;
        dsnx_dU3=ds12_dU3*nx+ds22_dU3*ny;
        dsny_dU1=ds13_dU1*nx+ds23_dU1*ny;
        dsny_dU2=ds13_dU2*nx+ds23_dU2*ny;
        dsny_dU3=ds13_dU3*nx+ds23_dU3*ny;
        dsnv_dU1=u*dsnx_dU1+v*dsny_dU1-orho2*U2*snx-orho2*U3*sny;
        dsnv_dU2=u*dsnx_dU2+v*dsny_dU2+orho1*snx;
        dsnv_dU3=u*dsnx_dU3+v*dsny_dU3+orho1*sny;
        tmpArray[0+0*nrow]=tmpArray[0+0*nrow]+mu*dsnx_dU1;
        tmpArray[0+1*nrow]=tmpArray[0+1*nrow]+mu*dsnx_dU2;
        tmpArray[0+2*nrow]=tmpArray[0+2*nrow]+mu*dsnx_dU3;
        tmpArray[1+0*nrow]=tmpArray[1+0*nrow]+mu*dsny_dU1;
        tmpArray[1+1*nrow]=tmpArray[1+1*nrow]+mu*dsny_dU2;
        tmpArray[1+2*nrow]=tmpArray[1+2*nrow]+mu*dsny_dU3;
        tmpArray[2+0*nrow]=tmpArray[2+0*nrow]+mu*dsnv_dU1;
        tmpArray[2+1*nrow]=tmpArray[2+1*nrow]+mu*dsnv_dU2;
        tmpArray[2+2*nrow]=tmpArray[2+2*nrow]+mu*dsnv_dU3;
 
        //Consider +qn's effect (does not include mu's effect)
        NekDouble dqx_dU1,dqx_dU2,dqx_dU3,dqx_dU4;
        NekDouble dqy_dU1,dqy_dU2,dqy_dU3,dqy_dU4;
        NekDouble tmpx=-nx*mu*gamma*oPr;
        dqx_dU1=tmpx*(-orho2*dU4_dx+2*orho3*U4*dU1_dx+2*orho3*U2*dU2_dx
                -3*orho4*U2*U2*dU1_dx+2*orho3*U3*dU3_dx-3*orho4*U3*U3*dU1_dx);
        dqx_dU2=tmpx*(-orho2*dU2_dx+2*orho3*U2*dU1_dx);
        dqx_dU3=tmpx*(-orho2*dU3_dx+2*orho3*U3*dU1_dx);
        dqx_dU4=-tmpx*orho2*dU1_dx;
        NekDouble tmpy=-ny*mu*gamma*oPr;
        dqy_dU1=tmpy*(-orho2*dU4_dy+2*orho3*U4*dU1_dy+2*orho3*U2*dU2_dy
                -3*orho4*U2*U2*dU1_dy+2*orho3*U3*dU3_dy-3*orho4*U3*U3*dU1_dy);
        dqy_dU2=tmpy*(-orho2*dU2_dy+2*orho3*U2*dU1_dy);
        dqy_dU3=tmpy*(-orho2*dU3_dy+2*orho3*U3*dU1_dy);
        dqy_dU4=-tmpy*orho2*dU1_dy;
        tmpArray[2+0*nrow]=tmpArray[2+0*nrow]-dqx_dU1-dqy_dU1;
        tmpArray[2+1*nrow]=tmpArray[2+1*nrow]-dqx_dU2-dqy_dU2;
        tmpArray[2+2*nrow]=tmpArray[2+2*nrow]-dqx_dU3-dqy_dU3;
        tmpArray[2+3*nrow]=tmpArray[2+3*nrow]-dqx_dU4-dqy_dU4;
    }

References Nektar::NavierStokesCFE::m_Cv, Nektar::CompressibleFlowSystem::m_gamma, and Nektar::NavierStokesCFE::m_Prandtl.

Referenced by v_GetDiffusionFluxJacPoint().

GetdFlux_dU_3D()

void Nektar::NavierStokesImplicitCFE::GetdFlux_dU_3D ( const Array< OneD, NekDouble > &  normals, const NekDouble  mu, const NekDouble  dmu_dT, const Array< OneD, NekDouble > &  U, const Array< OneD, const Array< OneD, NekDouble >> &  qfield, DNekMatSharedPtr &  OutputMatrix  )

protected

return part of viscous Jacobian Input: normals:Point normals mu: dynamicviscosity dmu_dT: mu's derivative with T using Sutherland's law U=[rho,rhou,rhov,rhow,rhoE] Output: 4*5 Matrix (the flux about rho is zero) OutputMatrix dFLux_dU, the matrix sign is consistent with SIPG

Definition at line 727 of file NavierStokesImplicitCFE.cpp.

    {
        Array<OneD, NekDouble> tmpArray;
        tmpArray = OutputMatrix->GetPtr();
        int nrow = OutputMatrix->GetRows();
 
        NekDouble nx=normals[0];
        NekDouble ny=normals[1];
        NekDouble nz=normals[2];
        NekDouble U1=U[0];
        NekDouble U2=U[1];
        NekDouble U3=U[2];
        NekDouble U4=U[3];
        NekDouble U5=U[4];
        NekDouble dU1_dx=qfield[0][0];
        NekDouble dU2_dx=qfield[0][1];
        NekDouble dU3_dx=qfield[0][2];
        NekDouble dU4_dx=qfield[0][3];
        NekDouble dU5_dx=qfield[0][4];
        NekDouble dU1_dy=qfield[1][0];
        NekDouble dU2_dy=qfield[1][1];
        NekDouble dU3_dy=qfield[1][2];
        NekDouble dU4_dy=qfield[1][3];
        NekDouble dU5_dy=qfield[1][4];
        NekDouble dU1_dz=qfield[2][0];
        NekDouble dU2_dz=qfield[2][1];
        NekDouble dU3_dz=qfield[2][2];
        NekDouble dU4_dz=qfield[2][3];
        NekDouble dU5_dz=qfield[2][4];
        NekDouble gamma=m_gamma;
        NekDouble Cv=m_Cv;
        NekDouble Pr=  m_Prandtl;
        NekDouble oPr = 1.0/Pr;
 
        NekDouble orho1,orho2,orho3,orho4;
        NekDouble oCv=1./Cv;
        orho1=1.0/U1;
        orho2=orho1*orho1;
        orho3=orho1*orho2;
        orho4=orho2*orho2;
 
        //Assume Fn=mu*Sn
        //Sn=Sx*nx+Sy*ny+Sz*nz
        NekDouble TwoThrid=2./3.;
        NekDouble FourThird=2.0*TwoThrid;
        NekDouble tmp2=gamma*mu*oPr;
        NekDouble u=U2*orho1;
        NekDouble v=U3*orho1;
        NekDouble w=U4*orho1;
        NekDouble du_dx=orho1*(dU2_dx-u*dU1_dx);
        NekDouble dv_dx=orho1*(dU3_dx-v*dU1_dx);
        NekDouble dw_dx=orho1*(dU4_dx-w*dU1_dx);
        NekDouble du_dy=orho1*(dU2_dy-u*dU1_dy);
        NekDouble dv_dy=orho1*(dU3_dy-v*dU1_dy);
        NekDouble dw_dy=orho1*(dU4_dy-w*dU1_dy);
        NekDouble du_dz=orho1*(dU2_dz-u*dU1_dz);
        NekDouble dv_dz=orho1*(dU3_dz-v*dU1_dz);
        NekDouble dw_dz=orho1*(dU4_dz-w*dU1_dz);
        NekDouble s12=FourThird*du_dx-TwoThrid*dv_dy-TwoThrid*dw_dz;
        NekDouble s13=du_dy+dv_dx;
        NekDouble s14=dw_dx+du_dz;
        NekDouble s22=s13;
        NekDouble s23=FourThird*dv_dy-TwoThrid*du_dx-TwoThrid*dw_dz;
        NekDouble s24=dv_dz+dw_dy;
        NekDouble s32=s14;
        NekDouble s33=s24;
        NekDouble s34=FourThird*dw_dz-TwoThrid*du_dx-TwoThrid*dv_dy;
        NekDouble snx=s12*nx+s22*ny+s32*nz;
        NekDouble sny=s13*nx+s23*ny+s33*nz;
        NekDouble snz=s14*nz+s24*ny+s34*nz;
        NekDouble snv=snx*u+sny*v+snz*w;
        NekDouble qx=-tmp2*(orho1*dU5_dx-U5*orho2*dU1_dx-u*(orho1*dU2_dx
                    -U2*orho2*dU1_dx)-v*(orho1*dU3_dx-U3*orho2*dU1_dx)
                    -w*(orho1*dU4_dx-U4*orho2*dU1_dx));
        NekDouble qy=-tmp2*(orho1*dU5_dy-U5*orho2*dU1_dy-u*(orho1*dU2_dy
                    -U2*orho2*dU1_dy)-v*(orho1*dU3_dy-U3*orho2*dU1_dy)
                    -w*(orho1*dU4_dy-U4*orho2*dU1_dy));
        NekDouble qz=-tmp2*(orho1*dU5_dz-U5*orho2*dU1_dz-u*(orho1*dU2_dz
                    -U2*orho2*dU1_dz)-v*(orho1*dU3_dz-U3*orho2*dU1_dz)
                    -w*(orho1*dU4_dz-U4*orho2*dU1_dz));
        NekDouble qn=qx*nx+qy*ny+qz*nz;
 
        //Term1 mu's derivative with U: dmu_dU*Sn
        Array<OneD,NekDouble> tmp(4,0.0);
        tmp[0]=snx;
        tmp[1]=sny;
        tmp[2]=snz;
        tmp[3]=snv-qn/mu;
        Array<OneD,NekDouble> dT_dU (5,0.0);
        dT_dU[0]=oCv*(-orho2*U5+orho3*U2*U2+orho3*U3*U3+orho3*U4*U4);
        dT_dU[1]=-oCv*orho2*U2;
        dT_dU[2]=-oCv*orho2*U3;
        dT_dU[3]=-oCv*orho2*U4;
        dT_dU[4]=oCv*orho1;
        for(int i=0;i<4;i++)
        {
            for(int j=0;j<5;j++)
            {
                tmpArray[i+j*nrow]=dmu_dT*dT_dU[j]*tmp[i];
            }
        }
 
        //Term 2 +mu*dSn_dU
        NekDouble du_dx_dU1,du_dx_dU2;
        NekDouble du_dy_dU1,du_dy_dU2;
        NekDouble du_dz_dU1,du_dz_dU2;
        NekDouble dv_dx_dU1,dv_dx_dU3;
        NekDouble dv_dy_dU1,dv_dy_dU3;
        NekDouble dv_dz_dU1,dv_dz_dU3;
        NekDouble dw_dx_dU1,dw_dx_dU4;
        NekDouble dw_dy_dU1,dw_dy_dU4;
        NekDouble dw_dz_dU1,dw_dz_dU4;
        NekDouble ds12_dU1,ds12_dU2,ds12_dU3,ds12_dU4;
        NekDouble ds13_dU1,ds13_dU2,ds13_dU3;
        NekDouble ds14_dU1,ds14_dU2,ds14_dU4;
        NekDouble ds22_dU1,ds22_dU2,ds22_dU3;
        NekDouble ds23_dU1,ds23_dU2,ds23_dU3,ds23_dU4;
        NekDouble ds24_dU1,ds24_dU3,ds24_dU4;
        NekDouble ds32_dU1,ds32_dU2,ds32_dU4;
        NekDouble ds33_dU1,ds33_dU3,ds33_dU4;
        NekDouble ds34_dU1,ds34_dU2,ds34_dU3,ds34_dU4;
        NekDouble dsnx_dU1,dsnx_dU2,dsnx_dU3,dsnx_dU4;
        NekDouble dsny_dU1,dsny_dU2,dsny_dU3,dsny_dU4;
        NekDouble dsnz_dU1,dsnz_dU2,dsnz_dU3,dsnz_dU4;
        NekDouble dsnv_dU1,dsnv_dU2,dsnv_dU3,dsnv_dU4;
 
        du_dx_dU1=-orho2*dU2_dx+2*orho3*U2*dU1_dx;
        du_dx_dU2=-orho2*dU1_dx;
        du_dy_dU1=-orho2*dU2_dy+2*orho3*U2*dU1_dy;
        du_dy_dU2=-orho2*dU1_dy;
        du_dz_dU1=-orho2*dU2_dz+2*orho3*U2*dU1_dz;
        du_dz_dU2=-orho2*dU1_dz;
        dv_dx_dU1=-orho2*dU3_dx+2*orho3*U3*dU1_dx;
        dv_dx_dU3=-orho2*dU1_dx;
        dv_dy_dU1=-orho2*dU3_dy+2*orho3*U3*dU1_dy;
        dv_dy_dU3=-orho2*dU1_dy;
        dv_dz_dU1=-orho2*dU3_dz+2*orho3*U3*dU1_dz;
        dv_dz_dU3=-orho2*dU1_dz;
        dw_dx_dU1=-orho2*dU4_dx+2*orho3*U4*dU1_dx;
        dw_dx_dU4=-orho2*dU1_dx;
        dw_dy_dU1=-orho2*dU4_dy+2*orho3*U4*dU1_dy;
        dw_dy_dU4=-orho2*dU1_dy;
        dw_dz_dU1=-orho2*dU4_dz+2*orho3*U4*dU1_dz;
        dw_dz_dU4=-orho2*dU1_dz;
        ds12_dU1=FourThird*du_dx_dU1-TwoThrid*dv_dy_dU1-TwoThrid*dw_dz_dU1;
        ds12_dU2=FourThird*du_dx_dU2;
        ds12_dU3=-TwoThrid*dv_dy_dU3;
        ds12_dU4=-TwoThrid*dw_dz_dU4;
        ds13_dU1=du_dy_dU1+dv_dx_dU1;
        ds13_dU2=du_dy_dU2;
        ds13_dU3=dv_dx_dU3;
        ds14_dU1=dw_dx_dU1+du_dz_dU1;
        ds14_dU2=du_dz_dU2;
        ds14_dU4=dw_dx_dU4;
        ds22_dU1=du_dy_dU1+dv_dx_dU1;
        ds22_dU2=du_dy_dU2;
        ds22_dU3=dv_dx_dU3;
        ds23_dU1=FourThird*dv_dy_dU1-TwoThrid*du_dx_dU1-TwoThrid*dw_dz_dU1;
        ds23_dU2=-TwoThrid*du_dx_dU2;
        ds23_dU3=FourThird*dv_dy_dU3;
        ds23_dU4=-TwoThrid*dw_dz_dU4;
        ds24_dU1=dv_dz_dU1+dw_dy_dU1;
        ds24_dU3=dv_dz_dU3;
        ds24_dU4=dw_dy_dU4;
        ds32_dU1=dw_dx_dU1+du_dz_dU1;
        ds32_dU2=du_dz_dU2;
        ds32_dU4=dw_dx_dU4;
        ds33_dU1=dv_dz_dU1+dw_dy_dU1;
        ds33_dU3=dv_dz_dU3;
        ds33_dU4=dw_dy_dU4;
        ds34_dU1=FourThird*dw_dz_dU1-TwoThrid*du_dx_dU1-TwoThrid*dv_dy_dU1;
        ds34_dU2=-TwoThrid*du_dx_dU2;
        ds34_dU3=-TwoThrid*dv_dy_dU3;
        ds34_dU4=FourThird*dw_dz_dU4;
        dsnx_dU1=ds12_dU1*nx+ds22_dU1*ny+ds32_dU1*nz;
        dsnx_dU2=ds12_dU2*nx+ds22_dU2*ny+ds32_dU2*nz;
        dsnx_dU3=ds12_dU3*nx+ds22_dU3*ny;
        dsnx_dU4=ds12_dU4*nx+ds32_dU4*nz;
        dsny_dU1=ds13_dU1*nx+ds23_dU1*ny+ds33_dU1*nz;
        dsny_dU2=ds13_dU2*nx+ds23_dU2*ny;
        dsny_dU3=ds13_dU3*nx+ds23_dU3*ny+ds33_dU3*nz;
        dsny_dU4=ds23_dU4*ny+ds33_dU4*nz;
        dsnz_dU1=ds14_dU1*nx+ds24_dU1*ny+ds34_dU1*nz;
        dsnz_dU2=ds14_dU2*nx+ds34_dU2*nz;
        dsnz_dU3=ds24_dU3*ny+ds34_dU3*nz;
        //? why there is value if 2D
        dsnz_dU4=ds14_dU4*nx+ds24_dU4*ny+ds34_dU4*nz;
        dsnv_dU1=u*dsnx_dU1+v*dsny_dU1+w*dsnz_dU1-orho2*U2*snx
                    -orho2*U3*sny-orho2*U4*snz;
        dsnv_dU2=u*dsnx_dU2+v*dsny_dU2+w*dsnz_dU2+orho1*snx;
        dsnv_dU3=u*dsnx_dU3+v*dsny_dU3+w*dsnz_dU3+orho1*sny;
        dsnv_dU4=u*dsnx_dU4+v*dsny_dU4+w*dsnz_dU4+orho1*snz;
        tmpArray[0+0*nrow]=tmpArray[0+0*nrow]+mu*dsnx_dU1;
        tmpArray[0+1*nrow]=tmpArray[0+1*nrow]+mu*dsnx_dU2;
        tmpArray[0+2*nrow]=tmpArray[0+2*nrow]+mu*dsnx_dU3;
        tmpArray[0+3*nrow]=tmpArray[0+3*nrow]+mu*dsnx_dU4;
        tmpArray[1+0*nrow]=tmpArray[1+0*nrow]+mu*dsny_dU1;
        tmpArray[1+1*nrow]=tmpArray[1+1*nrow]+mu*dsny_dU2;
        tmpArray[1+2*nrow]=tmpArray[1+2*nrow]+mu*dsny_dU3;
        tmpArray[1+3*nrow]=tmpArray[1+3*nrow]+mu*dsny_dU4;
        tmpArray[2+0*nrow]=tmpArray[2+0*nrow]+mu*dsnz_dU1;
        tmpArray[2+1*nrow]=tmpArray[2+1*nrow]+mu*dsnz_dU2;
        tmpArray[2+2*nrow]=tmpArray[2+2*nrow]+mu*dsnz_dU3;
        tmpArray[2+3*nrow]=tmpArray[2+3*nrow]+mu*dsnz_dU4;
        tmpArray[3+0*nrow]=tmpArray[3+0*nrow]+mu*dsnv_dU1;
        tmpArray[3+1*nrow]=tmpArray[3+1*nrow]+mu*dsnv_dU2;
        tmpArray[3+2*nrow]=tmpArray[3+2*nrow]+mu*dsnv_dU3;
        tmpArray[3+3*nrow]=tmpArray[3+3*nrow]+mu*dsnv_dU4;
 
        //Consider heat flux qn's effect (does not include mu's effect)
        NekDouble dqx_dU1,dqx_dU2,dqx_dU3,dqx_dU4,dqx_dU5;
        NekDouble dqy_dU1,dqy_dU2,dqy_dU3,dqy_dU4,dqy_dU5;
        NekDouble dqz_dU1,dqz_dU2,dqz_dU3,dqz_dU4,dqz_dU5;
        NekDouble tmpx=-nx*tmp2;
        dqx_dU1=tmpx*(-orho2*dU5_dx+2*orho3*U5*dU1_dx+2*orho3*U2*dU2_dx
                -3*orho4*U2*U2*dU1_dx+2*orho3*U3*dU3_dx-3*orho4*U3*U3*dU1_dx
                +2*orho3*U4*dU4_dx-3*orho4*U4*U4*dU1_dx);
        dqx_dU2=tmpx*(-orho2*dU2_dx+2*orho3*U2*dU1_dx);
        dqx_dU3=tmpx*(-orho2*dU3_dx+2*orho3*U3*dU1_dx);
        dqx_dU4=tmpx*(-orho2*dU4_dx+2*orho3*U4*dU1_dx);
        dqx_dU5=-tmpx*orho2*dU1_dx;
        NekDouble tmpy=-ny*tmp2;
        dqy_dU1=tmpy*(-orho2*dU5_dy+2*orho3*U5*dU1_dy+2*orho3*U2*dU2_dy
                -3*orho4*U2*U2*dU1_dy+2*orho3*U3*dU3_dy-3*orho4*U3*U3*dU1_dy
                +2*orho3*U4*dU4_dy-3*orho4*U4*U4*dU1_dy);
        dqy_dU2=tmpy*(-orho2*dU2_dy+2*orho3*U2*dU1_dy);
        dqy_dU3=tmpy*(-orho2*dU3_dy+2*orho3*U3*dU1_dy);
        dqy_dU4=tmpy*(-orho2*dU4_dy+2*orho3*U4*dU1_dy);
        dqy_dU5=-tmpy*orho2*dU1_dy;
        NekDouble tmpz=-nz*tmp2;
        dqz_dU1=tmpz*(-orho2*dU5_dz+2*orho3*U5*dU1_dz+2*orho3*U2*dU2_dz
                -3*orho4*U2*U2*dU1_dz+2*orho3*U3*dU3_dz-3*orho4*U3*U3*dU1_dz
                +2*orho3*U4*dU4_dz-3*orho4*U4*U4*dU1_dz);
        dqz_dU2=tmpz*(-orho2*dU2_dz+2*orho3*U2*dU1_dz);
        dqz_dU3=tmpz*(-orho2*dU3_dz+2*orho3*U3*dU1_dz);
        dqz_dU4=tmpz*(-orho2*dU4_dz+2*orho3*U4*dU1_dz);
        dqz_dU5=-tmpz*orho2*dU1_dz;
        tmpArray[3+0*nrow]=tmpArray[3+0*nrow]-dqx_dU1-dqy_dU1-dqz_dU1;
        tmpArray[3+1*nrow]=tmpArray[3+1*nrow]-dqx_dU2-dqy_dU2-dqz_dU2;
        tmpArray[3+2*nrow]=tmpArray[3+2*nrow]-dqx_dU3-dqy_dU3-dqz_dU3;
        tmpArray[3+3*nrow]=tmpArray[3+3*nrow]-dqx_dU4-dqy_dU4-dqz_dU4;
        tmpArray[3+4*nrow]=tmpArray[3+4*nrow]-dqx_dU5-dqy_dU5-dqz_dU5;
    }

References Nektar::NavierStokesCFE::m_Cv, Nektar::CompressibleFlowSystem::m_gamma, and Nektar::NavierStokesCFE::m_Prandtl.

Referenced by v_GetDiffusionFluxJacPoint().

v_CalcMuDmuDT()

void Nektar::NavierStokesImplicitCFE::v_CalcMuDmuDT ( const Array< OneD, const Array< OneD, NekDouble >> &  inarray, Array< OneD, NekDouble > &  mu, Array< OneD, NekDouble > &  DmuDT  )

protectedvirtual

Definition at line 1335 of file NavierStokesImplicitCFE.cpp.

    {
        int npoints = mu.size();
        if (m_ViscosityType == "Variable")
        {
            Array<OneD, NekDouble > temperature (npoints, 0.0);
            m_varConv->GetTemperature(inarray,temperature);
            m_varConv->GetDynamicViscosity(temperature, mu);
            if(DmuDT.size()>0)
            {
                m_varConv->GetDmuDT(temperature,mu,DmuDT);
            }
        }
        else
        {
            Vmath::Vcopy(npoints, m_mu, 1, mu, 1);
            if(DmuDT.size()>0)
            {
                Vmath::Zero(npoints, DmuDT, 1);
            }
        }
    }    

References Nektar::NavierStokesCFE::m_mu, Nektar::CompressibleFlowSystem::m_varConv, Nektar::NavierStokesCFE::m_ViscosityType, Vmath::Vcopy(), and Vmath::Zero().

v_CalcPhysDeriv()

void Nektar::NavierStokesImplicitCFE::v_CalcPhysDeriv ( const Array< OneD, const Array< OneD, NekDouble >> &  inarray, TensorOfArray3D< NekDouble > &  qfield  )

protectedvirtual

Reimplemented from Nektar::CFSImplicit.

Definition at line 1311 of file NavierStokesImplicitCFE.cpp.

    {
        int nConvectiveFields = m_fields.size();
        int npoints           = GetTotPoints();
        const Array<OneD, Array<OneD, NekDouble>> pFwd;
        const Array<OneD, Array<OneD, NekDouble>> pBwd;
        if(!qfield.size())
        {
            qfield  = TensorOfArray3D<NekDouble> (m_spacedim);
            for(int i = 0; i< m_spacedim; i++)
            {
                qfield[i] = Array<OneD, Array<OneD, NekDouble>>(nConvectiveFields);
                for(int j = 0; j< nConvectiveFields; j++)
                {
                    qfield[i][j] = Array<OneD, NekDouble>(npoints,0.0);
                }
            }
        }
        m_diffusion->DiffuseCalcDerivative(m_fields,inarray,qfield,
            pFwd,pBwd);
    }

References Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::CompressibleFlowSystem::m_diffusion, Nektar::SolverUtils::EquationSystem::m_fields, and Nektar::SolverUtils::EquationSystem::m_spacedim.

v_DoDiffusionCoeff()

void Nektar::NavierStokesImplicitCFE::v_DoDiffusionCoeff ( const Array< OneD, const Array< OneD, NekDouble >> &  inarray, Array< OneD, Array< OneD, NekDouble >> &  outarray, const Array< OneD, const Array< OneD, NekDouble >> &  pFwd, const Array< OneD, const Array< OneD, NekDouble >> &  pBwd  )

protectedvirtual

Reimplemented from Nektar::CFSImplicit.

Definition at line 114 of file NavierStokesImplicitCFE.cpp.

    {
        size_t nvariables = inarray.size();
        size_t npoints    = GetNpoints();
        size_t ncoeffs    = GetNcoeffs();
        size_t nTracePts  = GetTraceTotPoints();
 
        Array<OneD, Array<OneD, NekDouble> > outarrayDiff{nvariables};
        for (int i = 0; i < nvariables; ++i)
        {
            outarrayDiff[i] = Array<OneD, NekDouble>{ncoeffs, 0.0};
        }
 
        // get artificial viscosity
        if (m_shockCaptureType == "Physical" && m_CalcPhysicalAV)
        {
            GetPhysicalAV(inarray);
        }
 
        if (m_is_diffIP)
        {
            if (m_bndEvaluateTime < 0.0)
            {
                NEKERROR(ErrorUtil::efatal, "m_bndEvaluateTime not setup");
            }
            m_diffusion->DiffuseCoeffs(nvariables, m_fields, inarray,
                                        outarrayDiff, m_bndEvaluateTime,
                                        pFwd, pBwd);
            for (int i = 0; i < nvariables; ++i)
            {
                Vmath::Vadd(ncoeffs,
                            outarrayDiff[i], 1,
                            outarray[i], 1,
                            outarray[i], 1);
            }
        }
        else
        {
            Array<OneD, Array<OneD, NekDouble> > inarrayDiff{nvariables - 1};
            Array<OneD, Array<OneD, NekDouble> > inFwd{nvariables - 1};
            Array<OneD, Array<OneD, NekDouble> > inBwd{nvariables-1};
 
            for (int i = 0; i < nvariables-1; ++i)
            {
                inarrayDiff[i] = Array<OneD, NekDouble>{npoints};
                inFwd[i]       = Array<OneD, NekDouble>{nTracePts};
                inBwd[i]       = Array<OneD, NekDouble>{nTracePts};
            }
 
            // Extract pressure
            //    (use inarrayDiff[0] as a temporary storage for the pressure)
            m_varConv->GetPressure(inarray, inarrayDiff[0]);
 
            // Extract temperature
            m_varConv->GetTemperature(inarray, inarrayDiff[nvariables-2]);
 
            // Extract velocities
            m_varConv->GetVelocityVector(inarray, inarrayDiff);
 
            // Repeat calculation for trace space
            if (pFwd == NullNekDoubleArrayOfArray ||
                pBwd == NullNekDoubleArrayOfArray)
            {
                inFwd = NullNekDoubleArrayOfArray;
                inBwd = NullNekDoubleArrayOfArray;
            }
            else
            {
                m_varConv->GetPressure(pFwd,    inFwd[0]);
                m_varConv->GetPressure(pBwd,    inBwd[0]);
 
                m_varConv->GetTemperature(pFwd, inFwd[nvariables-2]);
                m_varConv->GetTemperature(pBwd, inBwd[nvariables-2]);
 
                m_varConv->GetVelocityVector(pFwd, inFwd);
                m_varConv->GetVelocityVector(pBwd, inBwd);
            }
 
            // Diffusion term in physical rhs form
            m_diffusion->Diffuse(nvariables, m_fields, inarrayDiff, outarrayDiff,
                                inFwd, inBwd);
 
            for (int i = 0; i < nvariables; ++i)
            {
                Vmath::Vadd(npoints,
                            outarrayDiff[i], 1,
                            outarray[i], 1,
                            outarray[i], 1);
            }
 
            if (m_shockCaptureType != "Off")
            {
                m_artificialDiffusion->DoArtificialDiffusionCoeff(
                    inarray, outarray);
            }
        }
    }

References Nektar::ErrorUtil::efatal, Nektar::SolverUtils::EquationSystem::GetNcoeffs(), Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::NavierStokesCFE::GetPhysicalAV(), Nektar::SolverUtils::EquationSystem::GetTraceTotPoints(), Nektar::CompressibleFlowSystem::m_artificialDiffusion, Nektar::CompressibleFlowSystem::m_bndEvaluateTime, Nektar::SolverUtils::UnsteadySystem::m_CalcPhysicalAV, Nektar::CompressibleFlowSystem::m_diffusion, Nektar::SolverUtils::EquationSystem::m_fields, Nektar::NavierStokesCFE::m_is_diffIP, Nektar::CompressibleFlowSystem::m_shockCaptureType, Nektar::CompressibleFlowSystem::m_varConv, NEKERROR, Nektar::NullNekDoubleArrayOfArray, and Vmath::Vadd().

v_GetDiffusionFluxJacPoint()

void Nektar::NavierStokesImplicitCFE::v_GetDiffusionFluxJacPoint ( const Array< OneD, NekDouble > &  conservVar, const Array< OneD, const Array< OneD, NekDouble >> &  conseDeriv, const NekDouble  mu, const NekDouble  DmuDT, const Array< OneD, NekDouble > &  normals, DNekMatSharedPtr &  fluxJac  )

protectedvirtual

Definition at line 1035 of file NavierStokesImplicitCFE.cpp.

    {
        switch (m_spacedim)
        {
        case 2:
            GetdFlux_dU_2D(normals,mu,DmuDT,conservVar,conseDeriv,fluxJac);
            break;
 
        case 3:
            GetdFlux_dU_3D(normals,mu,DmuDT,conservVar,conseDeriv,fluxJac);
            break;
 
        default:
            NEKERROR(ErrorUtil::efatal, "v_GetDiffusionFluxJacPoint not coded");
            break;
        }
    }

References Nektar::ErrorUtil::efatal, GetdFlux_dU_2D(), GetdFlux_dU_3D(), Nektar::SolverUtils::EquationSystem::m_spacedim, and NEKERROR.

Referenced by v_MinusDiffusionFluxJacPoint().

v_GetFluxDerivJacDirctn() [1/2]

void Nektar::NavierStokesImplicitCFE::v_GetFluxDerivJacDirctn ( const MultiRegions::ExpListSharedPtr &  explist, const Array< OneD, const Array< OneD, NekDouble >> &  normals, const int  nDervDir, const Array< OneD, const Array< OneD, NekDouble >> &  inarray, Array< OneD, Array< OneD, DNekMatSharedPtr >> &  ElmtJac  )

protectedvirtual

Reimplemented from Nektar::CFSImplicit.

Definition at line 1195 of file NavierStokesImplicitCFE.cpp.

    {
        int nConvectiveFields   = inarray.size();
        std::shared_ptr<LocalRegions::ExpansionVector> expvect =
            explist->GetExp();
        int nTotElmt            = (*expvect).size();
        int nPts                = explist->GetTotPoints();
        int nSpaceDim           = m_graph->GetSpaceDimension();
 
        //Debug
        if(!ElmtJac.size())
        {
            ElmtJac = Array<OneD, Array<OneD, DNekMatSharedPtr> > (nTotElmt);
            for(int  nelmt = 0; nelmt < nTotElmt; nelmt++)
            {
                int nElmtPnt            = (*expvect)[nelmt]->GetTotPoints();
                ElmtJac[nelmt] =   Array<OneD, DNekMatSharedPtr>(nElmtPnt);
                for(int npnt = 0; npnt < nElmtPnt; npnt++)
                {
                    ElmtJac[nelmt][npnt] = MemoryManager<DNekMat>
                        ::AllocateSharedPtr(nConvectiveFields, 
                        nConvectiveFields);
                }
            }
        }
        // Auxiliary variables
        Array<OneD, NekDouble > mu                 (nPts, m_mu[0]);
 
        // Variable viscosity through the Sutherland's law
        if (m_ViscosityType == "Variable")
        {
            Array<OneD, NekDouble > temperature        (nPts, 0.0);
            m_varConv->GetTemperature(inarray,temperature);
            m_varConv->GetDynamicViscosity(temperature, mu);
        }
 
        // Add artificial viscosity if wanted
        if (m_shockCaptureType == "Physical")
        {
            Array<OneD, NekDouble> muav;
            if (m_fields[0]->GetTrace()->GetTotPoints()==nPts)
            {
                muav = m_muavTrace;
            }
            else
            {
                muav = m_muav;
            }
            Vmath::Vadd(nPts, mu, 1, muav, 1, mu, 1);
        }
 
        // What about thermal conductivity?
 
        NekDouble pointmu       = 0.0;
        Array<OneD, NekDouble> locmu;
        Array<OneD, NekDouble> pointVar(nConvectiveFields,0.0);
        Array<OneD, Array<OneD, NekDouble> > locVars(nConvectiveFields);
        Array<OneD, NekDouble> pointnormals(nSpaceDim,0.0);
        Array<OneD, Array<OneD, NekDouble> > locnormal(nSpaceDim);
 
        DNekMatSharedPtr PointFJac = MemoryManager<DNekMat>
            ::AllocateSharedPtr(nConvectiveFields-1, nConvectiveFields);
        Array<OneD, NekDouble > tmpMatinnData, tmpMatoutData;
        Array<OneD, NekDouble > tmp1, tmp2;
        
        for (int nelmt = 0; nelmt < nTotElmt; nelmt++)
        {
            int nElmtPnt            = (*expvect)[nelmt]->GetTotPoints();
            int noffest             = explist->GetPhys_Offset(nelmt);
            
            for (int j = 0; j < nConvectiveFields; j++)
            {
                locVars[j] = inarray[j]+noffest;
            }
            
            for (int j = 0; j < nSpaceDim; j++)
            {
                locnormal[j] = normals[j]+noffest;
            }
            
            locmu       =   mu      + noffest;
            for (int npnt = 0; npnt < nElmtPnt; npnt++)
            {
                for (int j = 0; j < nConvectiveFields; j++)
                {
                    pointVar[j] = locVars[j][npnt];
                }
                for (int j = 0; j < nSpaceDim; j++)
                {
                    pointnormals[j] = locnormal[j][npnt];
                }
                
                pointmu     = locmu[npnt];
                
                m_GetdFlux_dDeriv_Array[nDervDir](pointnormals,pointmu,
                    pointVar,PointFJac);
                tmpMatinnData = PointFJac->GetPtr();
                tmpMatoutData = ElmtJac[nelmt][npnt]->GetPtr();
                
                Vmath::Fill(nConvectiveFields,0.0,tmpMatoutData,
                            nConvectiveFields);
                for (int j =0; j < nConvectiveFields; j++)
                {
                    Vmath::Vcopy(nConvectiveFields-1,
                        tmp1 = tmpMatinnData + (j*(nConvectiveFields-1)),1,
                        tmp2 = tmpMatoutData + (1+j*nConvectiveFields),1);
                }
            }
        }
    }

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Vmath::Fill(), Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::SolverUtils::EquationSystem::m_fields, m_GetdFlux_dDeriv_Array, Nektar::SolverUtils::EquationSystem::m_graph, Nektar::NavierStokesCFE::m_mu, Nektar::CompressibleFlowSystem::m_muav, Nektar::CompressibleFlowSystem::m_muavTrace, Nektar::CompressibleFlowSystem::m_shockCaptureType, Nektar::CompressibleFlowSystem::m_varConv, Nektar::NavierStokesCFE::m_ViscosityType, Vmath::Vadd(), and Vmath::Vcopy().

v_GetFluxDerivJacDirctn() [2/2]

void Nektar::NavierStokesImplicitCFE::v_GetFluxDerivJacDirctn ( const MultiRegions::ExpListSharedPtr &  explist, const Array< OneD, const Array< OneD, NekDouble >> &  normals, const int  nDervDir, const Array< OneD, const Array< OneD, NekDouble >> &  inarray, TensorOfArray5D< NekDouble > &  ElmtJacArray, const int  nFluxDir  )

protectedvirtual

Reimplemented from Nektar::CFSImplicit.

Definition at line 1059 of file NavierStokesImplicitCFE.cpp.

    {
        int nConvectiveFields   = inarray.size();
        std::shared_ptr<LocalRegions::ExpansionVector> expvect =    
            explist->GetExp();
        int nTotElmt            = (*expvect).size();
        int nPts                = explist->GetTotPoints();
        int nSpaceDim           = m_graph->GetSpaceDimension();
 
        // Auxiliary variables
        Array<OneD, NekDouble > mu                 (nPts, 0.0);
 
        // Variable viscosity through the Sutherland's law
        if (m_ViscosityType == "Variable")
        {
            Array<OneD, NekDouble > temperature        (nPts, 0.0);
            m_varConv->GetTemperature(inarray,temperature);
            m_varConv->GetDynamicViscosity(temperature, mu);
        }
        else
        {
            Vmath::Fill(nPts, m_mu[0], mu, 1);
        }
 
        NekDouble pointmu       = 0.0;
        Array<OneD, NekDouble> locmu;
        Array<OneD, NekDouble> pointVar(nConvectiveFields,0.0);
        Array<OneD, Array<OneD, NekDouble> > locVars(nConvectiveFields);
        Array<OneD, NekDouble> pointnormals(nSpaceDim,0.0);
        Array<OneD, Array<OneD, NekDouble> > locnormal(nSpaceDim);
 
        DNekMatSharedPtr PointFJac = MemoryManager<DNekMat>
            ::AllocateSharedPtr(nConvectiveFields-1, nConvectiveFields);
        Array<OneD, NekDouble > PointFJac_data = PointFJac->GetPtr();
 
        for(int nelmt = 0; nelmt < nTotElmt; nelmt++)
        {
            int nElmtPnt            = (*expvect)[nelmt]->GetTotPoints();
            int noffest             = explist->GetPhys_Offset(nelmt);
 
            for(int j = 0; j < nConvectiveFields; j++)
            {
                locVars[j] = inarray[j]+noffest;
            }
 
            for(int j = 0; j < nSpaceDim; j++)
            {
                locnormal[j] = normals[j]+noffest;
            }
 
            locmu       =   mu      + noffest;
            for(int npnt = 0; npnt < nElmtPnt; npnt++)
            {
                for(int j = 0; j < nConvectiveFields; j++)
                {
                    pointVar[j] = locVars[j][npnt];
                }
                for(int j = 0; j < nSpaceDim; j++)
                {
                    pointnormals[j] = locnormal[j][npnt];
                }
 
                pointmu     = locmu[npnt];
 
                m_GetdFlux_dDeriv_Array[nDervDir](pointnormals,pointmu,
                    pointVar,PointFJac);
                for (int j =0; j < nConvectiveFields; j++)
                {
                    ElmtJacArray[0][j][nFluxDir][nelmt][npnt] = 0.0;
                }
                for (int j =0; j < nConvectiveFields; j++)
                {
                    int noffset = j*(nConvectiveFields-1);
                    for (int i =0; i < nConvectiveFields-1; i++)
                    {
                        ElmtJacArray[i+1][j][nFluxDir][nelmt][npnt] = 
                            PointFJac_data[noffset+i];
                    }
                }
            }
        }
    }

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Vmath::Fill(), m_GetdFlux_dDeriv_Array, Nektar::SolverUtils::EquationSystem::m_graph, Nektar::NavierStokesCFE::m_mu, Nektar::CompressibleFlowSystem::m_varConv, and Nektar::NavierStokesCFE::m_ViscosityType.

v_GetFluxDerivJacDirctnElmt()

void Nektar::NavierStokesImplicitCFE::v_GetFluxDerivJacDirctnElmt ( const int  nConvectiveFields, const int  nElmtPnt, const int  nDervDir, const Array< OneD, const Array< OneD, NekDouble >> &  locVars, const Array< OneD, NekDouble > &  locmu, const Array< OneD, const Array< OneD, NekDouble >> &  locnormal, DNekMatSharedPtr &  wspMat, Array< OneD, Array< OneD, NekDouble >> &  PntJacArray  )

protectedvirtual

Reimplemented from Nektar::CFSImplicit.

Definition at line 1148 of file NavierStokesImplicitCFE.cpp.

    {
        int nSpaceDim           = m_graph->GetSpaceDimension();  
        
        NekDouble pointmu       = 0.0;
        Array<OneD, NekDouble> pointVar(nConvectiveFields,0.0);
        Array<OneD, NekDouble> pointnormals(nSpaceDim,0.0);
 
        Array<OneD, NekDouble > wspMatData = wspMat->GetPtr();
 
        Array<OneD, NekDouble > tmp1;
        Array<OneD, NekDouble > tmp2;
                
        for(int npnt = 0; npnt < nElmtPnt; npnt++)
        {
            for(int j = 0; j < nConvectiveFields; j++)
            {
                pointVar[j] = locVars[j][npnt];
            }
            for(int j = 0; j < nSpaceDim; j++)
            {   
                pointnormals[j] = locnormal[j][npnt];
            }
 
            pointmu     = locmu[npnt];
 
            m_GetdFlux_dDeriv_Array[nDervDir](pointnormals,pointmu,
                pointVar,wspMat);
            Vmath::Zero(nConvectiveFields,PntJacArray[npnt],nConvectiveFields);
            for (int j =0; j < nConvectiveFields; j++)
            {
                int noffset = j*(nConvectiveFields-1);
                Vmath::Vcopy((nConvectiveFields-1), 
                    tmp1 = wspMatData + noffset,1, 
                    tmp2 = PntJacArray[npnt] + noffset+j+1,1);
            }
        }
    }

References m_GetdFlux_dDeriv_Array, Nektar::SolverUtils::EquationSystem::m_graph, Vmath::Vcopy(), and Vmath::Zero().

v_InitObject()

void Nektar::NavierStokesImplicitCFE::v_InitObject ( )

protectedvirtual

Initialization object for CompressibleFlowSystem class.

Reimplemented from Nektar::CFSImplicit.

Definition at line 64 of file NavierStokesImplicitCFE.cpp.

    {
        CFSImplicit::v_InitObject(); 
 
        NavierStokesCFE::InitObject_Explicit();
        
        m_GetdFlux_dDeriv_Array = Array<OneD, GetdFlux_dDeriv> (m_spacedim);
        switch (m_spacedim)
        {
        case 2:
            /* code */
            m_GetdFlux_dDeriv_Array[0] = std::bind(
            &NavierStokesImplicitCFE::GetdFlux_dQx_2D, this, std::placeholders::_1,
                                                     std::placeholders::_2,
                                                     std::placeholders::_3,
                                                     std::placeholders::_4);
 
            m_GetdFlux_dDeriv_Array[1] = std::bind(
            &NavierStokesImplicitCFE::GetdFlux_dQy_2D, this, std::placeholders::_1,
                                                     std::placeholders::_2,
                                                     std::placeholders::_3,
                                                     std::placeholders::_4);
            break;
        case 3:
            /* code */
            m_GetdFlux_dDeriv_Array[0] = std::bind(
            &NavierStokesImplicitCFE::GetdFlux_dQx_3D, this, std::placeholders::_1,
                                                     std::placeholders::_2,
                                                     std::placeholders::_3,
                                                     std::placeholders::_4);
 
            m_GetdFlux_dDeriv_Array[1] = std::bind(
            &NavierStokesImplicitCFE::GetdFlux_dQy_3D, this, std::placeholders::_1,
                                                     std::placeholders::_2,
                                                     std::placeholders::_3,
                                                     std::placeholders::_4);
            m_GetdFlux_dDeriv_Array[2] = std::bind(
            &NavierStokesImplicitCFE::GetdFlux_dQz_3D, this, std::placeholders::_1,
                                                     std::placeholders::_2,
                                                     std::placeholders::_3,
                                                     std::placeholders::_4);
 
            break;
 
        default:
 
            break;
        }
    }

References GetdFlux_dQx_2D(), GetdFlux_dQx_3D(), GetdFlux_dQy_2D(), GetdFlux_dQy_3D(), GetdFlux_dQz_3D(), Nektar::NavierStokesCFE::InitObject_Explicit(), m_GetdFlux_dDeriv_Array, Nektar::SolverUtils::EquationSystem::m_spacedim, and Nektar::CFSImplicit::v_InitObject().

v_MinusDiffusionFluxJacPoint()

void Nektar::NavierStokesImplicitCFE::v_MinusDiffusionFluxJacPoint ( const int  nConvectiveFields, const int  nElmtPnt, const Array< OneD, const Array< OneD, NekDouble >> &  locVars, const TensorOfArray3D< NekDouble > &  locDerv, const Array< OneD, NekDouble > &  locmu, const Array< OneD, NekDouble > &  locDmuDT, const Array< OneD, NekDouble > &  normals, DNekMatSharedPtr &  wspMat, Array< OneD, Array< OneD, NekDouble >> &  PntJacArray  )

protectedvirtual

Reimplemented from Nektar::CFSImplicit.

Definition at line 977 of file NavierStokesImplicitCFE.cpp.

    {
        int nSpaceDim           = m_graph->GetSpaceDimension();  
 
        NekDouble pointmu       = 0.0;
        NekDouble pointDmuDT    = 0.0;
        Array<OneD, NekDouble> pointVar(nConvectiveFields,0.0);
        Array<OneD, Array<OneD, NekDouble> > pointDerv(nSpaceDim);
        for(int j = 0; j < nSpaceDim; j++)
        {   
            pointDerv[j] = Array<OneD, NekDouble>(nConvectiveFields,0.0);
        }
 
        Array<OneD, NekDouble > wspMatData = wspMat->GetPtr();
        Array<OneD, NekDouble > tmp1;
        Array<OneD, NekDouble > tmp2;
        Array<OneD, NekDouble > tmp3;
 
        for(int npnt = 0; npnt < nElmtPnt; npnt++)
        {
            for(int j = 0; j < nConvectiveFields; j++)
            {
                pointVar[j] = locVars[j][npnt];
            }
            for(int j = 0; j < nSpaceDim; j++)
            {   
                for(int k = 0; k < nConvectiveFields; k++)
                {
                    pointDerv[j][k] = locDerv[j][k][npnt];
                }
            }
 
            pointmu     = locmu[npnt];
            pointDmuDT  = locDmuDT[npnt];
 
            v_GetDiffusionFluxJacPoint(pointVar,pointDerv,pointmu,pointDmuDT,
                normals,wspMat);
            for (int j =0; j < nConvectiveFields; j++)
            {
                int noffset = j*nConvectiveFields;
 
                Vmath::Vsub(nConvectiveFields-1, 
                    tmp1 = PntJacArray[npnt] + (noffset+1),1,
                    tmp2 = wspMatData + (noffset-j),1,
                    tmp3 = PntJacArray[npnt] + (noffset+1),1);
            }
        }
    }

References Nektar::SolverUtils::EquationSystem::m_graph, v_GetDiffusionFluxJacPoint(), and Vmath::Vsub().

Friends And Related Function Documentation

MemoryManager< NavierStokesImplicitCFE >

friend class MemoryManager< NavierStokesImplicitCFE >

friend

Definition at line 1 of file NavierStokesImplicitCFE.h.

Member Data Documentation

className

string Nektar::NavierStokesImplicitCFE::className

static

Initial value:

=
        SolverUtils::GetEquationSystemFactory().RegisterCreatorFunction(
            "NavierStokesImplicitCFE", NavierStokesImplicitCFE::create,
            "NavierStokes equations in conservative variables.")

Definition at line 67 of file NavierStokesImplicitCFE.h.

m_GetdFlux_dDeriv_Array

Array<OneD, GetdFlux_dDeriv> Nektar::NavierStokesImplicitCFE::m_GetdFlux_dDeriv_Array

protected

Definition at line 78 of file NavierStokesImplicitCFE.h.

Referenced by v_GetFluxDerivJacDirctn(), v_GetFluxDerivJacDirctnElmt(), and v_InitObject().