#include <RinglebFlow.h>

Inheritance diagram for Nektar::RinglebFlow:

Public Member Functions
virtual	~RinglebFlow ()
	Destructor for EulerCFE class. More...

Public Member Functions inherited from Nektar::EulerCFE
virtual	~EulerCFE ()
	Destructor for EulerCFE class. More...

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)
	Extract array with pressure from physfield. More...

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

virtual bool	HasConstantDensity ()

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

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

virtual SOLVER_UTILS_EXPORT	~AdvectionSystem ()

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

SOLVER_UTILS_EXPORT Array< OneD, NekDouble >	GetElmtCFLVals (void)

SOLVER_UTILS_EXPORT NekDouble	GetCFLEstimate (int &elmtid)

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

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

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

SOLVER_UTILS_EXPORT void	SetUpTraceNormals (void)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

SOLVER_UTILS_EXPORT int	GetNcoeffs ()

SOLVER_UTILS_EXPORT int	GetNcoeffs (const int eid)

SOLVER_UTILS_EXPORT int	GetNumExpModes ()

SOLVER_UTILS_EXPORT const Array< OneD, int >	GetNumExpModesPerExp ()

SOLVER_UTILS_EXPORT int	GetNvariables ()

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

SOLVER_UTILS_EXPORT int	GetTraceTotPoints ()

SOLVER_UTILS_EXPORT int	GetTraceNpoints ()

SOLVER_UTILS_EXPORT int	GetExpSize ()

SOLVER_UTILS_EXPORT int	GetPhys_Offset (int n)

SOLVER_UTILS_EXPORT int	GetCoeff_Offset (int n)

SOLVER_UTILS_EXPORT int	GetTotPoints ()

SOLVER_UTILS_EXPORT int	GetTotPoints (int n)

SOLVER_UTILS_EXPORT int	GetNpoints ()

SOLVER_UTILS_EXPORT int	GetSteps ()

SOLVER_UTILS_EXPORT NekDouble	GetTimeStep ()

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

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

SOLVER_UTILS_EXPORT void	SetSteps (const int steps)

SOLVER_UTILS_EXPORT void	ZeroPhysFields ()

SOLVER_UTILS_EXPORT void	FwdTransFields ()

SOLVER_UTILS_EXPORT void	SetModifiedBasis (const bool modbasis)

SOLVER_UTILS_EXPORT int	GetCheckpointNumber ()

SOLVER_UTILS_EXPORT void	SetCheckpointNumber (int num)

SOLVER_UTILS_EXPORT int	GetCheckpointSteps ()

SOLVER_UTILS_EXPORT void	SetCheckpointSteps (int num)

SOLVER_UTILS_EXPORT void	SetTime (const NekDouble time)

SOLVER_UTILS_EXPORT void	SetInitialStep (const int step)

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

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

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

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

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

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

static std::string	className2

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

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

virtual void	v_EvaluateExactSolution (unsigned int field, Array< OneD, NekDouble > &outfield, const NekDouble time=0.0)
	Get the exact solutions for isentropic vortex and Ringleb flow problems. More...

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

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

virtual void	v_InitObject ()
	Initialization object for CompressibleFlowSystem class. More...

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, Array< OneD, NekDouble > > &pFwd, const Array< OneD, 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, Array< OneD, NekDouble > > &pFwd, const Array< OneD, Array< OneD, NekDouble > > &pBwd)
	Add the diffusions terms to the right-hand side. More...

void	GetFluxVector (const Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &flux)
	Return the flux vector for the compressible Euler equations. More...

void	GetFluxVectorDeAlias (const Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, Array< OneD, 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	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 void	v_DoDiffusion (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const Array< OneD, Array< OneD, NekDouble > > &pFwd, const Array< OneD, Array< OneD, NekDouble > > &pBwd)

virtual Array< OneD, NekDouble >	v_GetMaxStdVelocity ()
	Compute the advection velocity in the standard space for each element of the expansion. More...

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_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_Output (void)

virtual SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr	v_GetPressure (void)

Private Member Functions
void	GetExactRinglebFlow (int field, Array< OneD, NekDouble > &outarray)
	Ringleb Flow Test Case. More...

Friends
class	MemoryManager< RinglebFlow >

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

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

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

VariableConverterSharedPtr	m_varConv

std::vector< CFSBndCondSharedPtr >	m_bndConds

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

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

LibUtilities::TimeIntegrationSolutionSharedPtr	m_intSoln

NekDouble	m_epsilon

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

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

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

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

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

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

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

std::ofstream	m_errFile

std::vector< int >	m_intVariables

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

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

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

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

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

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

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

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

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

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

NekDouble	m_time
	Current time of simulation. More...

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

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

NekDouble	m_timestep
	Time step size. More...

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

NekDouble	m_checktime
	Time between checkpoints. More...

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

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

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

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

int	m_expdim
	Expansion dimension. More...

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

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

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

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

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

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

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

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

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

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

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

enum HomogeneousType	m_HomogeneousType

NekDouble	m_LhomX
	physical length in X direction (if homogeneous) More...

NekDouble	m_LhomY
	physical length in Y direction (if homogeneous) More...

NekDouble	m_LhomZ
	physical length in Z direction (if homogeneous) More...

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

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

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

int	m_HomoDirec
	number of homogenous directions More...

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

Detailed Description

Definition at line 43 of file RinglebFlow.h.

Constructor & Destructor Documentation

◆ ~RinglebFlow()

Nektar::RinglebFlow::~RinglebFlow ( )

virtual

Destructor for EulerCFE class.

Definition at line 59 of file RinglebFlow.cpp.

60 {

61 }

◆ RinglebFlow()

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

protected

Definition at line 48 of file RinglebFlow.cpp.

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

Member Function Documentation

◆ create()

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

inlinestatic

Creates an instance of this class.

Definition at line 49 of file RinglebFlow.h.

References CellMLToNektar.cellml_metadata::p.

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

◆ GetExactRinglebFlow()

void Nektar::RinglebFlow::GetExactRinglebFlow	(	int	field,
		Array< OneD, NekDouble > &	outarray
	)

private

Ringleb Flow Test Case.

Compute the exact solution for the Ringleb flow problem.

Definition at line 88 of file RinglebFlow.cpp.

References ASSERTL0, Nektar::SolverUtils::EquationSystem::GetTotPoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::CompressibleFlowSystem::m_gamma, and class_topology::P.

Referenced by v_EvaluateExactSolution().

     {
         int nTotQuadPoints  = GetTotPoints();
         
         Array<OneD, NekDouble> rho(nTotQuadPoints, 100.0);
         Array<OneD, NekDouble> rhou(nTotQuadPoints);
         Array<OneD, NekDouble> rhov(nTotQuadPoints);
         Array<OneD, NekDouble> E(nTotQuadPoints);
         Array<OneD, NekDouble> x(nTotQuadPoints);
         Array<OneD, NekDouble> y(nTotQuadPoints);
         Array<OneD, NekDouble> z(nTotQuadPoints);
         
         m_fields[0]->GetCoords(x, y, z);
         
         // Flow parameters
         NekDouble c, k, phi, r, J, VV, pp, sint, P, ss;
         NekDouble J11, J12, J21, J22, det;
         NekDouble Fx, Fy;
         NekDouble xi, yi;
         NekDouble dV;
         NekDouble dtheta;
         NekDouble par1;
         NekDouble theta     = M_PI / 4.0;
         NekDouble kExt      = 0.7;
         NekDouble V         = kExt * sin(theta);
         NekDouble toll      = 1.0e-8;
         NekDouble errV      = 1.0;
         NekDouble errTheta  = 1.0;
         NekDouble gamma     = m_gamma;
         NekDouble gamma_1_2 = (gamma - 1.0) / 2.0;
         
         for (int i = 0; i < nTotQuadPoints; ++i)
         {
             while ((abs(errV) > toll) || (abs(errTheta) > toll))
             {
                 VV   = V * V;
                 sint = sin(theta);
                 c    = sqrt(1.0 - gamma_1_2 * VV);
                 k    = V / sint;
                 phi  = 1.0 / k;
                 pp   = phi * phi;
                 J    = 1.0 / c + 1.0 / (3.0 * c * c * c) + 
                 1.0 / (5.0 * c * c * c * c * c) - 
                 0.5 * log((1.0 + c) / (1.0 - c));
                 
                 r    = pow(c, 1.0 / gamma_1_2);
                 xi   = 1.0 / (2.0 * r) * (1.0 / VV - 2.0 * pp) + J / 2.0;
                 yi   = phi / (r * V) * sqrt(1.0 - VV * pp);
                 par1 = 25.0 - 5.0 * VV;
                 ss   = sint * sint;
                 
                 Fx   = xi - x[i];
                 Fy   = yi - y[i];
                 
                 J11  = 39062.5 / pow(par1, 3.5) * (1.0 / VV - 2.0 / VV * ss) * 
                 V + 1562.5 / pow(par1, 2.5) * (-2.0 / (VV * V) + 4.0 / 
                 (VV * V) * ss) + 12.5 / pow(par1, 1.5) * V + 312.5 / 
                 pow(par1, 2.5) * V + 7812.5 / pow(par1, 3.5) * V - 
                 0.25 * (-1.0 / pow(par1, 0.5) * V/(1.0 - 0.2 * 
                 pow(par1, 0.5)) - (1.0 + 0.2 * pow(par1, 0.5)) / 
                 pow((1.0 - 0.2 * pow(par1, 0.5)), 2.0) / 
                 pow(par1, 0.5) * V) / (1.0 + 0.2 * pow(par1, 0.5)) * 
                 (1.0 - 0.2 * pow(par1, 0.5));
                 
                 J12  = -6250.0 / pow(par1, 2.5) / VV * sint * cos(theta);
                 J21  = -6250.0 / (VV * V) * sint / 
                 pow(par1, 2.5) * pow((1.0 - ss), 0.5) + 
                 78125.0 / V * sint / pow(par1, 3.5) * 
                 pow((1.0 - ss), 0.5);
                 
                 // the matrix is singular when theta = pi/2
                 if(abs(y[i])<toll && abs(cos(theta))<toll)
                 {
                     J22 = -39062.5 / pow(par1, 3.5) / V + 3125 / 
                     pow(par1, 2.5) / (VV * V) + 12.5 / pow(par1, 1.5) * 
                     V + 312.5 / pow(par1, 2.5) * V + 7812.5 / 
                     pow(par1, 3.5) * V - 0.25 * (-1.0 / pow(par1, 0.5) *
                     V / (1.0 - 0.2 * pow(par1, 0.5)) - (1.0 + 0.2 * 
                     pow(par1, 0.5)) / pow((1.0 - 0.2 * 
                     pow(par1, 0.5)), 2.0) / pow(par1, 0.5) * V) / 
                     (1.0 + 0.2 * pow(par1, 0.5)) * (1.0 - 0.2 * 
                     pow(par1,0.5));
                     
                     // dV = -dV/dx * Fx
                     dV      = -1.0 / J22 * Fx;
                     dtheta  = 0.0;
                     theta   = M_PI / 2.0;
                 }
                 else
                 {
                     J22 = 3125.0 / VV * cos(theta) / pow(par1, 2.5) * 
                     pow((1.0 - ss), 0.5) - 3125.0 / VV * ss / 
                     pow(par1, 2.5) / pow((1.0 - ss), 0.5) * cos(theta);
                     
                     det = -1.0 / (J11 * J22 - J12 * J21);
                     
                     // [dV dtheta]' = -[invJ]*[Fx Fy]'
                     dV     = det * ( J22 * Fx - J12 * Fy);
                     dtheta = det * (-J21 * Fx + J11 * Fy);
                 }
                 
                 V     = V + dV;
                 theta = theta + dtheta;
                 
                 errV     = abs(dV);
                 errTheta = abs(dtheta);
                 
             }
             
             c = sqrt(1.0 - gamma_1_2 * VV);
             r = pow(c, 1.0 / gamma_1_2);
             
             rho[i]  = r;
             rhou[i] = rho[i] * V * cos(theta);
             rhov[i] = rho[i] * V * sin(theta);
             P       = (c * c) * rho[i] / gamma;
             E[i]    = P / (gamma - 1.0) + 0.5 * 
             (rhou[i] * rhou[i] / rho[i] + rhov[i] * rhov[i] / rho[i]);
             
             // Resetting the guess value
             errV     = 1.0;
             errTheta = 1.0;
             theta    = M_PI/4.0;
             V        = kExt*sin(theta);
         }
         
         switch (field)
         {
             case 0:
                 outarray = rho;
                 break;
             case 1:
                 outarray = rhou;
                 break;
             case 2:
                 outarray = rhov;
                 break;
             case 3:
                 outarray = E;
                 break;
             default:
                 ASSERTL0(false, "Error in variable number!");
                 break;
         }
     }

◆ v_EvaluateExactSolution()

void Nektar::RinglebFlow::v_EvaluateExactSolution	(	unsigned int	field,
		Array< OneD, NekDouble > &	outfield,
		const NekDouble	time = `0.0`
	)

protectedvirtual

Get the exact solutions for isentropic vortex and Ringleb flow problems.

Reimplemented from Nektar::SolverUtils::EquationSystem.

Definition at line 76 of file RinglebFlow.cpp.

References GetExactRinglebFlow().

     {
         boost::ignore_unused(time);
         GetExactRinglebFlow( field, outfield);
     }

◆ v_GenerateSummary()

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

protectedvirtual

Print a summary of time stepping parameters.

Print out a summary with some relevant information.

Reimplemented from Nektar::SolverUtils::UnsteadySystem.

Definition at line 66 of file RinglebFlow.cpp.

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

     {
         CompressibleFlowSystem::v_GenerateSummary(s);
         SolverUtils::AddSummaryItem(s, "Problem Type", "RinglebFlow");
     }

Friends And Related Function Documentation

◆ MemoryManager< RinglebFlow >

friend class MemoryManager< RinglebFlow >

friend

Definition at line 46 of file RinglebFlow.h.

Member Data Documentation

◆ className

string Nektar::RinglebFlow::className

static

Initial value:

= 
    SolverUtils::GetEquationSystemFactory().RegisterCreatorFunction(
        "RinglebFlow", RinglebFlow::create, 
        "Euler equations for Ringleb flow.")

Name of class.

Definition at line 59 of file RinglebFlow.h.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Private Member Functions

Friends

Additional Inherited Members