Nektar::AUSM3Solver Class Reference

#include <AUSM3Solver.h>

Inheritance diagram for Nektar::AUSM3Solver:

Static Public Member Functions
static RiemannSolverSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession)

Static Public Attributes
static std::string	solverName

Protected Member Functions
	AUSM3Solver (const LibUtilities::SessionReaderSharedPtr &pSession)
virtual void	v_PointSolve (double rhoL, double rhouL, double rhovL, double rhowL, double EL, double rhoR, double rhouR, double rhovR, double rhowR, double ER, double &rhof, double &rhouf, double &rhovf, double &rhowf, double &Ef) override
	AUSM3 Riemann solver. More...
double	M1Function (int A, double M)
double	M2Function (int A, double M)
double	M4Function (int A, double beta, double M)
double	P5Function (int A, double alpha, double M)
Protected Member Functions inherited from Nektar::CompressibleSolver
	CompressibleSolver (const LibUtilities::SessionReaderSharedPtr &pSession)
	Session ctor. More...
	CompressibleSolver ()
	Programmatic ctor. More...
virtual void	v_Solve (const int nDim, const Array< OneD, const Array< OneD, ND >> &Fwd, const Array< OneD, const Array< OneD, ND >> &Bwd, Array< OneD, Array< OneD, ND >> &flux) override
virtual void	v_ArraySolve (const Array< OneD, const Array< OneD, ND >> &Fwd, const Array< OneD, const Array< OneD, ND >> &Bwd, Array< OneD, Array< OneD, ND >> &flux)
ND	GetRoeSoundSpeed (ND rhoL, ND pL, ND eL, ND HL, ND srL, ND rhoR, ND pR, ND eR, ND HR, ND srR, ND HRoe, ND URoe2, ND srLR)
Protected Member Functions inherited from Nektar::SolverUtils::RiemannSolver
SOLVER_UTILS_EXPORT	RiemannSolver ()
SOLVER_UTILS_EXPORT	RiemannSolver (const LibUtilities::SessionReaderSharedPtr &pSession)
virtual SOLVER_UTILS_EXPORT	~RiemannSolver ()
SOLVER_UTILS_EXPORT void	GenerateRotationMatrices (const Array< OneD, const Array< OneD, NekDouble >> &normals)
	Generate rotation matrices for 3D expansions. More...
void	FromToRotation (Array< OneD, const NekDouble > &from, Array< OneD, const NekDouble > &to, NekDouble *mat)
	A function for creating a rotation matrix that rotates a vector from into another vector to. More...
SOLVER_UTILS_EXPORT void	rotateToNormal (const Array< OneD, const Array< OneD, NekDouble >> &inarray, const Array< OneD, const Array< OneD, NekDouble >> &normals, const Array< OneD, const Array< OneD, NekDouble >> &vecLocs, Array< OneD, Array< OneD, NekDouble >> &outarray)
	Rotate a vector field to trace normal. More...
SOLVER_UTILS_EXPORT void	rotateFromNormal (const Array< OneD, const Array< OneD, NekDouble >> &inarray, const Array< OneD, const Array< OneD, NekDouble >> &normals, const Array< OneD, const Array< OneD, NekDouble >> &vecLocs, Array< OneD, Array< OneD, NekDouble >> &outarray)
	Rotate a vector field from trace normal. More...
SOLVER_UTILS_EXPORT bool	CheckScalars (std::string name)
	Determine whether a scalar has been defined in m_scalars. More...
SOLVER_UTILS_EXPORT bool	CheckVectors (std::string name)
	Determine whether a vector has been defined in m_vectors. More...
SOLVER_UTILS_EXPORT bool	CheckParams (std::string name)
	Determine whether a parameter has been defined in m_params. More...
SOLVER_UTILS_EXPORT bool	CheckAuxScal (std::string name)
	Determine whether a scalar has been defined in m_auxScal. More...
SOLVER_UTILS_EXPORT bool	CheckAuxVec (std::string name)
	Determine whether a vector has been defined in m_auxVec. More...
virtual SOLVER_UTILS_EXPORT void	v_CalcFluxJacobian (const int nDim, const Array< OneD, const Array< OneD, NekDouble >> &Fwd, const Array< OneD, const Array< OneD, NekDouble >> &Bwd, const Array< OneD, const Array< OneD, NekDouble >> &normals, DNekBlkMatSharedPtr &FJac, DNekBlkMatSharedPtr &BJac)

Additional Inherited Members
Public Member Functions inherited from Nektar::SolverUtils::RiemannSolver
SOLVER_UTILS_EXPORT void	Solve (const int nDim, const Array< OneD, const Array< OneD, NekDouble >> &Fwd, const Array< OneD, const Array< OneD, NekDouble >> &Bwd, Array< OneD, Array< OneD, NekDouble >> &flux)
	Perform the Riemann solve given the forwards and backwards spaces. More...
template<typename FuncPointerT , typename ObjectPointerT >
void	SetScalar (std::string name, FuncPointerT func, ObjectPointerT obj)
void	SetScalar (std::string name, RSScalarFuncType fp)
template<typename FuncPointerT , typename ObjectPointerT >
void	SetVector (std::string name, FuncPointerT func, ObjectPointerT obj)
void	SetVector (std::string name, RSVecFuncType fp)
template<typename FuncPointerT , typename ObjectPointerT >
void	SetParam (std::string name, FuncPointerT func, ObjectPointerT obj)
void	SetParam (std::string name, RSParamFuncType fp)
template<typename FuncPointerT , typename ObjectPointerT >
void	SetAuxScal (std::string name, FuncPointerT func, ObjectPointerT obj)
template<typename FuncPointerT , typename ObjectPointerT >
void	SetAuxVec (std::string name, FuncPointerT func, ObjectPointerT obj)
void	SetAuxVec (std::string name, RSVecFuncType fp)
std::map< std::string, RSScalarFuncType > &	GetScalars ()
std::map< std::string, RSVecFuncType > &	GetVectors ()
std::map< std::string, RSParamFuncType > &	GetParams ()
SOLVER_UTILS_EXPORT void	CalcFluxJacobian (const int nDim, const Array< OneD, const Array< OneD, NekDouble >> &Fwd, const Array< OneD, const Array< OneD, NekDouble >> &Bwd, DNekBlkMatSharedPtr &FJac, DNekBlkMatSharedPtr &BJac)
	Calculate the flux jacobian of Fwd and Bwd. More...
Public Attributes inherited from Nektar::SolverUtils::RiemannSolver
int	m_spacedim
Protected Types inherited from Nektar::CompressibleSolver
using	ND = NekDouble
Protected Attributes inherited from Nektar::CompressibleSolver
bool	m_pointSolve
EquationOfStateSharedPtr	m_eos
bool	m_idealGas
Protected Attributes inherited from Nektar::SolverUtils::RiemannSolver
bool	m_requiresRotation
	Indicates whether the Riemann solver requires a rotation to be applied to the velocity fields. More...
std::map< std::string, RSScalarFuncType >	m_scalars
	Map of scalar function types. More...
std::map< std::string, RSVecFuncType >	m_vectors
	Map of vector function types. More...
std::map< std::string, RSParamFuncType >	m_params
	Map of parameter function types. More...
std::map< std::string, RSScalarFuncType >	m_auxScal
	Map of auxiliary scalar function types. More...
std::map< std::string, RSVecFuncType >	m_auxVec
	Map of auxiliary vector function types. More...
Array< OneD, Array< OneD, NekDouble > >	m_rotMat
	Rotation matrices for each trace quadrature point. More...
Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_rotStorage
	Rotation storage. More...

Detailed Description

Definition at line 42 of file AUSM3Solver.h.

Constructor & Destructor Documentation

AUSM3Solver()

Nektar::AUSM3Solver::AUSM3Solver ( const LibUtilities::SessionReaderSharedPtr &  pSession )

protected

Definition at line 43 of file AUSM3Solver.cpp.

    : CompressibleSolver(pSession)
{
}

Referenced by create().

Member Function Documentation

create()

static RiemannSolverSharedPtr Nektar::AUSM3Solver::create ( const LibUtilities::SessionReaderSharedPtr &  pSession )

inlinestatic

Definition at line 45 of file AUSM3Solver.h.

    {
        return RiemannSolverSharedPtr(new AUSM3Solver(pSession));
    }

References AUSM3Solver().

M1Function()

double Nektar::AUSM3Solver::M1Function ( int  A, double  M  )

protected

Definition at line 139 of file AUSM3Solver.cpp.

{
    double out;
 
    if (A == 0)
    {
        out = 0.5 * (M + fabs(M));
    }
    else
    {
        out = 0.5 * (M - fabs(M));
    }
 
    return out;
}

Referenced by M4Function(), and P5Function().

M2Function()

double Nektar::AUSM3Solver::M2Function ( int  A, double  M  )

protected

Definition at line 155 of file AUSM3Solver.cpp.

{
    double out;
 
    if (A == 0)
    {
        out = 0.25 * (M + 1.0) * (M + 1.0);
    }
    else
    {
        out = -0.25 * (M - 1.0) * (M - 1.0);
    }
 
    return out;
}

Referenced by M4Function(), and P5Function().

M4Function()

double Nektar::AUSM3Solver::M4Function ( int  A, double  beta, double  M  )

protected

Definition at line 171 of file AUSM3Solver.cpp.

{
    double out;
 
    if (fabs(M) >= 1.0)
    {
        out = M1Function(A, M);
    }
    else
    {
        out = M2Function(A, M);
 
        if (A == 0)
        {
            out *= 1.0 - 16.0 * beta * M2Function(1, M);
        }
        else
        {
            out *= 1.0 + 16.0 * beta * M2Function(0, M);
        }
    }
 
    return out;
}

References Nektar::LibUtilities::beta, M1Function(), and M2Function().

Referenced by v_PointSolve().

P5Function()

double Nektar::AUSM3Solver::P5Function ( int  A, double  alpha, double  M  )

protected

Definition at line 196 of file AUSM3Solver.cpp.

{
    double out;
 
    if (fabs(M) >= 1.0)
    {
        out = (1.0 / M) * M1Function(A, M);
    }
    else
    {
        out = M2Function(A, M);
 
        if (A == 0)
        {
            out *= (2.0 - M) - 16.0 * alpha * M * M2Function(1, M);
        }
        else
        {
            out *= (-2.0 - M) + 16.0 * alpha * M * M2Function(0, M);
        }
    }
 
    return out;
}

References M1Function(), and M2Function().

Referenced by v_PointSolve().

v_PointSolve()

void Nektar::AUSM3Solver::v_PointSolve ( double  rhoL, double  rhouL, double  rhovL, double  rhowL, double  EL, double  rhoR, double  rhouR, double  rhovR, double  rhowR, double  ER, double &  rhof, double &  rhouf, double &  rhovf, double &  rhowf, double &  Ef  )

overrideprotectedvirtual

AUSM3 Riemann solver.

Parameters

rhoL	Density left state.
rhoR	Density right state.
rhouL	x-momentum component left state.
rhouR	x-momentum component right state.
rhovL	y-momentum component left state.
rhovR	y-momentum component right state.
rhowL	z-momentum component left state.
rhowR	z-momentum component right state.
EL	Energy left state.
ER	Energy right state.
rhof	Computed Riemann flux for density.
rhouf	Computed Riemann flux for x-momentum component
rhovf	Computed Riemann flux for y-momentum component
rhowf	Computed Riemann flux for z-momentum component
Ef	Computed Riemann flux for energy.

Reimplemented from Nektar::CompressibleSolver.

Definition at line 67 of file AUSM3Solver.cpp.

{
    // Left and Right velocities
    NekDouble uL = rhouL / rhoL;
    NekDouble vL = rhovL / rhoL;
    NekDouble wL = rhowL / rhoL;
    NekDouble uR = rhouR / rhoR;
    NekDouble vR = rhovR / rhoR;
    NekDouble wR = rhowR / rhoR;
 
    // Internal energy (per unit mass)
    NekDouble eL = (EL - 0.5 * (rhouL * uL + rhovL * vL + rhowL * wL)) / rhoL;
    NekDouble eR = (ER - 0.5 * (rhouR * uR + rhovR * vR + rhowR * wR)) / rhoR;
    // Pressure
    NekDouble pL = m_eos->GetPressure(rhoL, eL);
    NekDouble pR = m_eos->GetPressure(rhoR, eR);
    // Speed of sound
    NekDouble cL = m_eos->GetSoundSpeed(rhoL, eL);
    NekDouble cR = m_eos->GetSoundSpeed(rhoR, eR);
 
    // Average speeds of sound
    NekDouble cA = 0.5 * (cL + cR);
 
    // Local Mach numbers
    NekDouble ML = uL / cA;
    NekDouble MR = uR / cA;
 
    // Parameters for specify the upwinding
    // Note: if fa = 1 then AUSM3 = AUSM3
    NekDouble Mco    = 0.01;
    NekDouble Mtilde = 0.5 * (ML * ML + MR * MR);
    NekDouble Mo     = std::min(1.0, std::max(Mtilde, Mco * Mco));
    NekDouble fa     = Mo * (2.0 - Mo);
    NekDouble beta   = 0.125;
    NekDouble alpha  = 0.1875;
    NekDouble sigma  = 1.0;
    NekDouble Kp     = 0.25;
    NekDouble Ku     = 0.75;
    NekDouble rhoA   = 0.5 * (rhoL + rhoR);
    NekDouble Mp     = -(Kp / fa) * ((pR - pL) / (rhoA * cA * cA)) *
                   std::max(1.0 - sigma * Mtilde, 0.0);
 
    NekDouble Mbar = M4Function(0, beta, ML) + M4Function(1, beta, MR) + Mp;
 
    NekDouble pu = -2.0 * Ku * rhoA * cA * cA * (MR - ML) *
                   P5Function(0, alpha, ML) * P5Function(1, alpha, MR);
 
    NekDouble pbar =
        pL * P5Function(0, alpha, ML) + pR * P5Function(1, alpha, MR) + pu;
 
    if (Mbar >= 0.0)
    {
        rhof  = cA * Mbar * rhoL;
        rhouf = cA * Mbar * rhoL * uL + pbar;
        rhovf = cA * Mbar * rhoL * vL;
        rhowf = cA * Mbar * rhoL * wL;
        Ef    = cA * Mbar * (EL + pL);
    }
    else
    {
        rhof  = cA * Mbar * rhoR;
        rhouf = cA * Mbar * rhoR * uR + pbar;
        rhovf = cA * Mbar * rhoR * vR;
        rhowf = cA * Mbar * rhoR * wR;
        Ef    = cA * Mbar * (ER + pR);
    }
}

References Nektar::LibUtilities::beta, M4Function(), Nektar::CompressibleSolver::m_eos, and P5Function().

Member Data Documentation

solverName

std::string Nektar::AUSM3Solver::solverName

static

Initial value:

=
    SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
        "AUSM3", AUSM3Solver::create, "AUSM3 Riemann solver")

Definition at line 51 of file AUSM3Solver.h.