#include <AUSM2Solver.h>

Inheritance diagram for Nektar::AUSM2Solver:

Collaboration diagram for Nektar::AUSM2Solver:

Static Public Member Functions
static RiemannSolverSharedPtr	create ()

Static Public Attributes
static std::string	solverName

Protected Member Functions
	AUSM2Solver ()
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)
	AUSM2 Riemann solver.
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 ()
virtual void	v_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)
virtual void	v_ArraySolve (const Array< OneD, const Array< OneD, NekDouble > > &Fwd, const Array< OneD, const Array< OneD, NekDouble > > &Bwd, Array< OneD, Array< OneD, NekDouble > > &flux)
virtual void	v_PointSolveVisc (NekDouble rhoL, NekDouble rhouL, NekDouble rhovL, NekDouble rhowL, NekDouble EL, NekDouble EpsL, NekDouble rhoR, NekDouble rhouR, NekDouble rhovR, NekDouble rhowR, NekDouble ER, NekDouble EpsR, NekDouble &rhof, NekDouble &rhouf, NekDouble &rhovf, NekDouble &rhowf, NekDouble &Ef, NekDouble &Epsf)
Protected Member Functions inherited from Nektar::SolverUtils::RiemannSolver
SOLVER_UTILS_EXPORT	RiemannSolver ()
void	GenerateRotationMatrices (const Array< OneD, const Array< OneD, NekDouble > > &normals)
	Generate rotation matrices for 3D expansions.
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.
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.
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.
SOLVER_UTILS_EXPORT bool	CheckScalars (std::string name)
	Determine whether a scalar has been defined in m_scalars.
SOLVER_UTILS_EXPORT bool	CheckVectors (std::string name)
	Determine whether a vector has been defined in m_vectors.
SOLVER_UTILS_EXPORT bool	CheckParams (std::string name)
	Determine whether a parameter has been defined in m_params.
SOLVER_UTILS_EXPORT bool	CheckAuxScal (std::string name)
	Determine whether a scalar has been defined in m_auxScal.
SOLVER_UTILS_EXPORT bool	CheckAuxVec (std::string name)
	Determine whether a vector has been defined in m_auxVec.

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.
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)
std::map< std::string, RSScalarFuncType > &	GetScalars ()
std::map< std::string, RSVecFuncType > &	GetVectors ()
std::map< std::string, RSParamFuncType > &	GetParams ()
Public Attributes inherited from Nektar::SolverUtils::RiemannSolver
int	m_spacedim
Protected Attributes inherited from Nektar::CompressibleSolver
bool	m_pointSolve

Detailed Description

Definition at line 43 of file AUSM2Solver.h.

Constructor & Destructor Documentation

Nektar::AUSM2Solver::AUSM2Solver ( )

protected

Definition at line 46 of file AUSM2Solver.cpp.

Referenced by create().

                             : CompressibleSolver()
    {
    }

Member Function Documentation

static RiemannSolverSharedPtr Nektar::AUSM2Solver::create ( )

inlinestatic

Definition at line 46 of file AUSM2Solver.h.

References AUSM2Solver().

        {
            return RiemannSolverSharedPtr(
                new AUSM2Solver());
        }

double Nektar::AUSM2Solver::M1Function	(	int	A,
		double	M
	)

protected

Definition at line 138 of file AUSM2Solver.cpp.

Referenced by M4Function(), and P5Function().

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

double Nektar::AUSM2Solver::M2Function	(	int	A,
		double	M
	)

protected

Definition at line 154 of file AUSM2Solver.cpp.

Referenced by M4Function(), and P5Function().

    {
        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;
    }

double Nektar::AUSM2Solver::M4Function	(	int	A,
		double	beta,
		double	M
	)

protected

Definition at line 170 of file AUSM2Solver.cpp.

References M1Function(), and M2Function().

Referenced by v_PointSolve().

    {
        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;
    }

double Nektar::AUSM2Solver::P5Function	(	int	A,
		double	alpha,
		double	M
	)

protected

Definition at line 195 of file AUSM2Solver.cpp.

References M1Function(), and M2Function().

Referenced by v_PointSolve().

    {
        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;
    }

void Nektar::AUSM2Solver::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
	)

protectedvirtual

AUSM2 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 70 of file AUSM2Solver.cpp.

References M4Function(), Nektar::SolverUtils::RiemannSolver::m_params, and P5Function().

    {        
        static NekDouble gamma = m_params["gamma"]();
        
        // 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;
        // Left and right pressures
        NekDouble pL = (gamma - 1.0) *
            (EL - 0.5 * (rhouL * uL + rhovL * vL + rhowL * wL));
        NekDouble pR = (gamma - 1.0) *
            (ER - 0.5 * (rhouR * uR + rhovR * vR + rhowR * wR));
        NekDouble cL = sqrt(gamma * pL / rhoL);
        NekDouble cR = sqrt(gamma * pR / rhoR);
        
        // 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
        NekDouble beta   = 0.125;
        NekDouble alpha  = 0.1875;
        NekDouble sigma  = 1.0;
        NekDouble Kp     = 0.25;
        NekDouble Ku     = 0.75;
        NekDouble Mtilde = 0.5 * (ML * ML + MR * MR);
        NekDouble rhoA   = 0.5 * (rhoL + rhoR);
        NekDouble Mp     = -Kp * ((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);
        }
    }

Member Data Documentation

std::string Nektar::AUSM2Solver::solverName

static

Initial value:

        SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
            "AUSM2",
            AUSM2Solver::create,
            "AUSM2 Riemann solver")

Definition at line 52 of file AUSM2Solver.h.

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation