Nektar::HLLCSolver Class Reference

#include <HLLCSolver.h>

Inheritance diagram for Nektar::HLLCSolver:

Collaboration diagram for Nektar::HLLCSolver:

Static Public Member Functions
static RiemannSolverSharedPtr	create ()
static RiemannSolverSharedPtr	create ()

Static Public Attributes
static std::string	solverName

Protected Member Functions
	HLLCSolver ()
virtual void	v_PointSolve (NekDouble rhoL, NekDouble rhouL, NekDouble rhovL, NekDouble rhowL, NekDouble EL, NekDouble rhoR, NekDouble rhouR, NekDouble rhovR, NekDouble rhowR, NekDouble ER, NekDouble &rhof, NekDouble &rhouf, NekDouble &rhovf, NekDouble &rhowf, NekDouble &Ef)
	HLLC Riemann solver.
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)
	HLLCSolver ()
virtual void	v_PointSolve (double hL, double huL, double hvL, double hR, double huR, double hvR, double &hf, double &huf, double &hvf)
	HLLC Riemann solver for the Nonlinear Shallow Water Equations.
Protected Member Functions inherited from Nektar::NonlinearSWESolver
	NonlinearSWESolver ()
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)
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.
bool	CheckScalars (std::string name)
	Determine whether a scalar has been defined in m_scalars.
bool	CheckVectors (std::string name)
	Determine whether a vector has been defined in m_vectors.
bool	CheckParams (std::string name)
	Determine whether a parameter has been defined in m_params.
bool	CheckAuxScal (std::string name)
	Determine whether a scalar has been defined in m_auxScal.
bool	CheckAuxVec (std::string name)
	Determine whether a vector has been defined in m_auxVec.
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)

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::NonlinearSWESolver
bool	m_pointSolve
Protected Attributes inherited from Nektar::CompressibleSolver
bool	m_pointSolve

Detailed Description

Definition at line 43 of file CompressibleFlowSolver/RiemannSolvers/HLLCSolver.h.

Constructor & Destructor Documentation

Nektar::HLLCSolver::HLLCSolver ( )

protected

Definition at line 44 of file CompressibleFlowSolver/RiemannSolvers/HLLCSolver.cpp.

Referenced by create().

                           : CompressibleSolver()
    {
        
    }

Nektar::HLLCSolver::HLLCSolver ( )

protected

Member Function Documentation

static RiemannSolverSharedPtr Nektar::HLLCSolver::create ( )

inlinestatic

Definition at line 46 of file CompressibleFlowSolver/RiemannSolvers/HLLCSolver.h.

References HLLCSolver().

        {
            return RiemannSolverSharedPtr(new HLLCSolver());
        }

static RiemannSolverSharedPtr Nektar::HLLCSolver::create ( )

inlinestatic

Definition at line 46 of file ShallowWaterSolver/RiemannSolvers/HLLCSolver.h.

References HLLCSolver().

        {
            return RiemannSolverSharedPtr(
                new HLLCSolver());
        }

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

protectedvirtual

HLLC 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 68 of file CompressibleFlowSolver/RiemannSolvers/HLLCSolver.cpp.

References Nektar::SolverUtils::RiemannSolver::m_params.

    {
        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 pressure, sound speed and enthalpy.
        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);
        NekDouble hL = (EL + pL) / rhoL;
        NekDouble hR = (ER + pR) / rhoR;
        
        // Square root of rhoL and rhoR.
        NekDouble srL  = sqrt(rhoL);
        NekDouble srR  = sqrt(rhoR);
        NekDouble srLR = srL + srR;
        
        // Velocity Roe averages
        NekDouble uRoe   = (srL * uL + srR * uR) / srLR;
        NekDouble vRoe   = (srL * vL + srR * vR) / srLR;
        NekDouble wRoe   = (srL * wL + srR * wR) / srLR;
        NekDouble hRoe   = (srL * hL + srR * hR) / srLR;
        NekDouble cRoe   = sqrt((gamma - 1.0)*(hRoe - 0.5 *
                                               (uRoe * uRoe + vRoe * vRoe + wRoe * wRoe)));
        
        // Maximum wave speeds
        NekDouble SL = std::min(uL-cL, uRoe-cRoe);
        NekDouble SR = std::max(uR+cR, uRoe+cRoe);
        
        // HLLC Riemann fluxes (positive case)
        if (SL >= 0)
        {
            rhof  = rhouL;
            rhouf = rhouL * uL + pL;
            rhovf = rhouL * vL;
            rhowf = rhouL * wL;
            Ef    = uL * (EL + pL);
        }
        // HLLC Riemann fluxes (negative case)
        else if (SR <= 0)
        {
            rhof  = rhouR;
            rhouf = rhouR * uR + pR;
            rhovf = rhouR * vR;
            rhowf = rhouR * wR;
            Ef    = uR * (ER + pR);
        }
        // HLLC Riemann fluxes (general case (SL < 0 | SR > 0)
        else
        {
            NekDouble SM = (pR - pL + rhouL * (SL - uL) - rhouR * (SR - uR)) /
            (rhoL * (SL - uL) - rhoR * (SR - uR));
            NekDouble rhoML  = rhoL * (SL - uL) / (SL - SM);
            NekDouble rhouML = rhoML * SM;
            NekDouble rhovML = rhoML * vL;
            NekDouble rhowML = rhoML * wL;
            NekDouble EML    = rhoML * (EL / rhoL +
                                        (SM - uL) * (SM + pL / (rhoL * (SL - uL))));
            
            NekDouble rhoMR  = rhoR * (SR - uR) / (SR - SM);
            NekDouble rhouMR = rhoMR * SM;
            NekDouble rhovMR = rhoMR * vR;
            NekDouble rhowMR = rhoMR * wR;
            NekDouble EMR    = rhoMR * (ER / rhoR +
                                        (SM - uR) * (SM + pR / (rhoR * (SR - uR))));
            
            if (SL < 0.0 && SM >= 0.0)
            {
                rhof  = rhouL + SL * (rhoML - rhoL);
                rhouf = rhouL * uL + pL + SL * (rhouML - rhouL);
                rhovf = rhouL * vL + SL * (rhovML - rhovL);
                rhowf = rhouL * wL + SL * (rhowML - rhowL);
                Ef    = uL * (EL + pL) + SL * (EML - EL);
            }
            else if(SM < 0.0 && SR > 0.0)
            {
                rhof  = rhouR + SR * (rhoMR - rhoR);
                rhouf = rhouR * uR + pR + SR * (rhouMR - rhouR);
                rhovf = rhouR * vR + SR * (rhovMR - rhovR);
                rhowf = rhouR * wR + SR * (rhowMR - rhowR);
                Ef    = uR * (ER + pR) + SR * (EMR - ER);
            }
        }
    }

void Nektar::HLLCSolver::v_PointSolve ( double  hL, double  huL, double  hvL, double  hR, double  huR, double  hvR, double &  hf, double &  huf, double &  hvf  )

protectedvirtual

HLLC Riemann solver for the Nonlinear Shallow Water Equations.

Parameters

hL	Water depth left state.
hR	Water depth right state.
huL	x-momentum component left state.
huR	x-momentum component right state.
hvL	y-momentum component left state.
hvR	y-momentum component right state.
hf	Computed Riemann flux for density.
huf	Computed Riemann flux for x-momentum component
hvf	Computed Riemann flux for y-momentum component

Reimplemented from Nektar::NonlinearSWESolver.

Definition at line 64 of file ShallowWaterSolver/RiemannSolvers/HLLCSolver.cpp.

References ASSERTL0, and Nektar::SolverUtils::RiemannSolver::m_params.

    {        
        static NekDouble g = m_params["gravity"]();
        
        // Left and Right velocities
        NekDouble uL = huL / hL;
        NekDouble vL = hvL / hL;
    NekDouble uR = huR / hR;
        NekDouble vR = hvR / hR;
      

        // Left and right wave speeds
    NekDouble cL = sqrt(g * hL);
    NekDouble cR = sqrt(g * hR);
    
    // the two-rarefaction wave assumption
    NekDouble hC,huC,hvC,SL,SR,hstar,ustar,Sstar;
    hstar = 0.5*(cL + cR) + 0.25*(uL - uR);
    hstar *= hstar;
    hstar *= (1.0/g);
    ustar = 0.5*(uL + uR) + cL - cR;

    
    // Compute SL
    if (hstar > hL)
      SL = uL - cL * sqrt(0.5*((hstar*hstar + hstar*hL)/(hL*hL)));
    else
      SL = uL - cL;
    
    // Compute SR
    if (hstar > hR)
      SR = uR + cR * sqrt(0.5*((hstar*hstar + hstar*hR)/(hR*hR)));
    else
      SR = uR + cR;
    
    if (fabs(hR*(uR-SR)-hL*(uL-SL)) <= 1.0e-10)
      Sstar = ustar;
    else
      Sstar = (SL*hR*(uR-SR)-SR*hL*(uL-SL))/(hR*(uR-SR)-hL*(uL-SL));
    
    if (SL >= 0)
      {
        hf  = hL * uL;
        huf  = uL * uL * hL + 0.5 * g * hL * hL;
        hvf  = hL * uL * vL;
      }
    else if (SR <= 0)
      {
        hf  = hR * uR;
        huf  = uR * uR * hR + 0.5 * g * hR * hR;
        hvf  = hR * uR *vR;
      }
    else if ((SL < 0) && (Sstar >= 0))
      {
        hC  = hL * ((SL - uL) / (SL - Sstar));
        huC = hC * Sstar;
        hvC = hC * vL;
        
        hf = hL*uL + SL * (hC - hL);
        huf = (uL*uL*hL+0.5*g*hL*hL) + SL * (huC - hL*uL);
        hvf = (uL*vL*hL) + SL * (hvC - hL*vL);
      }
    else if ((SR > 0) && (Sstar <= 0))
      {
        hC  = hR * ((SR - uR) / (SR - Sstar));
        huC = hC * Sstar;
        hvC = hC * vR;
        
        hf = hR*uR + SR * (hC - hR);
        huf = (uR*uR*hR+0.5*g*hR*hR) + SR * (huC - hR*uR);
        hvf = (uR*vR*hR) + SR * (hvC - hR*vR);
      }
    else
      {
        ASSERTL0(false,"Error in HLLC solver -- non physical combination of SR, SL and Sstar");
      }
    }

void Nektar::HLLCSolver::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  )

protectedvirtual

Reimplemented from Nektar::CompressibleSolver.

Definition at line 166 of file CompressibleFlowSolver/RiemannSolvers/HLLCSolver.cpp.

References Nektar::SolverUtils::RiemannSolver::m_params.

    {
        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 pressure, sound speed and enthalpy.
        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);
        NekDouble hL = (EL + pL) / rhoL;
        NekDouble hR = (ER + pR) / rhoR;
        
        // Square root of rhoL and rhoR.
        NekDouble srL  = sqrt(rhoL);
        NekDouble srR  = sqrt(rhoR);
        NekDouble srLR = srL + srR;
        
        // Velocity Roe averages
        NekDouble uRoe   = (srL * uL + srR * uR) / srLR;
        NekDouble vRoe   = (srL * vL + srR * vR) / srLR;
        NekDouble wRoe   = (srL * wL + srR * wR) / srLR;
        NekDouble hRoe   = (srL * hL + srR * hR) / srLR;
        NekDouble cRoe   = sqrt((gamma - 1.0)*(hRoe - 0.5 *
                            (uRoe * uRoe + vRoe * vRoe + wRoe * wRoe)));
        
        // Maximum wave speeds
        NekDouble SL = std::min(uL-cL, uRoe-cRoe);
        NekDouble SR = std::max(uR+cR, uRoe+cRoe);
        
        // HLLC Riemann fluxes (positive case)
        if (SL >= 0)
        {
            rhof  = rhouL;
            rhouf = rhouL * uL + pL;
            rhovf = rhouL * vL;
            rhowf = rhouL * wL;
            Ef    = uL * (EL + pL);
            Epsf  = 0.0;
        }
        // HLLC Riemann fluxes (negative case)
        else if (SR <= 0)
        {
            rhof  = rhouR;
            rhouf = rhouR * uR + pR;
            rhovf = rhouR * vR;
            rhowf = rhouR * wR;
            Ef    = uR * (ER + pR);
            Epsf  = 0.0;
        }
        // HLLC Riemann fluxes (general case (SL < 0 | SR > 0)
        else
        {
            NekDouble SM = (pR - pL + rhouL * (SL - uL) - rhouR * (SR - uR)) /
            (rhoL * (SL - uL) - rhoR * (SR - uR));
            NekDouble rhoML  = rhoL * (SL - uL) / (SL - SM);
            NekDouble rhouML = rhoML * SM;
            NekDouble rhovML = rhoML * vL;
            NekDouble rhowML = rhoML * wL;
            NekDouble EML    = rhoML * (EL / rhoL +
                                        (SM - uL) * (SM + pL / (rhoL * (SL - uL))));
            NekDouble EpsML  = EpsL * (SL - uL) / (SL - SM);
            
            NekDouble rhoMR  = rhoR * (SR - uR) / (SR - SM);
            NekDouble rhouMR = rhoMR * SM;
            NekDouble rhovMR = rhoMR * vR;
            NekDouble rhowMR = rhoMR * wR;
            NekDouble EMR    = rhoMR * (ER / rhoR +
                                        (SM - uR) * (SM + pR / (rhoR * (SR - uR))));
            NekDouble EpsMR    = EpsR * (SL - uR) / (SL - SM);
            
            if (SL < 0.0 && SM >= 0.0)
            {
                rhof  = rhouL + SL * (rhoML - rhoL);
                rhouf = rhouL * uL + pL + SL * (rhouML - rhouL);
                rhovf = rhouL * vL + SL * (rhovML - rhovL);
                rhowf = rhouL * wL + SL * (rhowML - rhowL);
                Ef    = uL * (EL + pL) + SL * (EML - EL);
                Epsf  = 0.0 + SL * (EpsML - EpsL);
            }
            else if(SM < 0.0 && SR > 0.0)
            {
                rhof  = rhouR + SR * (rhoMR - rhoR);
                rhouf = rhouR * uR + pR + SR * (rhouMR - rhouR);
                rhovf = rhouR * vR + SR * (rhovMR - rhovR);
                rhowf = rhouR * wR + SR * (rhowMR - rhowR);
                Ef    = uR * (ER + pR) + SR * (EMR - ER);
                Epsf  = 0.0 + SR * (EpsMR - EpsR);
            }
        }
    }

Member Data Documentation

static std::string Nektar::HLLCSolver::solverName

static

Initial value:

        SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
            "HLLC", HLLCSolver::create, "HLLC Riemann solver")

Definition at line 51 of file CompressibleFlowSolver/RiemannSolvers/HLLCSolver.h.