Nektar::LaxFriedrichsSolver Class Reference

#include <LaxFriedrichsSolver.h>

Inheritance diagram for Nektar::LaxFriedrichsSolver:

Collaboration diagram for Nektar::LaxFriedrichsSolver:

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

Static Public Attributes
static std::string	solverName

Protected Member Functions
	LaxFriedrichsSolver ()
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)
	Lax-Friedrichs 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)
	LaxFriedrichsSolver ()
virtual void	v_PointSolve (double hL, double huL, double hvL, double hR, double huR, double hvR, double &hf, double &huf, double &hvf)
	Lax-Friedrichs Riemann solver.
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/LaxFriedrichsSolver.h.

Constructor & Destructor Documentation

Nektar::LaxFriedrichsSolver::LaxFriedrichsSolver ( )

protected

Definition at line 45 of file CompressibleFlowSolver/RiemannSolvers/LaxFriedrichsSolver.cpp.

Referenced by create().

                                             : CompressibleSolver()
    {
        
    }

Nektar::LaxFriedrichsSolver::LaxFriedrichsSolver ( )

protected

Member Function Documentation

static RiemannSolverSharedPtr Nektar::LaxFriedrichsSolver::create ( )

inlinestatic

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

References LaxFriedrichsSolver().

        {
            return RiemannSolverSharedPtr(new LaxFriedrichsSolver());
        }

static RiemannSolverSharedPtr Nektar::LaxFriedrichsSolver::create ( )

inlinestatic

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

References LaxFriedrichsSolver().

        {
            return RiemannSolverSharedPtr(
                new LaxFriedrichsSolver());
        }

void Nektar::LaxFriedrichsSolver::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

Lax-Friedrichs 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 69 of file CompressibleFlowSolver/RiemannSolvers/LaxFriedrichsSolver.cpp.

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

    {
        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));
        
        // Left and right speeds of sound
        NekDouble cL = sqrt(gamma * pL / rhoL);
        NekDouble cR = sqrt(gamma * pR / rhoR);
        
        // Left and right entalpies
        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)));
        
        // Minimum and maximum wave speeds
        NekDouble S    = std::max(uRoe+cRoe, std::max(uR+cR, -uL+cL));
        NekDouble sign = 1.0;
        
        if(S == -uL+cL)
        {
            sign = -1.0;
        }
        
        // Lax-Friedrichs Riemann rho flux
        rhof  = 0.5 * ((rhouL + rhouR) - sign * S * (rhoR -rhoL));
        
        // Lax-Friedrichs Riemann rhou flux
        rhouf = 0.5 * ((rhoL * uL * uL + pL + rhoR * uR * uR + pR) -
                       sign * S * (rhouR - rhouL));
        
        // Lax-Friedrichs Riemann rhov flux
        rhovf = 0.5 * ((rhoL * uL * vL + rhoR * uR * vR) -
                       sign * S * (rhovR - rhovL));
        
        // Lax-Friedrichs Riemann rhow flux
        rhowf = 0.5 * ((rhoL * uL * wL + rhoR * uR * wR) -
                       sign * S * (rhowR - rhowL));
        
        // Lax-Friedrichs Riemann E flux
        Ef    = 0.5 * ((uL * (EL + pL) + uR * (ER + pR)) -
                       sign * S * (ER - EL));
    }

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

protectedvirtual

Lax-Friedrichs Riemann solver.

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/LaxFriedrichsSolver.cpp.

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

    {        
        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);
        
          // Square root of hL and hR.
        NekDouble srL  = sqrt(hL);
        NekDouble srR  = sqrt(hR);
        NekDouble srLR = srL + srR;
        
        // Velocity Roe averages
        NekDouble uRoe   = (srL * uL + srR * uR) / srLR;
    NekDouble cRoe   = sqrt(0.5 * (cL * cL + cR * cR));
        
        // Minimum and maximum wave speeds
        NekDouble S    = std::max(uRoe+cRoe, std::max(uR+cR, -(uL-cL)));
        NekDouble sign = 1.0;
        
        if(S == -(uL-cL))
        {
            sign = -1.0;
        }
        
        // Lax-Friedrichs Riemann h flux
        hf  = 0.5 * ((huL + huR) - sign * S * (hR -hL));
        
        // Lax-Friedrichs Riemann hu flux
        huf = 0.5 * ((hL * uL * uL + 0.5 * g * hL * hL  + 
              hR * uR * uR + 0.5 * g * hR * hR) - 
                       sign * S * (huR - huL));
        
        // Lax-Friedrichs Riemann hv flux
        hvf = 0.5 * ((hL * uL * vL + hR * uR * vR) - 
                        sign * S * (hvR - hvL));
        
    }

void Nektar::LaxFriedrichsSolver::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 141 of file CompressibleFlowSolver/RiemannSolvers/LaxFriedrichsSolver.cpp.

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

    {
        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));
        
        // Left and right speeds of sound
        NekDouble cL = sqrt(gamma * pL / rhoL);
        NekDouble cR = sqrt(gamma * pR / rhoR);
        
        // Left and right entalpies
        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)));
        
        // Minimum and maximum wave speeds
        NekDouble S    = std::max(uRoe+cRoe, std::max(uR+cR, -uL+cL));
        NekDouble sign = 1.0;
        
        if(S == -uL+cL)
        {
            sign = -1.0;
        }
        
        // Lax-Friedrichs Riemann rho flux
        rhof  = 0.5 * ((rhouL + rhouR) - sign * S * (rhoR -rhoL));
        
        // Lax-Friedrichs Riemann rhou flux
        rhouf = 0.5 * ((rhoL * uL * uL + pL + rhoR * uR * uR + pR) -
                       sign * S * (rhouR - rhouL));
        
        // Lax-Friedrichs Riemann rhov flux
        rhovf = 0.5 * ((rhoL * uL * vL + rhoR * uR * vR) -
                       sign * S * (rhovR - rhovL));
        
        // Lax-Friedrichs Riemann rhow flux
        rhowf = 0.5 * ((rhoL * uL * wL + rhoR * uR * wR) -
                       sign * S * (rhowR - rhowL));
        
        // Lax-Friedrichs Riemann E flux
        Ef    = 0.5 * ((uL * (EL + pL) + uR * (ER + pR)) -
                       sign * S * (ER - EL));
        
        Epsf  = 0.5 * ((EpsL + EpsR) -
                       sign * S * (EpsR - EpsL));
    }

Member Data Documentation

static std::string Nektar::LaxFriedrichsSolver::solverName

static

Initial value:

        SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
            "LaxFriedrichs", LaxFriedrichsSolver::create,
            "Lax-Friedrichs Riemann solver")

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