#include <RoeSolver.h>

Inheritance diagram for Nektar::RoeSolver:

Collaboration diagram for Nektar::RoeSolver:

Static Public Member Functions
static RiemannSolverSharedPtr	create ()

Static Public Attributes
static std::string	solverName

Protected Member Functions
	RoeSolver ()

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)
	Roe Riemann solver. More...

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. 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...

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)

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

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 43 of file RoeSolver.h.

Constructor & Destructor Documentation

Nektar::RoeSolver::RoeSolver ( )

protected

Definition at line 46 of file RoeSolver.cpp.

Referenced by create().

                          : CompressibleSolver()
     {
 
     }

Member Function Documentation

static RiemannSolverSharedPtr Nektar::RoeSolver::create ( )

inlinestatic

Definition at line 46 of file RoeSolver.h.

References RoeSolver().

         {
             return RiemannSolverSharedPtr(
                 new RoeSolver());
         }

void Nektar::RoeSolver::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

Roe Riemann solver.

Stated equations numbers are from:

"Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction", E. F. Toro (3rd edition, 2009).

We follow the algorithm prescribed following equation 11.70.

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 77 of file RoeSolver.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 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 enthalpy
         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, enthalpy and sound speed Roe averages (equation 11.60).
         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 URoe   = (uRoe * uRoe + vRoe * vRoe + wRoe * wRoe);
         NekDouble cRoe   = sqrt((gamma - 1.0)*(hRoe - 0.5 * URoe));
         
         // Compute eigenvectors (equation 11.59).
         NekDouble k[5][5] = {
             {1, uRoe - cRoe, vRoe, wRoe, hRoe - uRoe * cRoe},
             {1, uRoe,        vRoe, wRoe, 0.5 * URoe},
             {0, 0,           1,    0,    vRoe},
             {0, 0,           0,    1,    wRoe},
             {1, uRoe+cRoe,  vRoe,  wRoe, hRoe + uRoe*cRoe}
         };
 
         // Calculate jumps \Delta u_i (defined preceding equation 11.67).
         NekDouble jump[5] = {
             rhoR  - rhoL,
             rhouR - rhouL,
             rhovR - rhovL,
             rhowR - rhowL,
             ER    - EL
         };
 
         // Define \Delta u_5 (equation 11.70).
         NekDouble jumpbar = jump[4] - (jump[2]-vRoe*jump[0])*vRoe -
             (jump[3]-wRoe*jump[0])*wRoe;
         
         // Compute wave amplitudes (equations 11.68, 11.69).
         NekDouble alpha[5];
         alpha[1] = (gamma-1.0)*(jump[0]*(hRoe - uRoe*uRoe) + uRoe*jump[1] -
                                 jumpbar)/(cRoe*cRoe);
         alpha[0] = (jump[0]*(uRoe + cRoe) - jump[1] - cRoe*alpha[1])/(2.0*cRoe);
         alpha[4] = jump[0] - (alpha[0] + alpha[1]);
         alpha[2] = jump[2] - vRoe * jump[0];
         alpha[3] = jump[3] - wRoe * jump[0];
         
         // Compute average of left and right fluxes needed for equation 11.29.
         rhof  = 0.5*(rhoL*uL + rhoR*uR);
         rhouf = 0.5*(pL + rhoL*uL*uL + pR + rhoR*uR*uR);
         rhovf = 0.5*(rhoL*uL*vL + rhoR*uR*vR);
         rhowf = 0.5*(rhoL*uL*wL + rhoR*uR*wR);
         Ef    = 0.5*(uL*(EL + pL) + uR*(ER + pR));
 
         // Compute eigenvalues \lambda_i (equation 11.58).
         NekDouble uRoeAbs = fabs(uRoe);
         NekDouble lambda[5] = { 
             fabs(uRoe - cRoe),
             uRoeAbs,
             uRoeAbs,
             uRoeAbs,
             fabs(uRoe + cRoe)
         };
 
         // Finally perform summation (11.29).
         for (int i = 0; i < 5; ++i)
         {
             NekDouble ahat = 0.5*alpha[i]*lambda[i];
             rhof  -= ahat*k[i][0];
             rhouf -= ahat*k[i][1];
             rhovf -= ahat*k[i][2];
             rhowf -= ahat*k[i][3];
             Ef    -= ahat*k[i][4];
         }
     }

Member Data Documentation

std::string Nektar::RoeSolver::solverName

static

Initial value:

=
        SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
            "Roe",
            RoeSolver::create,
            "Roe Riemann solver")

Definition at line 52 of file RoeSolver.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