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Nektar::LaxFriedrichsSolver Class Reference

#include <LaxFriedrichsSolver.h>

Inheritance diagram for Nektar::LaxFriedrichsSolver:
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Collaboration diagram for Nektar::LaxFriedrichsSolver:
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Static Public Member Functions

static RiemannSolverSharedPtr create ()
static RiemannSolverSharedPtr create ()
static RiemannSolverSharedPtr create ()

Static Public Attributes

static std::string solverName

Protected Member Functions

 LaxFriedrichsSolver ()
virtual void v_PointSolve (NekDouble pL, NekDouble uL, NekDouble vL, NekDouble wL, NekDouble pR, NekDouble uR, NekDouble vR, NekDouble wR, NekDouble p0, NekDouble u0, NekDouble v0, NekDouble w0, NekDouble &pF, NekDouble &uF, NekDouble &vF, NekDouble &wF)
 Lax-Friedrichs Riemann solver.
 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.
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.
- 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)
- Protected Member Functions inherited from Nektar::APESolver
 APESolver ()
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)
Array< OneD, Array< OneD,
NekDouble > > 		GetRotBasefield ()

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
- 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.
std::map< std::string,
RSScalarFuncType > 		m_scalars
 Map of scalar function types.
std::map< std::string,
RSVecFuncType > 		m_vectors
 Map of vector function types.
std::map< std::string,
RSParamFuncType > 		m_params
 Map of parameter function types.
std::map< std::string,
RSScalarFuncType > 		m_auxScal
 Map of auxiliary scalar function types.
std::map< std::string,
RSVecFuncType > 		m_auxVec
 Map of auxiliary vector function types.
Array< OneD, Array< OneD,
NekDouble > > 		m_rotMat
 Rotation matrices for each trace quadrature point.
Array< OneD, Array< OneD,
Array< OneD, NekDouble > > > 		m_rotStorage
 Rotation storage.

Detailed Description

Definition at line 48 of file APESolver/RiemannSolvers/LaxFriedrichsSolver.h.

Constructor & Destructor Documentation

Nektar::LaxFriedrichsSolver::LaxFriedrichsSolver ( )
protected

Definition at line 51 of file APESolver/RiemannSolvers/LaxFriedrichsSolver.cpp.

Referenced by create().

:
APESolver()
{
}
Nektar::LaxFriedrichsSolver::LaxFriedrichsSolver ( )
protected
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());
}
static RiemannSolverSharedPtr Nektar::LaxFriedrichsSolver::create ( )
inlinestatic

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

{
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
rhoLDensity left state.
rhoRDensity right state.
rhouLx-momentum component left state.
rhouRx-momentum component right state.
rhovLy-momentum component left state.
rhovRy-momentum component right state.
rhowLz-momentum component left state.
rhowRz-momentum component right state.
ELEnergy left state.
EREnergy right state.
rhofComputed Riemann flux for density.
rhoufComputed Riemann flux for x-momentum component
rhovfComputed Riemann flux for y-momentum component
rhowfComputed Riemann flux for z-momentum component
EfComputed 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
hLWater depth left state.
hRWater depth right state.
huLx-momentum component left state.
huRx-momentum component right state.
hvLy-momentum component left state.
hvRy-momentum component right state.
hfComputed Riemann flux for density.
hufComputed Riemann flux for x-momentum component
hvfComputed 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_PointSolve ( NekDouble  pL,
NekDouble  uL,
NekDouble  vL,
NekDouble  wL,
NekDouble  pR,
NekDouble  uR,
NekDouble  vR,
NekDouble  wR,
NekDouble  p0,
NekDouble  u0,
NekDouble  v0,
NekDouble  w0,
NekDouble &  pF,
NekDouble &  uF,
NekDouble &  vF,
NekDouble &  wF 
)
protectedvirtual

Lax-Friedrichs Riemann solver.

Parameters
pLPerturbation pressure left state.
pRPerturbation pressure right state.
uLx perturbation verlocity component left state.
uRx perturbation verlocity component right state.
vLy perturbation verlocity component left state.
vRy perturbation verlocity component right state.
wLz perturbation verlocity component left state.
wRz perturbation verlocity component right state.
p0Base pressure.
u0Base x verlocity component
v0Base y verlocity component
w0Base z verlocity component
pFComputed Riemann flux for perturbation pressure.
uFComputed Riemann flux for x perturbation verlocity component
vFComputed Riemann flux for y perturbation verlocity component
wFComputed Riemann flux for z perturbation verlocity component

Reimplemented from Nektar::APESolver.

Definition at line 77 of file APESolver/RiemannSolvers/LaxFriedrichsSolver.cpp.

References ASSERTL1, Nektar::SolverUtils::RiemannSolver::CheckParams(), and Nektar::SolverUtils::RiemannSolver::m_params.

{
ASSERTL1(CheckParams("Gamma"), "Gamma not defined.");
ASSERTL1(CheckParams("Rho"), "Rho not defined.");
const NekDouble &gamma= m_params["Gamma"]();
const NekDouble &rho = m_params["Rho"]();
// Speed of sound
NekDouble c = sqrt(gamma*p0/rho);
// max absolute eigenvalue of the jacobian of F_n1
NekDouble a_1_max = std::max(std::abs(u0 - c), std::abs(u0 + c));
NekDouble pFL = gamma*p0*uL + pL*u0;
NekDouble uFL = pL/rho + u0*uL + v0*vL + w0*wL;
NekDouble vFL = 0;
NekDouble wFL = 0;
NekDouble pFR = gamma*p0*uR + pR*u0;
NekDouble uFR = pR/rho + u0*uR + v0*vR + w0*wR;
NekDouble vFR = 0;
NekDouble wFR = 0;
// assemble the face-normal fluxes
pF = 0.5*(pFL + pFR - a_1_max*(pR - pL));
uF = 0.5*(uFL + uFR - a_1_max*(uR - uL));
vF = 0.5*(vFL + vFR - a_1_max*(vR - vL));
wF = 0.5*(wFL + wFR - a_1_max*(wR - wL));
}
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 Solver")

Definition at line 56 of file APESolver/RiemannSolvers/LaxFriedrichsSolver.h.

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