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Nektar::AUSM1Solver Class Reference

#include <AUSM1Solver.h>

Inheritance diagram for Nektar::AUSM1Solver:
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Collaboration diagram for Nektar::AUSM1Solver:
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Static Public Member Functions

static RiemannSolverSharedPtr create ()
 

Static Public Attributes

static std::string solverName
 

Protected Member Functions

 AUSM1Solver ()
 
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)
 AUSM1 Riemann solver. More...
 
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. 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 AUSM1Solver.h.

Constructor & Destructor Documentation

Nektar::AUSM1Solver::AUSM1Solver ( )
protected

Definition at line 46 of file AUSM1Solver.cpp.

Referenced by create().

47  {
48 
49  }

Member Function Documentation

static RiemannSolverSharedPtr Nektar::AUSM1Solver::create ( )
inlinestatic

Definition at line 46 of file AUSM1Solver.h.

References AUSM1Solver().

47  {
49  new AUSM1Solver());
50  }
boost::shared_ptr< RiemannSolver > RiemannSolverSharedPtr
A shared pointer to an EquationSystem object.
double Nektar::AUSM1Solver::M1Function ( int  A,
double  M 
)
protected

Definition at line 125 of file AUSM1Solver.cpp.

Referenced by M4Function(), and P5Function().

126  {
127  double out;
128 
129  if (A == 0)
130  {
131  out = 0.5 * (M + fabs(M));
132  }
133  else
134  {
135  out = 0.5 * (M - fabs(M));
136  }
137 
138  return out;
139  }
double Nektar::AUSM1Solver::M2Function ( int  A,
double  M 
)
protected

Definition at line 141 of file AUSM1Solver.cpp.

Referenced by M4Function(), and P5Function().

142  {
143  double out;
144 
145  if (A == 0)
146  {
147  out = 0.25 * (M + 1.0) * (M + 1.0);
148  }
149  else
150  {
151  out = -0.25 * (M - 1.0) * (M - 1.0);
152  }
153 
154  return out;
155  }
double Nektar::AUSM1Solver::M4Function ( int  A,
double  beta,
double  M 
)
protected

Definition at line 157 of file AUSM1Solver.cpp.

References M1Function(), and M2Function().

Referenced by v_PointSolve().

158  {
159  double out;
160 
161  if (fabs(M) >= 1.0)
162  {
163  out = M1Function(A, M);
164  }
165  else
166  {
167  out = M2Function(A, M);
168 
169  if (A == 0)
170  {
171  out *= 1.0 - 16.0 * beta * M2Function(1, M);
172  }
173  else
174  {
175  out *= 1.0 + 16.0 * beta * M2Function(0, M);
176  }
177  }
178 
179  return out;
180  }
double M2Function(int A, double M)
double M1Function(int A, double M)
double Nektar::AUSM1Solver::P5Function ( int  A,
double  alpha,
double  M 
)
protected

Definition at line 182 of file AUSM1Solver.cpp.

References M1Function(), and M2Function().

Referenced by v_PointSolve().

183  {
184  double out;
185 
186  if (fabs(M) >= 1.0)
187  {
188  out = (1.0 / M) * M1Function(A, M);
189  }
190  else
191  {
192  out = M2Function(A, M);
193 
194  if (A == 0)
195  {
196  out *= (2.0 - M) - 16.0 * alpha * M * M2Function(1, M);
197  }
198  else
199  {
200  out *= (-2.0 - M) + 16.0 * alpha * M * M2Function(0, M);
201  }
202  }
203 
204  return out;
205  }
double M2Function(int A, double M)
double M1Function(int A, double M)
void Nektar::AUSM1Solver::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

AUSM1 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 70 of file AUSM1Solver.cpp.

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

74  {
75  static NekDouble gamma = m_params["gamma"]();
76 
77  // Left and Right velocities
78  NekDouble uL = rhouL / rhoL;
79  NekDouble vL = rhovL / rhoL;
80  NekDouble wL = rhowL / rhoL;
81  NekDouble uR = rhouR / rhoR;
82  NekDouble vR = rhovR / rhoR;
83  NekDouble wR = rhowR / rhoR;
84 
85  // Left and right pressures
86  NekDouble pL = (gamma - 1.0) *
87  (EL - 0.5 * (rhouL * uL + rhovL * vL + rhowL * wL));
88  NekDouble pR = (gamma - 1.0) *
89  (ER - 0.5 * (rhouR * uR + rhovR * vR + rhowR * wR));
90  NekDouble cL = sqrt(gamma * pL / rhoL);
91  NekDouble cR = sqrt(gamma * pR / rhoR);
92 
93  // Average speeds of sound
94  NekDouble cA = 0.5 * (cL + cR);
95 
96  // Local Mach numbers
97  NekDouble ML = uL / cA;
98  NekDouble MR = uR / cA;
99 
100  // Parameters for specify the upwinding
101  NekDouble beta = 0.125;
102  NekDouble alpha = 0.1875;
103  NekDouble Mbar = M4Function(0, beta, ML) + M4Function(1, beta, MR);
104  NekDouble pbar = pL * P5Function(0, alpha, ML) +
105  pR * P5Function(1, alpha, MR);
106 
107  if (Mbar >= 0.0)
108  {
109  rhof = cA * Mbar * rhoL;
110  rhouf = cA * Mbar * rhoL * uL + pbar;
111  rhovf = cA * Mbar * rhoL * vL;
112  rhowf = cA * Mbar * rhoL * wL;
113  Ef = cA * Mbar * (EL + pL);
114  }
115  else
116  {
117  rhof = cA * Mbar * rhoR;
118  rhouf = cA * Mbar * rhoR * uR + pbar;
119  rhovf = cA * Mbar * rhoR * vR;
120  rhowf = cA * Mbar * rhoR * wR;
121  Ef = cA * Mbar * (ER + pR);
122  }
123  }
double P5Function(int A, double alpha, double M)
double M4Function(int A, double beta, double M)
double NekDouble
std::map< std::string, RSParamFuncType > m_params
Map of parameter function types.

Member Data Documentation

std::string Nektar::AUSM1Solver::solverName
static
Initial value:

Definition at line 52 of file AUSM1Solver.h.