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Nektar::AUSM2Solver Class Reference

#include <AUSM2Solver.h>

Inheritance diagram for Nektar::AUSM2Solver:
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Collaboration diagram for Nektar::AUSM2Solver:
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Static Public Member Functions

static RiemannSolverSharedPtr create ()
 

Static Public Attributes

static std::string solverName
 

Protected Member Functions

 AUSM2Solver ()
 
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)
 AUSM2 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 AUSM2Solver.h.

Constructor & Destructor Documentation

Nektar::AUSM2Solver::AUSM2Solver ( )
protected

Definition at line 46 of file AUSM2Solver.cpp.

Referenced by create().

47  {
48 
49  }

Member Function Documentation

static RiemannSolverSharedPtr Nektar::AUSM2Solver::create ( )
inlinestatic

Definition at line 46 of file AUSM2Solver.h.

References AUSM2Solver().

47  {
49  new AUSM2Solver());
50  }
boost::shared_ptr< RiemannSolver > RiemannSolverSharedPtr
A shared pointer to an EquationSystem object.
double Nektar::AUSM2Solver::M1Function ( int  A,
double  M 
)
protected

Definition at line 138 of file AUSM2Solver.cpp.

Referenced by M4Function(), and P5Function().

139  {
140  double out;
141 
142  if (A == 0)
143  {
144  out = 0.5 * (M + fabs(M));
145  }
146  else
147  {
148  out = 0.5 * (M - fabs(M));
149  }
150 
151  return out;
152  }
double Nektar::AUSM2Solver::M2Function ( int  A,
double  M 
)
protected

Definition at line 154 of file AUSM2Solver.cpp.

Referenced by M4Function(), and P5Function().

155  {
156  double out;
157 
158  if (A == 0)
159  {
160  out = 0.25 * (M + 1.0) * (M + 1.0);
161  }
162  else
163  {
164  out = -0.25 * (M - 1.0) * (M - 1.0);
165  }
166 
167  return out;
168  }
double Nektar::AUSM2Solver::M4Function ( int  A,
double  beta,
double  M 
)
protected

Definition at line 170 of file AUSM2Solver.cpp.

References M1Function(), and M2Function().

Referenced by v_PointSolve().

171  {
172  double out;
173 
174  if (fabs(M) >= 1.0)
175  {
176  out = M1Function(A, M);
177  }
178  else
179  {
180  out = M2Function(A, M);
181 
182  if (A == 0)
183  {
184  out *= 1.0 - 16.0 * beta * M2Function(1, M);
185  }
186  else
187  {
188  out *= 1.0 + 16.0 * beta * M2Function(0, M);
189  }
190  }
191 
192  return out;
193  }
double M1Function(int A, double M)
double M2Function(int A, double M)
double Nektar::AUSM2Solver::P5Function ( int  A,
double  alpha,
double  M 
)
protected

Definition at line 195 of file AUSM2Solver.cpp.

References M1Function(), and M2Function().

Referenced by v_PointSolve().

196  {
197  double out;
198 
199  if (fabs(M) >= 1.0)
200  {
201  out = (1.0 / M) * M1Function(A, M);
202  }
203  else
204  {
205  out = M2Function(A, M);
206 
207  if (A == 0)
208  {
209  out *= (2.0 - M) - 16.0 * alpha * M * M2Function(1, M);
210  }
211  else
212  {
213  out *= (-2.0 - M) + 16.0 * alpha * M * M2Function(0, M);
214  }
215  }
216 
217  return out;
218  }
double M1Function(int A, double M)
double M2Function(int A, double M)
void Nektar::AUSM2Solver::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

AUSM2 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 AUSM2Solver.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 sigma = 1.0;
104  NekDouble Kp = 0.25;
105  NekDouble Ku = 0.75;
106  NekDouble Mtilde = 0.5 * (ML * ML + MR * MR);
107  NekDouble rhoA = 0.5 * (rhoL + rhoR);
108  NekDouble Mp = -Kp * ((pR - pL) / (rhoA * cA * cA)) *
109  std::max(1.0 - sigma * Mtilde, 0.0);
110 
111  NekDouble Mbar = M4Function(0, beta, ML) +
112  M4Function(1, beta, MR) + Mp;
113 
114  NekDouble pu = -2.0 * Ku * rhoA * cA * cA * (MR - ML) *
115  P5Function(0, alpha, ML) * P5Function(1, alpha, MR);
116 
117  NekDouble pbar = pL * P5Function(0, alpha, ML) +
118  pR * P5Function(1, alpha, MR) + pu;
119 
120  if (Mbar >= 0.0)
121  {
122  rhof = cA * Mbar * rhoL;
123  rhouf = cA * Mbar * rhoL * uL + pbar;
124  rhovf = cA * Mbar * rhoL * vL;
125  rhowf = cA * Mbar * rhoL * wL;
126  Ef = cA * Mbar * (EL + pL);
127  }
128  else
129  {
130  rhof = cA * Mbar * rhoR;
131  rhouf = cA * Mbar * rhoR * uR + pbar;
132  rhovf = cA * Mbar * rhoR * vR;
133  rhowf = cA * Mbar * rhoR * wR;
134  Ef = cA * Mbar * (ER + pR);
135  }
136  }
double NekDouble
double M4Function(int A, double beta, double M)
std::map< std::string, RSParamFuncType > m_params
Map of parameter function types.
double P5Function(int A, double alpha, double M)

Member Data Documentation

std::string Nektar::AUSM2Solver::solverName
static
Initial value:

Definition at line 52 of file AUSM2Solver.h.