### Abstract

A formulation of an implicit characteristic‐flux‐averaging method for the unsteady Euler equations with real gas effects is presented. Incorporation of a real gas into a general equation of state is achieved by considering the pressure as a function of density and specific internal energy. The Ricmann solver as well as the flux‐split algorithm are modified by introducing the pressure derivatives with respect to density and internal energy. Expressions for calculating the values of the flow variables for a real gas at the cell faces are derived. The Jacobian matrices and the eigenvectors are defined for a general equation of state. The solution of the system of equations is obtained by using a mesh‐sequencing method for acceleration of the convergence. Finally, a test case for a simple form of equation of state displays the differences from the corresponding solution for an ideal gas.

Original language | English |
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Pages (from-to) | 711-726 |

Number of pages | 16 |

Journal | International Journal for Numerical Methods in Fluids |

Volume | 12 |

Issue number | 8 |

DOIs | |

Publication status | Published - 1 Jan 1991 |

Externally published | Yes |

### Keywords

- Euler equations
- Real gases
- Upwind methods