### Abstract

Original language | English |
---|---|

Pages (from-to) | 611-626 |

Number of pages | 16 |

Journal | International Journal for Numerical Methods in Fluids |

Volume | 12 |

Issue number | 8 |

DOIs | |

Publication status | Published - 5 May 1991 |

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### Keywords

- equations of state
- mathematical techniques
- numerical methods
- Euler equations
- upwind methods
- real gases
- gas dynamics

### Cite this

*International Journal for Numerical Methods in Fluids*,

*12*(8), 611-626. https://doi.org/10.1002/fld.165012080

}

*International Journal for Numerical Methods in Fluids*, vol. 12, no. 8, pp. 611-626. https://doi.org/10.1002/fld.165012080

**Implicit characteristic-flux-averaging method for the Euler equations for real gases.** / Drikakis, D.; Tsangaris, S.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Implicit characteristic-flux-averaging method for the Euler equations for real gases

AU - Drikakis, D.

AU - Tsangaris, S.

N1 - cited By 0

PY - 1991/5/5

Y1 - 1991/5/5

N2 - 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 Riemann 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.

AB - 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 Riemann 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.

KW - equations of state

KW - mathematical techniques

KW - numerical methods

KW - Euler equations

KW - upwind methods

KW - real gases

KW - gas dynamics

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-0026416717&partnerID=40&md5=5d37b4b5375589398c82f2be92421c45

U2 - 10.1002/fld.165012080

DO - 10.1002/fld.165012080

M3 - Article

VL - 12

SP - 611

EP - 626

JO - International Journal of Numerical Methods in Fluids

JF - International Journal of Numerical Methods in Fluids

SN - 0271-2091

IS - 8

ER -