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

D. Drikakis, S. Tsangaris

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)611-626
Number of pages16
JournalInternational Journal for Numerical Methods in Fluids
Issue number8
Publication statusPublished - 5 May 1991
Externally publishedYes


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