An implicit characteristic‐flux‐averaging method for the euler equations for real gases

D. Drikakis, S. Tsangaris

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)711-726
Number of pages16
JournalInternational Journal for Numerical Methods in Fluids
Issue number8
Publication statusPublished - 1 Jan 1991
Externally publishedYes


  • Euler equations
  • Real gases
  • Upwind methods


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