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

D. Drikakis, S. Tsangaris

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 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
Volume12
Issue number8
DOIs
Publication statusPublished - 5 May 1991

Keywords

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

Fingerprint Dive into the research topics of 'Implicit characteristic-flux-averaging method for the Euler equations for real gases'. Together they form a unique fingerprint.

  • Cite this