Consistent, explicit, and accessible Boltzmann collision operator for polyatomic gases

Physical review. E, vol. 104, pp. 025309

Abstract

Based on a continuous internal energy state variable, we propose an explicit, fully nonlinear Boltzmann collision operator for the evolution of the distribution function describing a polyatomic gas with a constant heat capacity. The particle interaction is a polyatomic generalization of the variable hard-sphere model, used in a recent rigorous mathematical analysis, and includes frozen collisions. The model is consistent with the monatomic case and allows easy evaluations for moment equations and the Chapman-Enskog expansion. Using a publicly available computer algebra code we can explicitly compute nonlinear production terms for macroscopic systems of moments. The range of Prandtl number values recovers the Eucken formula for a specific choice of frozen collisions.

Authors 3

1. Vladimir Djordjić Aachen Applied and Computational Mathematics

   RWTH Aachen University · University of Novi Sad

   Affiliation as printed

   Applied and Computational Mathematics, RWTH Aachen University, Schinkelstrasse 2, 52062 Aachen, Germany

   Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia

2. Milana Pavić‐Čolić

   University of Novi Sad

   Affiliation as printed

   Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia

3. Manuel Torrilhon Aachen Applied and Computational Mathematics

   RWTH Aachen University

   Affiliation as printed

   Applied and Computational Mathematics, RWTH Aachen University, Schinkelstrasse 2, 52062 Aachen, Germany