A two-temperature six-moment approach to the shock wave problem in a polyatomic gas
Starting from a two-velocity version of a recently derived six-moment closure of the kinetic Boltzmann description of a polyatomic gas, based on a discrete structure of internal energy levels, the classical shock wave problem is analyzed in some detail. Explicit analytical results are achieved under a simplifying assumption equivalent to the standard approximation of polytropic gases, to which this paper is generally restricted. In particular, existence of smooth solutions, occurrence of jumps in the kinetic and excitation temperatures, and possible temperature overshooting are emphasized.
KeywordsPolyatomic gases Shock wave problem Two-temperature hydrodynamics from kinetic equations
Mathematics Subject Classification76P05 82C40 35L67
This work has been performed in the frame of activities sponsored by INdAM-GNFM and by the University of Parma. Some of the results contained in this paper have been presented in the conference WASCOM 2017 in honour of Tommaso Ruggeri.
- 20.Kosuge, S., Aoki, K., Goto, T.: Shock wave structure in polyatomic gases: numerical analysis using a model Boltzmann equation. In: Ketsdever, A., Struchtrup, H. (eds.) AIP Conference Proceedings of “30th International Symposium on Rarefied Gas Dynamics”, vol. 1786, 180004 (2016)Google Scholar