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A two-temperature six-moment approach to the shock wave problem in a polyatomic gas

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Abstract

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.

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Acknowledgements

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.

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Authors and Affiliations

  1. Department of Mathematical, Physical and Computer Sciences, University of Parma, Parco Area delle Scienze 53/A, 43124, Parma, Italy

    Marzia Bisi & Giampiero Spiga

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  1. Marzia Bisi
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  2. Giampiero Spiga
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Correspondence to Giampiero Spiga.

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Bisi, M., Spiga, G. A two-temperature six-moment approach to the shock wave problem in a polyatomic gas. Ricerche mat 68, 1–12 (2019). https://doi.org/10.1007/s11587-018-0370-3

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  • DOI: https://doi.org/10.1007/s11587-018-0370-3

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