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Sub-shock formation in Grad 10-moment equations for a binary gas mixture

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Abstract

The shock structure problem for Grad 10-moment equations for an inert binary mixture is investigated: necessary conditions for the formation of sub-shocks in fields of only one gas or of both components are rigorously obtained, and a detailed comparison with the shock-wave structure of its principal sub-system (deduced assuming vanishing viscous stress tensors) and of the equilibrium Euler sub-system is performed. Some numerical simulations for a mixture of argon and helium are presented.

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Author information

Authors and Affiliations

  1. University of Parma, Parma, Italy

    Marzia Bisi

  2. University of Messina, Messina, Italy

    Fiammetta Conforto

  3. University of Bordeaux, CNRS, INRIA, Bordeaux, France

    Giorgio Martalò

  4. Department of Mathematics and Computer Science, University of Parma, Parco Area delle Scienze 53/A, 43124, Parma, Italy

    Marzia Bisi

Authors
  1. Marzia Bisi
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  2. Fiammetta Conforto
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  3. Giorgio Martalò
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Correspondence to Marzia Bisi.

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Communicated by Andreas Öchsner.

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Bisi, M., Conforto, F. & Martalò, G. Sub-shock formation in Grad 10-moment equations for a binary gas mixture. Continuum Mech. Thermodyn. 28, 1295–1324 (2016). https://doi.org/10.1007/s00161-015-0476-8

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  • DOI: https://doi.org/10.1007/s00161-015-0476-8

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