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A BGK model for mixtures of monoatomic and polyatomic gases with discrete internal energy

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  • Bisi, Marzia
  • Travaglini, Romina

Abstract

We generalize the BGK model proposed in Bisi and Cáceres (2016) to a mixture constituted by both monoatomic and polyatomic gas species with each polyatomic one being characterized by its own number of discrete internal energy levels, to model its non-translational degrees of freedom. We prove that all disposable parameters appearing in the Maxwellian attractors may be determined in terms of the actual macroscopic fields in such a way that correct Maxwellian equilibria and collision invariants are preserved, as well as the validity of the H-theorem. Evolution equations for species densities, velocities and temperatures are also derived, and some numerical examples are shown in space homogeneous conditions.

Suggested Citation

  • Bisi, Marzia & Travaglini, Romina, 2020. "A BGK model for mixtures of monoatomic and polyatomic gases with discrete internal energy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    • Handle: RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437120301813
    DOI: 10.1016/j.physa.2020.124441
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    Cited by:

    1. Bisi, Marzia & Boscheri, Walter & Dimarco, Giacomo & Groppi, Maria & Martalò, Giorgio, 2022. "A new mixed Boltzmann-BGK model for mixtures solved with an IMEX finite volume scheme on unstructured meshes," Applied Mathematics and Computation, Elsevier, vol. 433(C).

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