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

Marzia Bisi and Romina Travaglini

Physica A: Statistical Mechanics and its Applications, 2020, vol. 547, issue C

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.

Keywords: BGK relaxation models; Polyatomic particles; Macroscopic equations (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437120301813

DOI: 10.1016/j.physa.2020.124441

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