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.

A BGK model for mixtures of monoatomic and polyatomic gases with discrete internal energy / Bisi, M.; Travaglini, R.. - In: PHYSICA. A. - ISSN 0378-4371. - 547(2020), p. 124441. [10.1016/j.physa.2020.124441]

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

Bisi M.;Travaglini R.
2020

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2876369
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