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| In kinetic theory, polyatomic gases may be described as a mixture of monoatomic components, each one characterized by a different energy level. Besides classical elastic collisions, particles are subject to inelastic encounters changing their internal energy state (transforming part of kinetic energy into internal energy or vice versa) and/or to chemical reactions implying also transfer of mass. We derive consistent BGK approximations of the cumbersome Boltzmann equations for polyatomic gas mixtures, where parameters of the Maxwellian attractors are uniquely determined as functions of the main macroscopic fields (densities, velocities, and temperatures) of the interacting gases, by imposing preservation of exact equilibria and collision invariants of the original kinetic approach. Numerical tests of the proposed model are also shown for illustrative purposes. |
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