A Kinetic BGK Relaxation Model for a Reacting Mixture of Polyatomic Gases

We present a kinetic model of BGK-type for a mixture of four polyatomic gases, each one having its own number of internal energy levels, subject also to a bimolecular and reversible chemical reaction. A single relaxation operator is constructed for each gas component, with auxiliary parameters depending on main macroscopic fields and able to take into account all mechanical and reactive interactions affecting the considered component. Preservation of correct collision equilibria, conservation laws, and H-theorem is proved, and some numerical simulations in space homogeneous conditions are shown.