Semi-Lagrangian Approximation of BGK Models for Inert and Reactive Gas Mixtures
Recent relaxation time-approximation models of BGK-type for the kinetic description of both inert and reacting gas mixtures are reviewed and their main properties are recalled. The models are characterized by only one Maxwellian attractor for each species; such attractors are defined in terms of auxiliary parameters. For their numerical approximation, semi-Lagrangian schemes are proposed. Numerical simulations are presented with the aim of showing the peculiarities of the different BGK models and the performance of the numerical method.
This work was supported by MIUR, by the National Group of Mathematical Physics (GNFM-INdAM), by the National Group sof Scientific Computing (GNCS-INdAM), and by the Universities of Catania and Parma (Italy).
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