A consistent BGK model with velocity-dependent collision frequency for gas mixtures

Abstract

We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium.

References in corpus (6)

• A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources
• Fast algorithms for computing the Boltzmann collision operator
• A consistent kinetic model for a two-component mixture with an application to plasma
• Adaptive change of basis in entropy-based moment closures for linear kinetic equations
• A BGK model for gas mixtures of polyatomic molecules allowing for slow and fast relaxation of the temperatures
• Kinetic ES-BGK models for a multi-component gas mixture

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