A consistent BGK model with velocity-dependent collision frequency for gas mixtures
Analysis of PDEs
2021-09-29 v1
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.
Keywords
Cite
@article{arxiv.2101.09047,
title = {A consistent BGK model with velocity-dependent collision frequency for gas mixtures},
author = {Jeff Haack and Cory Hauck and Christian Klingenberg and Marlies Pirner and Sandra Warnecke},
journal= {arXiv preprint arXiv:2101.09047},
year = {2021}
}