Constructions of simple kinetic equations for a dense gas are presented, with a special emphasis on a couple of modelling based on the Ellipsoidal-Statistical (ES)-type collision model. First, two previous models are reviewed: one based on a simple relaxation model with the isothermal assumption and the other based on the Bhatnagar–Gross–Krook (BGK)-type collision model. These models have a monotone functional that enables one to make thermodynamic interpretations on simulation results for phase change phenomena. They are, however, not designed so as to reproduce appropriate transport properties for a dense gas. Two types of the Ellipsoidal-Statistical (ES)-based model are proposed and described in detail. Both ES-based models reproduce appropriate transport properties, which is an advantage over the previous models. The difference of their monotone property in time is also discussed in detail.
CITATION STYLE
Miyauchi, T., Takata, S., Hattori, M., & Takahashi, A. (2023). Constructions of Simple Kinetic Equations for a Dense Gas. In Springer Proceedings in Mathematics and Statistics (Vol. 429, pp. 19–39). Springer. https://doi.org/10.1007/978-3-031-35871-5_2
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