A new mixed Boltzmann-BGK model for mixtures solved with an IMEX finite volume scheme on unstructured meshes

作者：

Highlights：

• New kinetic model for inert gas mixtures.

• Proof of the Boltzmann H-theorem.

• Study of the Asymptotic Preserving property of the time discretization.

• Finite volume scheme on unstructured meshes with arbitrarily shaped polygonal cells.

• Numerical experiments assessing the accuracy and the robustness of the scheme.

摘要

•New kinetic model for inert gas mixtures.•Proof of the Boltzmann H-theorem.•Study of the Asymptotic Preserving property of the time discretization.•Finite volume scheme on unstructured meshes with arbitrarily shaped polygonal cells.•Numerical experiments assessing the accuracy and the robustness of the scheme.

论文关键词：Inert gas mixtures,Kinetic Boltzmann equations,Hydrodynamic limit,Implicit-Explicit Runge Kutta,Unstructured meshes,High order of accuracy in space and time

论文评审过程：Received 11 February 2022, Revised 13 July 2022, Accepted 15 July 2022, Available online 25 July 2022, Version of Record 25 July 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127416