论文标题
一般多种物种BGK模型的评论:建模,理论和数字
A review on a general multi-species BGK model: modelling, theory and numerics
论文作者
论文摘要
在本文中,我们专注于气体混合物的动力学方程,因为在应用中,人们通常必须处理混合物而不是单个气体。特别是,我们考虑了玻尔兹曼方程的近似值,即浴纳加尔 - 克鲁克(BGK)方程。该方程在许多应用中都使用,因为它在数值模拟中非常有效。在本文中,我们回想起具有自由参数的气体混合物的一般BGK方程。这些自由参数的特定选择导致文献中的特殊情况。对于此模型,我们提供了有关建模,理论结果和数字的概述。
In this article we focus on kinetic equations for gas mixtures since in applications one often has to deal with mixtures instead of a single gas. In particular we consider an approximation of the Boltzmann equation, the Bathnagar-Gross-Krook (BGK) equation. This equation is used in many applications because it is very efficient in numerical simulations. In this article, we recall a general BGK equation for gas mixtures which has free parameters. Specific choices of these free parameters lead to special cases in the literature. For this model, we provide an overview concerning modelling, theoretical results and numerics.