Abstract

A previously constructed kinetic model for describing the behavior of a nonideal gas is investigated. The dimensionless parameters determining when the nonideal nature of the gas has to be taken into account are estimated in more detail. It is found that the collision integral for bound particles can be integrated over the velocity space, which significantly simplifies the original system of equations and makes it possible to prove an H-theorem. The resulting system is nondimensionalized. A conservative numerical scheme is proposed for its solution.

中文翻译：

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求解描述非理想气体行为的动力学方程组的数值方法

摘要

研究了用于描述非理想气体行为的先前构建的动力学模型。更详细地估计确定何时必须考虑气体的非理想特性的无量纲参数。已经发现，结合粒子的碰撞积分可以在速度空间上积分，这大大简化了原始方程组，并有可能证明H定理。生成的系统是无量纲的。提出了一种保守的数值方案。