This article reports a comparative study of the convergence rate of an axially symmetric binary gas flow inside a rotating cylinder using an improved direct simulation Monte Carlo algorithm for rarefied gases (v-DSMC) and the conventional DSMC. Subsequently, a comparison between the convergence behavior of the v-DSMC and analytical data is carried out to scrutinize the validity of the v-DSMC algorithm. This method makes use of a modified collision model of variable hard sphere (VHS) termed Maxwell-VHS, which considers an equal contingency of collision but an arbitrary viscosity variation with temperature, for all adjacent gas particles. The results of the numerical simulation declare the convergence rate of the v-DSMC is noticeably faster than those performed by the conventional DSMC; however, a slight computational error occurs at the same simulation time due to higher accuracy of collision sampling in the conventional DSMC. Moreover, the results show a good agreement between the convergence behaviors of the v-DSMC in comparison with the analytical data.

本文报告了使用改进的稀有气体直接模拟蒙特卡洛算法（v -DSMC）和常规DSMC对旋转气缸内轴对称二元气流的收敛速度进行的比较研究。随后，将v -DSMC的收敛行为与分析数据进行比较，以检查v -DSMC算法的有效性。该方法利用了被称为Maxwell-VHS的可变硬球体（VHS）的改进碰撞模型，该模型考虑了所有相邻气体颗粒的相等碰撞偶然性但随温度的任意粘度变化。数值模拟结果表明v的收敛速度-DSMC明显比常规DSMC快；但是，由于常规DSMC中较高的碰撞采样精度，因此在相同的仿真时间会出现轻微的计算错误。此外，与分析数据相比，结果表明v -DSMC的收敛行为之间有很好的一致性。