Investigating the Simulation Rate of an Axially Symmetric Rarefied Gas Flow Using v-DSMC

Abstract

Abstract 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.