Simulation of a Binary Gas Flow inside a Rotating Cylinder, using v-DSMC Method and Comparison with Analytical Results

This paper reports a comparative study of the convergence rate of an axially symmetric binary gas flow inside a rotating cylinder using a new Direct Simulation Monte Carlo algorithm (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 new algorithm. This method makes use of a modified collision model of Variable Hard Sphere (VHS) termed Maxwell-VHS, which considers an equally contingency of collision but an arbitrary viscosity variation with temperature, for all adjacent gas particles. The results of the numerical simulationdeclare the convergence rate of the v-DSMC is noticeably faster than those of performed by the conventional DSMC; however, a slight computational error occurs at the same simulation time that is due to higher accuracy of collision sampling in the conventional DSMC. Moreover, the results show a good agreement between the convergence behavior of the v-DSMC in comparison with analytical data