Analysis of Repeated Collisions in the DSMC Method

Abstract

By the example of one‐dimensional problems of heat transfer and Couette flow, the influence of the statistical dependence between the simulated molecules on the deviation of the numerical solution obtained by the Direct Simulation Monte Carlo method from the solution of the Boltzmann equation is considered. The fraction of repeated collisions is used as the measure of the statistical dependence. The relation between the statistical dependence and the deviation of the numerical solution caused by a finite number of simulated molecules and by spatial and temporal discretization is examined.