Abstract
Using Green-Kubo theory we calculate the timestep dependence of transport coefficients (viscosity, thermal conductivity, coefficient of diffusion) in the direct simulation Monte Carlo (DSMC). Because DSMC is discrete in time, we formulate a continuous-time model of DSMC that allows application of the Green-Kubo formulation (N. G. Hadjiconstantinou, “Analysis of discretization in the direct simulation Monte Carlo,” to appear in Physics of Fluids). The transport coefficients in equilibrium are found to be quadratic functions of the timestep, resulting in errors (with respect to the dilute gas Enskog result) of the order of 5% for timesteps of the order of one mean free time. The results are in very good agreement with numerical simulations performed by Garcia and Wagner (A. L. Garcia and W. Wagner, “Time step truncation error in direct simulation Monte Carlo,” to appear in Physics of Fluids).
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