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The structure of a shock wave propagating through a hard-sphere gas is obtained by the Direct Simulation Monte Carlo method (DSMC), in the limit of infinitely large Mach number. The shock profiles and the distribution function of molecular velocities f are compared with Grad’s and Mott–Smith approximations. It is shown that the “regular” part of f, exhibits a singularity in the velocity space at the location of the upstream bulk speed.
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Cercignani et al. (1999) studied this question.
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