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DSMC approach to nonstationary Mach reflection of strong incoming shock waves using a smoothing technique

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Abstract

The direct simulation Monte Carlo (DSMC) method is applied to simulation of nonstationary Mach reflection of strong shock waves. Normally the DSMC method is very time consuming in solving unsteady flow field problems especially for high Mach numbers, because of the necessity of iterative calculations to eliminate the inherent statistical fluctuation caused by a finite sample size. A central weighted smoothing technique is introduced to process the DSMC results, so that the iteration time can be significantly reduced. In spite of some relaxations of the shock wave structure, the smoothing technique is verified to be useful to estima te the flow fields qualitatively and even quantitatively by using a relatively small sample size. The comparison between the present approach and the kineticmodel approach (Xu et al. 1991a, 1991b) on the application to unsteady rarefied flow fields was also carried out.

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This article was processed using Springer-Verlag TEX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society.

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Xu, D.Q., Honma, H. & Abe, T. DSMC approach to nonstationary Mach reflection of strong incoming shock waves using a smoothing technique. Shock Waves 3, 67–72 (1993). https://doi.org/10.1007/BF01414749

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  • DOI: https://doi.org/10.1007/BF01414749

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