Geodesic
Computation of a shock wave structure in monatomic gas with accuracy control
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 1008-1026 Cet article a éte moissonné depuis la source Math-Net.Ru

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The structure of a shock wave in a monatomic one-component gas was computed by solving the Boltzmann kinetic equation with accuracy controlled with respect to computational parameters. The hard-sphere molecular model and molecules with the Lennard-Jones potential were considered. The computations were performed in a wide range of Mach numbers with the accuracy no less than 3% for the shock front width and 1% for local values of density and temperature. The shock wave structure was studied in terms of macroscopic gas characteristics and in terms of the molecular velocity distribution function. 
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O. I. Dodulad; F. G. Tcheremissine. Computation of a shock wave structure in monatomic gas with accuracy control. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 1008-1026. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a13/

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