Computation of a shock wave structure in monatomic gas with accuracy control. (Russian, English) Zbl 1299.76123
Zh. Vychisl. Mat. Mat. Fiz. 53, No. 6, 1008-1026 (2013); translation in Comput. Math. Math. Phys. 53, No. 6, 827-844 (2013).
Summary: 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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