Comparative analysis of direct simulation algorithms in rarefied gas dynamics. (English. Russian original) Zbl 0683.76065

U.S.S.R. Comput. Math. Math. Phys. 28, No. 4, 63-71 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 7, 1058-1070 (1988).
Summary: Following the general approach of the theory of Monte Carlo methods, we present a consistent construction of the direct simulation method for the “basic” N-particle kinetic equation. From the integral form of this equation we derive, under appropriate assumptions, approximate integral equations whose probabilistic interpretation is identical with the traditional direct simulation schemes used in rarefied gas dynamics. A comparative analysis of these schemes is carried out under the relevant conditions of applicability. An efficient “majorizing frequency” numerical scheme is proposed as an implementation of the direct simulation method for rarefied gas flows.


76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
Full Text: DOI