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Calculation of macroscopic parameters in the Monte Carlo method of direct statistical modeling. (English. Russian original) Zbl 0536.76074

Sov. Phys., Dokl. 28, 519-520 (1983); translation from Dokl. Akad. Nauk SSSR 271, 315-318 (1983).
In the present article it is shown that it is advisable to calculate the macroscopic parameters by averaging the corresponding microscopic characteristics along the molecular trajectories intersecting the cell under consideration [L. D. Landau and E. M. Lifshitz, Statistical physics, Vol. 2, 3rd edition, Pergamon Press, Oxford (1980)]. This calculation method has made it possible to improve considerably the fulfillment of the conservation laws for the macroscopic fluxes. As an illustration, we shall consider a one-dimensional problem of heat transfer.

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
76M99 Basic methods in fluid mechanics
65C05 Monte Carlo methods
76G25 General aerodynamics and subsonic flows
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