Stochastic method for modeling of the rarefied gas transport coefficients

被引：7

作者：

Rudyak, V. Ya ^{[1
,2
,3
,4
,5
]}

Lezhnev, E. V. ^{[6
]}

机构：

[1] Novosibirsk State Univ Civil Engn, Phys & Math, 113 Leningradskaya Str, Novosibirsk 630008, Russia

[2] Novosibirsk State Univ Civil Engn, Higher Sch Russia, 113 Leningradskaya Str, Novosibirsk 630008, Russia

[3] Novosibirsk State Univ Civil Engn, MAS HS, 113 Leningradskaya Str, Novosibirsk 630008, Russia

[4] Novosibirsk State Univ Civil Engn, Amer Nano Soc, 113 Leningradskaya Str, Novosibirsk 630008, Russia

[5] Novosibirsk State Univ Civil Engn, Dept Theoret Mech NGASU Sibstrin, 113 Leningradskaya Str, Novosibirsk 630008, Russia

[6] Novosibirsk State Tech Univ, NSTU, Higher Math, 20 Av K Marksa, Novosibirsk 630073, Russia

来源：

5TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES (IC-MSQUARE 2016) | 2016年 / 738卷

基金：

俄罗斯科学基金会;

关键词：

D O I：

10.1088/1742-6596/738/1/012086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose an algorithm for computation of the transport coefficients of rarefied gas, which is based on stochastic modeling of phase trajectories considered molecular system. The hard spheres potential is used. The number of operations is proportional to the number of used molecules. Naturally in this algorithm the conservation laws are performed. The efficiency of the algorithm is demonstrated by the calculation of the viscosity and diffusion coefficients of several noble gases (argon, neon, xenon, krypton). It was shown that the algorithm accuracy of the order of 1-2% can be obtained by using a relatively small number of molecules. The accuracy dependence on the number of used molecules, statistics (number of the used phase trajectories) and calculation time was analyzed.

引用

页数：4

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