Geodesic
Stochastic simulation of rarefied gas transport coefficients
Matematičeskoe modelirovanie, Tome 29 (2017) no. 3, pp. 113-122

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We propose the new stochastic algorithm for computation of the transport coefficients of rarefied gas, which is based on stochastic modeling of phase trajectories considered molecular system. This algorithm does not use the formulas of the kinetic theory of gases for the transport coefficients. 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 example of the viscosity and diffusion coefficient of several gases. It was shown that the 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 and calculation time is analyzed.
Keywords: rarefied gas, molecular modeling, transport processes, viscosity, stochastic dynamics.
Mots-clés : diffusion 
@article{MM_2017_29_3_a8,
     author = {V. Ya. Rudyak and E. V. Lezhnyov},
     title = {Stochastic simulation of rarefied gas transport coefficients},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {113--122},
     publisher = {mathdoc},
     volume = {29},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_3_a8/}
}
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V. Ya. Rudyak; E. V. Lezhnyov. Stochastic simulation of rarefied gas transport coefficients. Matematičeskoe modelirovanie, Tome 29 (2017) no. 3, pp. 113-122. http://geodesic.mathdoc.fr/item/MM_2017_29_3_a8/