Modifications of weighted Monte Carlo algorithms for nonlinear kinetic equations

被引：0
|
作者：
Korotchenko M.A. [1 ]
Mikhailov G.A. [1 ]
Rogasinsky S.V. [1 ]
机构：
[1] Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk 630090
来源：
Computational Mathematics and Mathematical Physics | 2007年 / 47卷 / 12期
基金：
俄罗斯基础研究基金会;
关键词：
Solution to nonlinear Boltzmann and Smoluchowski kinetic equations; Weighted Monte Carlo algorithms;
D O I：
10.1134/S0965542507120123
中图分类号：
学科分类号：
摘要：
Test problems for the nonlinear Boltzmann and Smoluchowski kinetic equations are used to analyze the efficiency of various versions of weighted importance modeling as applied to the evolution of multiparticle ensembles. For coagulation problems, a considerable gain in computational costs is achieved via the approximate importance modeling of the "free path" of the ensemble combined with the importance modeling of the index of a pair of interacting particles. A weighted modification of the modeling of the initial velocity distribution was found to be the most efficient for model solutions to the Boltzmann equation. The technique developed can be useful as applied to real-life coagulation and relaxation problems for which the model problems considered give approximate solutions. © 2007 Pleiades Publishing, Ltd.
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收藏
页码：2023 / 2033
页数：10
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