On the accuracy of the direct discrete simulation of the Landau collision integral by the Boltzmann integral

被引：1

作者：

Karpov S.A. ^{[1
]}

Potapenko I.F. ^{[1
,2
]}

Bobylev A.V. ^{[2
]}

机构：

[1] Dukhov Research Institute of Automatics (VNIIA), Moscow

[2] Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow

来源：

Mathematical Models and Computer Simulations | 2017年 / 9卷 / 2期

关键词：

approximation order; Boltzmann equation; Coulomb collisions; Landau–Fokker–Planck equations; Monte Carlo method; multiply charged ions;

D O I：

10.1134/S2070048217020065

中图分类号：

学科分类号：

摘要：

The Landau (Fokker–Planck) integral of Coulomb collisions is an integral component of the physical and mathematical models of both laboratory and space plasma, in which the intermediate collisionality regime is important. This paper discusses the method for the direct statistical simulation of the Monte Carlo type for a kinetic equation with a nonlinear operator of the Landau–Fokker–Planck (LFP) Coulomb collisions. This method is based on the approximation of the Landau collision integral by the Boltzmann collision integral. The paper has two main objectives: firstly, to obtain numerical estimates of the order of approximation of the Landau collision integral by the Boltzmann integral and, secondly, to explore the possibilities of optimizing the algorithm for multiply charged ions. The results are illustrated by the calculations of the problem on the relaxation of the initial distribution to equilibrium for one and two components. © 2017, Pleiades Publishing, Ltd.

引用

页码：206 / 220

页数：14

共 19 条

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