THE NONCLASSICAL BOLTZMANN EQUATION AND DIFFUSION-BASED APPROXIMATIONS TO THE BOLTZMANN EQUATION

被引：9

作者：

Frank, Martin ^{[1
]}

Krycki, Kai ^{[1
]}

Larsen, Edward W. ^{[2
]}

Vasques, Richard ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, D-52062 Aachen, Germany

[2] Univ Michigan, Dept Nucl Engn & Radiol Sci, Ann Arbor, MI 48109 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2015年 / 75卷 / 03期

关键词：

Boltzmann equation; diffusion approximation; nonclassical transport; Monte Carlo; PARTICLE-TRANSPORT;

D O I：

10.1137/140999451

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that several diffusion-based approximations (classical diffusion or SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be represented exactly by a nonclassical transport equation. As a consequence, we indicate a method to solve these diffusion-based approximations to the Boltzmann equation via Monte Carlo methods, with only statistical errors-no truncation errors.

引用

页码：1329 / 1345

页数：17

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