Asymptotic diffusion limit of the symbolic Monte-Carlo method for the transport equation

被引：14

作者：

Clouët, JF ^{[1
]}

Samba, G ^{[1
]}

机构：

[1] CEA, F-91680 Bruyeres Le Chatel, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2004年 / 195卷 / 01期

关键词：

Monte-Carlo method; radiative transfer;

D O I：

10.1016/j.jcp.2003.10.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We use asymptotic analysis to study the diffusion limit of the Symbolic Implicit Monte-Carlo (SIMC) method for the transport equation. For standard SIMC with piecewise constant basis functions, we demonstrate mathematically that the solution converges to the solution of a wrong diffusion equation. Nevertheless a simple extension to piecewise linear basis functions enables to obtain the correct solution. We present numerical examples which illustrate the analysis. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：293 / 319

页数：27

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