A new derivation of Akcasu's "MLP" equations for 1-D particle transport in stochastic media

被引：4
|
作者：
Larsen, Edward W. [1 ]
Prinja, Anil K. [2 ]
机构：
[1] Univ Michigan, Dept Nucl Engn & Radiol Sci, Ann Arbor, MI 48109 USA
[2] Univ New Mexico, Dept Chem & Nucl Engn, Albuquerque, NM 87131 USA
来源：
ANNALS OF NUCLEAR ENERGY | 2008年 / 35卷 / 04期
关键词：
D O I：
10.1016/j.anucene.2007.08.008
中图分类号：
TL [原子能技术]; O571 [原子核物理学];
学科分类号：
0827 ; 082701 ;
摘要：
This paper presents a new derivation of Akcasu's modified Levermore-Pomraning (MLP) model, which estimates the ensemble-averaged angular flux for particle transport problems in 1-D geometrically random media. The significant new feature of the M LP equations is that, unlike the earlier Levermore-Pomraning (LP) model, the M LP equations are exact for certain classes of problems with scattering. We also show, via asymptotic analyses, that the MLP equations are accurate in the atomic mix and diffusion limits. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：620 / 626
页数：7
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