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Title: A new perspective on some approximations used in neutron transport modeling (English)
Author: Hanuš, Milan
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 3-8, 2012
Issue: 2012
Pages: 81-87
Category: math
Summary: In this contribution, we will use the \textit{Maxwell-Cartesian spherical harmonics} (introduced in [1,2]}) to derive a system of partial differential equations governing transport of neutrons within an interacting medium. This system forms an alternative to the well known $P_N$ approximation, which is based on the expansion of the directional dependence into tesseral spherical harmonics ([3,p.197]). In comparison with this latter set of equations, the Maxwell-Cartesian system posesses a much more regular structure, which may be used for various simplifications that could be advantageous from computational point of view. (English)
Keyword: spherical harmonics
Keyword: transport of neutrons
MSC: 33C55
MSC: 82D75
Date available: 2015-07-08T06:41:22Z
Last updated: 2015-07-08
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