Article

 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 Year: 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 Stable URL: http://hdl.handle.net/10338.dmlcz/702710 .

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