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A new perspective on some approximations used in neutron transport modeling. (English) Zbl 1340.82016
Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 16. Proceedings of the 16th seminar (PANM), Dolní Maxov, Czech Republic, June 3–8, 2012. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-62-2). 81-87 (2013).
In this paper, a system of partial differential equations describing the transport of neutrons within an interacting medium is derived. For the derivation, the Maxwell-Cartesian spherical harmonics are used, and the angular semi-discretization of the neutron transport equation is considered. The advantages of the derived system are discussed.
For the entire collection see [Zbl 1277.65001].
82D75 Nuclear reactor theory; neutron transport
33C55 Spherical harmonics
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