| 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:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702710 |
| . |
