[Analyse numérique des équations de la neutronique multigroupe]
Les équations de la neutronique multigroupe, qui sont une approximation de l’équation de transport des neutrons, sont utilisées pour la modélisation des cœurs de réacteurs nucléaires. Dans le cas stationnaire, ces équations sont soit un problème à source, soit un problème aux valeurs propres. Nous étudions l’approximation de ces deux problèmes avec une méthode d’éléments finis conformes dans et une méthode d’éléments finis discontinus appelée Symmetric Interior Penalty Galerkin.
The multigroup neutron equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady state, these equations can be written as a source problem or an eigenvalue problem. We study the resolution of those two problems with an -conforming finite element method and a Discontinuous Galerkin method, namely the Symmetric Interior Penalty Galerkin method.
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@article{CRMATH_2021__359_5_533_0,
author = {Jamelot, Erell and Madiot, Fran\c{c}ois},
title = {Numerical analysis of the neutron multigroup $SP_N$ equations},
journal = {Comptes Rendus. Math\'ematique},
pages = {533--545},
publisher = {Acad\'emie des sciences, Paris},
volume = {359},
number = {5},
year = {2021},
doi = {10.5802/crmath.189},
language = {en},
url = {http://www.numdam.org/articles/10.5802/crmath.189/}
}
TY - JOUR AU - Jamelot, Erell AU - Madiot, François TI - Numerical analysis of the neutron multigroup $SP_N$ equations JO - Comptes Rendus. Mathématique PY - 2021 SP - 533 EP - 545 VL - 359 IS - 5 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.189/ DO - 10.5802/crmath.189 LA - en ID - CRMATH_2021__359_5_533_0 ER -
%0 Journal Article %A Jamelot, Erell %A Madiot, François %T Numerical analysis of the neutron multigroup $SP_N$ equations %J Comptes Rendus. Mathématique %D 2021 %P 533-545 %V 359 %N 5 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.189/ %R 10.5802/crmath.189 %G en %F CRMATH_2021__359_5_533_0
Jamelot, Erell; Madiot, François. Numerical analysis of the neutron multigroup $SP_N$ equations. Comptes Rendus. Mathématique, Tome 359 (2021) no. 5, pp. 533-545. doi : 10.5802/crmath.189. http://www.numdam.org/articles/10.5802/crmath.189/
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