Numerical analysis of the neutron multigroup $SP_N$ equations

Erell Jamelot (1) , François Madiot (2)

1 STMF - Service de Thermo-hydraulique et de Mécanique des Fluides
2 SERMA - Service d’Études des Réacteurs et de Mathématiques Appliquées

The multigroup neutron $SP_N$ 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 $H^1$-conforming finite element method and a Discontinuous Galerkin method, namely the Symmetric Interior Penalty Galerkin method.

Domains: Mathematics [math]; Numerical Analysis [math.NA]; Mathematics [math]; Analysis of PDEs [math.AP]

Erell Jamelot, François Madiot. Numerical analysis of the neutron multigroup $SP_N$ equations. Comptes Rendus. Mathématique, 2021, Comptes Rendus. Mathématique, 359 (5). ⟨cea-02902626⟩