• Citer

A nonconforming finite element approximation of the transport equation in quadrangular and hexagonal geometries

par Devooght, Jacques ;Huang, Xing ;Mund, Ernest
Référence Annals of nuclear energy, 23, 4-5, page (285-300)
Publication Publié, 1996-03

Article révisé par les pairs

• Détails
• Contenu

Résumé :

This paper introduces a new finite element approximation for multi-dimensional transport problems in piecewise homogeneous media. The transport equation is solved using a Galerkin technique with polynomial basis functions in space-angle variables derived from asymptotic transport theory. The phase space is partitioned into cells consistent with the geometry and having each an elemental expansion which is not a tensor product. Improved accuracy may be obtained by multiplying the number of cells or/and increasing the polynomial degree. Numerical results on 1D and 2D reference problems in square geometry show a good agreement with other approximate methods.