FINITE ELEMENT FORMULATIONS OF NODAL SCHEMES FOR NEUTRON DIFFUSION AND TRANSPORT PROBLEMS.

E. Del Valle, J. P. Hennart, D. Meade

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Several finite element formulations of nodal schemes for neutron diffusion problems are presented: They include nonconforming formulations as well as mixed and mixed-hybrid ones, with exact or approximate evaluation of the matrix coefficients. These different formulations are compared to one another and also related to well-known point- and mesh-centered finite difference schemes. Some numerical results are given in one and two dimensions with different schemes. Applications to two-dimensional neutron transport problems are also proposed through the general approach of transverse integration.

Original languageEnglish
Pages (from-to)204-211
Number of pages8
JournalNuclear Science and Engineering
Volume92
Issue number2
DOIs
StatePublished - 1986

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