RAY-EFFECT MITIGATION IN DISCRETE ORDINATE-LIKE ANGULAR FINITE ELEMENT APPROXIMATIONS IN NEUTRON TRANSPORT.

L. L. Briggs*, W. F. Miller, E. E. Lewis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

67 Scopus citations

Abstract

A generalization is made of a previous phase-space finite element approximation of the second-order form of the one-group, two-dimensional neutron transport equation in x-y geometry. Three angular approximations are formulated and compared: continuous piecewise bilinear finite element, piecewise constant finite element, and discrete ordinate. These are incorporated into a unified formalism of discrete ordinate-like equations, enabling the spatial variables to be treated identically using piecewise linear or bilinear finite elements. The resulting equations are solved iteratively by a weighted conjugate gradient method in an improved version of the computer code FENT. Numerical and analytical comparisons of the angular approximations are made.

Original languageEnglish (US)
Pages (from-to)205-217
Number of pages13
JournalNuclear Science and Engineering
Volume57
Issue number3
DOIs
StatePublished - 1975

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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