APPLICATION OF PHASE-SPACE FINITE ELEMENTS TO THE TWO-DIMENSIONAL NEUTRON TRANSPORT EQUATION IN X-Y GEOMETRY.

W. F. Miller*, E. E. Lewis, E. C. Rossow

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

A functional whose Euler equation is the second-order self-adjoint form of the transport equation is used in conjunction with four-dimensional space-angle phase-space finite elements to derive a set of simultaneous algebraic equations for the even-parity angular flux. Numerical results are presented to demonstrate the elimination of ray effects using the finite element method, and to illustrate the use of phase-space elements that are triangular in the spatial variables.

Original languageEnglish (US)
Pages (from-to)12-22
Number of pages11
JournalNuclear Science and Engineering
Volume52
Issue number1
StatePublished - Jan 1 1973

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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