ITERATIVE SOLUTION METHODS FOR TWO-DIMENSIONAL FINITE ELEMENT APPROXIMATIONS IN NEUTRON TRANSPORT.

Y. C. Yuan*, E. E. Lewis, W. F. Miller

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Three iterative methods are applied to finite element discretizations of the one-group even-parity transport equation: point and block successive overrelaxation (SOR), and accelerated block SOR. Two memory allocation schemes are used. The first permits arbitrary triangulation of the spatial domain, while the second is restricted to rectangular grids. For fixed angular approximation, the coefficient matrix memory requirement for the first is proportional to the number of spatial mesh points, while that for the second is proportional to only the number of material regions. Comparison calculations indicate that block SOR is more efficient than either point SOR or the conjugate gradient method used previously. Graphs are appended.

Original languageEnglish (US)
Pages (from-to)85-100
Number of pages16
Journal[No source information available]
StatePublished - Jan 1 2017

ASJC Scopus subject areas

  • Engineering(all)

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