A highly accurate algorithm for the solution of the point kinetics equations

Research output: Contribution to journalArticle

37 Scopus citations

Abstract

Attempts to resolve the point kinetics equations (PKEs) describing nuclear reactor transients have been the subject of numerous articles and texts over the past 50 years. Some very innovative methods, such as the RTS (Reactor Transient Simulation) and CAC (Continuous Analytical Continuation) methods of G.R. Keepin and J. Vigil respectively, have been shown to be exceptionally useful. Recently however, several authors have developed methods they consider accurate without a clear basis for their assertion. In response, this presentation will establish a definitive set of benchmarks to enable those developing PKE methods to truthfully assess the degree of accuracy of their methods. Then, with these benchmarks, two recently published methods, found in this journal will be shown to be less accurate than claimed and a legacy method from 1984 will be confirmed.

Original languageEnglish (US)
Pages (from-to)564-571
Number of pages8
JournalAnnals of Nuclear Energy
Volume62
DOIs
StatePublished - Jan 14 2013

Keywords

  • Backward Euler finite difference
  • Convergence acceleration
  • Point kinetics equations
  • Romberg acceleration

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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