Benchmarks for the point kinetics equations

B. Ganapol, P. Picca, A. Previti, D. Mostacci

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

A new numerical algorithm is presented for the solution to the point kinetics equations (PKEs), whose accurate solution has been sought for over 60 years. The method couples the simplest of finite difference methods, a backward Euler, with Richardsons extrapolation, also called an acceleration. From this coupling, a series of benchmarks have emerged. These include cases from the literature as well as several new ones. The novelty of this presentation lies in the breadth of reactivity insertions considered, covering both prescribed and feedback reactivities, and the extreme 8- to 9- digit accuracy achievable. The benchmarks presented are to provide guidance to those who wish to develop further numerical improvements.

Original languageEnglish (US)
Title of host publicationInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
Pages2119-2146
Number of pages28
StatePublished - Sep 9 2013
Externally publishedYes
EventInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 - Sun Valley, ID, United States
Duration: May 5 2013May 9 2013

Publication series

NameInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
Volume3

Other

OtherInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
CountryUnited States
CitySun Valley, ID
Period5/5/135/9/13

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Applied Mathematics

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  • Cite this

    Ganapol, B., Picca, P., Previti, A., & Mostacci, D. (2013). Benchmarks for the point kinetics equations. In International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 (pp. 2119-2146). (International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013; Vol. 3).