Acceleration of the numerical solution of the reactor kinetics equations in plane geometry

B. D. Ganapol, E. H. Mund

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

2 Scopus citations

Abstract

We apply the mathematical procedure of convergence acceleration to the reactor kinetics equation in plane geometry. The featured concept is to take the most fundamental (consistent) finite difference numerical algorithm and show how, by extrapolating a sequence of solutions, a considerably more accurate solution emerges. We demonstrate this new algorithm on the time evolution of a reactor from an initial critical system to another through perturbation of the cross sections. In the demonstration, we consider convergence of the centreline flux at a specific time and convergence of keff.

Original languageEnglish (US)
Title of host publicationInternational Conference on the Physics of Reactors 2008, PHYSOR 08
Pages1865-1870
Number of pages6
StatePublished - Dec 1 2008
EventInternational Conference on the Physics of Reactors 2008, PHYSOR 08 - Interlaken, Switzerland
Duration: Sep 14 2008Sep 19 2008

Publication series

NameInternational Conference on the Physics of Reactors 2008, PHYSOR 08
Volume3

Other

OtherInternational Conference on the Physics of Reactors 2008, PHYSOR 08
CountrySwitzerland
CityInterlaken
Period9/14/089/19/08

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Nuclear and High Energy Physics

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  • Cite this

    Ganapol, B. D., & Mund, E. H. (2008). Acceleration of the numerical solution of the reactor kinetics equations in plane geometry. In International Conference on the Physics of Reactors 2008, PHYSOR 08 (pp. 1865-1870). (International Conference on the Physics of Reactors 2008, PHYSOR 08; Vol. 3).