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

Barry D Ganapol, E. H. Mund

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

2 Citations (Scopus)

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
Volume3
StatePublished - 2008
EventInternational Conference on the Physics of Reactors 2008, PHYSOR 08 - Interlaken, Switzerland
Duration: Sep 14 2008Sep 19 2008

Other

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

Fingerprint

kinetic equations
reactors
Kinetics
Geometry
geometry
Demonstrations
Fluxes
perturbation
cross sections

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Nuclear and High Energy Physics

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 (Vol. 3, pp. 1865-1870)

Acceleration of the numerical solution of the reactor kinetics equations in plane geometry. / Ganapol, Barry D; Mund, E. H.

International Conference on the Physics of Reactors 2008, PHYSOR 08. Vol. 3 2008. p. 1865-1870.

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

Ganapol, BD & Mund, EH 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. vol. 3, pp. 1865-1870, International Conference on the Physics of Reactors 2008, PHYSOR 08, Interlaken, Switzerland, 9/14/08.
Ganapol BD, Mund EH. Acceleration of the numerical solution of the reactor kinetics equations in plane geometry. In International Conference on the Physics of Reactors 2008, PHYSOR 08. Vol. 3. 2008. p. 1865-1870
Ganapol, Barry D ; Mund, E. H. / Acceleration of the numerical solution of the reactor kinetics equations in plane geometry. International Conference on the Physics of Reactors 2008, PHYSOR 08. Vol. 3 2008. pp. 1865-1870
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