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

B. D. Ganapol; E. H. Mund

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

B. D. Ganapol, E. H. Mund

Aerospace and Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 k_eff.

Original language	English (US)
Title of host publication	International Conference on the Physics of Reactors 2008, PHYSOR 08
Publisher	Paul Scherrer Institut
Pages	1865-1870
Number of pages	6
ISBN (Print)	9781617821219
State	Published - 2008
Event	International Conference on the Physics of Reactors 2008, PHYSOR 08 - Interlaken, Switzerland Duration: Sep 14 2008 → Sep 19 2008

Publication series

Name	International Conference on the Physics of Reactors 2008, PHYSOR 08
Volume	3

Other

Other	International Conference on the Physics of Reactors 2008, PHYSOR 08
Country	Switzerland
City	Interlaken
Period	9/14/08 → 9/19/08

ASJC Scopus subject areas

Nuclear Energy and Engineering
Nuclear and High Energy Physics

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Cite this

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

International Conference on the Physics of Reactors 2008, PHYSOR 08. Paul Scherrer Institut, 2008. p. 1865-1870 (International Conference on the Physics of Reactors 2008, PHYSOR 08; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference 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. International Conference on the Physics of Reactors 2008, PHYSOR 08, vol. 3, Paul Scherrer Institut, pp. 1865-1870, International Conference on the Physics of Reactors 2008, PHYSOR 08, Interlaken, Switzerland, 9/14/08.

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