TY - GEN

T1 - Acceleration of the numerical solution of the reactor kinetics equations in plane geometry

AU - Ganapol, B. D.

AU - Mund, E. H.

N1 - Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:79953886908

SN - 9781617821219

T3 - International Conference on the Physics of Reactors 2008, PHYSOR 08

SP - 1865

EP - 1870

BT - International Conference on the Physics of Reactors 2008, PHYSOR 08

PB - Paul Scherrer Institut

T2 - International Conference on the Physics of Reactors 2008, PHYSOR 08

Y2 - 14 September 2008 through 19 September 2008

ER -