CUED Publications database

Numerical stability of the predictor-corrector method in Monte Carlo burnup calculations of critical reactors

Dufek, J and Kotlyar, D and Shwageraus, E and Leppänen, J (2013) Numerical stability of the predictor-corrector method in Monte Carlo burnup calculations of critical reactors. Annals of Nuclear Energy, 56. pp. 34-38. ISSN 0306-4549

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Abstract

Monte Carlo burnup codes use various schemes to solve the coupled criticality and burnup equations. Previous studies have shown that the simplest methods, such as the beginning-of-step and middle-of-step constant flux approximations, are numerically unstable in fuel cycle calculations of critical reactors. Here we show that even the predictor-corrector methods that are implemented in established Monte Carlo burnup codes can be numerically unstable in cycle calculations of large systems. © 2013 Elsevier Ltd. All rights reserved.

Item Type: Article
Uncontrolled Keywords: Monte Carlo burnup calculations Numerical stability Predictor-corrector method
Subjects: UNSPECIFIED
Divisions: Div A > Energy
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:28
Last Modified: 16 Dec 2014 19:06
DOI: 10.1016/j.anucene.2013.01.018