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Numerical stability of the predictor-corrector method in Monte Carlo burnup calculations of critical reactors
KTH, School of Engineering Sciences (SCI), Physics, Reactor Technology.ORCID iD: 0000-0002-7943-7517
2013 (English)In: Annals of Nuclear Energy, ISSN 0306-4549, E-ISSN 1873-2100, Vol. 56, p. 34-38Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2013. Vol. 56, p. 34-38
Keywords [en]
Monte Carlo burnup calculations, Predictor-corrector method, Numerical stability
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-123001DOI: 10.1016/j.anucene.2013.01.018ISI: 000317946000005Scopus ID: 2-s2.0-84873688492OAI: oai:DiVA.org:kth-123001DiVA, id: diva2:624653
Funder
EU, European Research Council, 295971Swedish Radiation Safety Authority
Note

QC 20130603

Available from: 2013-06-03 Created: 2013-05-31 Last updated: 2017-12-06Bibliographically approved

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Dufek, Jan

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