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The stochastic implicit Euler method - A stable coupling scheme for Monte Carlo burnup calculations
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. 60, 295-300 p.Article in journal (Refereed) Published
Abstract [en]

Existing Monte Carlo burnup codes use various schemes to solve the coupled criticality and bumup equations. Previous studies have shown that the coupling schemes of the existing Monte Carlo burnup codes can be numerically unstable. Here we develop the Stochastic Implicit Euler method - a stable and efficient new coupling scheme. The implicit solution is obtained by the stochastic approximation at each time step. Our test calculations demonstrate that the Stochastic Implicit Euler method can provide an accurate solution to problems where the methods in the existing Monte Carlo burnup codes fail.

Place, publisher, year, edition, pages
2013. Vol. 60, 295-300 p.
Keyword [en]
Monte Carlo burnup calculations, Coupling schemes, Numerical stability
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-127731DOI: 10.1016/j.anucene.2013.05.015ISI: 000322854700036Scopus ID: 2-s2.0-84879054009OAI: oai:DiVA.org:kth-127731DiVA: diva2:646145
Funder
EU, FP7, Seventh Framework Programme, 295971
Note

QC 20130906

Available from: 2013-09-06 Created: 2013-09-05 Last updated: 2017-12-06Bibliographically approved

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Dufek, Jan

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