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Derivation of a stable coupling scheme for Monte Carlo burnup calculations with the thermal-hydraulic feedback
KTH, School of Engineering Sciences (SCI), Physics, Reactor Technology.ORCID iD: 0000-0002-7943-7517
KTH, School of Engineering Sciences (SCI), Physics, Reactor Technology.ORCID iD: 0000-0001-5595-1952
2013 (English)In: Annals of Nuclear Energy, ISSN 0306-4549, E-ISSN 1873-2100, Vol. 62, 260-263 p.Article in journal (Refereed) Published
Abstract [en]

Numerically stable Monte Carlo burnup calculations of nuclear fuel cycles are now possible with the previously derived Stochastic Implicit Euler method based coupling scheme. In this paper, we show that this scheme can be easily extended to include the thermal-hydraulic feedback during the Monte Carlo burnup simulations, while preserving its unconditional stability property. At each time step, the implicit solution (for the end-of-step neutron flux, fuel nuclide densities and thermal-hydraulic conditions) is calculated iteratively by the stochastic approximation; the fuel nuclide densities and thermal-hydraulic conditions are iterated simultaneously. This coupling scheme is derived as stable in theory; i.e.; its stability is not conditioned by the choice of time steps.

Place, publisher, year, edition, pages
2013. Vol. 62, 260-263 p.
Keyword [en]
Coupled calculations, Coupling schemes, Implicit Euler method, Monte Carlo burnup calculations, Numerical stability, Thermal-hydraulic feedback
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-134073DOI: 10.1016/j.anucene.2013.06.025ISI: 000327170800029Scopus ID: 2-s2.0-84880275650OAI: oai:DiVA.org:kth-134073DiVA: diva2:664585
Funder
EU, FP7, Seventh Framework Programme, 295971
Note

QC 20131115

Available from: 2013-11-15 Created: 2013-11-15 Last updated: 2017-12-06Bibliographically approved

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Dufek, JanAnglart, Henryk

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