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

J. Dufek (Corresponding Author), D. Kotlyar, E. Shwageraus, Jaakko Leppänen

    Research output: Contribution to journalArticleScientificpeer-review

    40 Citations (Scopus)

    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.
    Original languageEnglish
    Pages (from-to)34-38
    Number of pages5
    JournalAnnals of Nuclear Energy
    Volume56
    DOIs
    Publication statusPublished - 2013
    MoE publication typeA1 Journal article-refereed

    Fingerprint

    Convergence of numerical methods
    Fluxes

    Keywords

    • Monte Carlo burnup calculations
    • numerical stability
    • predictor-corrector method

    Cite this

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    title = "Numerical stability of the predictor-corrector method in Monte Carlo burnup calculations of critical reactors",
    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.",
    keywords = "Monte Carlo burnup calculations, numerical stability, predictor-corrector method",
    author = "J. Dufek and D. Kotlyar and E. Shwageraus and Jaakko Lepp{\"a}nen",
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    doi = "10.1016/j.anucene.2013.01.018",
    language = "English",
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    pages = "34--38",
    journal = "Annals of Nuclear Energy",
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    Numerical stability of the predictor-corrector method in Monte Carlo burnup calculations of critical reactors. / Dufek, J. (Corresponding Author); Kotlyar, D.; Shwageraus, E.; Leppänen, Jaakko.

    In: Annals of Nuclear Energy, Vol. 56, 2013, p. 34-38.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - Numerical stability of the predictor-corrector method in Monte Carlo burnup calculations of critical reactors

    AU - Dufek, J.

    AU - Kotlyar, D.

    AU - Shwageraus, E.

    AU - Leppänen, Jaakko

    PY - 2013

    Y1 - 2013

    N2 - 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.

    AB - 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.

    KW - Monte Carlo burnup calculations

    KW - numerical stability

    KW - predictor-corrector method

    U2 - 10.1016/j.anucene.2013.01.018

    DO - 10.1016/j.anucene.2013.01.018

    M3 - Article

    VL - 56

    SP - 34

    EP - 38

    JO - Annals of Nuclear Energy

    JF - Annals of Nuclear Energy

    SN - 0306-4549

    ER -