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

38 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.",
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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 -