An Inline Burnup Algorithm

P. Cosgrove (Corresponding Author), E. Shwageraus, J. Leppänen

Research output: Contribution to journalArticleScientificpeer-review


Inline algorithms have been proposed for coupling Monte Carlo neutron transport solvers with several other physics, such as xenon and iodine densities and thermal hydraulics. This paper proposes a new inline algorithm that can be applied to burnup calculations. The algorithm is a modification of the predictor-corrector method, where the corrector-step nuclide densities are converged simultaneously with the fission source. This could, in principle, obviate the need for two full neutronics solutions per time-step while still allowing the accuracy of predictor-corrector methods with improved stability. This paper describes the algorithm and demonstrates its stability properties through a Fourier analysis. Although not unconditionally stable, judicious use of batching and relaxation are shown to greatly improve the algorithm’s stability properties in realistic systems.

Original languageEnglish
Number of pages20
JournalNuclear Science and Engineering
Publication statusAccepted/In press - 2022
MoE publication typeA1 Journal article-refereed


  • burn up
  • Monte Carlo
  • Neutronics
  • stability


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