2022
DOI: 10.3390/en15062245
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Development of a Trajectory Period Folding Method for Burnup Calculations

Abstract: In this paper, we present a trajectory period folding method for numerical modelling of nuclear transformations. The method uses the linear chain method, commonly applied for modelling of isotopic changes in matter. The developed method folds two consecutive periods of time and forms linear chain representations. In the same way as in the linear chain method, the mass flow of straight nuclide-to-nuclide transitions following the formation of nuclide transmutation chains in every step is considered over the tot… Show more

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Cited by 17 publications
(16 citation statements)
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“…The Trajectory Period Folding (TPF) approach can be feasibly utilized to model nuclear transformations numerically. The basis of the technique is the linear chain method, often utilized for modeling isotropic changes in matter [12]. Based on Stanisz, Oettingen, and Cetnar's description, to build linear chain depictions, TPF folds in two successive periods [12].…”
Section: Recently Developed Methods For Burnup Calculations 221 Traje...mentioning
confidence: 99%
See 3 more Smart Citations
“…The Trajectory Period Folding (TPF) approach can be feasibly utilized to model nuclear transformations numerically. The basis of the technique is the linear chain method, often utilized for modeling isotropic changes in matter [12]. Based on Stanisz, Oettingen, and Cetnar's description, to build linear chain depictions, TPF folds in two successive periods [12].…”
Section: Recently Developed Methods For Burnup Calculations 221 Traje...mentioning
confidence: 99%
“…The basis of the technique is the linear chain method, often utilized for modeling isotropic changes in matter [12]. Based on Stanisz, Oettingen, and Cetnar's description, to build linear chain depictions, TPF folds in two successive periods [12]. Over the cumulative period of interest, what is considered is the linear nuclide-to-nuclide mass flow of transitions following each phase's creation of nuclide transmutation chains.…”
Section: Recently Developed Methods For Burnup Calculations 221 Traje...mentioning
confidence: 99%
See 2 more Smart Citations
“…For instance, in the case of new fuel cladding concepts such as ATFs, Monte Carlo has the ability to produce reliable radial distributions without the need for correction formula nor the implementation of approximations to account for fuel self-shielding. In another instance, the geometry approach in Monte Carlo is based on universes, cells, and surfaces, which allows the modelling of practically any two-or three-dimensional reactor configuration [26][27][28][29]. Furthermore, Monte Carlo has the capacity to predict various neutronic characteristics throughout temporal progression.…”
Section: Serpentmentioning
confidence: 99%