A note on application of superhomogénéisation factors to integro-differential neutron transport equations

The present article focuses on the application of the SPH factor method to the integro-differential neutron transport equation. While leakage-related parameters are arbitrarily corrected by the SPH factors, the correction procedure for these parameters affects the calculation accuracy. We treat two...

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Bibliographic Details
Published in:Journal of nuclear science and technology 2012-02, Vol.49 (2), p.272-280
Main Authors: Chiba, Go, Tsuji, Masashi, Sugiyama, Ken-ichiro, Narabayashi, Tadashi
Format: Article
Language:English
Subjects:
Applied sciences
discontinuity factor
Energy
Energy. Thermal use of fuels
Exact sciences and technology
Fission nuclear power plants
Fuels
homogenization
Installations for energy generation and conversion: thermal and electrical energy
Nuclear fuels
SPH factor
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Summary:The present article focuses on the application of the SPH factor method to the integro-differential neutron transport equation. While leakage-related parameters are arbitrarily corrected by the SPH factors, the correction procedure for these parameters affects the calculation accuracy. We treat two correction procedures named the simultaneous correction and the direct correction, and compare them with each other in one-dimensional colorset assembly problems. Through numerical testing, we find that the simultaneous SPH correction gives better accuracy than the direct SPH correction, and the higher-order SPH-corrected calculations show better accuracy than the low-order ones. Furthermore, to consider the flux discontinuity between different types of assemblies, the improved SPH method proposed by Yamamoto and the SPH method with the Selengut normalization condition are also tested. Numerical results reveal that the both methods significantly improve the calculation accuracy and that the latter method is more robust than the former method.
ISSN:0022-3131
1881-1248
DOI:10.1080/00223131.2011.649083