On the stability of the Discrete Generalized Multigroup method
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jon the stability ournal_paper.pdf
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390.22 KB
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Checksum (MD5)
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Author(s)
Gibson, Nathan A.
Forget, Benoit
Gibson, Nathan Andrew
Forget, Benoit Robert Yves
Date Issued
January 2014
Journal
Annals of Nuclear Energy
Publisher
Elsevier
Citation
Gibson, Nathan A., and Forget, Benoit. “On the Stability of the Discrete Generalized Multigroup Method.” Annals of Nuclear Energy 65 (March 2014): 421–432. © 2013 Elsevier Ltd
Version
Author's final manuscript
Abstract
This paper investigates the stability of the recondensation procedure of the Discrete Generalized Multigroup method and proposes alternatives to improve stability of the original formulation. Instabilities are shown to happen when employing a simple Picard fixed point iteration and an ill-informed group mapping scheme. This work presents a mapping procedure that improves stability of the original method for fine group calculations. Additionally, a relaxation scheme, Krasnoselskij iteration, is introduced to the fixed point iteration to further improve the stability characteristics and remove the need for fine group flux updates. Both improvements are applied on heterogeneous problems using the SHEM361 and the NG2042 group structures. The results indicate improved stability from a well-informed group mapping and demonstrate the possibility of eliminating the need for fine group flux updates.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/j.anucene.2013.11.032
