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Author

Lee, Deokjung
Computational Reactor physics & Experiment lab (CORE Lab)
Research Interests
  • Reactor Analysis computer codes development

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Impact of Dynamic Condensation of Energy Groups on Convergence Behavior of One-Node CMFD Method for Neutron Diffusion Problem

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Title
Impact of Dynamic Condensation of Energy Groups on Convergence Behavior of One-Node CMFD Method for Neutron Diffusion Problem
Author
Lee, Deokjung
Keywords
Coarse mesh finite difference algorithms;  Convergence behaviors;  Convergence characteristics;  Convergence properties;  Current correction factor;  Linearized algorithms;  Relaxation parameter;  Theoretical derivations
Issue Date
201307
Publisher
AMER NUCLEAR SOC
Citation
NUCLEAR SCIENCE AND ENGINEERING, v.174, no.3, pp.300 - 317
Abstract
The impact of the dynamic condensation of energy groups on the convergence characteristics of the coarse mesh finite difference (CMFD) algorithm has been analyzed within the framework of two-group (2-G) one-node (1-N) local kernel (CMFD1N) and one-group or 2-G global CMFD formulations. Three algorithms were analyzed by the method of linearizing the nonlinear algorithms and applying Fourier analysis to the linearized algorithms: partial current sweep (PCS), CMFD1N, and CMFDIN with dynamic condensation (CMFD1N-DC). Because of the dynamic condensation, the spectral radius of the CMFD1N-DC algorithm is influenced by the other two algorithms; i.e., it shows a similar behavior to the PCS algorithm for small mesh sizes and a similar behavior to the CMFDIN algorithm for large mesh sizes. From the theoretical derivation, it was shown that the spectral radius is determined by the combination of partial current spectrum update in the local PCS kernel and the current correction factor update in the global CMFD. Specifically, the convergence properties of the CMFD1N-DC algorithm follow those of the PCS algorithm for small mesh sizes since the energy spectrum is only updated in the local kernel. It was also observed that the relaxation parameter for the CMFDIN-DC algorithm needs to be determined with the fast group cross-section data because of the dynamic condensation.
URI
http://scholarworks.unist.ac.kr/handle/201301/4257
ISSN
0029-5639
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MNE_Journal Papers
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