Convergence analysis of fixed-point iteration with Anderson Acceleration on a simplified neutronics/thermal-hydraulics system Article Swipe
Jaejin Lee
,
Han Gyu Joo
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1016/j.net.2021.08.005
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1016/j.net.2021.08.005
In-depth convergence analyses for neutronics/thermal-hydraulics (T/H) coupled calculations are performed to investigate the performance of nonlinear methods based on the Fixed-Point Iteration (FPI). A simplified neutronics-T/H coupled system consisting of a single fuel pin is derived to provide a testbed. The xenon equilibrium model is considered to investigate its impact during the nonlinear iteration. A problem set is organized to have a thousand different fuel temperature coefficients (FTC) and moderator temperature coefficients (MTC). The problem set is solved by the Jacobi and Gauss-Seidel (G-S) type FPI. The relaxation scheme and the Anderson acceleration are applied to improve the convergence rate of FPI. The performances of solution schemes are evaluated by comparing the number of iterations and the error reduction behavior. From those numerical investigations, it is demonstrated that the number of FPIs is increased as the feedback is stronger regardless of its sign. In addition, the Jacobi type FPIs generally shows a slower convergence rate than the G-S type FPI. It also turns out that the xenon equilibrium model can cause numerical instability for certain conditions. Lastly, it is figured out that the Anderson acceleration can effectively improve the convergence behaviors of FPI, compared to the conventional relaxation scheme. (c) 2021 Korean Nuclear Society, Published by Elsevier Korea LLC. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Related Topics
Concepts
Neutron transport
Acceleration
Convergence (economics)
Applied mathematics
Rate of convergence
Nonlinear system
Relaxation (psychology)
Solver
Fixed point
Mathematics
Mathematical optimization
Physics
Computer science
Mathematical analysis
Classical mechanics
Nuclear physics
Channel (broadcasting)
Economics
Psychology
Computer network
Neutron
Economic growth
Quantum mechanics
Social psychology
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.net.2021.08.005
- OA Status
- diamond
- Cited By
- 12
- References
- 16
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3188077784
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3188077784Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.net.2021.08.005Digital Object Identifier
- Title
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Convergence analysis of fixed-point iteration with Anderson Acceleration on a simplified neutronics/thermal-hydraulics systemWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-08-04Full publication date if available
- Authors
-
Jaejin Lee, Han Gyu JooList of authors in order
- Landing page
-
https://doi.org/10.1016/j.net.2021.08.005Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
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https://doi.org/10.1016/j.net.2021.08.005Direct OA link when available
- Concepts
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Neutron transport, Acceleration, Convergence (economics), Applied mathematics, Rate of convergence, Nonlinear system, Relaxation (psychology), Solver, Fixed point, Mathematics, Mathematical optimization, Physics, Computer science, Mathematical analysis, Classical mechanics, Nuclear physics, Channel (broadcasting), Economics, Psychology, Computer network, Neutron, Economic growth, Quantum mechanics, Social psychologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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12Total citation count in OpenAlex
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2025: 3, 2024: 5, 2023: 2, 2022: 2Per-year citation counts (last 5 years)
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16Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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