Fundamental properties and characteristics of flux distribution tallies using proper orthogonal decomposition
The flux distribution tallies using the proper orthogonal decomposition (POD) called “the POD tallies” have been developed in our previous study. The POD tallies can achieve dimensionality and statistical uncertainty reduction for a finely discretized flux distribution. Some characteristics of the P...
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EDP Sciences
2025-01-01
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| Series: | EPJ Nuclear Sciences & Technologies |
| Online Access: | https://www.epj-n.org/articles/epjn/full_html/2025/01/epjn20250012/epjn20250012.html |
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| author | Kondo Ryoichi Yamamoto Akio Endo Tomohiro |
| author_facet | Kondo Ryoichi Yamamoto Akio Endo Tomohiro |
| author_sort | Kondo Ryoichi |
| collection | DOAJ |
| description | The flux distribution tallies using the proper orthogonal decomposition (POD) called “the POD tallies” have been developed in our previous study. The POD tallies can achieve dimensionality and statistical uncertainty reduction for a finely discretized flux distribution. Some characteristics of the POD tallies, which are left by our previous work, are revealed in the present study. Firstly, the POD tallies with the track length estimator are newly implemented. Since the statistical uncertainty of the POD tallies is reduced compared with the cell tallies, the POD tallies with the track length estimator can obtain the most precise result among the present implantations. Secondly, the basis vectors obtained by the deterministic and the stochastic methods are compared. The statistical uncertainty of the snapshot data invokes the degradation of the extracted basis vectors. This result indicates that the deterministic method might be more efficient for the snapshot calculation. Finally, the impact of the covariances of expansion coefficients on the statistical uncertainty of expanded flux distribution is investigated. The reconstructed statistical uncertainty considering only the variances of the expansion coefficients differs from the reference. This result reveals that the covariances of the expansion coefficients are important to estimate the statistical uncertainty of the local flux in the flux distribution. |
| format | Article |
| id | doaj-art-2b433e115dce4625bb4c6bb7c11afa6c |
| institution | OA Journals |
| issn | 2491-9292 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Nuclear Sciences & Technologies |
| spelling | doaj-art-2b433e115dce4625bb4c6bb7c11afa6c2025-08-20T02:05:52ZengEDP SciencesEPJ Nuclear Sciences & Technologies2491-92922025-01-01112110.1051/epjn/2025019epjn20250012Fundamental properties and characteristics of flux distribution tallies using proper orthogonal decompositionKondo Ryoichi0https://orcid.org/0000-0001-8901-0157Yamamoto Akio1https://orcid.org/0000-0002-2896-3488Endo Tomohiro2https://orcid.org/0000-0002-6644-4398Nuclear Science and Engineering Center, Japan Atomic Energy AgencyDepartment of Applied Energy, Graduate School of Engineering, Nagoya UniversityDepartment of Applied Energy, Graduate School of Engineering, Nagoya UniversityThe flux distribution tallies using the proper orthogonal decomposition (POD) called “the POD tallies” have been developed in our previous study. The POD tallies can achieve dimensionality and statistical uncertainty reduction for a finely discretized flux distribution. Some characteristics of the POD tallies, which are left by our previous work, are revealed in the present study. Firstly, the POD tallies with the track length estimator are newly implemented. Since the statistical uncertainty of the POD tallies is reduced compared with the cell tallies, the POD tallies with the track length estimator can obtain the most precise result among the present implantations. Secondly, the basis vectors obtained by the deterministic and the stochastic methods are compared. The statistical uncertainty of the snapshot data invokes the degradation of the extracted basis vectors. This result indicates that the deterministic method might be more efficient for the snapshot calculation. Finally, the impact of the covariances of expansion coefficients on the statistical uncertainty of expanded flux distribution is investigated. The reconstructed statistical uncertainty considering only the variances of the expansion coefficients differs from the reference. This result reveals that the covariances of the expansion coefficients are important to estimate the statistical uncertainty of the local flux in the flux distribution.https://www.epj-n.org/articles/epjn/full_html/2025/01/epjn20250012/epjn20250012.html |
| spellingShingle | Kondo Ryoichi Yamamoto Akio Endo Tomohiro Fundamental properties and characteristics of flux distribution tallies using proper orthogonal decomposition EPJ Nuclear Sciences & Technologies |
| title | Fundamental properties and characteristics of flux distribution tallies using proper orthogonal decomposition |
| title_full | Fundamental properties and characteristics of flux distribution tallies using proper orthogonal decomposition |
| title_fullStr | Fundamental properties and characteristics of flux distribution tallies using proper orthogonal decomposition |
| title_full_unstemmed | Fundamental properties and characteristics of flux distribution tallies using proper orthogonal decomposition |
| title_short | Fundamental properties and characteristics of flux distribution tallies using proper orthogonal decomposition |
| title_sort | fundamental properties and characteristics of flux distribution tallies using proper orthogonal decomposition |
| url | https://www.epj-n.org/articles/epjn/full_html/2025/01/epjn20250012/epjn20250012.html |
| work_keys_str_mv | AT kondoryoichi fundamentalpropertiesandcharacteristicsoffluxdistributiontalliesusingproperorthogonaldecomposition AT yamamotoakio fundamentalpropertiesandcharacteristicsoffluxdistributiontalliesusingproperorthogonaldecomposition AT endotomohiro fundamentalpropertiesandcharacteristicsoffluxdistributiontalliesusingproperorthogonaldecomposition |