2024-03-29T13:33:01Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:02001541
2023-01-16T05:16:36Z
320:321:322
A New Resonance Calculation Method Using Energy Expansion Based on a Reduced Order Model
Kondo, Ryoichi
Endo, Tomohiro
Yamamoto, Akio
Takeda, Satoshi
Koike, Hiroki
Yamaji, Kazuya
Sato, Daisuke
Resonance calculation
effective cross section
ultra-fine-group spectrum
reduced order model
singular value decomposition
A Resonance calculation using energy Spectrum Expansion (RSE) method is newly proposed in this paper. In this method, ultra-fine-group (UFG) spectra appearing in a resonance calculation are expanded by orthogonal bases on energy, which are extracted from the UFG spectra obtained in homogeneous geometry with various background cross sections using singular value decomposition and low-rank approximation. Namely, this method is based on the concept of a reduced order model. A neutron transport equation for flux moments (expansion coefficients) similar to the conventional one is derived and is numerically solved. This method applies to two benchmark problems in which a resonance interference effect and spatial self-shielding effect can appear. The results indicate that this method accurately predicts the reference effective cross sections and reaction rates obtained from direct UFG calculation in heterogeneous geometry.
Published online: 25 Jan 2021
journal article
Taylor & Francis
2021
application/pdf
Nuclear Science and Engineering
7
195
694
716
0029-5639
https://nagoya.repo.nii.ac.jp/record/2001541/files/NSE_195_7_pp694-716.pdf
eng
https://doi.org/10.1080/00295639.2020.1863066
This is an Accepted Manuscript of an article published by Taylor & Francis Group in Nuclear Science and Engineering on 25/01/2021, available online: http://www.tandfonline.com/10.1080/00295639.2020.1863066.