Optimization of multi-group energy structures for solving the neutron transport equation
We develop a framework to determine an optimal broad group structure of the energy variable when solving the neutron transport equation, starting from a fine structure. This broad group structure is required to perform the energy condensation method, where the fine group cross sections are collapsed...
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EDP Sciences
2024-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2024/12/epjconf_snamc2024_02007.pdf |
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| author | Do Minh-Hieu Ammar Karim Gerard Castaing Nicolas |
| author_facet | Do Minh-Hieu Ammar Karim Gerard Castaing Nicolas |
| author_sort | Do Minh-Hieu |
| collection | DOAJ |
| description | We develop a framework to determine an optimal broad group structure of the energy variable when solving the neutron transport equation, starting from a fine structure. This broad group structure is required to perform the energy condensation method, where the fine group cross sections are collapsed into the broad group cross sections. In this optimization work, we study the objective function based on the error of the reaction rates and the k-effective as well. Moreover, together with the automatic coarse energy (ACE) algorithm proposed in [1] and the particle swarm optimization (PSO) usually applied to optimize the broad group structure, we introduce the Leave Group Out (LGO) and Add Group In (AGI) approaches. Numerical results for the core calculation are investigated to illustrate the performance of the proposed algorithms. |
| format | Article |
| id | doaj-art-d587a8be78ad4306ae191df5bdab73f3 |
| institution | OA Journals |
| issn | 2100-014X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj-art-d587a8be78ad4306ae191df5bdab73f32025-08-20T02:10:38ZengEDP SciencesEPJ Web of Conferences2100-014X2024-01-013020200710.1051/epjconf/202430202007epjconf_snamc2024_02007Optimization of multi-group energy structures for solving the neutron transport equationDo Minh-Hieu0Ammar Karim1Gerard Castaing Nicolas2Université Paris-Saclay, CEA, Service d’Études des Réacteurs et de Mathématiques AppliquéesUniversité Paris-Saclay, CEA, Service d’Études des Réacteurs et de Mathématiques AppliquéesUniversité Paris-Saclay, CEA, Service d’Études des Réacteurs et de Mathématiques AppliquéesWe develop a framework to determine an optimal broad group structure of the energy variable when solving the neutron transport equation, starting from a fine structure. This broad group structure is required to perform the energy condensation method, where the fine group cross sections are collapsed into the broad group cross sections. In this optimization work, we study the objective function based on the error of the reaction rates and the k-effective as well. Moreover, together with the automatic coarse energy (ACE) algorithm proposed in [1] and the particle swarm optimization (PSO) usually applied to optimize the broad group structure, we introduce the Leave Group Out (LGO) and Add Group In (AGI) approaches. Numerical results for the core calculation are investigated to illustrate the performance of the proposed algorithms.https://www.epj-conferences.org/articles/epjconf/pdf/2024/12/epjconf_snamc2024_02007.pdf |
| spellingShingle | Do Minh-Hieu Ammar Karim Gerard Castaing Nicolas Optimization of multi-group energy structures for solving the neutron transport equation EPJ Web of Conferences |
| title | Optimization of multi-group energy structures for solving the neutron transport equation |
| title_full | Optimization of multi-group energy structures for solving the neutron transport equation |
| title_fullStr | Optimization of multi-group energy structures for solving the neutron transport equation |
| title_full_unstemmed | Optimization of multi-group energy structures for solving the neutron transport equation |
| title_short | Optimization of multi-group energy structures for solving the neutron transport equation |
| title_sort | optimization of multi group energy structures for solving the neutron transport equation |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2024/12/epjconf_snamc2024_02007.pdf |
| work_keys_str_mv | AT dominhhieu optimizationofmultigroupenergystructuresforsolvingtheneutrontransportequation AT ammarkarim optimizationofmultigroupenergystructuresforsolvingtheneutrontransportequation AT gerardcastaingnicolas optimizationofmultigroupenergystructuresforsolvingtheneutrontransportequation |