Abstract
This work extends the application of functional expansion tallies to 3D spherical geometries. The 3D Zernike polynomials are set as an orthonormal polynomial basis for the functional reconstruction. The study describes the construction of the complete set of polynomials, a natural expansion of the spherical harmonics polynomials where 3D Zernike moments can be evaluated as a linear combination of the geometrical moments. The 3D Zernike polynomials formulation and the computational approach implemented in Serpent 2 are presented and tested through the Godiva model from the ICSBEP criticality benchmark test cases. The implementation results are in agreement with a reference solution described in a fine-resolution mesh, enhancing also the performance and memory demand.
| Original language | English |
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| Title of host publication | Proceedings of the International Conference on Physics of Reactors (PHYSOR 2022) |
| Publisher | American Nuclear Society (ANS) |
| Pages | 276-283 |
| ISBN (Electronic) | 978-0-89448-787-3 |
| DOIs | |
| Publication status | Published - 20 May 2022 |
| MoE publication type | A4 Article in a conference publication |
| Event | International Conference on Physics of Reactors (PHYSOR 2022) - Pittsburgh, United States Duration: 15 May 2022 → 20 May 2022 https://www.ans.org/pubs/proceedings/issue-3189/ |
Conference
| Conference | International Conference on Physics of Reactors (PHYSOR 2022) |
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| Abbreviated title | PHYSOR 2022 |
| Country/Territory | United States |
| City | Pittsburgh |
| Period | 15/05/22 → 20/05/22 |
| Internet address |
Funding
This work was funded by Fortum & Neste Foundation (Finland), under grant agreement No. 20200149 (2020) - SMR Safety Analysis and Design Framework.
Keywords
- functional expansion tallies
- Serpent 2
- Monte Carlo
- 3D Zernike polynomials