Charles Bienvenue
, Ahmed Naceur, Jean-François Carrier and Alain Hébert
Article (2025)
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Abstract
A monotone finite-difference scheme is proposed for the multidimensional angular Fokker–Planck operator in discrete ordinates calculations. It is compatible with nonorthogonal quadrature sets on the unit sphere and preserves the null space, the zeroth, and the first three angular moments of the analytical angular Fokker–Planck operator. Numerical results demonstrate that this discretization, combined with the suitable Galerkin quadrature method, eliminates spurious oscillations in the flux solution related to highly anisotropic scattering.
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| Department: |
Department of Mechanical Engineering Department of Engineering Physics |
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| Funders: | NSERC |
| Grant number: | RGPIN-2022-03810, RGPIN-2021-03899 |
| PolyPublie URL: | https://publications.polymtl.ca/64454/ |
| Journal Title: | Nuclear Science and Engineering |
| Publisher: | Taylor & Francis |
| DOI: | 10.1080/00295639.2025.2462891 |
| Official URL: | https://doi.org/10.1080/00295639.2025.2462891 |
| Date Deposited: | 09 Apr 2025 16:10 |
| Last Modified: | 11 Aug 2026 23:43 |
| Cite in APA 7: | Bienvenue, C., Naceur, A., Carrier, J.-F., & Hébert, A. (2025). A flexible, moment-preserving, and monotone discretization of the multidimensional angular Fokker–Planck operator. Nuclear Science and Engineering, 18 pages. https://doi.org/10.1080/00295639.2025.2462891 |
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