| Issue |
EPJ Nuclear Sci. Technol.
Volume 11, 2025
Special Issue on ‘Overview of recent advances in HPC simulation methods for nuclear applications’, edited by Andrea Zoia, Elie Saikali, Cheikh Diop and Cyrille de Saint Jean
|
|
|---|---|---|
| Article Number | 58 | |
| Number of page(s) | 14 | |
| DOI | https://doi.org/10.1051/epjn/2025051 | |
| Published online | 30 September 2025 | |
https://doi.org/10.1051/epjn/2025051
Regular Article
Derivation and verification of the direct-sampling method for simulating Monte Carlo flight paths in tetrahedral meshes with linear finite-element cross sections
Los Alamos National Laboratory, Monte Carlo Codes Group, Los Alamos, NM, 87545, United States
* e-mail: vaquer@lanl.gov
Received:
20
May
2025
Received in final form:
19
July
2025
Accepted:
4
August
2025
Published online: 30 September 2025
This paper provides a derivation of a direct-sampling approach for modeling continuously varying cross sections in tetrahedral-mesh-based Monte Carlo codes. Specifically, cross sections are spatially approximated using linear nodal finite elements. A linearization strategy is provided for non-linearly varying cross sections. The method is verified against seven analytical pure-absorber test problems. These test problems also highlight the benefit of using linear finite elements over element-wise-constant cross sections.
© P.A. Vaquer et al., Published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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