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
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Received:
20
May
2025
Received in final form:
19
July
2025
Accepted:
4
August
2025
Published online: 30 September 2025
Abstract
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.
