Review of the Discrete-Ordinates Method for Particle Transport in Nuclear Energy
Yingchi Yu,
Xin He,
Maosong Cheng () and
Zhimin Dai ()
Additional contact information
Yingchi Yu: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
Xin He: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
Maosong Cheng: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
Zhimin Dai: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
Energies, 2025, vol. 18, issue 11, 1-33
Abstract:
The advantages and recent advancements of the Discrete-Ordinates (S N ) Method have established its widespread adoption in particle transport calculations for nuclear energy systems. The mathematical foundations and diverse applications of the S N method are comprehensively summarized in this review. Recent advances are critically evaluated, with particular emphasis placed on advanced discretization techniques, high-performance computing implementations, and hybrid coupling strategies with MC, MOC method, and so on. Despite these developments, challenges remain, including the need for high-fidelity simulations, optimization of computational performance, and the complexity introduced by temporal dependencies in dynamic radiation field calculations, which necessitates innovative numerical methods. Future developments of the S N method are anticipated to address these challenges through enhanced high-fidelity numerical simulation, robust high-performance computing frameworks, multi-physics field coupling, and AI integration. These developments advance the industrial-scale implementation of the S N method in nuclear energy applications, enabling efficient and accurate analyses of complex reactor systems.
Keywords: discrete-ordinates method; nuclear energy; particle transport; high-performance computing; numerical calculation (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:
Downloads: (external link)
https://www.mdpi.com/1996-1073/18/11/2880/pdf (application/pdf)
https://www.mdpi.com/1996-1073/18/11/2880/ (text/html)
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:18:y:2025:i:11:p:2880-:d:1668675
Access Statistics for this article
Energies is currently edited by Ms. Agatha Cao
More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().