IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v18y2025i11p2880-d1668675.html
   My bibliography  Save this article

Review of the Discrete-Ordinates Method for Particle Transport in Nuclear Energy

Author

Listed:
  • Yingchi Yu

    (Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
    University of Chinese Academy of Sciences, Beijing 100049, China)

  • Xin He

    (Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
    University of Chinese Academy of Sciences, Beijing 100049, China)

  • Maosong Cheng

    (Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
    University of Chinese Academy of Sciences, Beijing 100049, China)

  • Zhimin Dai

    (Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
    University of Chinese Academy of Sciences, Beijing 100049, China)

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.

Suggested Citation

  • Yingchi Yu & Xin He & Maosong Cheng & Zhimin Dai, 2025. "Review of the Discrete-Ordinates Method for Particle Transport in Nuclear Energy," Energies, MDPI, vol. 18(11), pages 1-33, May.
    • Handle: RePEc:gam:jeners:v:18:y:2025:i:11:p:2880-:d:1668675
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/18/11/2880/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/18/11/2880/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yong Cheng & Shuihua Yang & Zhifeng Huang, 2021. "Ray Effects and False Scattering in Improved Discrete Ordinates Method," Energies, MDPI, vol. 14(20), pages 1-14, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:18:y:2025:i:11:p:2880-:d:1668675. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.