IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-07171-3_18.html
   My bibliography  Save this book chapter

On the Use of the Adjoint Technique to the Estimation of Neutron Source Distributions in the Context of Subcritical Nuclear Reactors

In: Integral Methods in Science and Engineering

Author

Listed:
  • L. R. C. Moraes

    (Universidade do Estado do Rio de Janeiro (UERJ))

  • R. C. Barros

    (Universidade do Estado do Rio de Janeiro (UERJ))

Abstract

Presented here is a more general description of the methodology that makes use of the adjoint technique to estimate the neutron source distribution required to drive a subcritical system to a prescribed distribution of power. This methodology is based on a relation between a linear functional with respect to the neutron angular flux and the importance function, also termed adjoint angular flux, which represents, in the context of this work, the contribution that one neutron inserted into the system has to the generation of power. The neutron transport equation and the equation which is adjoint to it are correlated through a reciprocity relation, leading to a relationship between the source of neutrons and the power produced by the system. An example is given to illustrate the application of the present methodology.

Suggested Citation

  • L. R. C. Moraes & R. C. Barros, 2022. "On the Use of the Adjoint Technique to the Estimation of Neutron Source Distributions in the Context of Subcritical Nuclear Reactors," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Paul J. Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 261-276, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-07171-3_18
    DOI: 10.1007/978-3-031-07171-3_18
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    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:spr:sprchp:978-3-031-07171-3_18. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.