The Multi-Group Neutron Diffusion Equation in General Geometries Using the Parseval Identity

J. C. L. Fernandes (), F. Oliveira (), B. E. J. Bodmann () and M. T. B. Vilhena ()
Additional contact information
J. C. L. Fernandes: Federal University of Rio Grande do Sul
F. Oliveira: Federal University of Rio Grande do Sul
B. E. J. Bodmann: Federal University of Rio Grande do Sul
M. T. B. Vilhena: Federal University of Rio Grande do Sul

Chapter Chapter 18 in Integral Methods in Science and Engineering, 2015, pp 209-221 from Springer

Abstract: Abstract Multi-group neutron diffusion equation is still one of the most frequently employed equations for nuclear reactor neutronics calculations, although its limitations are well known. The equation is obtained under the assumptions that scattering is isotropic in the laboratory coordinate system and the region of interest is considered piecewise homogeneous, so that the diffusion coefficients are invariant under spatial transforms like translation and others. It is well known, that such a derivation of diffusion theory rests on certain assumptions, i.e. the flux being sufficiently smooth especially by virtue of neutron absorption or production, which is reasonable since the mean free path is typically larger than the dimensions of the fuel cell and moderator space geometry. The solution of the diffusion equation system is obtained by Parseval relation for different kinds of geometry, where fluctuations (higher moments) are neglected. Further, the continuous energy distribution of neutrons is reduced by the use of two energy groups and the results was compared to literature

Keywords: Diffusion Equation; Neutron Problem; Parseval Relation; Integral Transform; General Geometries. (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:spr:sprchp:978-3-319-16727-5_18

Ordering information: This item can be ordered from
http://www.springer.com/9783319167275

DOI: 10.1007/978-3-319-16727-5_18

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().