Extension of the 1D four-group analytic nodal method to full multigroup

B. D. Ganapol, D. W. Nigg

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the mid 80's, a four-group/two-region, entirely analytical 1D nodal benchmark appeared. It was readily acknowledged that this special case was as far as one could go in terms of group number and still achieve an analytical solution. In this work, we show that by decomposing the solution to the multigroup diffusion equation into homogeneous and particular solutions, extension to any number of groups is a relatively straightforward exercise using the mathematics of linear algebra.

Original languageEnglish (US)
Title of host publicationInternational Conference on the Physics of Reactors 2008, PHYSOR 08
Pages582-588
Number of pages7
StatePublished - Dec 1 2008
EventInternational Conference on the Physics of Reactors 2008, PHYSOR 08 - Interlaken, Switzerland
Duration: Sep 14 2008Sep 19 2008

Publication series

NameInternational Conference on the Physics of Reactors 2008, PHYSOR 08
Volume1

Other

OtherInternational Conference on the Physics of Reactors 2008, PHYSOR 08
CountrySwitzerland
CityInterlaken
Period9/14/089/19/08

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Nuclear and High Energy Physics

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  • Cite this

    Ganapol, B. D., & Nigg, D. W. (2008). Extension of the 1D four-group analytic nodal method to full multigroup. In International Conference on the Physics of Reactors 2008, PHYSOR 08 (pp. 582-588). (International Conference on the Physics of Reactors 2008, PHYSOR 08; Vol. 1).