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

Barry 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
Volume1
StatePublished - 2008
EventInternational Conference on the Physics of Reactors 2008, PHYSOR 08 - Interlaken, Switzerland
Duration: Sep 14 2008Sep 19 2008

Other

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

Fingerprint

Linear algebra
physical exercise
mathematics
algebra

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Nuclear and High Energy Physics

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 (Vol. 1, pp. 582-588)

Extension of the 1D four-group analytic nodal method to full multigroup. / Ganapol, Barry D; Nigg, D. W.

International Conference on the Physics of Reactors 2008, PHYSOR 08. Vol. 1 2008. p. 582-588.

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

Ganapol, BD & Nigg, DW 2008, Extension of the 1D four-group analytic nodal method to full multigroup. in International Conference on the Physics of Reactors 2008, PHYSOR 08. vol. 1, pp. 582-588, International Conference on the Physics of Reactors 2008, PHYSOR 08, Interlaken, Switzerland, 9/14/08.
Ganapol BD, Nigg DW. Extension of the 1D four-group analytic nodal method to full multigroup. In International Conference on the Physics of Reactors 2008, PHYSOR 08. Vol. 1. 2008. p. 582-588
Ganapol, Barry D ; Nigg, D. W. / Extension of the 1D four-group analytic nodal method to full multigroup. International Conference on the Physics of Reactors 2008, PHYSOR 08. Vol. 1 2008. pp. 582-588
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