Applications of convergence acceleration to particle transport in spherical geometry

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

2 Scopus citations

Abstract

The Boltzmann equation in 1D spherical geometry presents features that are generally encountered in the solution of particle transport in curvilinear geometry. The present paper describes a possible method to obtain highly accurate results by progressively building the solution from lower-order intermediate discretization schemes. Results prove the efficiency of this approach in terms of reduction of inner iterations and computational time. The concept of convergence acceleration can be suitably introduced into the algorithm to improve its performance and to speed up the inner iteration cycle. Finally, the application of extrapolation to the sequence of partial solutions is applied to seek the mesh-independent limiting solution. Several results, for both source and critical problems, are reported and compared to established benchmarks.

Original languageEnglish (US)
Title of host publicationInternational Conference on the Physics of Reactors 2008, PHYSOR 08
Pages660-668
Number of pages9
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

    Picca, P., Ganapol, B. D., & Furfaro, R. (2008). Applications of convergence acceleration to particle transport in spherical geometry. In International Conference on the Physics of Reactors 2008, PHYSOR 08 (pp. 660-668). (International Conference on the Physics of Reactors 2008, PHYSOR 08; Vol. 1).