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Author Zika, M. R. ♦ Larsen, E. W.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ FOURIER ANALYSIS ♦ TRANSPORT THEORY ♦ ITERATIVE METHODS ♦ EIGENVALUES ♦ SLABS
Abstract The standard Fourier mode analysis is an indispensable tool when designing acceleration techniques for transport iterations; however, it requires the assumption of a homogeneous infinite medium. For problems of practical interest, material heterogeneities may significantly impact iterative performance. Recent work has applied a Fourier analysis to the discretized two-dimensional transport operator with heterogeneous material properties. The results of these analyses may be difficult to interpret because the heterogeneity effects are inherently coupled to the discretization effects. Here, the authors describe a Fourier analysis of source iteration (SI) that allows the calculation of the eigenvalue spectrum for the one-dimensional continuous transport operator with spatially periodic heterogeneous media.
ISSN 0003018X
Educational Use Research
Learning Resource Type Article
Publisher Date 1998-12-31
Publisher Place United States
Journal Transactions of the American Nuclear Society
Volume Number 79
Technical Publication No. CONF-981106-


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