Fourier mode analysis of source iteration in spatially periodic media

Journal Article · Thu Dec 31 04:00:00 EST 1998 · Transactions of the American Nuclear Society

OSTI ID:298299

Zika, M R ^[1]; Larsen, E W ^[2]

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1. Lawrence Livermore National Lab., CA (United States)
2. Univ. of Michigan, Ann Arbor, MI (United States)

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.

• OSTI ID: 298299
• Report Number(s): CONF-981106--
• Journal Information: Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 79; ISSN 0003-018X; ISSN TANSAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
EIGENVALUES
FOURIER ANALYSIS
ITERATIVE METHODS
SLABS
TRANSPORT THEORY