Fourier mode analysis of source iteration in spatially periodic media
- Lawrence Livermore National Lab., CA (United States)
- 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-; ISSN 0003-018X; TRN: 99:001930
- Journal Information:
- Transactions of the American Nuclear Society, Vol. 79; Conference: American Nuclear Society winter meeting, Washington, DC (United States), 15-19 Nov 1998; Other Information: PBD: 1998
- Country of Publication:
- United States
- Language:
- English
Similar Records
Fourier mode analysis of slab-geometry transport iterations in spatially periodic media
Convergence analysis of the angular-dependent rebalance iteration method in X-Y geometry