Fourier mode analysis of slab-geometry transport iterations in spatially periodic media
We describe a Fourier analysis of the diffusion-synthetic acceleration (DSA) and transport-synthetic acceleration (TSA) iteration schemes for a spatially periodic, but otherwise arbitrarily heterogeneous, medium. Both DSA and TSA converge more slowly in a heterogeneous medium than in a homogeneous medium composed of the volume-averaged scattering ratio. In the limit of a homogeneous medium, our heterogeneous analysis contains eigenvalues of multiplicity two at ''resonant'' wave numbers. In the presence of material heterogeneities, error modes corresponding to these resonant wave numbers are ''excited'' more than other error modes. For DSA and TSA, the iteration spectral radius may occur at these resonant wave numbers, in which case the material heterogeneities most strongly affect iterative performance.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOE Office of Defense Programs (DP) (US)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 14572
- Report Number(s):
- UCRL-JC-133713; DP0101031; DP0101031; TRN: US0106253
- Resource Relation:
- Conference: Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications, Madrid (ES), 09/27/1999--09/30/1999; Other Information: PBD: 1 Apr 1999
- Country of Publication:
- United States
- Language:
- English
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