An angular multigrid acceleration technique for S sub n equations with highly forward-peaked scattering

Journal Article · Mon Apr 01 00:00:00 EST 1991 · Nuclear Science and Engineering; (United States)

OSTI ID:5308325

Morel, J E ^[1]; Manteuffel, T A ^[2]

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1. Los Alamos National Lab., Radiation Transport Group, X-6 M.S. B226, Los Alamos, NM (US)
2. Colorado Univ., Denver, CO (United States). Dept. of Mathematics

This paper reports on an angular multigrid method for the S{sub n} equations which has been developed that is much more effective for highly forward-peaked scattering than the diffusion synthetic acceleration (DSA) method. Only one-dimensional slab geometry is considered in this study, but it appears that this method can be generalized to curvilinear and multidimensional geometries. The new method is derived, theoretically analyzed, and computationally tested. The angular multigrid method costs only about twice as much as the DSA method, but it gives a spectral radius of 0.6 in the asymptotic forward-peaked Foker-Planck scattering limit, whereas the diffusion synthetic method gives a spectral radius of unity.

• OSTI ID: 5308325
• Journal Information: Nuclear Science and Engineering; (United States), Vol. 107:4; ISSN 0029-5639
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
22 GENERAL STUDIES OF NUCLEAR REACTORS
REACTOR KINETICS
CALCULATION METHODS
SLABS
RADIATION TRANSPORT
SCATTERING
KINETICS
654003* - Radiation & Shielding Physics- Neutron Interactions with Matter
220100 - Nuclear Reactor Technology- Theory & Calculation