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A fast multigrid algorithm for isotropic transport problems .2. With absorption

delete1996-11-01
delete13
PRE
AI
T
Thomas A. Manteuffel
S
Steve McCormick
J
Jim E. Morel
G
Gang Yang
DOI：10.1137/S1064827593251435delete
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Abstract

Abstract

En 中文
A multigrid method for solving the one-dimensional slab-geometry S-N equations with isotropic scattering and absorption is presented. The case with no absorption was treated in part I of this paper [Manteuffel, McCormick, Morel, Oliveira, and Yang, SIAM J. Sci. Comput., 16 (1995), pp. 601-635]. Relaxation is based on a two-cell inversion, which is very efficient because it takes advantage of the structure of the two-cell problem. For interpolation we use kinked linear elements. The kink is based on the amount of absorption present. The restriction operator is full weighting. Numerical results show this algorithm to be faster than diffusion synthetic acceleration (DSA) in all regimes. This scheme is also well suited for massively parallel computer architectures.
Keywords:
multigrid
particle transport

Journal

SIAM Journal on Scientific Computing cover
SIAM Journal on Scientific Computing
IF:
2.6
Papers:
5.1K
Citations:
1.8W

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