A fast multigrid algorithm for isotropic transport problems II: With absorption

Journal Article · Fri Nov 01 00:00:00 EST 1996 · SIAM Journal on Scientific Computing

DOI:https://doi.org/10.1137/S1064827593251435· OSTI ID:413364

Manteuffel, T; McCormick, S ^[1]; Morel, J ^[2]; Yang, G ^[3]

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1. Univ. of Colorado, Boulder, CO (United States). Applied Mathematics
2. Los Alamos National Lab., NM (United States). Computer Research Group
3. Univ. of Colorado, Denver, CO (United States). Center for Computational Mathematics

A multigrid method for solving the one-dimensional slab-geometry S{sub N} equations with isotropic scattering and absorption is presented. 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 the authors 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.

• Sponsoring Organization: National Science Foundation, Washington, DC (United States); USDOE, Washington, DC (United States)
• DOE Contract Number: FG03-93ER25165
• OSTI ID: 413364
• Journal Information: SIAM Journal on Scientific Computing, Vol. 17, Issue 6; Other Information: PBD: Nov 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
TRANSPORT THEORY
DISCRETE ORDINATE METHOD
ALGORITHMS
NEUTRAL-PARTICLE TRANSPORT
PARALLEL PROCESSING
COMPUTER ARCHITECTURE
NUMERICAL SOLUTION