An improved filtered spherical harmonic method for transport calculations

Conference · Mon Jul 01 00:00:00 EDT 2013

OSTI ID:22212912

Ahrens, C. ^[1]; Merton, S. ^[2]

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1. Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, CO 80401 (United States)
2. Computational Physics Group, AWE Aldermaston, Berkshire (United Kingdom)

Motivated by the work of R. G. McClarren, C. D. Hauck, and R. B. Lowrie on a filtered spherical harmonic method, we present a new filter for such numerical approximations to the multi-dimensional transport equation. In several test problems, we demonstrate that the new filter produces results with significantly less Gibbs phenomena than the filter used by McClarren, Hauck and Lowrie. This reduction in Gibbs phenomena translates into propagation speeds that more closely match the correct propagation speed and solutions that have fewer regions where the scalar flux is negative. (authors)

• Research Organization: American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
• OSTI ID: 22212912
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
APPROXIMATIONS
DESIGN
EQUATIONS
FILTERS
MATHEMATICAL SOLUTIONS
SPHERICAL CONFIGURATION
SPHERICAL HARMONICS
TRANSPORT THEORY
VELOCITY