Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral S_N Equations in Slab Geometry

2021/05/24 by Japan K. Patel, Patel, Japan K., Leonardo R. C. Moraes +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear Theory (nucl-th) #math-ph #math.MP #nucl-th

paper · pdf · doi:10.48550/arxiv.2105.11083

14 pages, 2 figures

arxiv created 2021/05/24 · arxiv updated 2021/05/25

Abstract

The nonclassical transport equation models particle transport processes in which the particle flux does not decrease as an exponential function of the particle's free-path. Recently, a spectral approach was developed to generate nonclassical spectral S_N equations, which can be numerically solved in a deterministic fashion using classical numerical techniques. This paper introduces a transport synthetic acceleration procedure to speed up the iteration scheme for the solution of the monoenergetic slab-geometry nonclassical spectral S_N equations. We present numerical results that confirm the benefit of the acceleration procedure for this class of problems.

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