Journal of Computational and Applied Mathematics2022,Vol.4019.DOI:10.1016/j.cam.2021.113768

Transport synthetic acceleration for the solution of the one-speed nonclassical spectral S-N equations in slab geometry

Patel, J. K. Moraes, L. R. C. Vasques, R. Barros, R. C.
Journal of Computational and Applied Mathematics2022,Vol.4019.DOI:10.1016/j.cam.2021.113768

Transport synthetic acceleration for the solution of the one-speed nonclassical spectral S-N equations in slab geometry

Patel, J. K. 1Moraes, L. R. C. 2Vasques, R. 1Barros, R. C.2
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作者信息

  • 1. Ohio State Univ
  • 2. Univ Estado Rio de Janeiro
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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. (C) 2021 Elsevier B.V. All rights reserved.

Key words

Nonclassical transport/Spectral method/Discrete ordinates/Synthetic acceleration/Slab geometry/GENERALIZED RADIATIVE-TRANSFER/BOLTZMANN-EQUATION/PARTICLE-TRANSPORT/PATH-LENGTH/APPROXIMATIONS/GAS

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
被引量1
参考文献量41
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