A spectral approach for solving the nonclassical transport equation

JOURNAL OF COMPUTATIONAL PHYSICS

卷:402

Article

Vasques, R.¹  Moraes, L. R. C.²  Barros, R. C.²  Slaybaugh, R. N.³ 

[1] Ohio State Univ, Dept Mech & Aerosp Engn, 201 W 19th Ave, Columbus, OH 43210 USA

[2] Univ Estado Rio de Janeiro, Dept Modelagem Computac IPRJ, Rua Bonfim 25, BR-28625570 Nova Friburgo, RJ, Brazil

[3] Univ Calif Berkeley, Dept Nucl Engn, 4155 Etcheverry Hall, Berkeley, CA 94720 USA

关键词: Nonclassical transport;    Spectral method;    Random media;    Discrete ordinates;    Slab geometry;   

DOI  :  10.1016/j.jcp.2019.109078

来源: Elsevier

【 摘 要 】

This paper introduces a mathematical approach that allows one to numerically solve the nonclassical transport equation in a deterministic fashion using classical numerical procedures. The nonclassical transport equation describes particle transport for random statistically homogeneous systems in which the distribution function for free-paths between scattering centers is nonexponential. We use a spectral method to represent the nonclassical flux as a series of Laguerre polynomials in the free-path variable s, resulting in a nonclassical equation that has the form of a classical transport equation. We present numerical results that validate the spectral approach, considering transport in slab geometry for both classical and nonclassical problems in the discrete ordinates formulation. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free