A Laplace transform method for energy multigroup hybrid discrete ordinates slab lattice calculations

Segatto, C. F. and Vilhena, M. T. and Barros, R. C. (2010) A Laplace transform method for energy multigroup hybrid discrete ordinates slab lattice calculations. Il nuovo cimento C, 33 (1). pp. 231-238. ISSN 1826-9885

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Abstract

In typical lattice cells where a highly absorbing, small fuel element is embedded in the moderator, a large weakly absorbing medium, high-order transport methods become unnecessary. In this work we describe a hybrid discrete ordinates (SN) method for energy multigroup slab lattice calculations. This hybrid SN method combines the convenience of a low-order SN method in the moderator with a high-order SN method in the fuel. The idea is based on the fact that in weakly absorbing media whose physical size is several neutron mean free paths in extent, even the S2 method (P1 approximation), leads to an accurate result. We use special fuel-moderator interface conditions and the Laplace transform (LTSN) analytical numerical method to calculate the two-energy group neutron flux distributions and the thermal disadvantage factor. We present numerical results for a range of typical model problems.

Item Type: Article
Uncontrolled Keywords: Neutron transport: diffusion and moderation
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 31 Mar 2020 15:42
Last Modified: 31 Mar 2020 15:42
URI: http://eprints.bice.rm.cnr.it/id/eprint/16819

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