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Improved discrete ordinates calculations for an approximate model of neutral particle transport in ducts

Journal Article · · Nuclear Science and Engineering
DOI:https://doi.org/10.13182/NSE99-1· OSTI ID:687541
;  [1]
  1. Centro Tecnico Aeroespacial, Sao Jose dos Campos, Sao Paulo (Brazil). Inst. de Estudos Avancados

An improved implementation of the discrete ordinates method for computing neutral particle transport in ducts is presented. The considered one-dimensional model makes use of two basic functions to represent the transverse and azimuthal dependencies of the particle angular flux in the duct. It is shown that if the problem is decomposed into uncollided and collided problems prior to using the discrete ordinates approximation, the number of ordinates necessary to achieve a desired degree of accuracy in the solution can be greatly reduced, especially for long ducts with significant wall absorption. Further savings in computer time can be attained by employing a composite quadrature based on a (nonstandard) half-range quadrature that can be generated in an effective and efficient way with one of the classical methods in the constructive theory of orthogonal polynomials.

Sponsoring Organization:
USDOE
OSTI ID:
687541
Journal Information:
Nuclear Science and Engineering, Journal Name: Nuclear Science and Engineering Journal Issue: 1 Vol. 133; ISSN NSENAO; ISSN 0029-5639
Country of Publication:
United States
Language:
English

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