T-N method for the critical thickness of one-speed neutrons in a slab with forward and backward scattering


Ozturk H., Anli F., Gungor S.

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, cilt.105, ss.211-216, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 105 Konu: 2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jqsrt.2006.12.002
  • Dergi Adı: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
  • Sayfa Sayısı: ss.211-216

Özet

The critical slab problem in the case of combination of forward and backward scattering with usual isotropic scattering is studied for one-speed neutrons in a uniform finite slab by using TN method based on Chebyshev polynomial approximation and Marshak boundary conditions. It is shown that TN method gives accurate results in one-dimensional geometry and is very efficient both in derivation of equations and rapid convergence. Numerical results obtained by TN method are compared against the PN method in tabular form, which agreed quite well. (c) 2006 Elsevier Ltd. All rights reserved.