The HN method for solving linear transport equation: Theory and applications

Tezcan C., Kaskas A., Gulecyuz M.

Journal of Quantitative Spectroscopy and Radiative Transfer, cilt.78, sa.2, ss.243-254, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Sayı: 2
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0022-4073(02)00224-8
  • Dergi Adı: Journal of Quantitative Spectroscopy and Radiative Transfer
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.243-254
  • Anahtar Kelimeler: half-space albedo, slab albedo, critical slab, linear transport equation, 3RD FORM, SINGULAR EIGENFUNCTIONS, FN METHOD, PLANE GEOMETRY, ALBEDO-PROBLEM, SLAB
  • Ankara Üniversitesi Adresli: Evet

Özet

The system of singular integral equations which is obtained from the integro-differential form of the linear transport equation using the Placzek lemma is solved. The exit distributions at the boundaries of the various media and the infinite medium Green's function are used. The process is applied to the half-space and finite slab problems. The neutron angular density in terms of singular eigenfunctions of the method of elementary solutions is also used to derive the same analytical expressions. © 2003 Elsevier Science Ltd. All rights reserved.