Milne problem for non-absorbing medium with extremely anisotropic scattering kernel in the case of specular and diffuse reflecting boundaries

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Gulecyuz M. Ç., ŞENYİĞİT M., Ersoy A.

INDIAN JOURNAL OF PHYSICS, cilt.92, sa.1, ss.81-90, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 92 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s12648-017-1078-z
  • Dergi Adı: INDIAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.81-90
  • Anahtar Kelimeler: P-N-method, Milne problem, Extrapolated endpoint, Non-absorbing medium, Specular and diffuse reflectivities, PURE-TRIPLET SCATTERING, NEUTRON-TRANSPORT, ALBEDO PROBLEM, EQUATION, SLAB
  • Ankara Üniversitesi Adresli: Evet

Özet

The Milne problem is studied in one speed neutron transport theory using the linearly anisotropic scattering kernel which combines forward and backward scatterings (extremely anisotropic scattering) for a non-absorbing medium with specular and diffuse reflection boundary conditions. In order to calculate the extrapolated endpoint for the Milne problem, Legendre polynomial approximation (P-N method) is applied and numerical results are tabulated for selected cases as a function of different degrees of anisotropic scattering. Finally, some results are discussed and compared with the existing results in literature.