Milne problem for non-absorbing medium with extremely anisotropic scattering kernel in the case of specular and diffuse reflecting boundaries
INDIAN JOURNAL OF PHYSICS, cilt.92, sa.1, ss.81-90, 2018 (SCI-Expanded, Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.