The Milne problem using the P-N method for a nonabsorbing medium with linearly anisotropic scattering


GÜLEÇYÜZ M. Ç., Ersoy A.

TURKISH JOURNAL OF PHYSICS, vol.41, no.4, pp.285-294, 2017 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.3906/fiz-1610-26
  • Journal Name: TURKISH JOURNAL OF PHYSICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.285-294
  • Keywords: P-N method, Milne problem, extrapolated endpoint, nonabsorbing medium, specular and diffuse reflectivity, anisotropic scattering, DIFFUSE REFLECTING BOUNDARY
  • Ankara University Affiliated: Yes

Abstract

The Milne problem, known as one of the classical problems of radiative transfer and neutron transport theory, is solved using the P-N method for a nonabsorbing medium (c = 1) with a linearly anisotropic scattering kernel. Specular and diffuse reflection boundary conditions are taken into account. The numerical results are listed for different selected parameters. Some results are also compared with the literature.