The Milne problem using the P$_{N}$ method for a nonabsorbing medium with linearly anisotropic scattering

Authors

MUSTAFA ÇETİN GÜLEÇYÜZ
AHMET ERSOY

DOI

10.3906/fiz-1610-26

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.

Keywords

P$_{N}$ method, Milne problem, extrapolated endpoint, nonabsorbing medium, specular and diffuse reflectivity, anisotropic scattering

First Page

285

Last Page

294

Recommended Citation

GÜLEÇYÜZ, MUSTAFA ÇETİN and ERSOY, AHMET (2017) "The Milne problem using the P$_{N}$ method for a nonabsorbing medium with linearly anisotropic scattering," Turkish Journal of Physics: Vol. 41: No. 4, Article 1. https://doi.org/10.3906/fiz-1610-26
Available at: https://journals.tubitak.gov.tr/physics/vol41/iss4/1