Three Basic Neutron-Transport Problems in Spherical Geometry

On the radiative transfer in a spherical medium

“…(16) and (17) proximation results are compared with those of Refs. [11,14,19]. The numerical results are given for different sphere radii, and single scattering albedo.…”

“…In this article the Fourier modes method solution is used. This paper primarily presents results for cases considered in previous works of El-Wakil et al [19], Abulwafa [14], Siewert and Grandjean [11], and finally Siewert and Thomas [13].…”

“…The radiative transfer problem with a spherical symmetry is investigated by several methods [7][8][9][10][11][12][13][14][15][16][17][18][19]. In this article the Fourier modes method solution is used.…”

“…Therefore in the literature, the spherical geometry problems can be related to a fictitious slab problem and its odd mode solutions. This is known as pseudo-slab approach [2,11,[19][20][21]. The pseudo-slab approach for the sphere is not required in the application of the Fourier modes method.…”

Pade approximants for linear Boltzmann equation. II. Application to spherical geometry

“…In 95 we calculate the albedo due to the incident radiation on the surface of a finite bare sphere. Numerical calculations for [Ojl] Pad6 approximants are compared with Mordant (1973) results and with Siewert and Grandjean (1979).…”