An Approximation to the Solution of the Transport Equation and Calculation of Diffusion Lengths in Multiplying Media
Abstract
Various anisotropic scattering kernels are presented to solve the transport equation in multiplying media, and calculations are also performed for the isotropic scattering case and the non-multiplying medium to enable a meaningful comparison. Henyey–Greenstein-like scattering kernel is employed to model anisotropic scattering of neutrons. The effect of anisotropic scattering on the diffusion length of a multiplying slab is investigated using the Legendre polynomial expansion method. A comprehensive numerical analysis of diffusion lengths was performed to represent the fuel system in a nuclear reactor.
Fields of Study & Subjects
Differential Equations and Numerical Methods
Advanced Mathematical Modeling in Engineering
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Journal of Computational and Theoretical Transport
- Publisher
- Informa UK Limited
- Volume
- 55
- Issue
- 2
- Pages
- 190–199
- Publication date
- 4 February 2026
- Language
- EN