A RANDOM WALK TREATMENT OF NEUTRON DIFFUSION IN SLABS
Abstract
The concept of a Markov chain was used to treat the random process of scatter and absorption which occur when neutrons are incident on a slab of finite thickness, such as a shield or an inside wall of a shelter entranceway. It is assumed that scattering is isotropic in the laboratory system and that the scattering and absorption cross sections do not change during a neutron- scattering history. The encouraging results obtained to date indicate that for thin slabs the analytical random walk method may have important advantages over Monte Carlo calculations (which require lengthy computer runs to obtain acceptably small statistical variances), moments method calculations (which are actually appropriate only for infinite medium cases), and numerical solutions of the neutron transport equation (which are lengthy, tedious, and necessarily approximate).
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1966
- Accession Number
- AD0640260
Entities
People
- C. M. Huddleston
- M. L. Eaton
Organizations
- Naval Facilities Engineering Service Center