THE SPM (STOCHASTIC PROCESS METHOD) EQUATION FOR CALCULATING THE SPATIAL VARIATION OF NEUTRON SPECTRA.
Abstract
The SPM equation is a second order partial differential equation in lethargy (or energy) and spatial coordinates. It promises to describe the slowing down and spatial diffusion of neutrons with sufficient accuracy for shielding problems and for other applications where neutron flux spectra are critical. A primitive SPM with infinite orders of derivatives is first obtained from either the Smoluchowski or Boltzmann equations. It is then truncated after the second order derivatives. The coefficients of two forms of this equation are obtained and suitable boundary conditions are given. A code has been written to solve this equation on the 1103A Univac. Various solutions are given. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1960
- Accession Number
- AD0674610
Entities
People
- Carl N. Klahr
- H. Julius Zell
Organizations
- Control Data Corporation