
Accession Number : AD0674610
Title : THE SPM (STOCHASTIC PROCESS METHOD) EQUATION FOR CALCULATING THE SPATIAL VARIATION OF NEUTRON SPECTRA.
Descriptive Note : Rept. for May 59May 60,
Corporate Author : CONTROL DATA CORP MELVILLE N Y TRG DIV
Personal Author(s) : Klahr,Carl N. ; Zell,H. Julius
Report Date : SEP 1960
Pagination or Media Count : 159
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)
Descriptors : (*NEUTRON SPECTRUM, *STOCHASTIC PROCESSES), PARTIAL DIFFERENTIAL EQUATIONS, SHIELDING, NEUTRON FLUX, INELASTIC SCATTERING, FISSION, DIFFUSION, NUMERICAL ANALYSIS
Subject Categories : Fission Reactor Physics
Nuclear Physics & Elementary Particle Physics
Distribution Statement : APPROVED FOR PUBLIC RELEASE