Accession Number : AD0697155

Title :   FINITE DIFFERENCE METHODS FOR THE SOLUTION OF GAMMA-RAY TRANSPORT PROBLEMS.

Descriptive Note : Final rept. 16 Apr 68-1 Apr 69,

Corporate Author : NORTH AMERICAN ROCKWELL CORP CANOGA PARK CALIF ATOMICS INTERNATIONAL DIV

Personal Author(s) : O'Reilly,Bruce D.

Report Date : JAN 1969

Pagination or Media Count : 60

Abstract : In an earlier study, it was shown by applying variational synthesis techniques that the gamma-ray transport equation in two and three space dimensions can be approximated by a system of first-order partial differential equations in the space variables only. The purely space-dependent character of the approximate formulation permits attention to be focused on the geometric aspects of real structures. The work reported herein describes the development of finite difference methods to solve the two-dimensional problem in a structure composed of many adjacent rectangular cells. Similarly, finite difference methods have been developed to solve the three-dimensional problem in a single rectangular cell. Flow charts for adapting both calculations to digital computer solution are presented. The application of the two-dimensional model to the description of the Kansas State University vertical barrier experiment is also discussed. (Author)

Descriptors :   (*GAMMA RAYS, SHIELDING), TRANSPORT PROPERTIES, STRUCTURES, DIFFERENCE EQUATIONS, NUMERICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, FLOW CHARTING

Subject Categories : Nuclear Radiation Shield, Protection & Safety

Distribution Statement : APPROVED FOR PUBLIC RELEASE