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

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0697155

Entities

People

  • Bruce D. O'reilly

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Computers
  • Differential Equations
  • Digital Computers
  • Equations
  • Gamma Rays
  • Partial Differential Equations
  • Three Dimensional
  • Transport Ships
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Technical Research and Report Writing.

Technology Areas

  • Space