Application of Adjoint Difference and Surface Integral Methods to Selected Deep-Penetration Radiation Transport Problems

Abstract

A comparison of the Surface Integral and Adjoint Difference tecchniques are presented in the report. The comparison is made from a brief theoretical development of each method and by the results obtained using each method for several radiation transport problems of the class of a target located in air (or air-ground interface) far removed from a point neutron source. Most targets considered thus far do not contain fissile materials; however, it is demonstrated that the calculational tools employed in this study are applicable to such targets. The theoretical considerations lead to the conclusion that an error is associated with the Surface Integral technique, but this error will probably be small for the class of problems considered herein. In contrast to this, the Adjoint Difference technique is exact. The numerical results presented agree with these predictions.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1973
Accession Number
AD0765487

Entities

People

  • J. C. Robinson
  • P. N. Stevens
  • T. J. Hoffman

Organizations

  • University of Tennessee

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Gaps
  • Boltzmann Equation
  • Coordinate Systems
  • Detectors
  • Energy Bands
  • Equations
  • Fissile Materials
  • Geometry
  • Integrals
  • Materials
  • Radiation
  • Radiation Shielding
  • Radiative Transfer
  • Three Dimensional
  • Transport Ships
  • Two Dimensional
  • Vehicles

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Solar Physics