TRUNCATION ERRORS IN NUMERICAL SOLUTIONS OF THE TRANSPORT EQUATION

Abstract

The numerical solution is given of the transport equation for monoenergetic neutrons in a medium with isotropic scattering. The object is to determine the accuracy of the numerial methods generally used to solve the transport equation. The analyss is largely confined to the solution of the criticality problem for homogeneos slabs. A ritcality problem in X-Y geometry is also considered. The criterion of accurcy used is the difference between c, the number of secondary neutrons per collision required for criticality, and an approximation to c given by an N-parameter approximate method. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1962
Accession Number
AD0282968

Entities

People

  • John H. Bennett

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boltzmann Equation
  • Collisions
  • Equations
  • Errors
  • Geometry
  • Mathematics
  • Scattering
  • Transport Ships
  • Truncation

Fields of Study

  • Physics

Readers

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