MODIFIED P2 APPROXIMATIONS TO THE NEUTRON TRANSPORT EQUATION.

Abstract

The steady-state neutron transport equation for slab geometry is expanded in Legendre polynomials. The expansion is truncated after the third term (P sub 2 equations) and then is modified in an attempt to reduce the truncation error. The resulting equations are, for many problems, a better approximation to the neutron transport equation than the P sub 2 equations or the standard diffusion equations. The method is extended to two and three dimensions by a simplified form of the spherical expansion to the neutron transport equation. Sample results are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1964
Accession Number
AD0600986

Entities

People

  • Charles Dawson

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Diffusion
  • Equations
  • Geometry
  • Mathematics
  • Polynomials
  • Standards
  • Steady State
  • Transport Ships
  • Truncation

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Solar Physics