Accession Number:

AD0600986

Title:

MODIFIED P2 APPROXIMATIONS TO THE NEUTRON TRANSPORT EQUATION.

Descriptive Note:

Corporate Author:

DAVID TAYLOR MODEL BASIN WASHINGTON D C

Personal Author(s):

• Dawson,Charles

Report Date:

1964-04-01

Pagination or Media Count:

23.0

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

Descriptors:

• (*NEUTRON TRANSPORT THEORY
• EQUATIONS)
• (*DIFFUSION
• THEORY)
• REACTOR MODERATORS
• GEOMETRIC FORMS
• NEUTRON FLUX
• POLYNOMIALS
• HARMONIC ANALYSIS
• INTEGRAL EQUATIONS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE