APPLICATION OF THE CARLSON Sn-METHOD TO CALCULATION OF NEUTRON ANGULAR AND TOTAL FLUX DISTRIBUTIONS IN A SPHERICALLY SYMMETRIC SHIELD. Theory and Preliminary Numerical Results

Technical Report · Sun May 15 04:00:00 EDT 1960

OSTI ID:4143965

Edmonson, N; Henrick, J J; Moss, T A

The S/sub n/-method for calculating numerical approximations to solutions of the Boltzmann transport equation is developed for a spherically symmetric shield system. Anisotropic elastic scattering is assumed. Energy- group transfer coefficients are developed by using the Dirac delta -function and by a mapping procedure. Formulas for transforming cross-section data from the center-of-mass coordinate system to the laboratory coordinate system are given. A general matrix formulation for the anisotropic case is constructed. The procedures are applied to the computation of angular neutron distributions and total neutron distributions in water shields 80 and 120 cm in radius for Watt fission sources uniformly distributed in a small sphere concentric with the water shields. (auth)

• Research Organization: Convair, Fort Worth, Tex.
• NSA Number: NSA-14-018542
• OSTI ID: 4143965
• Report Number(s): NARF-60-11T; MR-N-253
• Country of Publication: United States
• Language: English

Related Subjects

ANGULAR DISTRIBUTION
ANISOTROPY
BOLTZMANN EQUATION
CARLSON METHOD
CROSS SECTIONS
DELTA FUNCTION
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELASTIC SCATTERING
ENERGY
GROUP THEORY
MATHEMATICS
MATRICES
NEUTRON FLUX
NEUTRON SOURCES
NEUTRONS
NUMERICALS
PHYSICS
SCATTERING
SHIELDING
SHIELDING MATERIALS
SPHERES
TRANSPORT THEORY
WATER