A spherical harmonics method utilizing polynomials which are both angularly and spatially dependent

Journal Article · Sun Jan 01 04:00:00 EST 1984 · Nucl. Sci. Eng.; (United States)

OSTI ID:6695850

Badham, V C; Pomraning, G C

A new method for solving the Boltzmann equation is presented and shown to generalize the ''classical'' spherical harmonics method. This new method utilizes polynomials that are spatially, as well as angularly, dependent and allows for the exact representation of the angular flux under certain conditions. The ideas behind using different truncation procedures as a means of truncating the infinite set of exact spherical harmonics equations to a finite set of approximate equations and allowing this procedure to supply more transport information to these approximate equations are explored. Preliminary results are also presented that show the differences and similarities of these methods as they relate to the exact results.

• Research Organization: Univ. of California, Los Angeles, School of Eng. and Applied Science, Los Angeles, CA
• OSTI ID: 6695850
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 86:1; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
ANGULAR DISTRIBUTION
BOLTZMANN EQUATION
CALCULATION METHODS
COMPARATIVE EVALUATIONS
CONFIGURATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION
EQUATIONS
FUNCTIONS
HARMONICS
KINETICS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
POLYNOMIALS
REACTOR KINETICS
SPACE DEPENDENCE
SPHERICAL CONFIGURATION