METHODS OF FLUX ITERATION FOR SOLUTION OF NEUTRON DIFFUSION PROBLEMS IN r-/ THETA/ GEOMETRY

Technical Report · Mon Oct 21 00:00:00 EDT 1963

OSTI ID:4116364

MacMillan, D B

In connection with a project request that r- theta capability be added to KARE, an investigation was made to determine what method shoaid be used for flux iteration. Azimuthal SLOR (successive line overrelaxation, with the lines being curves of constant radius) is compared with radial SLOR and ADI (alternating-direction-implicit) iteration methods. It is concluded that azimuthal SLOR should converge several times faster than the other two methods. Difference equation coefficients derived for neutron diffusion in r- theta geometry by a variational method are compared with the coefficients derived by the standard method and used in CURE. (auth)

• Research Organization: Knolls Atomic Power Lab., Schenectady, N.Y.
• DOE Contract Number: W-31-109-ENG-52
• NSA Number: NSA-18-009292
• OSTI ID: 4116364
• Report Number(s): KAPL-M-DBM-3
• Resource Relation: Other Information: Orig. Receipt Date: 31-DEC-64
• Country of Publication: United States
• Language: English

Related Subjects

PHYSICS
C-CODES
CONFIGURATION
DIFFUSION
EQUATIONS
MATHEMATICS
NEUTRON FLUX
NUMERICALS
VARIATIONAL METHOD