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An improved Fokker-Planck angular differencing scheme

Journal Article · · Nucl. Sci. Eng.; (United States)
OSTI ID:5934553

An analysis is performed that shows that the standard three-point difference scheme for the Fokker-Planck angular diffusion operator rigorusly preserves the zeroth angular moment, but not the first moment. As a result, the scheme does not give the exact diffusion solution in the diffusion limit. This deficiency is eliminated by means of a simple modification of the scheme. The three-point structure and positivity of the original scheme are retained in the modified scheme.

Research Organization:
Los Alamos National Laboratory, Applied Theoretical Physics Division, Los Alamos, NM
OSTI ID:
5934553
Journal Information:
Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 89:2; ISSN NSENA
Country of Publication:
United States
Language:
English