An Improved Fokker-Planck Angular Differencing Scheme
- 1 February 1985
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 89 (2) , 131-136
- https://doi.org/10.13182/nse85-a18187
Abstract
An analysis is performed that shows that the standard three-point difference scheme for the Fokker-Planck angular diffusion operator rigorously 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.Keywords
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