An Improved Fokker-Planck Angular Differencing Scheme Academic Article uri icon

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.

author list (cited authors)

  • Morel, J. E.

citation count

  • 28

publication date

  • February 1985