Analysis and elimination of the discrete-ordinates flux dip Academic Article uri icon


  • A new theoretical analysis is presented for the discrete-ordinates flux dip in one-dimensional spherical geometry. It is found that the flux dip is due to an inconsistency between the discrete-ordinates equations (in the diffusion limit) and the diffusion equation. It is theoretically shown that this inconsistency (and hence the flux dip) can be completely eliminated through the use of a simple angular weighted-diamond difference scheme. Computational results are given which confirm the theoretical analysis. The technique has been extended to one-dimensional cylindrical geometry and has been found to be equally effective. Extensions to multi-dimensional geometries appear to be straightforward, but they have not been investigated. 1984, Taylor & Francis Group, LLC. All rights reserved.

published proceedings

  • Transport theory and statistical physics

author list (cited authors)

  • Morel, J. E., & Montry, G. R.

citation count

  • 18

complete list of authors

  • Morel, JE||Montry, GR

publication date

  • January 1984