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

abstract

• 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.

authors

• Morel, Jim

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

publisher

• Taylor & Francis  Publisher

published in

• Transport Theory and Statistical Physics  Journal

Digital Object Identifier (DOI)

• 10.1080/00411458408211661

start page

• 615

end page

• 633

volume

• 13

issue

• 5

URL

• http://dx.doi.org/10.1080/00411458408211661