An Asymptotic Study of Discretized Transport Equations in the Fokker-Planck Limit
Nuclear Science and Engineering / Volume 140 / Number 1 / January 2002 / Pages 51-69
Technical Paper / dx.doi.org/10.13182/NSE02-A2244
Articles are hosted by Taylor and Francis Online.
ANS Members, if you subscribe to Nuclear Science and Engineering, please log in before accessing the article.
Recent analyses have shown that the Fokker-Planck equation is an asymptotic limit of the transport equation given a forward-peaked scattering kernel satisfying certain constraints. Discretized transport equations in the same limit are studied, both by asymptotic analysis and by numerical testing. It is shown that spatially discretized discrete ordinates transport solutions can be accurate in this limit if and only if the scattering operator is handled in a certain nonstandard way.
