New Weighted-Difference Formulation for Discrete-Ordinates Calculations

摘要

One of the shortcomings of the method of discrete ordinates has been a tendency to generate negative estimates of inherently positive fluxes due to over-extrapolation. A new formulation presented here shows a repair of the shortcomings of previous methods to solve this problem by the introduction of an arbitrary parameter, theta. The theta-weighted difference method is seen as giving results as accurate as any while possessing the desired smooth convergence. The exact choice of theta is unimportant. 4 figures, 2 tables. (ERA citation 03:016164)