Application of Walsh Functions to Neutron Transport Problems—II. Analysis

The results obtained from the solution of the expansion coefficient equations obtained in the preceding paper for the Walsh approximation are given for both one and two dimensions. Since the one-dimensional analysis was performed mainly to lay a foundation for the two-dimensional analysis, only a brief summary of the one-dimensional results is given. The two-dimensional analysis was performed on a problem type that accentuates ray effects. Solutions obtained with various Walsh and Gauss-Walsh quadrature sets are shown; these solutions provide substantial mitigation of the ray effect, yet retain a reasonable degree of accuracy in the calculation of volumetric reaction rates.