Extension of the ID four-group analytic nodal method to full multigroup

摘要

In the mid 80's, a four-group/two-region, entirely analytical ID nodal benchmark appeared. It was readily acknowledged that this special case was as far as one could go in terms of group number and still achieve an analytical solution. In this work, we show that by decomposing the solution to the multigroup diffusion equation into homogeneous and particular solutions, extension to any number of groups is a relatively straightforward exercise using the mathematics of linear algebra.