A superposition method to calculate the interaction effect between bodies in diffusion theory

摘要

We introduce a method for calculating the neutron flux around a finite number of spheres arranged in-line. The method uses the concept of superposition in which the solution for a group of spheres is composed of a sum of solutions for the individual spheres. We illustrate the method by a simple example based on a chain of highly absorbing spheres in a non-absorbing moderator and show that it converges rapidly to the exact solution.