Interior corner problem for the neutron diffusion equation

TL;DRAbstract

The qualitative and quantitative behavior of the solution of the neutron diffusion equation at interior corners of two different 3 materials is investigated.This is 'done by assuming regionwise constant coefficients and sources, reducing the problem to dimensionless form and solving the Neumann problem over a circular disk.The general analytic solution is given, as well as special solutions.A series of parameter studies have been made which include the extreme cases that can occur in neutron diffusion.The results including eigenvalues, eigenfunctions, Fourier coefficients and flux profiles are tabulated and presented in graphical form.It is shown how to select appropriate function w spaces to obtain good numerical methods for coarse network cal-• culations.

Chat with Paper

AI Agents for this Paper