SUMMARY

Multiple acceleration techniques for the solution of eigenvalue problems in neutron transport have been developed in CRMP lab in recent years. These include several promising methods based off of the Consistent Spatial Homogenization (CSH) method which have been developed and implemented in 1-D. I have previously developed the Diffusion-Transport hybrid Homogenization (DTH) method and its enhanced version. I will improve the CSH and DTH methods, and I will implement the methods to solve full 3-D neutronics benchmark problems.

The methods involve iterated homogenization of the neutron transport equation with an auxiliary source term used to correct for the heterogeneity of the problem. The homogenization process allows simple implementation of low-order acceleration, and the iterated re-homogenization allows for the full heterogeneous solutions to be computed. The novelty will come from its implementation in higher dimensionality as well as improvements to the spatial, angular, and energy variable approximations used in the method. Computational speedups of a factor of 10 or better are expected from this work.