Self-Collision Rebalancing Technique for the MCI Characteristics Solver

Abstract

In this paper, we present a new acceleration technique, called SelfCollision Rebalancing (SCR) technique, for the method of characteristics applied to solving the transport equation in general 3D geometries with isotropic boundary conditions. Isotropic sources and scattering are assumed. By scanning the tracking lines, the total incoming flux is calculated for each discritized region and is thereafter supposed constant. An energy group rebalancing algorithm is applied for each region by using his self-collision probabilities. The out-going boundary current is adjusted according to the rebalanced flux in the conjunctive region. This SCR technique needs very little programming effort for its implementation and requires very little memory. Application of the SCR method significantly accelerates the resolution of multigroup problems without disturbing the final results.