Three-dimensional transport method for LMFBR shielding design analysis

A fast three-dimensional design-oriented transport method is developed for the solution of both neutron and gamma shielding problems. It combines a nodal approach with analytic integral transport to achieve relative speed and accuracy. It is inherently three-dimensional and can accommodate high-order anisotropic scattering. Although evaluated primarily for LMFBR shielding configurations, the method has potential for useful application in other particle transport problems. An analytic solution is obtained for each of 14 angular fluxes in each mesh block within a three-dimensional assembly. The directions are such that the outgoing angular flux components in one mesh block become the incoming angular flux components in the adjacent mesh blocks. The approach is therefore described as the Direct Coupled Ray (DCR) method