The SK_N Method I: A High-Order Transport Approximation to Neutron Transport Problems

A high-order transport approximation, the SK_N method, is introduced for solving the integral transport equation. The method relies on approximating the integral transport kernels by a sum of diffusionlike kernels. The integral equation is equivalent to a set of coupled second-order differential equations for which blackbody and reflecting boundary conditions are established. These SK_N equations are solved for benchmark problems. The benchmark problems include one- and two-dimensional homogeneous cell configurations. The solutions using SK_N are compared with discrete ordinates and other high-order transport theory solutions.