COMPUTATIONAL EFFICIENCY OF NUMERICAL-METHODS FOR THE MULTIGROUP, DISCRETE-ORDINATES NEUTRON-TRANSPORT EQUATIONS - SLAB GEOMETRY CASE

A study of spatial discretization schemes for the multigroup discrete-ordinates transport equations in slab geometry is described. The purpose of the study is to determine the most computationally efficient method, defined as the one that produces the minimum error for a given cost. The authors define cost as the total amount of computer time required to complete one inner iteration, given a limit on storage, and use three error norms to measure the accuracies of edge fluxes, cell average fluxes, and integral parameters. They study three test problems; the first is a model one-group problem, while the second and third are more realistic multigroup problems.