Progress in spectral nodal methods applied to discrete ordinates transport problems

Abstract

We describe the recent advances in spectral nodal methods applied to discrete ordinates ( S N ) transport problems. The basic numerical schemes that we present are the spectral Green's function (SGF) nodal method and the simplified S N method. The good feature of these methods is that they generate numerical solutions to S N problems in plane geometry, that are completely free from spatial truncation errors. Numerical results, concluding remarks and suggestions for future work are given for all the applications that we describe.