On the Convergence of the Multi-group Isotropic Neutron LTS N Nodal Solution in Cartesian Geometry

The discrete ordinate nodal approach (nodal SN approximation) is presented in the context of neutron transport. Here an analytical method, the LTSN nodal approach is presented for the transverse integrated multi-group neutron transport equation in a multidimensional Cartesian geometry domain. The resulting coupled system of one-dimensional SN equations for the average angular fluxes are solved by the Laplace Transform technique (LT SN method). We present convergence analysis of the nodal method.