Interface problems in neutron transport by a new set of quadratures

Abstract

In this study, we consider the monoenergetic neutron transport equation in plane geometry. Using some exact properties of the neutron angular flux, we compute new quadrature sets and compare the numerical results on some physical problems involving interfaces with those of the Gauss-Legendre set. The numerical results show that the new quadrature sets perform better than the Gauss-Legendre set. We are presently investigating the convergence analysis of the interface problem.