Simulation of Radiation Transport in a Channel Based on the Quasi-Diffusion Method

Abstract

Construction of an analogue of a monotonic difference scheme is considered for non-self-conjugated quasi-diffusion (QD) equations in the r-z geometry. For this purpose, the coordinates are rotated in the plane (r, z) such that the diagonal form of the QD tensor in the center of a cell results and the non-diagonal elements on the cell edges are accordingly minimized. This scheme is similar to the scheme offered for the self-conjugated problem (Aristova and Kolpakov, 1991). The hybrid difference scheme is used in calculations that are non-monotonic in domains in which the solution is smooth and it is an analogue of a monotonic calculation on contact boundaries. A non-stationary problem of external isotropic radiation propagation into a cylindrical pipe is considered based on the suggested scheme. A light wave incident normally to the contact boundary makes the problem of external radiation propagation into a pipe a good test for checking the quality of the scheme.