Year: 1994
Type: article
Abstract: Recently a nonlinear spatial differencing scheme for solving the discrete-ordinate equations was introduced. This scheme, referred to as the Nonlinear Characteristic (NC) scheme, is accurate for both optically thin and optically thick spatial meshes and is strictly positive. The NC discrete-ordinate equations can be solved using the source iteration (SI) method. It is well known that the SI method converges infinitely slowly for optically thick problems with scattering ratios near unity. In this summary, we describe a S{sub 2}-like acceleration scheme for accelerating the convergence of the SI method as applied to the NC scheme and provide results to show how effective it is.
Authors: Todd A. Wareing, W.F. Walters, Jim E. Morel
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Awards: G1702950523, G2713861829, G797745481
OpenAlex ID: W134943459