Line Relaxation Smoother for the Multigrid Solution of the Boussinesq Equations

摘要

A multigrid algorithm using a smoother with line relaxation is developed to overcome convergence problems resulting from large cell aspect ratios. The Boussinesq equations are solved by this algorithm for a problem of free convection in a rectangular domain. Results concerning convergence histories and computational cost are presented. The algorithm control structure of the smoother is given, allowing the implementation of different types of smoothings. (Copyright (c) 1989 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)