抄録
In this paper, it is mathematically clarified by discussing the behavior of a nonlinear mapping that the extrapolation method described in the previous first report can be applied to numerical procedures for solving nonlinear equations. Guidelines for coping with nonlinear effects in extrapolating solutions of nonlinear equations are also presented. The coupled method is adopted as a numerical algorithm for incompressible flow because it is simple and its procedures can be efficiently parallelized. Parallel codes consisting of the coupled method and the extrapolation method are executed on a Fujitsu AP 1000 to solve 2-D steady flows. It is shown that the parallel efficiency of the coupled method is very high and that the extrapolation method keeps net speed-up high even when granularity becomes fine. It is concluded that these two methods constitute a promising N-S solver suitable for massively parallel computing of very fine granularity.
