Abstract
The successive over-relaxation (SOR) method is often adopted for incompressible viscous flow analyses. Since the efficiency of the SOR method is much affected by the relaxation parameter ω, it has been thought that we should use the optimum relaxation parameter, ωopt, to minimize CPU time. A numerical experiment was conducted in the present study to examine whether ωopt is the best strategy for transient flow analyses. This examination clarified that ωopt is not always the best strategy. This is because the efficiency of the SOR method is determined not only by the relaxation parameter but also by the relation between an initial error and a convergence criterion. Then, an ω-controller was proposed. This controller determines the value of ω by making use of ωopt, the initial error and the convergence criteria. It was confirmed by numerical experiments that the proposed controller is effective for reducing the CPU time of transient flow analyses.
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