Abstract
A computational method has been proposed for viscous incompressible flows with QSI (quintic spline interpolation) scheme. This method is based on general curvilinear coordinates and collocated grid arrangement, which allows us to deal with moving boundary problems. In order to confirm the validity of this computational method, it was was applied to the rectangular and polar cavity flows. In addition, it was also applied to small amplitude standing waves and free-surface flows within a cavity. As a result, it has been shown that the predicted results are in good agreement with the theory and other computational results and that the QSI scheme is effective to predict various fluid flows with sufficient accuracy.
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