A Fast Implicit Numerical Scheme for Free-Surface Calculation

摘要

A fast implicit numerical scheme, based on the the MacCormack's two step (predictor - corrector) technique requiring the inversion of only block bidiagonal matrices, has been developed and subsequently applied for two dimensional free - surface flow problems. Two are the main advantages of the method. The first one: the method is fast in achieving the convergence and the second one: the method utilizes a body fitted non - orthogonal local coordinate system. Comparisons with available measurements and/or other numerical solution show that the proposed method is comparatively accurate, fast and reliable technique.