FINITE DIFFERENCE METHOD FOR 2-D AND 3-D NONLINEAR FREE SURFACE WAVE PROBLEMS
FINITE DIFFERENCE METHOD FOR 2-D AND 3-D NONLINEAR FREE SURFACE WAVE PROBLEMS作者机构：Dalian Institute of Technology Dalian China
出 版 物：《Acta Mechanica Sinica》 (力学学报(英文版))
年 卷 期：1985年第1卷第2期
页 面：117-130页
基 金：This work is supported by the science foundation of Academia Sinica
主 题：transient flow nonlinear boundary conditions free surface wave fast Fourier transform (FFT) coordinate mapping iteration process.
摘 要：A finite difference method is developed for the numerical modelling of the 2-D and 3-Dunsteady potential flow generated by transient disturbances on the free surface, on which the non-linear boundary conditions are fully satisfied. The unknown function is computed with an iterationscheme processing in a transformed time-invariant space. After the velocity is calculated, the locationof the free surface is renewed and so is the value of velocity on it. The boundary-value problem of thegoverning equation is then solved at the next time step. The present method incorporates the ***, a tri-diagonal equation system is obtained which could be readily solved. The feasibilityof this method has been demonstrated by 2-D and 3-D examples corresponding to different initialdisturbances.
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