倾斜激励晃动中自由面波高和漩涡的数值模拟

摘要

A Crank-Nicolson finite difference method based on the Navier-Stokes equations has been developed in this study. The two-dimensional rectangular tank under forced pitching oscillation has been numerically simulated. The numerical results are compared with the linearized analytical solution and other reported numerical calculation to verify the validity of the present numerical method. Furthermore, the free surface elevations, the variations and periods of the vortexes with different Reynolds numbers have also been studied numerically.%本文建立了基于Navier-Stokes方程的Crank-Nicolson有限差分方法，对二维矩形水槽进行了倾斜激励晃动数值模拟。为了验证数值方法的有效性，本文的数值结果与线性解析解以及其它文献中的数值解进行了比较。此外，文中也数值研究了不同Reynolds数下自由面的波高、漩涡的变化形式和周期。