摘要
本文用二阶理论在时域范围内研究非线性水波的绕射问题。一、二阶问题分别满足各自的自由表面条件和物面条件。用一阶Adams格式并配合时步处理来计算自由表面上的波高和速度势,而流场内的速度势通过求解有限元方程得到。采用人工阻尼区来吸收反射波。对水平半圆柱体在水面的绕射问题进行了计算,得到了自由表面波高时间历程和圆柱所受到的波浪力,计算结果和有关文献进行了比较。
A time domain second order theroy is employed to study wave diffraction around two dimensional body. The boundary conditions at the free surface and body are satified to the second order at each time step. The time marching is performed for the free surface elevation and velocity potential with the first order Adams algorithm, and at each time step the velocity potential in the fluid field is solved by the FEM with quardrilateral isoparametric element of eight nodes. Diffracted wave is absorbed with artificial damping zone instead of the Sommerfeld radiation condition. The diffraction of horizonal semi submerged circular cylinder is selected as a numerical example to verify the efficiency of the present method. The time histories of wave elevations and wave forces on the cylinder are calculated, and the results are compared with those by previous theory method, resulting a good agreements.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1999年第4期453-467,共15页
Chinese Journal of Hydrodynamics
关键词
非线性水波
二阶理论
绕射
波浪力
时域法
nonlinear wave, second order theory, diffraction, wave forces, artificial damping.
