Wave forces on a circular dock
Wave forces on a circular dock
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DOI：
10.1017/s0022112071000430
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发表时间：
1971-03
影响因子：
3.7
通讯作者：
C. Garrett
中科院分区：
文献类型：
--
作者：
C. Garrett
为了确定船坞上的水平和垂直力和扭矩，考虑了圆形船坞对表面重力波的散射。入射平面波用贝塞尔函数展开，对于每种模式，问题的表述形式是包含码头并延伸到底部的柱面上的位势。结果表明，该解具有与深度无关的相位，因此可以从用Galerkin方法数值求解的无穷多个实方程组中得到。讨论了解的收敛问题，并给出了一些数值结果。Miles&Gilbert(1968)以前曾用不同的方法研究过这个问题，但他们的工作包含错误。
The scattering of surface gravity waves by a circular dock is considered in order to determine the horizontal and vertical forces and torque on the dock. An incident plane wave is expanded in Bessel functions, and for each mode the problem is formulated in terms of the potential on the cylindrical surface containing the dock and extending to the bottom. The solution is shown to have phase independent of depth and so may be obtained from an infinite set of real equations, which are solved numerically by Galerkin's method. The convergence of the solution is discussed, and some numerical results are presented. This problem has been investigated previously by Miles & Gilbert (1968) by a different method, but their work contained errors.