三维分布源法中面元流体力的积分

Integrals of Hydrodynamic Pressures over a Panel with3-D Source Distribution Method

三维分布源法广泛应用于各种海洋结构物的波浪载荷计算。其中格林函数及其空间导数沿面元的积分和面元上流体力的计算是十分重要的。本文首先阐述了基于四边形面元几何特性的二重高斯型求积公式。接着讨论了如何应用这一公式计算三维分布源法中面元中心诱导速度和面元流体力积分 ,给出了相应的算例。最后还导出了适合计算任意形状四边形面元上波浪主干扰力的解析表达式 。

The 3-D source distribution method is widely used in assessing the wave loads of all kinds of marine structures where the integrals of Green function and its spatial derivatives over a panel and the computations of the hydrodynamic forces are of great importance. In this paper, the double Gaussian quadrature formula based on quadrilateral panel's geometrical peculiarity was illuminated and then its application for calculating the induced velocity in panel center and the hydrodynamic forces was discussed. Finally, an analytical expression for calculating the Froude-Kriloff force on arbitrary shaped quadrilateral panel was derived. The numerical results show that the method presented is reliable and of practical use.