基于高阶边界元法和波浪交互理论的三维相邻多浮体问题研究

Research on 3-D problem of adjacent multiple floating bodies based on HOBEM and wave interaction theory

在解决三维相邻多浮体的水动力问题时,正确处理各浮体之间的相互作用是分析计算的关键所在。文章分别运用高阶边界元法和波浪交互理论对一个由箱型浮体组成的三维多浮体问题进行求解,通过对比分析浮体所受波浪力和水下表面压力分布结果,验证两种方法计算结果的精确度,研究该模型的水动力特点;并通过改变各浮体之间的距离,寻求波浪交互理论在求解三维多浮体问题中的适用性,对该方法在浮体间距不满足限制条件时的计算结果进行解释。

It is a key point to deal with the interaction between bodies when solving a hydrodynamic prob-lem of 3-D multiple floating bodies located in close proximity.In this paper,both higher-order boundary element method and the wave interaction theory are used to solve a 3-D problem of four identical box-shaped floating bodies.By comparing the results of these two methods,i.e.the total wave exciting force and the pressure distribution on body surface,the accuracy of the solutions by these methods is discussed,and the hydrodynamic characteristics of this model are analyzed.Applicability of the wave interaction theory in the 3-D problem of multiple floating bodies is studied by changing the separation distance between bodies,and the results are explained in the case when separation distance is too small to satisfy the mathematical limitation in the wave interaction theory.