Abstract The method of boundary integral equation is widely applied to compute and analyze wave–structure interactions in marine and offshore engineering, and the application is also seen in marine aquaculture to deal with waves and porous structure interactions. The application of the Fredholm integral equation of the second kind together with the free-surface Green function for a surface-piercing body suffers from irregular frequencies which may be confused with resonance peaks. A simple and efficient method to remove irregular frequencies in the wave–structure interactions is developed via enforcing null potential (and horizontal derivatives) on discrete points on the interior water-plane area and is referred to as overdetermined integral equations (and enhanced overdetermined integral equations), respectively. Structures with solid surface, porous surface and their blending are considered, and numerical results demonstrate the effectiveness of this method. In contrast to extended integral equations, the overdetermined integral equations are easy to implement and more time-efficient.

中文翻译：

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波和固体/多孔结构相互作用中没有不规则频率的有效方法

摘要 边界积分方程方法广泛应用于海洋和海洋工程中波浪-结构相互作用的计算和分析，在海水养殖中也有处理波浪和多孔结构相互作用的应用。将第二类 Fredholm 积分方程与自由表面格林函数一起应用于表面穿刺体时会遇到不规则频率，可能会与共振峰混淆。通过在内部水线面区域上的离散点上强制执行零势（和水平导数），开发了一种简单有效的方法来消除波结构相互作用中的不规则频率，称为超定积分方程（和增强超定积分方程） ）， 分别。具有固体表面的结构，考虑了多孔表面及其混合，数值结果证明了该方法的有效性。与扩展积分方程相比，超定积分方程易于实现且更省时。