The problem is the scattering of a plane sound wave at a rough water-air interface. The purpose of this paper is to describe in detail the method and demonstrate its work with simple examples. The main advantage of this approach is that there are no limits on the relation between the shape of the surface and the incident wave, so we can consider large Rayleigh parameter, shading, multiple scattering. The solution of the Helmholtz equation in the form of an integral over the boundary is used only in the inner domain, in the outer domain the separation of variables is used to obtain a nonlocal integral boundary condition on the artificial boundary.

中文翻译：

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部分摄动水面声散射的多域边界元法

问题是平面声波在粗糙的水-空气界面处的散射。本文的目的是详细描述该方法并通过简单的示例演示其工作。这种方法的主要优点是表面形状与入射波之间的关系没有限制，因此我们可以考虑大瑞利参数、阴影、多次散射。边界上积分形式的亥姆霍兹方程的解仅在内域中使用，在外域中，变量的分离用于获得人工边界上的非局部积分边界条件。