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首页> 外文期刊>Archive of Applied Mechanics >Water wave scattering by two surface-piercing and one submerged thin vertical barriers
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Water wave scattering by two surface-piercing and one submerged thin vertical barriers

机译：水波通过两个表面穿孔和一个浸没的薄垂直屏障的散射

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The problem of water wave scattering by three thin vertical barriers present in infinitely deep water is investigated assuming linear theory. Out of the three, two outer barriers are partially immersed and the inner one is fully submerged and extends infinitely downwards. Havelock's expansion of water wave potential along with inversion formulae is employed to reduce the problem into a set of linear first-kind integral equations which are solved approximately by using single-term Galerkin approximation technique. Very accurate numerical estimates for the reflection and transmission coefficients are then obtained. The numerical results obtained for various arrangements of the three vertical barriers are depicted graphically in several figures against the wavenumber. These figures exhibit that the reflection coefficient vanishes at discrete wavenumbers only when the two outer barriers are identical. Few known results of a single submerged wall with a gap, single fully submerged barrier extending infinitely downwards, and two barriers partially immersed up to the same depth in deep water are recovered as special cases. This establishes the correctness of the method employed here.
机译：假设线性理论，研究无限深水中存在的三个薄垂直障碍物引起的水波散射问题。在这三个之中，两个外部屏障被部分浸没，内部屏障被完全浸没并无限向下延伸。利用Havelock对水波势的扩展以及反演公式，可以将问题简化为一组线性第一类积分方程，可以通过使用单项Galerkin近似技术来近似求解。然后获得反射和透射系数的非常精确的数值估计。针对波数，以图形方式描绘了针对三个垂直屏障的各种布置而获得的数值结果。这些图表明，仅当两个外部势垒相同时，反射系数才在离散波数下消失。在特殊情况下，很少能发现具有间隙的单个浸没壁，无限向下延伸的单个完全浸没屏障以及部分浸入相同深度的深水中的两个屏障的已知结果。这确定了此处采用的方法的正确性。

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