Scattering of surface waves by a vertical truncated structured cylinder.
Scattering of surface waves by a vertical truncated structured cylinder.
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DOI：
10.1098/rspa.2021.0824
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发表时间：
2022-03
期刊：
影响因子：
--
通讯作者：
Liang H
中科院分区：
文献类型：
--
作者：
Porter R;Zheng S;Liang H
本文描述了平面入射波在恒定水深的水中的散射问题的解。底部安装的圆柱体部分沿深度延伸，其内部结构由密集排列的薄垂直屏障组成，允许流体在其之间流动。在完全依赖深度的线性化水波理论下，采用描述柱体内流体运动的有效介质方程和与柱体外流体区域相匹配的有效边界条件来求解该问题。对这一问题的兴趣在于发展全三维水波与测深平板阵列相互作用的新方法。用该理论计算的结果与基于Marangos&Porter(2021年)结构水深浅水理论的浅水近似进行了比较。程序R.Soc.A477,20210421。)并使用一组离散的板精确计算几何图形的精确表示。其他结果突出了这种类型的圆柱板阵列器件的共振定向透镜效应。
This paper describes the solution to the problem of scattering of plane incident waves on water of constant depth by a bottom mounted circular cylinder, extending partially through the depth, which has an internal structure comprised of closely spaced thin vertical barriers between which fluid is allowed to flow. The problem is solved under full depth-dependent linearized water wave theory using an effective medium equation to describe the fluid motion in cylinder and effective boundary conditions to match that flow to the fluid region outside the cylinder. The interest in this problem lies in the development of novel solution methods for fully three-dimensional water wave interaction with bathymetric plate arrays. Results computed using this theory are compared with a shallow water approximation based on the recent work of Marangos & Porter (2021 Shallow water theory for structured bathymetry. Proc. R. Soc. A 477, 20210421.) and with accurate computations of an exact representation of the geometry using a discrete set of plates. Other results highlight the resonant directional lensing effects of this type of cylindrical plate array device.
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