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Bragg scattering of surface gravity waves by an array of submerged breakwaters and a floating dock
Wave Motion ( IF 2.1 ) Pub Date : 2021-07-29 , DOI: 10.1016/j.wavemoti.2021.102807
K.G. Vijay 1 , V. Venkateswarlu 2 , T. Sahoo 3
Affiliation  

The scattering of gravity waves by a rigid floating dock in the presence of an array of porous and non-porous breakwaters of different configurations is analysed under the framework of linear potential flow theory. The waves passing the submerged porous structures are assumed to follow Darcy’s law. Two independent physical problems such as the array of porous and non-porous breakwaters, placed (i) underneath the floating dock and (ii) at a finite distance from the floating dock, are examined. The occurrences of Bragg resonant reflection and corresponding bandwidth by each of the structural configurations are accounted for additional advancement of coastal rehabilitation. With the introduction of structural porosity to submerged breakwaters, the fluid force diminishes monotonically due to the wave energy dissipation by the porous structure. The floating dock exhibits a significant impact in reflecting the incident waves of shorter wavelength. The free spacing available between the breakwaters and the floating dock increases the Bragg resonance. The magnitude of the hydrodynamic force experienced by the floating dock is truly maximal on account of triangular periodic breakwaters due to extremely insignificant wave damping as a result of zero-crest width near the submerged end of the breakwaters. The semi-trapezoidal and trapezoidal structures show practically identical benefits of dissipating coefficients due to the slanting interfaces. The scattering coefficients reveal that the array of rectangular breakwaters located at a finite distance from the floating dock are advantageous than that of breakwaters located underneath the dock for dissipating the incident wave energy.



中文翻译:

一系列水下防波堤和浮船坞对表面重力波的布拉格散射

在线性势流理论的框架下,分析了在不同配置的多孔和非多孔防波堤阵列存在的情况下刚性浮船坞对重力波的散射。假设通过水下多孔结构的波遵循达西定律。检查了两个独立的物理问题,例如多孔和非多孔防波堤阵列,它们放置在 (i) 浮船坞下方和 (ii) 与浮船坞有限距离处。每个结构配置的布拉格共振反射和相应带宽的发生被解释为沿海修复的额外进步。随着水下防波堤的结构孔隙率的引入,由于多孔结构的波浪能量耗散,流体力单调减小。浮船坞在反射较短波长的入射波方面表现出显着影响。防波堤和浮船坞之间的可用空间增加了布拉格共振。由于三角形周期性防波堤,由于防波堤淹没端附近的波峰宽度为零,波浪阻尼极其微不足道,因此浮船坞所承受的水动力的大小确实是最大的。由于倾斜界面,半梯形和梯形结构显示出几乎相同的耗散系数优势。散射系数表明,位于离浮船坞有限距离的矩形防波堤阵列比位于船坞下方的防波堤有利于消散入射波能量。

更新日期:2021-08-09
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