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Scattering of Gravity Waves by Multiple Submerged Rubble-Mound Breakwaters
Arabian Journal for Science and Engineering ( IF 2.6 ) Pub Date : 2020-07-18 , DOI: 10.1007/s13369-020-04767-1
K. G. Vijay , V. Venkateswarlu , D. Karmakar

A numerical model based on multi-domain is developed to investigate the scattering of surface gravity waves by an array of submerged rubble-mound breakwaters. The boundary value problem is analysed in two dimensions under the assumption of small-amplitude wave theory in the water of finite depth. Analytical solution based on the eigenfunction expansion method is independently developed to validate the numerical model in addition to available results in the literature. Various configurations such as trapezoidal, triangular, and circular shapes are investigated parametrically. The performance characteristics are discussed by analysing the scattering coefficients (such as reflection, transmission, and damping coefficient) for different physical parameters like relative water depth, relative structural dimensions, relative spacing, and the number of submerged breakwaters. In the case of trapezoidal breakwaters, the crest width plays a major role in dampening the wave energy by a whopping 90%. Moreover, the wave damping performance of triangular breakwaters is very poor. The Bragg resonant reflection is observed to be a trivariate function, which depends on structural porosity, structural thickness, and the number of submerged breakwaters. The free spacing is evident in adjusting the position of Bragg resonant reflection by multiple equi-spaced structures of several shapes. The present study will be useful in the effective design of Bragg breakwaters for establishing a calm wave environment near the harbour regions.



中文翻译:

多个淹没的碎石丘防波堤对重力波的散射

建立了基于多域的数值模型,研究了一系列淹没的碎石堤防波堤对表面重力波的散射。在小振幅波理论下,在有限深度的水中,以二维方式分析了边值问题。除了文献中的可用结果外,还独立开发了基于特征函数展开法的解析解以验证数值模型。参数化地研究了各种配置,例如梯形,三角形和圆形。通过分析不同物理参数(例如,相对水深,相对结构尺寸,相对间距)的散射系数(例如反射,透射和阻尼系数)来讨论性能特征。以及淹没的防波堤的数量。在梯形防波堤的情况下,波峰宽度在将波浪能衰减高达90%方面起着主要作用。此外,三角形防波堤的波浪阻尼性能非常差。布拉格共振反射是一个三元函数,取决于结构的孔隙率,结构的厚度和水下防波堤的数量。在通过多种形状的多个等距结构调整布拉格共振反射的位置时,自由间距很明显。本研究将有助于布拉格防波堤的有效设计,以在港口区域附近建立平静的波浪环境。三角形防波堤的波浪阻尼性能非常差。布拉格共振反射是一个三元函数,取决于结构的孔隙度,结构的厚度和水下防波堤的数量。在通过多种形状的多个等距结构调整布拉格共振反射的位置时,自由间距很明显。本研究将有助于布拉格防波堤的有效设计,以在港口区域附近建立平静的波浪环境。三角形防波堤的波浪阻尼性能非常差。布拉格共振反射是一个三元函数,取决于结构的孔隙度,结构的厚度和水下防波堤的数量。在通过多种形状的多个等距结构调整布拉格共振反射的位置时,自由间距很明显。本研究将有助于布拉格防波堤的有效设计,以在港口区域附近建立平静的波浪环境。在通过多种形状的多个等距结构调整布拉格共振反射的位置时,自由间距很明显。本研究将有助于布拉格防波堤的有效设计,以在港口区域附近建立平静的波浪环境。在通过多种形状的多个等距结构调整布拉格共振反射的位置时,自由间距很明显。本研究将有助于布拉格防波堤的有效设计,以在港口区域附近建立平静的波浪环境。

更新日期:2020-07-18
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