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Transmission of oblique incident waves by a submerged horizontal porous plate

机译:浸没的水平多孔板传输斜入射波

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The interaction of oblique monochromatic incident waves with a submerged horizontal porous plate has been investigated in the context of two-dimensional linear potential theory. The matched eigenfunction expansion method is applied to obtain the analytic solution. The present formulations, suggested by Molin and Nielsen (2004) and Liu and Li (2011), are compared with the independent solutions using complex dispersion relations and they are proved to be identical. The former approach, however, may be more straightforwardly extended to the case of multi-layer horizontal porous plates. Also, the present predictions are compared with a series of experiments conducted in a two-dimensional wave tank at Jeju National University. By using the empirical relationship between plate porosity and porous parameter obtained by authors (Cho and Kim, 2008), the measured reflection and transmission coefficients reasonably follow the trend of predicted values. The performance of the proposed submerged horizontal porous breakwaters can be significantly enhanced by selecting optimal design parameters, such as porosity, submergence depth, and plate width. The optimal cases are obtained through a systematic parametric study, which illustrates the usefulness of the presently developed analytic solutions.
机译:在二维线性势能理论的背景下,研究了斜向单色入射波与水下水平多孔板的相互作用。应用匹配的本征函数展开法获得解析解。由Molin和Nielsen(2004)以及Liu和Li(2011)提出的当前公式与使用复杂色散关系的独立解进行了比较,并被证明是相同的。但是,前一种方法可以更直接地扩展到多层水平多孔板的情况。另外,将本预测与在济州国立大学二维波箱中进行的一系列实验进行了比较。通过利用作者获得的板孔隙度与孔隙参数之间的经验关系(Cho和Kim,2008),测得的反射系数和透射系数可以合理地遵循预测值的趋势。通过选择最佳设计参数(例如孔隙率,浸没深度和板宽),可以显着提高建议的浸没水平多孔防波堤的性能。最佳案例是通过系统的参数研究获得的,该研究说明了当前开发的解析解决方案的有用性。

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