Wave structure interaction problem having thick vertical barrier over an arbitrary seabed is analysed for its solution. The associated boundary value problem is handled using a coupled eigenfunction expansion–boundary element method. This method converts the boundary value problem into integral equation over the physical boundaries. The physical boundaries are discretised into a finite number of elements and hence the integral equation give rise to a system of linear algebraic equations. Finally, the system of equations is solved to obtain the physical quantities, namely, the reflection and transmission coefficients. For ensuring the correctness of these physical quantities, the energy balance relation is derived and verified. The present results are also verified by comparing the results available in the literature. The present study reveals that the width and height of the structure along with the undulated seabed play an important role to construct an effective wave barrier to protect various marine facilities from wave attack and also helpful to create the tranquility zone on the lee side of the structure.

中文翻译：

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任意海床上厚垂直障碍波散射的耦合特征函数展开-边界元方法

分析了任意海床上具有厚垂直屏障的波浪结构相互作用问题的求解。相关的边值问题使用耦合特征函数展开-边界元方法处理。该方法将边界值问题转化为物理边界上的积分方程。物理边界被离散为有限数量的元素，因此积分方程产生线性代数方程组。最后，求解方程组以获得物理量，即反射系数和透射系数。为保证这些物理量的正确性，导出并验证了能量平衡关系。目前的结果也通过比较文献中可用的结果来验证。