Abstract An analytical solution of a new composite breakwater consisting of a moored submerged flexible porous membrane and a submerged ruble mound below the membrane is presented. The semi-analytical solution is obtained based on the velocity potential decompositions where the consideration of a dispersion relation with complex wave numbers is not required. The convergence of the series solution is demonstrated by computing the values of the reflection, the transmission, the dissipation coefficients and the vertical force. In addition, the present results are compared against published numerical results and experimental data. In order to analyze the efficiency of the newly developed composite breakwater, the present results are compared with those of a single horizontal submerged moored porous membrane and a single rubble mound breakwater. Furthermore, the effects of design parameters on the performance of the composite breakwater are also analyzed in detail.

中文翻译：

---

下瓦砾堆淹没式水平柔性多孔膜复合防波堤

摘要 提出了一种新型复合防波堤的解析解，该防波堤由系泊水下柔性多孔膜和膜下方的水下卢布丘组成。半解析解是基于速度势分解获得的，其中不需要考虑与复波数的色散关系。通过计算反射、透射、耗散系数和垂直力的值来证明级数解的收敛性。此外，将目前的结果与已发表的数值结果和实验数据进行了比较。为了分析新开发的复合式防波堤的效率，将目前的结果与单个水平淹没式系泊多孔膜和单个碎石堆防波堤的结果进行了比较。