Wave Motion ( IF 2.4 ) Pub Date : 2021-05-25 , DOI: 10.1016/j.wavemoti.2021.102765 I.H. Cho
The interaction of oblique incident waves with a floating porous plate has been investigated using the matched eigenfunction expansion method (MEEM). The porous boundary condition based on Darcy’s law is applied at a floating porous plate (Zhao et al. (2009)). Depending on the presence of a vertical rear wall, the wave energy dissipation by a floating porous plate is evaluated with two analytical models: wave barrier and wave absorber. The nonlinear dispersion equation, derived from the porous boundary condition, is solved numerically by using Muller’s method to obtain the complex-number eigenvalues in the porous-plate covering region. Notably, it is confirmed that the real part of the first-mode eigenvalue is closely related to the energy dissipation due to the generation of vortices when waves propagate past a floating porous plate, and the porosity parameter (plate porosity ) is found to be the optimal value for the maximum energy dissipation. The analytical solutions are validated by means of the model test with a floating porous wave barrier.
中文翻译:
斜入射波中水平浮动多孔板的波能量耗散
使用匹配特征函数展开法 (MEEM) 研究了倾斜入射波与浮动多孔板的相互作用。基于达西定律的多孔边界条件应用于浮动多孔板(Zhao et al. (2009))。根据垂直后壁的存在,浮动多孔板的波浪能量耗散使用两种分析模型进行评估:波浪屏障和波浪吸收器。利用Muller方法对由多孔边界条件导出的非线性色散方程进行数值求解,得到多孔板覆盖区域的复数特征值。值得注意的是,当波传播经过浮动多孔板时,由于涡流的产生,第一模态特征值的实部与能量耗散密切相关, (板孔隙率 ) 被发现是最大能量耗散的最佳值。解析解通过带有浮动多孔波浪屏障的模型测试进行验证。