Scattering of gravity waves by a porous rectangular barrier on a seabed

作     者：孟庆瑞 卢东强 Qing-rui MENG;Dong-qiang LU

作者机构：Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai University 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2016年第28卷第3期

页      面：519-522页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Basic Research Deve-lopment Program of China(973 Program,Grant No.2014CB046203) the National Natural Science Foundation of China(Grant No.11472166) the Natural Science Founda-tion of Shanghai(Grant No.14ZR1416200) 

主　　题：gravity waves dispersion relation permeability orthogonality 

摘      要：Within the frame of linear potential flow theory, the impact of a porous rectangular barrier on a seabed on the dynamic characteristics of gravity waves is investigated. The porous barrier can be regarded as an abstract representative such as a seabed plant, a wave breaker, inhomogeneous topography, and trussed supporting of ocean engineering platform, etc. In the process of mathematical modeling, the method of matched eigenfunction expansions is employed for analysis, where a newly defined form of inner product is introduced to improve the simplicity of derivation. Under this definition, the inner product is automatically orthogonal, which will provide great simplification to obtain the expansion coefficients. Once the wave numbers for the fluid region and the barrier region are obtained, the reflection and transmission coefficients of the wave motion can readily be calculated.