Effect of flexible coastal vegetation on waves in water of intermediate depth
Effect of flexible coastal vegetation on waves in water of intermediate depth
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DOI：
10.1016/j.coastaleng.2021.103937
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发表时间：
2021-09
影响因子：
4.4
通讯作者：
Jie Hu;C. Mei;Che‐Wei Chang;P. Liu
中科院分区：
文献类型：
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作者：
Jie Hu;C. Mei;Che‐Wei Chang;P. Liu
本文提出了一个新的理论框架，基于均匀化理论，研究小振幅周期水波通过挺水柔性植被在中间深度的水。植被是由一系列灵活的具有统一属性的圆柱体模拟的。假设圆柱体以入射水波的频率在流向方向上以小振幅振荡，并且每个圆柱体的运动与其相邻圆柱体没有直接的相互作用。利用均匀化理论，将波浪-柔性植被问题分解为微观和宏观两个尺度的问题。流体流动由入射波和刚性圆柱阵列之间的相互作用以及圆柱的振动的贡献组成，这些贡献在小振幅波理论的框架内叠加和耦合。微尺度问题是用有限元法数值求解的，而宏观尺度问题是用二阶有限差分法求解的。结果表明，当杨氏模量E> 1GPa时，本模型能成功地再现刚性静止森林的结果。该模型也显示出良好的协议与实验室数据的柔性缸。此外，本文还给出了柔性圆柱附近流体的详细流动情况，并综合分析了圆柱材料特性对波衰减的影响。
This paper presents a new theoretical framework, based on thehomogenizationtheory, for studying small-amplitude periodic water waves through emergent flexible vegetation in water of intermediate depth. The vegetation is modeled by an array of flexible cantilever-type cylinders with uniform properties. It is assumed that the cylinders oscillate with small amplitude in the stream-wise direction at the frequency of incoming water wave, and that each cylinder moves without the direct interaction with its neighbors. Using thehomogenizationtheory, the wave-flexible-vegetation problem is separated into micro- and macro-scale problems, respectively. The fluid flows consist of contributions from the interactions between incident waves and an array of rigid cylinders and the vibrations of cylinders, which are superimposed and coupled within the framework of small-amplitude wave theory. The micro-scale problem is solved numerically by a finite-element method, while the macro-scale problem is solved using a second-order finite difference method. It is found that the present model can successfully reproduce the results of rigid stationary forest, when the Young's modulusE> 1 GPa. The model also shows good agreements with laboratory data for flexible cylinders. Moreover, the detailed fluid flows in the vicinity of a flexible cylinder, and a synthetic analysis of the effects of cylinder material properties on wave attenuation are also presented.