Variation of Wave Force on Submerged Object at Shallow Water: Fourier Series Technique
Variation of Wave Force on Submerged Object at Shallow Water: Fourier Series Technique
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浅水中水下物体波浪力的变化：傅里叶级数技术
DOI：
10.1016/j.aqpro.2015.02.014
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
R. Ranjan
中科院分区：
文献类型：
--
作者：
P. Roy;R. Ranjan
本文用傅里叶级数逼近法给出了二维垂直浸没矩形薄板在两种不同构型下的浅水波浪力的解：(1)穿面矩形薄板，(2)底部直立矩形薄板。利用不同波幅、不同时间段的传播波对水下物体施加法向波浪力。波浪力的确定采用基于线性波浪理论的伯努利方程。板块被淹没在海岸附近的水中，处于不同深度的水中。这种求解方法被限制在一个有限区域内，该区域既包括不同水深的区域，也包括板。利用分离变量法和小振幅线性波动理论，在有限区域内求解拉普拉斯方程和边值问题。得到了不同水深、不同波浪周期下水平力随波幅的变化规律。波浪力是在水下物体的四个不同深度上测量的。结果表明，力随波周期的增大而收敛，且波周期越小，力相对于波幅的梯度越大。波浪力在水面上最大，向水底逐渐减小。本研究的目的是创新设计一种低成本的波能转换器(WEC)，将从海洋表面波获得的动能转换为势能。
This paper is presented a solution of shallow water wave force, using Fourier series approximation method on two dimensional vertically submerged rectangular thin plates under two different configurations: (1) a surface-piercing rectangular thin plate, and (2) a bottom-standing rectangular thin plate. A propagating wave of different amplitude and at different time period is made to impose normal wave force on submerged object. Bernoulli's equation is used for the determination of wave force which is based on the linear wave theory. The plate is submerged in water near the shore under different depth of water. The solution method is confined in a finite domain, which contains both the region of different depth of water and the plate. Laplace's equation and boundary value problems are solved in a finite domain, by the method of separation of variables and the small amplitude linear wave theory. The variation of horizontal force with respect to the wave amplitude is obtained at different depth of water and at different wave period. The wave force is measured at four different depths on the submerged object. It is observed that the forces are converging with the increase of wave period and the gradients of forces with respect to the wave amplitude are extremely high for lower wave period. Wave forces are maximums on the surface of water and it decreases gradually towards the bottom of water. The purpose of this study is based on to made an innovative design of a low cost wave energy converter (WEC) where the kinetic energy obtainable from the ocean surface wave is converted in the form of potential energy.