Recovery of steady periodic wave profiles from pressure measurements at the bed
Recovery of steady periodic wave profiles from pressure measurements at the bed
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DOI：
10.1017/jfm.2012.490
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发表时间：
2013-01-10
影响因子：
3.7
通讯作者：
Constantin, A.
中科院分区：
文献类型：
--
作者：
Clamond, D.;Constantin, A.
我们推导出一个方程的压力在平床和无旋稳定水波的轮廓，有效的所有经典的解决方案的水波控制方程。这允许从床的压力测量中恢复表面波。虽然我们集中在周期波，孤立波的扩展是直接的。我们说明了有用的方程超出了线性理论的领域，通过调查制度的浅水波的小振幅，并提出了一个数值例子。
We derive an equation relating the pressure at the flat bed and the profile of an irrotational steady water wave, valid for all classical solutions of the governing equations for water waves. This permits the recovery of the surface wave from pressure measurements at the bed. Although we focus on periodic waves, the extension to solitary waves is straightforward. We illustrate the usefulness of the equation beyond the realm of linear theory by investigating the regime of shallow-water waves of small amplitude and by presenting a numerical example.