Pressure Beneath a Solitary Water Wave: Mathematical Theory and Experiments
Pressure Beneath a Solitary Water Wave: Mathematical Theory and Experiments
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DOI：
10.1007/s00205-011-0396-0
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发表时间：
2011-02
影响因子：
2.5
通讯作者：
A. Constantin;J. Escher;H. Hsu
中科院分区：
文献类型：
--
作者：
A. Constantin;J. Escher;H. Hsu
研究了平板自由水面无旋流中传播的孤立水波下的压力。调查分为两个部分。第一部分是关于水波控制方程的严格非线性研究。我们证明了孤立波下的流体中的压力严格随深度增加，并严格降低水平远离波峰下的垂直线。论文的第二部分描述了一项实验研究。发现理论预测和测量之间存在很好的一致性。我们的结论也得到了数值模拟的支持。
We study the pressure beneath a solitary water wave propagating in an irrotational flow at the free surface of water with a flat bed. The investigation is divided into two parts. The first part concerns a rigorous nonlinear study of the governing equations for water waves. We prove that the pressure in the fluid beneath a solitary wave strictly increases with depth and strictly decreases horizontally away from the vertical line beneath the crest. The second part of the paper describes an experimental study. Excellent agreement is found to exist between the theoretical predictions and the measurements. Our conclusions are also supported by numerical simulations.