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NONLINEAR DIFFRACTION BY A VERTICAL CYLINDER

机译:垂直圆柱的非线性衍射

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摘要

A theoretical solution is developed for the interaction of second-order Stokes waves with a large vertical circular cylinder in water of finite depth. The solution is obtained in terms of the velocity potential such that any kinematic or dynamic quantity of interest may be derived, consistent to the second perturbation order. In this study, the second-order wave field around the cylinder is determined, showing the modification of the incident Stokes waves by wave-wave and wave-structure interactions, both in the reflection-dominated up-wave region and in the diffraction-dominated down-wave region. The theory is then compared to experimental data for wave runup and rundown amplitudes on the cylinder as well as for wave crest and trough envelopes in the up-wave and down-wave regions.
机译:针对二阶斯托克斯波与有限深度水中大垂直圆柱的相互作用,提出了一种理论解决方案。根据速度势获得解,从而可以得出与第二扰动阶数一致的任何运动学或动态感兴趣的量。在这项研究中,确定了圆柱周围的二阶波场,显示了在反射为主的向上波区域和在衍射为主的波中波和波结构相互作用对入射斯托克斯波的修正。下波区。然后将该理论与实验数据进行比较,以获取圆柱体上的波上升和下降幅度,以及上,下波区域的波峰和波谷包络线。

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