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arXiv 2407.11206physics.flu-dyn
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由受迫表面重力波传输的深层流动

Deep flows transmitted by forced surface gravity waves

Nick Pizzo, Gregory L. Wagner

AI总结:

该研究在拉格朗日系下分析受压力扰动的二维深水表面重力波波包,明确了施力区动量的偶极留存结构,解释了深水波近岸获动量的机制,为理解波流动量传输提供了新认知。

摘要:

我们在拉格朗日参考系下研究了由压力扰动产生的二维深水表面重力波波包。该压力扰动具有窄带弱非线性深水波包的形式。在施力期间,涡量方程表明动量完全存在于近表面的拉格朗日平均流中,在该语境下这一流动通常被称为“斯托克斯漂移(Stokes drift)”。施力停止后,波包从施力区域传播出去,携带着施力所赋予的大部分能量。这些波与其诱导的长波响应在深度积分意义下不具有动量,这与Longuet-Higgins和Stewart(1962)以及McIntyre(1981)的经典结果一致。与传播波包相关的总流动没有净动量,同样符合经典结果。然而,与McIntyre(1981)讨论的有限深度情形不同,施力期间赋予流体的动量存在于一种偶极结构中,该结构会持续留在施力区域,而非被浅水波带走。最后我们研究了从深水传播到浅水的波,并证明初始不具有动量的波包,可通过反射长波和俘获长波在有限深度水中获得非零动量。这解释了深水波在接近海岸时如何获得动量。本文采用的来自风的参数化施力的人为形式,是为了便于开展文中的思想实验,而非致力于建模更符合实际的风施力场景。

英文摘要:

We examine a two-dimensional deep-water surface gravity wave packet generated by a pressure disturbance in the Lagrangian reference frame. The pressure disturbance has the form of a narrow-banded weakly nonlinear deep-water wave packet. During forcing, the vorticity equation implies that the momentum resides entirely in the near-surface Lagrangian-mean flow, which in this context is often called the ``Stokes drift''. After the forcing turns off, the wave packet propagates away from the forcing region, carrying with it most of the energy imparted by the forcing. These waves together with their induced long wave response have no momentum in a depth integrated sense, in agreement with the classical results of Longuet-Higgins and Stewart (1962) and McIntyre (1981). The total flow associated with the propagating packet has no net momentum, in agreement with the classical results. In contrast with the finite-depth scenario discussed by McIntyre (1981), however, momentum imparted to the fluid during forcing resides in a dipolar structure that persists in the forcing region -- rather than being carried away by shallow water waves. We conclude by examining waves propagating from deep to shallow water and show that wave packets, which initially have no momentum, may have non-zero momentum in finite-depth water through reflected and trapped long waves. This explains how deep water waves acquire momentum as they approach shore. The artificial form of the parameterized forcing from the wind facilitates the thought experiments considered in this paper, as opposed to striving to model more realistic wind forcing scenarios.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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