Long-time dynamics of internal wave streaming

Long-time dynamics of internal wave streaming
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内波流的长时间动态

DOI:
10.1017/jfm.2020.806
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发表时间:
2021
影响因子:
3.7
通讯作者:
and T.R. Akylas
and T.R. Akylas
中科院分区:
工程技术2区
文献类型:
--
作者:
T.Jamin;T.Kataoka;T.Dauxois;and T.R. Akylas

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本文对三维传播重力内波束在均匀分层流体中诱导的平均流动进行了实验和理论研究。以前的相关工作集中在平均流生成的早期阶段,占主导地位的现象流-一个水平的平均流量,线性增长的时间-由于共振生产的平均位涡附近的梁。相反,这里的重点是长期平均流量的演变。分层流体罐中长达束周期的实验观察表明,诱导平均流经历了三个不同的阶段:(i)束附近流动的共振增长;(ii)流动饱和和水平平流的开始;(iii)建立准稳态,其中平均流高度拉长并沿罐水平方向伸展。为了捕获(i)-(iii),Fan等人(J. Fluid Mech.,第838卷,2018年,R1)通过考虑平均位涡的水平平流和粘性扩散的影响进行了扩展。所提出的模型的预测,在整个平均流的演变,是在良好的协议与实验观察,以及基于完整的Navier-Stokes方程的数值模拟。
The mean flow induced by a three-dimensional propagating internal gravity wave beam in a uniformly stratified fluid is studied experimentally and theoretically. Previous related work concentrated on the early stage of mean-flow generation, dominated by the phenomenon of streaming – a horizontal mean flow that grows linearly in time – due to resonant production of mean potential vorticity in the vicinity of the beam. The focus here, by contrast, is on the long-time mean-flow evolution. Experimental observations in a stratified fluid tank for times up to is the beam period, reveal that the induced mean flow undergoes three distinct stages: (i) resonant growth of streaming in the beam vicinity; (ii) saturation of streaming and onset of horizontal advection; and (iii) establishment of a quasi-steady state where the mean flow is highly elongated and stretches in the along-tank horizontal direction. To capture (i)–(iii), the theoretical model of Fan et al. (J. Fluid Mech., vol. 838, 2018, R1) is extended by accounting for the effects of horizontal advection and viscous diffusion of mean potential vorticity. The predictions of the proposed model, over the entire mean-flow evolution, are in excellent agreement with the experimental observations as well as numerical simulations based on the full Navier–Stokes equations.
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