Stability of internal gravity wave modes: from triad resonance to broadband instability

Stability of internal gravity wave modes: from triad resonance to broadband instability
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内部重力波模式的稳定性:从三重共振到宽带不稳定性

DOI:
10.1017/jfm.2023.265
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发表时间:
2023
影响因子:
3.7
通讯作者:
Kakoutas, Christos
Kakoutas, Christos
中科院分区:
工程技术2区
文献类型:
--
作者:
Akylas, T.R.;Kakoutas, Christos

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本文从理论上研究了重力内波模式沿水平分层刚性边界流体层沿着传播的稳定性。分析是基于Floquet特征值问题的微小扰动波模式的小振幅。适当的不稳定机制取决于如何扰动空间尺度相对于基本状态的波长,由参数PSI控制的是由一种新的,多模共振机制,它具有稳定的效果,提供了一个无粘短尺度截止PSI取代。理论预测的支持从解决Floquet本征值问题的模式-1基本状态的数值结果。
A theoretical study is made of the stability of propagating internal gravity wave modes along a horizontal stratified fluid layer bounded by rigid walls. The analysis is based on the Floquet eigenvalue problem for infinitesimal perturbations to a wave mode of small amplitude. The appropriate instability mechanism hinges on how the perturbation spatial scale relative to the basic-state wavelength, controlled by a parameter PSI is replaced by a novel, multi-mode resonance mechanism which has a stabilising effect that provides an inviscid short-scale cut-off to PSI. The theoretical predictions are supported by numerical results from solving the Floquet eigenvalue problem for a mode-1 basic state.
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