非均匀阻尼宽带波的调制不稳定性:海冰中波浪的应用

IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Physical Review Fluids Pub Date : 2024-09-12 DOI:10.1103/physrevfluids.9.094802
Raphael Stuhlmeier, Conor Heffernan, Alberto Alberello, Emilian Părău
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引用次数: 0

摘要

本文旨在探讨单色波在存在阻尼(如海冰在海面上引起的阻尼)的情况下传播的调制(或本杰明-费尔)不稳定性。基波运动采用空间扎哈罗夫方程建模,并加入均匀或不均匀(随频率变化)阻尼。通过模态截断,可以利用动力系统技术对经典的本杰明-费尔不稳定性的空间模拟进行分析研究。这种方法很容易得到自由表面及其包络,从而深入了解阻尼对调制不稳定性的物理影响。为了补充分析理论,还通过积分阻尼空间扎哈罗夫方程对初始不稳定模式的演变进行了数值研究。这揭示了阻尼对这种不稳定性引起的频谱展宽的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Modulational instability of nonuniformly damped, broad-banded waves: Applications to waves in sea ice
This paper sets out to explore the modulational (or Benjamin-Feir) instability of a monochromatic wave propagating in the presence of damping such as that induced by sea ice on the ocean surface. The fundamental wave motion is modelled using the spatial Zakharov equation, to which either uniform or nonuniform (frequency-dependent) damping is added. By means of mode truncation the spatial analog of the classical Benjamin-Feir instability can be studied analytically using dynamical systems techniques. The formulation readily yields the free surface and its envelope, giving insight into the physical implications of damping on the modulational instability. The evolution of an initially unstable mode is also studied numerically by integrating the damped, spatial Zakharov equation, in order to complement the analytical theory. This sheds light on the effects of damping on spectral broadening arising from this instability.
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来源期刊
Physical Review Fluids
Physical Review Fluids Chemical Engineering-Fluid Flow and Transfer Processes
CiteScore
5.10
自引率
11.10%
发文量
488
期刊介绍: Physical Review Fluids is APS’s newest online-only journal dedicated to publishing innovative research that will significantly advance the fundamental understanding of fluid dynamics. Physical Review Fluids expands the scope of the APS journals to include additional areas of fluid dynamics research, complements the existing Physical Review collection, and maintains the same quality and reputation that authors and subscribers expect from APS. The journal is published with the endorsement of the APS Division of Fluid Dynamics.
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