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Motivated by observations of turbulence in the strongly stratified ocean thermocline, we use direct numerical simulations to investigate the interaction of a sinusoidal shear flow and a large-amplitude internal gravity wave. Despite strong…

Fluid Dynamics · Physics 2023-06-22 Christopher J. Howland , John R. Taylor , C. P. Caulfield

Although internal gravity waves are generally recognized as an important mechanism to distribute energy through the atmosphere, their dynamics near the instability is only partially understood to date. Many types of instabilities, notably…

Fluid Dynamics · Physics 2023-10-02 Georg Sebastian Voelker , Mark Schlutow

Instabilities at interface of two stream granular flows have been reported in recent experiment [1] that breaking waves can form at the interface between two streams of identical grains flowing on an inclined plane downstream of a splitter…

Classical Physics · Physics 2007-05-23 Hua-Shu Dou , Boo Cheong Khoo , Nhan Phan-Thien

Wave interaction theory can be used as a tool to understand and predict instability in a variety of homogeneous and stratified shear flows. It is however, most often limited to piecewise-linear profiles of the shear layer background…

Fluid Dynamics · Physics 2019-09-04 Jeff Carpenter , Anirban Guha

We analyze the linear stability of monoclinal traveling waves on a constant incline, which connect uniform flowing regions of differing depths. The classical shallow-water equations are employed, subject to a general resistive drag term.…

Fluid Dynamics · Physics 2022-05-18 Jake Langham , Andrew J. Hogg

Wave steepness is a key geometric variable for describing breaking occurrence and its consequences, including energy dissipation and air entrainment. Using three laboratory campaigns under varying spectral conditions and co-flowing wind…

Fluid Dynamics · Physics 2026-05-29 Rui Cao , Enrique M. Padilla , Xu Chen , Adrian H. Callaghan

Ray stability is investigated in environments consisting of a range-independent background sound-speed profile on which a range-dependent perturbation, such as that produced by internal waves in deep ocean environments, is superimposed.…

Chaotic Dynamics · Physics 2009-11-07 F. J. Beron-Vera , M. G. Brown

Internal waves, or waves that propagate within a stratified fluid, may break and cause mixing. While each individual mixing event may be small, collectively, internal wave breaking drive processes in the ocean that are critical to…

Linear and weakly nonlinear stability analyses of an externally shear-imposed, gravity-driven falling film over a uniformly heated wavy substrate are studied. The longwave asymptotic expansion technique is utilized to formulate a single…

Fluid Dynamics · Physics 2024-05-22 Md. Mouzakkir Hossain , Sukhendu Ghosh , Harekrushna Behera , G. P. Raja Sekhar

In this paper, the physics of flow instability and turbulent transition in shear flows is studied by analyzing the energy variation of fluid particles under the interaction of base flow with a disturbance. For the first time, a model…

Fluid Dynamics · Physics 2018-06-20 Hua-Shu Dou

We consider the stability of periodic gravity free-surface water waves traveling downstream at a constant speed over a shear flow of finite depth. In case the free surface is flat, a sharp criterion of linear instability is established for…

Analysis of PDEs · Mathematics 2007-11-28 Vera Mikyoung Hur , Zhiwu Lin

High-frequency wave propagation in near-inertial wave shear has been considered fundamental in setting the spectral character of the oceanic internal wave continuum and for transporting energy to wave-breaking. We compare idealized ray…

Atmospheric and Oceanic Physics · Physics 2023-10-27 Kurt L Polzin , Yuri V Lvov

Origin of hydrodynamic turbulence in rotating shear flows is investigated. The particular emphasis is the flows whose angular velocity decreases but specific angular momentum increases with increasing radial coordinate. Such flows are…

High Energy Astrophysical Phenomena · Physics 2013-02-19 Banibrata Mukhopadhyay , Amit K. Chattopadhyay

With the aim of assessing internal wave-driven mixing in the ocean, we develop a new technique for direct numerical simulations of stratified turbulence. Since the spatial scale of oceanic internal gravity waves is typically much larger…

Fluid Dynamics · Physics 2021-04-07 Y. Onuki , S. Joubaud , T. Dauxois

A gradient-wind balanced flow with an elliptic streamline parametrically excites internal inertia-gravity waves through ageostrophic anticyclonic instability (AAI). This study numerically investigates the breaking of internal waves and the…

Fluid Dynamics · Physics 2023-06-23 Yohei Onuki , Sylvain Joubaud , Thierry Dauxois

Lee waves generated by stratified flow over rough bottom topography in the ocean extract momentum and energy from the geostrophic flow, causing drag and enhancing turbulence and mixing in the interior ocean when they break. Inviscid linear…

Fluid Dynamics · Physics 2021-09-01 Lois Baker , Ali Mashayek

Inertial waves in fluid regions of planets and stars play an important role in their dynamics and evolution, through energy, heat and angular momentum transport and mixing of chemicals. While inertial wave propagation in flows prescribed by…

Geophysics · Physics 2026-05-20 Lennart Kira , Jerome Noir , Daniel Lecoanet

We investigate strongly nonlinear stationary gravity waves which experience refraction due to a thin vertical shear layer of horizontal background wind. The velocity amplitude of the waves is of the same order of magnitude as the background…

Fluid Dynamics · Physics 2023-09-14 Mark Schlutow , Georg S. Völker

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Within the framework of shallow-water magnetohydrodynamics, we investigate the linear instability of horizontal shear flows, influenced by an aligned magnetic field and stratification. Various classical instability results, such as…

Fluid Dynamics · Physics 2016-01-15 Julian Mak , Stephen D. Griffiths , D. W. Hughes
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