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This paper looks at the two-layer ocean model from a wave turbulence perspective. A symmetric form of the two-layer kinetic equation for Rossby waves is derived using canonical variables, allowing the turbulent cascade of energy between the…

Fluid Dynamics · Physics 2015-06-17 Katie L Harper , Sergey V Nazarenko , Sergey B Medvedev , Colm Connaughton

In this paper, we investigate the wave solutions of a stochastic rotating shallow water model. This approximate model provides an interesting simple description of the interplay between waves and random forcing ensuing either from the wind…

Fluid Dynamics · Physics 2023-05-02 Etienne Mémin , Long Li , Noé Lahaye , Gilles Tissot , Bertrand Chapron

Whenever oceanic currents flow over rough topography, there is an associated stress that acts to modify the flow. In the deep ocean, this stress is predominantly a form drag due to pressure differentials across topography, caused by the…

Atmospheric and Oceanic Physics · Physics 2026-02-13 Daniel R. Johnston , Callum J. Shakespeare , Navid C. Constantinou

Extensive studies have investigated the transition mechanism of boundary layers initiated by a single primary instability. In a real-world scenario, however, multiple primary instabilities of different physical nature would coexist and…

Fluid Dynamics · Physics 2026-03-18 Xiao-Bai Li , Yifeng Chen , Chihyung Wen , Peixu Guo

Waves propagating through weakly disordered smooth linear media undergo a universal phenomenon called branched flow. Branched flow has been observed and studied experimentally in various systems by considering coherent waves. Recent…

Analysis of PDEs · Mathematics 2025-04-09 Josselin Garnier , Antonio Picozzi , Theo Torres

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

Nonlinear interaction and breaking of internal ocean waves are responsible for much of the interior ocean mixing, affecting ocean carbon storage and the global overturning circulation. These interactions may affect the observed Garrett-Munk…

Chaotic Dynamics · Physics 2025-12-16 Golan Bel , Eli Tziperman

The standing surface waves in a rectangular vertically oscillating vessel filled with water (Faraday waves) in the presence of a floating elastic sheet are studied experimentally and theoretically. The threshold amplitude of the instability…

Fluid Dynamics · Physics 2023-07-11 Vahideh Sardari , Leila Bahmani , Maniya Maleki

One of the pivotal questions in the dynamics of the oceans is related to the cascade of mechanical energy in the abyss and its contribution to mixing. Here, we propose internal wave attractors in the large amplitude regime as a unique…

We investigate the stability of stratified fluid layers undergoing homogeneous and periodic tidal deformation. We first introduce a local model which allows to study velocity and buoyancy fluctuations in a Lagrangian domain periodically…

Fluid Dynamics · Physics 2018-03-14 Thomas Le Reun , Benjamin Favier , Michael Le Bars

Through basin-scale circulations, the ocean regulates global distributions of heat, nutrients, and greenhouse gases. To properly predict the future of the ocean under climate change, we need to develop a thorough understanding of the…

Fluid Dynamics · Physics 2024-08-13 Zachary Taebel , Alberto Scotti , Pierre-Yves Passaggia , Dylan Bruney

We develop a perturbation-based frequency-response framework for analyzing amplification mechanisms that are central to subcritical routes to transition in wall-bounded shear flows. By systematically expanding the input-output dynamics of…

Fluid Dynamics · Physics 2026-05-04 Dušan Božić , Anubhav Dwivedi , Mihailo R. Jovanović

The acoustic wave-propagation without mean flow and heat flux can be described in terms of velocity and pressure by the compressible nonlinear Navier-Stokes equations, where boundary layers appear at walls due to the viscosity and a…

Analysis of PDEs · Mathematics 2017-01-10 Anastasia Thoens-Zueva , Kersten Schmidt , Adrien Semin

Direct phase-resolved simulations are performed to investigate the propagation and scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the full time-dependent equations for nonlinear potential flow coupled…

Fluid Dynamics · Physics 2022-11-30 Boyang Xu , Philippe Guyenne

Nonlinear waves are a robust phenomenon observed in complex systems ranging from mechanics to ecology. Fronts are fundamental due to their robustness against perturbations and capacity to propagate one state over another. Controlling and…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos

The energy pathways from propagating internal waves to the scales of irreversible mixing in the ocean are not fully described. In the ocean interior, the triadic resonant instability is an intrinsic destabilization process that may enhance…

Fluid Dynamics · Physics 2021-02-10 Yvan Dossmann , Florence Pollet , Philippe Odier , Thierry Dauxois

Flutter stability is a dominant design constraint of modern gas and steam turbines. To further increase the feasible design space, flutter-tolerant designs are currently explored, which may undergo Limit Cycle Oscillations (LCOs) of…

Computational Engineering, Finance, and Science · Computer Science 2021-02-12 Christian Berthold , Johann Gross , Christian Frey , Malte Krack

It is shown that spatially periodic one-dimensional surface waves in shallow water behave almost linearly, provided large part of the energy is contained in sufficiently high frequencies. The amplitude is not required to be small (apart…

Fluid Dynamics · Physics 2010-02-22 M. B. Erdogan , N. Tzirakis , V. Zharnitsky

We study the coupled small-amplitude motion of the mechanical system consisting of infinitely deep water and a structure immersed in it. The former is bounded above by a free surface, whereas the latter is formed by an arbitrary finite…

Mathematical Physics · Physics 2014-10-23 Nikolay Kuznetsov , Oleg Motygin

Using simple kinematics, we propose a general theory of linear wave interactions between the interfacial waves of a two dimensional (2D), inviscid, multi-layered fluid system. The strength of our formalism is that one does not have to…

Fluid Dynamics · Physics 2017-04-05 Anirban Guha , Firdaus E. Udwadia