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We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, two-dimensional sets of waves with several crests and troughs in…

Analysis of PDEs · Mathematics 2011-04-04 Mats Ehrnström , Joachim Escher , Erik Wahlén

This study explores experimentally the turbulent flow in a laboratory flume, interacting with waves propagated against the flow. It focuses a region of wave-blocking for which there is a streamwise location on the water surface, where the…

Fluid Dynamics · Physics 2018-04-18 Debasmita Chatterjee , B. S. Mazumder , Subir Ghosh

This study analyzes steady periodic hydroelastic waves propagating on the water surface of finite depth beneath nonlinear elastic membranes. Unlike previous work \cite{BaldiT,BaldiT1,Toland,Toland1}, our formulation accommodates rotational…

Analysis of PDEs · Mathematics 2025-08-07 Yong Zhang

In this paper we investigate the qualitative behaviour of the pressure function beneath an extreme Stokes wave over infinite depth. The presence of a stagnation point at the wave-crest of an extreme Stokes wave introduces a number of…

Analysis of PDEs · Mathematics 2016-03-23 Tony Lyons

Microscale turbulent flow in porous media is conducive to the development of flow instabilities due to strong vortical and shearing flow occurring within the pore space. When the flow instabilities around individual solid obstacles interact…

Fluid Dynamics · Physics 2025-04-03 Vishal Srikanth , Andrey V. Kuznetsov

The turbulent flow past a wall-mounted square cylinder with an aspect ratio of four was investigated with the aid of Spalart-Allmaras improved delayed detached-eddy simulation (S-A IDDES) and proper orthogonal decomposition (POD). The…

Fluid Dynamics · Physics 2020-12-22 Mustafa Zhuhair Gheni Yousif , HeeChang Lim

This note discusses basic properties of vorticity in groundwater flow theory. An evolution equation for the vorticity vector is derived to demonstrate that, when present, vorticity decreases very rapidly. In addition, it is shown how…

Fluid Dynamics · Physics 2014-07-30 José Jorge Nader

The dynamics of small-scale structures in free-surface turbulence is crucial to large-scale phenomena in natural and industrial environments. Here we conduct experiments on the quasi-flat free surface of a zero-mean-flow turbulent water…

Fluid Dynamics · Physics 2025-03-14 Yinghe Qi , Yaxing Li , Filippo Coletti

We study the generation of 2D turbulence in Faraday waves by investigating the creation of spatially periodic vortices in this system. Measurements which couple a diffusing light imaging technique and particle tracking algorithms allow the…

Fluid Dynamics · Physics 2014-05-09 N. Francois , H. Xia , H. Punzmann , S. Ramsden , M. Shats

The propagation of surface water waves over rough topographical bottoms is investigated by the multiple scattering theory. It is shown that the waves can be localized spatially through the process of multiple scattering and wave…

Fluid Dynamics · Physics 2009-11-10 Liang-shan Chen , Zhen Ye

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel

Coherent structures, such as solitary waves, appear in many physical problems, including fluid mechanics, optics, quantum physics, and plasma physics. A less studied setting is found in geophysics, where highly viscous fluids couple to…

Pattern Formation and Solitons · Physics 2008-01-04 Gideon Simpson , Michael I. Weinstein

Scattering of random surface gravity waves by small amplitude topography in the presence of a uniform current is investigated theoretically. This problem is relevant to ocean waves propagation on shallow continental shelves where tidal…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Rudy Magne , Fabrice Ardhuin

Contrasting with free shear flows presenting velocity profiles with inflection points which cascade to turbulence in a relatively mild way, wall bounded flows are deprived of (inertial) instability modes at low Reynolds numbers and become…

Fluid Dynamics · Physics 2009-11-13 Paul Manneville

Quasigeostrophic flows are induced by spatial variations in interior potential vorticity and boundary buoyancy. We begin by developing the geostrophic turbulence theory of boundary buoyancy anomalies in a fluid with vanishing potential…

Fluid Dynamics · Physics 2022-07-21 Houssam Yassin

Localized turbulence is common in geophysical flows, where the roles of rotation and stratification are paramount. In this study, we investigate the evolution of a stratified turbulent cloud under rotation. Recognizing that a turbulent…

Fluid Dynamics · Physics 2023-11-06 Tianyi Li , Minping Wan , Shiyi Chen

Embedded vortices in turbulent wall-bounded flow over a flat plate, generated by a passive rectangular vane-type vortex generator with variable angle $\beta$ to the incoming flow in a low-Reynolds number flow ($Re=2600$ based on the inlet…

Fluid Dynamics · Physics 2019-06-18 Clara M. Velte , Martin O. L. Hansen , Valery L. Okulov

The interacting vorticity wave formalism for shear flow instabilities is extended here to the magnetohydrodynamic (MHD) setting, to provide a mechanistic description for the stabilising and destabilising of shear instabilities by the…

Fluid Dynamics · Physics 2015-11-30 Eyal Heifetz , Julian Mak , Jonas Nycander , Orkan M. Umurhan

Stratified wakes past an isolated conical seamount are simulated at a Froude number of $Fr = 0.15$ and Rossby numbers of $Ro = 0.15$, 0.75, and $\infty$. The wakes exhibit a K{\' a}rm{\' a}n vortex street, unlike their unstratified,…

Fluid Dynamics · Physics 2024-12-03 Jinyuan Liu , Pranav Puthan , Sutanu Sarkar

Knowledge of turbulent flows over non-flat surfaces is of major practical interest in diverse applications. Significant work continues to be reported in the roughness regime at high Reynolds numbers where the cumulative effect of surface…

Fluid Dynamics · Physics 2019-11-27 Balaji Jayaraman , Saadbin Khan