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Oceanic waves registered by satellite observations often have curvilinear fronts and propagate over various currents. In this paper, we study long linear and weakly-nonlinear ring waves in a stratified fluid in the presence of a…

Fluid Dynamics · Physics 2016-04-12 K. R. Khusnutdinova , X. Zhang

We investigate numerically the influence of a weak current on wind-generated surface deformations for wind velocity below the onset of regular waves. In that regime, the liquid surface is populated by small disorganised deformations…

Fluid Dynamics · Physics 2020-12-09 C. Nove-Josserand , S. Perrard , A. Lozano-Duran , M. Benzaquen , M. Rabaud , F. Moisy

We examine a two-dimensional deep-water surface gravity wave packet generated by a pressure disturbance in the Lagrangian reference frame. The pressure disturbance has the form of a narrow-banded weakly nonlinear deep-water wave packet.…

Fluid Dynamics · Physics 2025-02-25 Nick Pizzo , Gregory L. Wagner

Theoretical studies on the modulation of unidimensional regular waves over a flat bottom due to a current typically assign an asymmetry between the effects of opposing/following streams on the evolution of major sea variables, such as…

Fluid Dynamics · Physics 2026-01-27 Ina Teutsch , Saulo Mendes , Jerome Kasparian

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

Investigation of propagation, conversion, and scattering of MHD waves in the Sun is very important for understanding the mechanisms of observed oscillations and waves in sunspots and active regions. We have developed 3D linear MHD numerical…

Astrophysics · Physics 2011-02-11 K. V. Parchevsky , A. G. Kosovichev

We investigate experimentally the influence of the liquid viscosity on the problem of the generation of waves by a turbulent wind at the surface of a liquid, extending the results of Paquier, Moisy and Rabaud [Phys. Fluids {\bf 27}, 122103…

Fluid Dynamics · Physics 2020-12-09 Anna Paquier , Frederic Moisy , Marc Rabaud

We modify the nonlinear shallow water equations, the Korteweg-de Vries equation, and the Whitham equation, to permit constant vorticity, and examine wave breaking, or the lack thereof. By wave breaking, we mean that the solution remains…

Analysis of PDEs · Mathematics 2017-05-19 Vera Mikyoung Hur

Most terrestrial sand seas form at `horse' latitudes, where the wind direction exhibits seasonal variation. Here, we extend the two-dimensional linear stability analysis of a flat sand bed associated with a unidirectional wind to the…

The classical problem of irrotational long waves on the surface of a shallow layer of an ideal fluid moving under the influence of gravity as well as surface tension is considered. A systematic procedure for deriving an equation for surface…

Fluid Dynamics · Physics 2015-08-04 Georgy I. Burde , Artur Sergyeyev

We investigate the energy growth and dissipation of wind-forced breaking waves at high wind speed using direct numerical simulations of the coupled air-water Navier-Stokes equations. A turbulent wind boundary layer drives the growth of a…

We study the flow of water waves over bathymetry that varies periodically along one direction. We derive a linearized, homogenized model and show that the periodic bathymetry induces an effective dispersion, distinct from the dispersion…

Fluid Dynamics · Physics 2021-07-01 Manuel Quezada de Luna , David I. Ketcheson

The last decade has seen a significant increase in the number of studies devoted to wave turbulence. Many deal with water waves, as modeling of ocean waves has historically motivated the development of weak turbulence theory, which adresses…

Fluid Dynamics · Physics 2021-07-09 Eric Falcon , Nicolas Mordant

One the major factors determining the development and evolution of atmospheric convection is the sea surface temperature and its variability. Results of this thesis show that state of atmospheric convection impacts the diurnal distribution…

Atmospheric and Oceanic Physics · Physics 2016-03-04 Dariusz B. Baranowski

A theoretical model is proposed to explain the roughness characteristics of an ice surface grown from a gravity and wind-driven supercooled water film flowing over an inclined plane. The effects of the water supply rate, plane slope and air…

Fluid Dynamics · Physics 2015-03-19 K. Ueno , M. Farzaneh

A forced KdV equation is derived to describe weakly nonlinear, shallow water surface wave propagation over non trivial bottom boundary condition. We show that different functional forms of bottom boundary conditions self-consistently…

Pattern Formation and Solitons · Physics 2015-06-19 Abhik Mukherjee , M. S. Janaki

The surface gravity wave evolution, imitating tsunamis triggered by the ocean floor's arbitrary temporal motion over a generic seafloor topography, is investigated using the linearised water wave theory of a compressible ocean. The…

Fluid Dynamics · Physics 2025-09-30 Ravindra Pethiyagoda , Santu Das , Michael H. Meylan

The authors of the paper "The third-order perturbed Korteweg-de Vries equation for shallow water waves with a non-flat bottom" [1] claim that they have derived the full third order perturbed KdV equation for the case of uneven bottom. We…

Fluid Dynamics · Physics 2018-04-06 Piotr Rozmej , Anna Karczewska

Satellite observations of acoustic-gravity waves in the polar regions of the atmosphere indicate a close connection of these waves with wind flows. The paper investigates the peculiarities of the propagation of AGWs in spatially…

Atmospheric and Oceanic Physics · Physics 2023-11-09 A. K. Fedorenko , E. I. Kryuchkov , O. K. Cheremnykh , Yu. O. Klymenko , S. V. Melnychuk

Recent research shows that the surface wave energy dissipation, which is the vertical energy flux across the air-sea interface, can be calculated as the product of air density, reference wind speed cubed and an energy transfer coefficient…

Atmospheric and Oceanic Physics · Physics 2019-06-24 Paul A. Hwang
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