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This manuscript concerns the dynamical interactions between wind and water waves, which are characterized through two-phase free interface problems for the Euler equations. We provide a comprehensive derivation on the linearized problems of…

偏微分方程分析 · 数学 2025-08-04 Changfeng Gui , Sicheng Liu

The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom…

流体动力学 · 物理学 2019-02-19 Alan C. Compelli , Rossen I. Ivanov , Calin I. Martin , Michail D. Todorov

We investigate a coupled atmosphere-ocean model including the mechanical and thermodynamical interaction between the two fluids for the mid-latitudes. The formulation combines a multilayer quasi-geostrophic dynamical framework with…

偏微分方程分析 · 数学 2025-12-23 Federico Fornasaro , Tobias Kuna , Giulia Carigi

A two-dimensional water wave system is examined consisting of two discrete incompressible fluid domains separated by a free common interface. In a geophysical context this is a model of an internal wave, formed at a pycnocline or…

流体动力学 · 物理学 2018-11-09 Alan Compelli , Rossen Ivanov

Some dynamical properties present in a problem concerning the acceleration of particles in a wave packet are studied. The dynamics of the model is described in terms of a two-dimensional area preserving map. We show that the phase space is…

混沌动力学 · 物理学 2011-09-14 Diego F. M. Oliveira , Marko Robnik , Edson D. Leonel

We consider interactions between surface and interfacial waves in the two layer system. Our approach is based on the Hamiltonian structure of the equations of motion, and includes the general procedure for diagonalization of the quadratic…

流体动力学 · 物理学 2023-07-19 Joseph Zaleski , Philip Zaleski , Yuri V Lvov

Since the prediction of climate is mainly considered as a prediction of second kind, it is indispensable to assess the accuracy with which these boundary conditions can be determined so that we can find a reasonable answer, whether climate…

大气与海洋物理 · 物理学 2009-11-13 Gerhard Kramm , Ralph Dlugi

Air-sea drag governs the momentum transfer between the atmosphere and the ocean, and remains largely unknown in hurricane winds. We revisit the momentum budget and eddy-covariance methods to estimate the surface drag coefficient in the…

大气与海洋物理 · 物理学 2020-09-15 Milan Curcic , Brian K. Haus

We study the statistics of wind-driven open ocean currents. Using the Ekman layer model for the integrated currents, we investigate, analytically and numerically, the relation between the wind distribution and its temporal correlations and…

大气与海洋物理 · 物理学 2013-05-17 Golan Bel , Yosef Ashkenazy

The coupling between wind-waves and atmospheric surface layer turbulence sets surface drag. This coupling is however usually represented through a roughness length. Originally suggested on purely dimensional grounds, this roughness length…

流体动力学 · 物理学 2021-03-12 Alex Ayet , Bertrand Chapron , Peter Sutherland , Gabriel G. Katul

We introduce an analytical model that describes the vertical structure of Ekman boundary layer flows coupled to the Monin-Obukhov Similarity Theory (MOST) surface layer representation, which is valid for conventionally neutral (CNBL) and…

流体动力学 · 物理学 2024-12-04 Ghanesh Narasimhan , Dennice F. Gayme , Charles Meneveau

A bypass transition scenario in a wind-stress driven aqueous flow is analysed using a temporally developing boundary layer model with accelerating surface drift velocity. The parameters of the model are selected to mimic a wave-tank…

流体动力学 · 物理学 2020-12-22 Asim Önder , Philip L. -F. Liu , Wu-ting Tsai

The generation of ocean surface waves by wind is a classic fluid mechanics problem whose theoretical study dates back to 1957, when the two seminal papers by Phillips and Miles were published in the incipient Journal of Fluid Mechanics.…

流体动力学 · 物理学 2023-02-17 Tianyi Li , Lian Shen

We examine a two dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface. The two media are separated by a free common interface. The gravity driven surface and internal…

流体动力学 · 物理学 2017-02-07 Rossen Ivanov

Phase transitions of atmospheric water play a ubiquitous role in the Earth's climate system, but their direct impact on atmospheric dynamics has escaped wide attention. Here we examine and advance a theory as to how condensation influences…

大气与海洋物理 · 物理学 2015-05-18 A. M. Makarieva , V. G. Gorshkov , D. Sheil , A. D. Nobre , B. -L. Li

Wind shortwave instability of a foam layer between the atmosphere and the ocean is examined in order to reach greater understanding of the recent findings of the decrease in momentum transfer from hurricane winds to sea waves. The…

大气与海洋物理 · 物理学 2011-11-09 Yuri M. Shtemler , Ephim Golbraikh , Michael Mond

A system of five ordinary differential equations is studied which combines the Lorenz-84 model for the atmosphere and a box model for the ocean. The behaviour of this system is studied as a function of the coupling parameters. For most…

chao-dyn · 物理学 2015-06-24 L. van Veen , F. Verhulst , T. Opsteegh

We generate explicit height-dependent eddy viscosity coefficients in the Ekman layer from convex wind speed profiles. The solutions we obtain are parameterized in terms of the relative deflection angle between the wind directions at the top…

流体动力学 · 物理学 2022-06-22 Tony Lyons

In this paper we develop an existence theory for small amplitude, steady, two-dimensional water waves in the presence of wind in the air above. The presence of the wind is modeled by a Kelvin--Helmholtz type discontinuity across the…

偏微分方程分析 · 数学 2012-11-15 Samuel Walsh , Oliver Bühler , Jalal Shatah

On the basis of the author's earlier results, a new source function for a numerical wind-wave model optimized by the criterion of accuracy and speed of calculation is substantiated. The proposed source function includes (a) an optimized…

大气与海洋物理 · 物理学 2010-06-30 Vladislav Polnikov