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New parameterizations for the spectra dissipation of wind-generated waves are proposed. The rates of dissipation have no predetermined spectral shapes and are functions of the wave spectrum and wind speed and direction, in a way consistent…

Wave breaking is a critical process in the upper ocean: an energy sink for the surface wave field and a source for turbulence in the ocean surface boundary layer. We apply a novel multi-layer numerical solver resolving upper-ocean dynamics…

Fluid Dynamics · Physics 2025-10-13 Jiarong Wu , Stéphane Popinet , Bertrand Chapron , J. Thomas Farrar , Luc Deike

We consider an extension of the kinetic equation developed by Newell & Zakharov (A.C. Newell and V.E. Zakharov. The role of the generalized Phillips' spectrum in wave turbulence. Phys.Lett.A, 372:4230-4233, 2008). The new equation takes…

Atmospheric and Oceanic Physics · Physics 2020-04-22 Sergei I. Badulin , Vladimir E. Zakharov

General scenario of turbulence theory is proposed and applied to streaky wall-bounded turbulence. This scenario introduces a new field of transverse waves. Significance of the theory rests on a mathematical theorem associated with the…

Fluid Dynamics · Physics 2017-11-29 Tsutomu Kambe

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…

Atmospheric and Oceanic Physics · Physics 2010-06-30 Vladislav Polnikov

Dissipation within the turbulent boundary layer under sea ice is one of many processes contributing to wave energy attenuation in ice-covered seas. Although recent observations suggest that the contribution of that process to the total…

Atmospheric and Oceanic Physics · Physics 2021-03-11 Agnieszka Herman

The modeling of wave breaking dissipation in coastal areas is investigated with a fully nonlinear and dispersive wave model. The wave propagation model is based on potential flow theory, which initially assumes non-overturning waves.…

Atmospheric and Oceanic Physics · Physics 2019-12-05 Bruno Simon , Christos E. Papoutsellis , Michel Benoit , Marissa L. Yates

The atmosphere is a nonlinear stratified fluid in which internal gravity waves are present. These waves interact with the flow, resulting in wave turbulence that displays important differences with the turbulence observed in isotropic and…

Fluid Dynamics · Physics 2015-06-23 P. Clark di Leoni , P. D. Mininni

The time-space evolution of the field is described by the transport equation for the 2-dimensional wave energy spectrum density, S(x,t), spread in the space, x, and time, t. This equation has the forcing named the source function, F,…

Atmospheric and Oceanic Physics · Physics 2015-05-20 Vladislav Polnikov

This study establishes a fundamental connection between the dissipation and polarization of spin waves, which are often treated as independent phenomena. Through theoretical analysis and numerical validation, we demonstrate that within the…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Yutian Wang , Jiongjie Wang , Ruoban Ma , Jiang Xiao

Magnetic turbulence in the solar wind is treated from the point of view of electrodynamics. This can be done based on the use of Poynting's theorem attributing all turbulent dynamics to the spectrum of turbulent conductivity. For two…

Space Physics · Physics 2017-01-19 R. A. Treumann , W. Baumjohann

The issue of the equilibrium-range formation in the wind-wave spectrum is studied by a direct numerical simulation. The evolution equation of wind-wave spectrum is numerically solved with using an exact calculation of the Hasselmann kinetic…

Atmospheric and Oceanic Physics · Physics 2017-01-20 Vladislav Polnikov

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

The present study focuses on direct numerical simulations of breaking waves generated by a wave plate at constant water depths. The aim is to quantify the dynamics and kinematics in the breaking process, together with the air entrainment…

In hydrodynamic turbulence, it is well established that the length of the dissipation scale depends on the energy cascade rate, i.e., the larger the energy input rate per unit mass, the more the turbulent fluctuations need to be driven to…

Solar and Stellar Astrophysics · Physics 2017-02-01 Anne Schreiner , Joachim Saur

Sea ice is highly complex due to the inhomogeneity of the physical properties (e.g. temperature and salinity) as well as the permeability and mixture of water and a matrix of sea ice and/or sea ice crystals. Such complexity has proven…

Atmospheric and Oceanic Physics · Physics 2019-03-28 Graig Sutherland , Jean Rabault , Kai H. Christensen , Atle Jensen

Ocean wind waves are a fundamental manifestation of complex dynamics in geophysical fluid systems, characterized by a rich interplay between dispersion and nonlinearity. While linear wave theory provides a first-order description of wave…

Atmospheric and Oceanic Physics · Physics 2026-04-20 Davide Maestrini , Giovanni Dematteis , Alvise Benetazzo , Miguel Onorato

There is growing physical and mathematical interest in the hydrodynamics of dissipationless/dispersive media. Since G.~B.~Whitham's seminal publication fifty years ago that ushered in the mathematical study of dispersive hydrodynamics,…

Pattern Formation and Solitons · Physics 2016-08-02 G. A. El , M. A. Hoefer

The viscously dominated, low Reynolds' number dynamics of multi-phase, compacting media can lead to nonlinear, dissipationless/dispersive behavior when viewed appropriately. In these systems, nonlinear self-steepening competes with wave…

Pattern Formation and Solitons · Physics 2014-01-31 Nicholas K. Lowman , Mark A. Hoefer

We calculate the rate of ocean waves energy dissipation due to whitecapping by numerical simulation of deterministic phase resolving model for dynamics of ocean surface. Two independent numerical experiments are performed. First, we solve…

Atmospheric and Oceanic Physics · Physics 2022-06-03 A. O. Korotkevich , A. O. Prokofiev , V. E. Zakharov
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