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We introduce a numerical strategy to study the evolution of 2D water waves in the presence of a plunging jet. The free-surface Navier-Stokes solution is obtained with a finite but small viscosity. We observe the formation of a surface…

Fluid Dynamics · Physics 2024-05-01 Alan Riquier , Emmanuel Dormy

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…

Fluid Dynamics · Physics 2021-03-12 Alex Ayet , Bertrand Chapron , Peter Sutherland , Gabriel G. Katul

We investigate gas transfer processes occurring at the air-water interface of progressive water waves using high-fidelity numerical simulations. Waves with varying initial steepness, including regular wave patterns, mild spilling and…

Fluid Dynamics · Physics 2025-06-17 Simone Di Giorgio , Sergio Pirozzoli , Alessandro Iafrati

The complex structure of the light curves of Swift GRBs has made the identification of breaks, and the interpretation of the blast wave caused by the burst, more difficult than in the pre-Swift era. We aim to identify breaks, which are…

Astrophysics · Physics 2011-03-28 P. A. Curran , R. L. C. Starling , A. J. van der Horst , R. A. M. J. Wijers

We study tidal dissipation in stars with masses in the range $0.1-1.6 M_\odot$ throughout their evolution, including turbulent effective viscosity acting on equilibrium tides and inertial waves in convection zones, and internal gravity…

Earth and Planetary Astrophysics · Physics 2020-09-09 Adrian J. Barker

We explore the onset of spontaneous strong-to-weak symmetry breaking (SW-SSB) under U(1)-symmetric (i.e., charge-conserving) open-system dynamics. We define this phenomenon for quantum states and classical probability distributions, and…

The kinematic properties of unsteady highly non-linear 3D wave groups have been investigated using a numerical wave tank. Although carrier wave speeds based on zero-crossing analysis remain within +-7% of linear theory predictions, crests…

Atmospheric and Oceanic Physics · Physics 2015-08-26 X. Barthelemy , M. L. Banner , W. L. Peirson , F. Dias , M. Allis

This article is concerned with infinite depth gravity water waves with constant vorticity in two space dimensions. We consider this system expressed in position-velocity potential holomorphic coordinates. We show that, for low-frequency…

Analysis of PDEs · Mathematics 2022-07-19 Mihaela Ifrim , James Rowan , Daniel Tataru , Lizhe Wan

We present an investigation of the fundamental physical processes involved in deep water wave breaking. Our motivation is to identify the underlying reason causing the deficiency of the eddy viscosity breaking model (EVBM) in predicting…

Fluid Dynamics · Physics 2021-02-02 Anatoliy Khait , Zhihua Ma

We consider the two-dimensional water wave problem in the case where the free interface of the fluid meets a vertical wall at a possibly non-right angle; and where the free interface can be non-$C^1$ with angled crests. We assume that the…

Analysis of PDEs · Mathematics 2018-04-02 Rafe H. Kinsey , Sijue Wu

We treat the problem of adiabatic losses and stochastic particle acceleration in gamma-ray burst (GRB) blast waves that decelerate by sweeping up matter from an external medium. The shocked fluid is assumed to be represented by a…

Astrophysics · Physics 2009-10-31 Charles D. Dermer , Mayer Humi

This paper studies the classical water wave problem with vorticity described by the Euler equations with a free surface under the influence of gravity over a flat bottom. Based on fundamental work \cite{ConstantinStrauss}, we first obtain…

Analysis of PDEs · Mathematics 2022-07-12 Guowei Dai , Yong Zhang

We study a fundamental model in fluid mechanics--the 3D gravity water wave equation, in which an incompressible fluid occupying half the 3D space flows under its own gravity. In this paper we show long-term regularity of solutions whose…

Analysis of PDEs · Mathematics 2020-09-15 Fan Zheng

Consider a three-dimensional fluid in a rectangular tank, bounded by a flat bottom, vertical walls and a free surface evolving under the influence of gravity. We prove that one can estimate its energy by looking only at the motion of the…

Analysis of PDEs · Mathematics 2015-06-30 Thomas Alazard

The KdV equation is a model equation for waves at the surface of an inviscid incompressible fluid, and it is well known that the equation describes the evolution of unidirectional waves of small amplitude and long wavelength fairly…

Fluid Dynamics · Physics 2016-03-31 Mats K. Brun , Henrik Kalisch

We discuss the impact of dissipation on the development of the energy spectrum in wave turbulence of gravity surface waves with emphasis on the effect of surface contamination. We performed experiments in the Coriolis facility which is a…

The weakly nonlinear dynamics of the free surface of a dielectric liquid in an electric field directed tangentially to the unperturbed boundary is investigated numerically. Within the framework of the strong field model, when the effects of…

Fluid Dynamics · Physics 2022-11-28 Evgeny A. Kochurin , Olga V. Zubareva , Nikolay M. Zubarev

Impact loads from waves on vessels and coastal structures are complex and may involve wave breaking, which has made these loads difficult to estimate numerically or empirically. Results from previous experiments have shown a wide range of…

In this paper, we study the Cauchy problem for the four-wave kinetic equation describing the weak turbulence of gravity water waves. The mathematical challenges of this analysis stem primarily from two interrelated aspects: (1) the extreme…

Analysis of PDEs · Mathematics 2026-03-12 Yulin Pan , Xiaoxu Wu

This paper reports statistically significant correlations between various burst parameters, observed in a sample of 156 GRBs belonging to BATSE 4B catalog with T90 less than 2 s. The number of subpulses in a burst is strongly correlated not…

Astrophysics · Physics 2007-05-23 Varsha Gupta , Patrick Das Gupta , P. N. Bhat