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A phenomenological theory of the fluctuations of velocity occurring in a fully developed homogeneous and isotropic turbulent flow is presented. The focus is made on the fluctuations of the spatial (Eulerian) and temporal (Lagrangian)…

Evidence is provided that the global distribution of tropical hurricanes is principally determined by a universal function H of a single variable z that in turn is expressible in terms of the local sea surface temperature and latitude. The…

大气与海洋物理 · 物理学 2010-05-11 Robert Ehrlich

In the present study a mathematical model of long-crested water waves propagating mainly in one direction with the effect of Earth's rotation is derived by following the formal asymptotic procedures. Such a model equation is analogous to…

偏微分方程分析 · 数学 2019-05-01 Guilong Gui , Yue Liu , Junwei Sun

A fluctuation law of the energy in freely-decaying, homogeneous and isotropic turbulence is derived within standard closure hypotheses for 3D incompressible flow. In particular, a fluctuation-dissipation relation is derived which relates…

chao-dyn · 物理学 2009-10-28 Gregory L. Eyink

Ocean rogue waves are large and suddenly appearing surface gravity waves, which may cause severe damage to ships and other maritime structures. Despite years of research, the exact origin of rogue waves is still disputed. Linear…

大气与海洋物理 · 物理学 2015-07-30 Simon Birkholz , Carsten Brée , Ivan Veselić , Ayhan Demircan , Günter Steinmeyer

A computational strategy based on large deviation theory (LDT) is used to study the anomalous statistical features of turbulent surface waves propagating past an abrupt depth change created via a step in the bottom topography. The dynamics…

流体动力学 · 物理学 2024-06-12 Di Qi , Eric Vanden-Eijnden

We investigate the properties of relative dispersion of Lagrangian particles in a global-ocean simulation resolving both inertia-gravity waves (IGW) and meso and submesoscale (M/SM) turbulence. More specifically, we test if the dispersion…

The use of the full potential of stellar seismology is made difficult by the improper modeling of the upper-most layers of solar-like stars and their influence on the modeled frequencies. Our knowledge on these \emph{surface effects} has…

太阳与恒星天体物理 · 物理学 2021-02-10 K. Belkacem , F. Kupka , J. Philidet , R. Samadi

The cross-spectral density of coherent Gaussian vortex beams propagating through weak oceanic turbulence is derived from extended Huygens-Fresnel principle and Nikishov spectrum. The evolution of a coherent superposition field composed of…

光学 · 物理学 2019-08-02 Hantao Wang , Huajun Zhang , Mingyuan Ren , Jiandong Cai , Yu Zhang

Wind forcing of the ocean generates a spectrum of inertia-gravity waves that is sharply peaked near the local inertial (or Coriolis) frequency. The corresponding near-inertial waves (NIWs) are highly energetic and play a significant role in…

流体动力学 · 物理学 2023-07-19 Jin-Han Xie , Jacques Vanneste

We discuss continuous cascade models and their potential for modelling the energy dissipation in a turbulent flow. Continuous cascade processes, expressed in terms of stochastic integrals with respect to L\'evy bases, are examples of ambit…

统计力学 · 物理学 2013-05-07 Emil Hedevang , Jürgen Schmiegel

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Freak waves are very large, rare events in a random ocean wave train. Here we study the numerical generation of freak waves in a random sea state characterized by the JONSWAP power spectrum. We assume, to cubic order in nonlinearity, that…

混沌动力学 · 物理学 2009-11-07 Miguel Onorato , Alfred R. Osborne , Marina Serio , Serena Bertone

On the grounds of both widely known experimental and numerical data of the strain-rate tensor statistical properties in the fully developed incompressible turbulent flow and the integral transformations deduced in the article, some…

流体动力学 · 物理学 2015-11-24 A. V. Kopyev , K. P. Zybin

We use the multifractal formalism to describe the effects of dissipation on Lagrangian velocity statistics in turbulent flows. We analyze high Reynolds number experiments and direct numerical simulation (DNS) data. We show that this…

统计力学 · 物理学 2007-05-23 L. Chevillard , S. G. Roux , E. Leveque , N. Mordant , J. -F. Pinton , A. Arneodo

We determine distributions and correlation properties of offshore wind speeds and wind speed increments by analyzing wind data sampled with a resolution of one second for 20 months at different heights above sea level in the North Sea.…

大气与海洋物理 · 物理学 2024-11-11 So-Kumneth Sim , Philipp Maass , H. Eduardo Roman

Formally second-order correct, mathematical descriptions of long-crested water waves propagating mainly in one direction are derived. These equations are analogous to the first-order approximations of KdV- or BBM-type. The advantage of…

偏微分方程分析 · 数学 2017-05-02 J. L. Bona , X. Carvajal , M. Panthee , M. Scialom

The Poggendorff illusion in its classical form of parallel lines interrupting a transversal is viewed from the perspective of being related to the everyday experience of observing the light refraction in water. It is argued that, if one…

光学 · 物理学 2015-12-29 Sergey I. Bozhevolnyi

It is crucial to understand the extreme intermittency of ocean and lake turbulence and turbulent mixing in order to estimate vertical fluxes of momentum, heat and mass by Osborn-Cox flux-dissipation methods. Vast undersampling errors occur…

天体物理学 · 物理学 2007-05-23 Carl H. Gibson

Interference of randomly scattered classical waves naturally leads to familiar speckle patterns, where the wave intensity follows an exponential distribution while the wave field itself is described by a circularly symmetric complex normal…

偏微分方程分析 · 数学 2025-10-13 Guillaume Bal , Anjali Nair