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It is shown that correlation function of the mean wind velocity in a turbulent thermal convection (Rayleigh number $Ra \sim 10^{11}$) exhibits exponential decay with a very long correlation time, while corresponding largest Lyapunov…

Solar and Stellar Astrophysics · Physics 2009-12-25 A. Bershadskii

In order to better understand deviations from equilibrium in turbulent flows, it is meaningful to characterize the dynamics rather than the statistics of turbulence. To this end, the Lyapunov theory provides a useful description of…

Fluid Dynamics · Physics 2019-10-28 Malik Hassanaly , Venkat Raman

The spiraling of adjacent trajectories in chaotic dynamical systems can be characterized by distribution of local angular velocities of rotation of the displacement vector, which is governed by linearized equations of motion. This…

Chaotic Dynamics · Physics 2007-05-23 P. V. Elyutin

We present evidence of the hysteretic nature of dissipation in unsteady turbulent flows. Wind tunnel experiments and direct numerical simulations in oscillating flows show that, at fixed mean Reynolds number, the dissipation constant is…

Fluid Dynamics · Physics 2025-10-28 M. Ahmad , P. D. Mininni , M. Obligado , J. A. Farnsworth

It is shown that distributed chaos with spontaneously broken time translational symmetry (homogeneity) has a stretched exponential frequency spectrum $E(f) \propto \exp-(f/f_0)^{1/2}$. Good agreement has been established with a laboratory…

Fluid Dynamics · Physics 2018-02-12 A. Bershadskii

Kinetic energy (KE) cascade in the turbulent ocean is pivotal in connecting diverse scales of oceanic motions, redistributing energy, and influencing ocean circulation and climate variability. However, its response to global warming remains…

Geophysics · Physics 2025-05-13 Qianqian Geng , Ru Chen , Bo Qiu , Zhao Jing , Xin Su , Gang Huang , Qinyu Liu , Yang Chen

The stability of stratified flows at locations in the Clyde, Irish and Celtic Seas on the UK Continental Shelf is examined. Flows are averaged over periods of 12-30 min in each hour, corresponding to the times taken to obtain reliable…

Atmospheric and Oceanic Physics · Physics 2016-03-23 Zhiyu Liu

We explore the chaotic dynamics of Rayleigh-B\'enard convection using large-scale, parallel numerical simulations for experimentally accessible conditions. We quantify the connections between the spatiotemporal dynamics of the leading-order…

Fluid Dynamics · Physics 2018-10-23 Rachel Levanger , Mu Xu , Jacek Cyranka , Michael Schatz , Konstantin Mischaikow , Mark Paul

Lagrangian chaos is experimentally investigated in a convective flow by means of Particle Tracking Velocimetry. The Finite Size Lyapunov Exponent analysis is applied to quantify dispersion properties at different scales. In the range of…

chao-dyn · Physics 2009-10-31 G. Boffetta , M. Cencini , S. Espa , G. Querzoli

Using a new implementation of ring-diagram helioseismology, we ascertain the strength and spatial scale of convective flows throughout the near-surface shear layer. Our ring-diagram technique employs highly overlapped analysis regions and…

Solar and Stellar Astrophysics · Physics 2015-04-16 Benjamin J. Greer , Bradley W. Hindman , Nicholas A. Featherstone , Juri Toomre

We model Lagrangian lateral mixing and transport of passive scalars in meandering oceanic jet currents by two-dimensional advection equations with a kinematic stream function with a time-dependent amplitude of a meander imposed. The…

Chaotic Dynamics · Physics 2012-02-03 M. V. Budyansky , S. V. Prants

A recent paper by Stanimirovic etal (2008) presents quit interesting results from HI observations of the Magellanic Stream (MS) tip. The high spatial resolution of the data reveals rich and complex morphological and kinematic structures;…

Astrophysics · Physics 2008-09-29 Itzhak Goldman

Eccentric mixing is a typical chaotic mixing method, and the study of its mixing characteristics is beneficial to the optimization of the mixing process. In this study, the effects of eccentricity (E/R) and rotational speed (N) on the…

Chemical Physics · Physics 2025-05-01 Ronfgang Wang , Lijun Zhao , Yunshi Yao

It is shown, using results of recent direct numerical simulations, laboratory experiments and atmospheric measurements, that buoyancy driven turbulence exhibits a broad diversity of the types of distributed chaos with its stretched…

Fluid Dynamics · Physics 2016-08-24 A. Bershadskii

The impact of a turbulent flow on wind-driven oceanic near-inertial waves is examined using a linearised shallow-water model of the mixed layer. Modelling the flow as a homogeneous and stationary random process with spatial scales…

Atmospheric and Oceanic Physics · Physics 2016-07-20 Eric Danioux , Jacques Vanneste

The upper few meters of the ocean play a key role in air-sea exchanges of momentum and energy. Two important properties of this layer are the vertical shear of current velocity and the surface velocity. Vertical shear reflects momentum…

Atmospheric and Oceanic Physics · Physics 2026-05-29 G. Hasson , S. Støle-Hentschel , T. Vrećica , V. Shrira , Y. Toledo

In the dynamical systems approach to describing turbulent or otherwise chaotic flows, an important quantity is the Lyapunov exponents and vectors that characterize the strange attractor of the flow. In particular, knowledge of the Lyapunov…

Fluid Dynamics · Physics 2019-05-01 Malik Hassanaly , Venkat Raman

An experiment was performed using SPIV in the LMFL boundary layer facility to determine all the derivative moments needed to estimate the average dissipation rate of the turbulence kinetic energy, $\varepsilon = 2 \nu \langle s_{ij}s_{ij}…

This article investigates penetrative turbulence in the atmospheric boundary layer. Using a large eddy simulation approach, we study characteristics of the mixed layer with respect to surface heat flux variations in the range from 231.48…

Fluid Dynamics · Physics 2015-05-05 Jahrul M. Alam , M. Alamgir Hossain

Oceanic geostrophic turbulence is mostly forced at the surface, yet strong bottom-trapped flows are commonly observed along topographic anomalies. Here we consider the case of a freely evolving, initially surface-intensified velocity field…

Fluid Dynamics · Physics 2015-06-04 Antoine Venaille