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The phenomenon of energy cascade is addressed in the case of free-shear flows, modeled with the equations for incompressible Newtonian fluids with mixed periodic and free-slip boundary conditions driven by an imposed mean shear profile. The…

偏微分方程分析 · 数学 2026-03-17 Ricardo M. S. Rosa

Three-dimensional (3D) turbulence has both energy and helicity as inviscid constants of motion. In contrast to two-dimensional (2D) turbulence, where a second inviscid invariant--the enstrophy--blocks the energy cascade to small scales, in…

混沌动力学 · 物理学 2009-11-07 Qiaoning Chen , Shiyi Chen , Gregory L. Eyink

The boundary layer flow in a Rayleigh-B\'enard convection cell of rectangular shape has been visualized in this fluid dynamics video. The experiment has been undertaken in air at a Rayleigh number $Ra=1.3\times 10^{10}$ and a Prandtl number…

流体动力学 · 物理学 2012-09-28 Ronald du Puits , Johannes Rilk , Christian Resagk , André Thess

We report a numerical study, supplemented by phenomenological explanations, of ``energy condensation'' in forced 2D turbulence in a biperiodic box. Condensation is a finite size effect which occurs after the standard inverse cascade reaches…

混沌动力学 · 物理学 2009-11-11 M. Chertkov , C. Connaughton , I. Kolokolov , V. Lebedev

In this paper, we analyze the sea surface temperature obtained from the global drifter program. The experimental Fourier power spectrum shows a two-decade power-law behavior as $E_{\theta}(f)\propto f^{-7/3}$ in the frequency domain.…

流体动力学 · 物理学 2019-05-08 Yongxiang Huang , Lipo Wang

A new experimental investigation of decaying turbulence generated by a low-blockage space-filling fractal square grid is presented. We find agreement with previous works by Seoud & Vassilicos (2007) and Mazellier & Vassilicos (2010) but…

流体动力学 · 物理学 2011-10-14 Pedro Valente , Christos Vassilicos

In this paper, the scaling property of the inverse energy cascade and forward enstrophy cascade of the vorticity filed $\omega(x,y)$ in two-dimensional (2D) turbulence is analyzed. This is accomplished by applying a Hilbert-based technique,…

流体动力学 · 物理学 2014-01-20 H. S. Tan , Y. X. Huang , Jianping Meng

The asymptotic behavior of velocity statistics in the tails of distributions and at high Reynolds numbers remains unresolved in turbulence. To investigate this behavior we measured the $n$th-order moments of the distributions of…

流体动力学 · 物理学 2026-05-05 Dipendra Gupta , Gregory P. Bewley

Turbulence is a key process in many astrophysical systems. In this work we explore the statistics of thermal and kinetic energy of isothermal, supersonic, turbulent gas. We develop analytic formulas for the PDF of thermal and kinetic…

星系天体物理 · 物理学 2023-12-21 Branislav Rabatin , David C. Collins

This work presents a review of previous articles dealing with an original turbulence theory proposed by the author, and provides new theoretical insights into some related issues. The new theoretical procedures and methodological approaches…

流体动力学 · 物理学 2020-02-09 Nicola de Divitiis

Direct numerical simulations of homogeneous decaying turbulence with mild background rotation show the existence of a systematic and significant imbalance between the non-linear energy cascade to small scales and its dissipation. By…

流体动力学 · 物理学 2017-03-01 Pedro C. Valente , Vassilios Dallas

We investigate the turbulence below a quasi-flat free surface, focusing on the energy transport in space and across scales. We leverage a large zero-mean-flow tank where homogeneous turbulence is generated by randomly actuated jets. A wide…

流体动力学 · 物理学 2024-12-18 Daniel J. Ruth , Filippo Coletti

In the context of incompressible fluids, the observation that turbulent singular structures fail to be space filling is known as ``intermittency'' and it has strong experimental foundations. Consequently, as first pointed out by Landau,…

偏微分方程分析 · 数学 2023-12-19 Luigi De Rosa , Philip Isett

In helical turbulence a linear cascade of helicity accompanying the energy cascade has been suggested. Since energy and helicity have different dimensionality we suggest the existence of a characteristic inner scale, $\xi=k_H^{-1}$, for…

混沌动力学 · 物理学 2009-11-07 P. D. Ditlevsen , P. Giuliani

The energy spectrum of incompressible turbulence is known to reveal a pileup of energy at those high wavenumbers where viscous dissipation begins to act. It is called the bottleneck effect. Based on direct numerical simulations of the…

流体动力学 · 物理学 2019-03-27 Christian Küchler , Gregory P. Bewley , Eberhard Bodenschatz

To study subregions of a turbulence velocity field, a long record of velocity data of grid turbulence is divided into smaller segments. For each segment, we calculate statistics such as the mean rate of energy dissipation and the mean…

流体动力学 · 物理学 2009-11-13 H. Mouri , A. Hori , M. Takaoka

Inertial range energy transfer in three dimensional fully developed binary fluid turbulence is studied under the assumption of statistical homogeneity. Using two point statistics, exact relations corresponding to the energy cascade are…

流体动力学 · 物理学 2023-07-27 Nandita Pan , Supratik Banerjee

Inertial-range features of turbulence are investigated using data from experimental measurements of grid turbulence and direct numerical simulations of isotropic turbulence simulated in a periodic box, both at the Taylor-scale Reynolds…

流体动力学 · 物理学 2021-06-30 Kartik P. Iyer , Gregory P. Bewley , Luca Biferale , Katepalli R. Sreenivasan , P. K. Yeung

Results from Direct Numerical Simulations of particle relative dispersion in three dimensional homogeneous and isotropic turbulence at Reynolds number $Re_\lambda \sim 300$ are presented. We study point-like passive tracers and heavy…

流体动力学 · 物理学 2015-02-19 L. Biferale , A. S. Lanotte , R. Scatamacchia , F. Toschi

Inter-scale kinetic energy transfer in turbulent flows is accompanied by very intense and intermittent spatial-temporal fluctuations. Such intermittency is expected to be particularly prominent in premixed flames, where heat release,…

流体动力学 · 物理学 2024-05-20 Vladimir A. Sabelnikov , Andrei N. Lipatnikov