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The statistics of the energy and helicity fluxes in isotropic turbulence are studied using high resolution direct numerical simulation. The scaling exponents of the energy flux agree with those of the transverse velocity structure functions…

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

The purpose of this brief comunication is to improve a hypothesis of the previous work of the author (de Divitiis, Theor Comput Fluid Dyn, doi:10.1007/s00162-010-0211-9) dealing with the finite--scale Lyapunov analysis of isotropic…

流体动力学 · 物理学 2013-04-02 Nicola de Divitiis

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 · 物理学 2009-10-31 G. Boffetta , M. Cencini , S. Espa , G. Querzoli

A study of the relationship between Lagrangian statistics and flow topology in fluid turbulence is presented. The topology is characterized using the Weiss criterion that provides a simplified tool to partition the flow into topologically…

流体动力学 · 物理学 2015-05-19 B. Kadoch , D. del-Castillo-Negrete , W. J. T. Bos , K. Schneider

We study Lyapunov exponents of tracers in compressible homogeneous isotropic turbulence at different turbulent Mach number $M_t$ and Taylor-scale Reynolds number $Re_\lambda$. We demonstrate that statistics of finite-time Lyapunov exponents…

流体动力学 · 物理学 2023-12-04 Haijun Yu , Itzhak Fouxon , Jianchun Wang , Xiangru Li , Li Yuan , Shipeng Mao , Michael Mond

We provide experimental measurements for the effective scaling of the Taylor-Reynolds number within the bulk $\text{Re}_{\lambda,\text{bulk}}$, based on local flow quantities as a function of the driving strength (expressed as the Taylor…

流体动力学 · 物理学 2018-02-14 Rodrigo Ezeta , Sander G. Huisman , Chao Sun , Detlef Lohse

Kelvin's Theorem on conservation of circulations is an essential ingredient of G. I. Taylor's theory of turbulent energy dissipation by the process of vortex-line stretching. In previous work, we have proposed a nonlinear mechanism for the…

流体动力学 · 物理学 2009-11-11 Gregory L. Eyink

The Lagrangian velocity statistics of dissipative drift-wave turbulence are investigated. For large values of the adiabaticity (or small collisionality), the probability density function of the Lagrangian acceleration shows exponential…

流体动力学 · 物理学 2010-09-29 Benjamin Kadoch , Wouter Bos , Kai Schneider

We provide evidence that the small-scale statistics of the acceleration of a test particle in high-Reynolds number Lagrangian turbulence is correctly described by Tsallis statistics with entropic index q=3/2. We present theoretical…

流体动力学 · 物理学 2009-11-07 Christian Beck

Three-dimensional turbulence is usually studied experimentally by using a spatially localized forcing at large scales (e.g. via rotating blades or oscillating grids), often in a deterministic way. Here, we report an original technique where…

We study Lagrangian trajectories and scalar transport statistics in decaying Burgers turbulence. We choose velocity fields, solutions of the inviscid Burgers equation, whose probability distributions are specified by Kida's statistics. They…

chao-dyn · 物理学 2009-10-31 Michel Bauer , Denis Bernard

Self-consistent closure theory for passive-scalar turbulence has been developed on the basis of the Hessian of the scalar field. As a primitive indicator of spatial structure of the scalar, we employ the Hessian into the core of the theory…

流体动力学 · 物理学 2021-09-13 Taketo Ariki , Kyo Yoshida

The autocorrelation functions for the force on a particle, the velocity of a particle, and the transverse momentum flux are studied for the power law potential $v(r)=\epsilon (\sigma /r)^{\nu}$ (soft spheres). The latter two correlation…

统计力学 · 物理学 2009-11-10 James W. Dufty , Matthieu H. Ernst

In homogeneous and isotropic turbulence, measurements of the longitudinal velocity derivative, $\partial_1 u_1$, make it possible to estimate a surrogate of the rate of energy dissipation per unit mass, $\epsilon$: $\epsilon_s = 15 \nu…

流体动力学 · 物理学 2026-01-26 Ping-Fan Yang , Haitao Xu , Alain Pumir

The statistics of the deformation and breakup of neutrally buoyant sub-Kolmogorov ellipsoidal drops is investigated via Lagrangian simulations of homogeneous isotropic turbulence. The mean lifetime of a drop is also studied as a function of…

流体动力学 · 物理学 2018-09-07 Samriddhi Sankar Ray , Dario Vincenzi

High resolution numerical simulations of stationary inverse energy cascade in two-dimensional turbulence are presented. Deviations from Gaussianity of velocity differences statistics are quantitatively investigated. The level of statistical…

chao-dyn · 物理学 2009-10-31 G. Boffetta , A. Celani , M. Vergassola

A phenomenological model for the dissipation of scalar fluctuations due to the straining by the fluid motion is proposed in this letter. An explicit equation is obtained for the time evolution of the probability distribution function of a…

流体动力学 · 物理学 2015-06-26 Antoine Venaille , Joel Sommeria

Homogeneous and isotropic turbulent fields obtained from two DNS databases (with $\mbox{Re}_\lambda$ equal to 150 and 418) were seeded with point particles that moved with the local fluid velocity to obtain Lagrangian pressure histories.…

流体动力学 · 物理学 2020-01-29 Mehedi Bappy , Pablo M. Carrica , Gustavo C. Buscaglia

The diffusivity of tagged particles is demonstrated to be heterogeneous on time scales comparable to or less than the structural relaxation time %taking place at the interparticle distance in a highly supercooled liquid via 3D molecular…

软凝聚态物质 · 物理学 2009-10-31 Ryoichi Yamamoto , Akira Onuki

Based on the Karman-Howarth equation in 3D incompressible fluid, a new isotropic turbulence scale evolution equation and its related theory progress. The present results indicate that the energy cascading process has remarkable similarities…

流体动力学 · 物理学 2016-06-22 Zheng Ran
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