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The universality of intermittency in hydrodynamic turbulence is considered based on a recent model for the velocity gradient tensor evolution. Three possible versions of the model are investigated differing in the assumed correlation…

流体动力学 · 物理学 2007-05-23 Laurent Chevillard , Charles Meneveau

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

We introduce a modal representation for Lagrangian trajectories in turbulence, termed Lagrangian Proper Orthogonal Decomposition (LPOD). An ensemble of particle trajectories is used to construct velocity time series, which are normalized…

流体动力学 · 物理学 2026-04-27 Ron Shnapp , Stefano Brizzolara

Turbulence is prevalent in nature and industry, from large-scale wave dynamics to small-scale combustion nozzle sprays. In addition to the multi-scale nonlinear complexity and both randomness and coherent structures in its dynamics,…

In this paper we discuss the dynamical features of intermittent fluctuations in homogeneous shear flow turbulence. In this flow the energy cascade is strongly modified by the production of turbulent kinetic energy related to the presence of…

混沌动力学 · 物理学 2007-05-23 P. Gualtieri , C. M Casciola , R. Benzi , G. Amati , R. Piva

An analytic perturbation theory is suggested in order to find finite-size corrections to the scaling power laws. In the frame of this theory it is shown that the first order finite-size correction to the scaling power laws has following…

混沌动力学 · 物理学 2011-11-10 A. Bershadskii

The quantum dissipative dynamics of a tunneling process through double barrier structures is investigated on the basis of a rigorous treatment for the first time. We employ a Caldeira-Leggett Hamiltonian with an effective potential…

介观与纳米尺度物理 · 物理学 2013-02-28 Atsunori Sakurai , Yoshitaka Tanimura

Lagrangian acceleration has been investigated both experimentally and numerically in the past, and it has been shown to exhibit extreme fluctuations, which have been rationalized as events in which tracer particles get trapped into vortical…

流体动力学 · 物理学 2025-07-24 Lorenzo Piro , Massimo Cencini , Roberto Benzi

A new scaling theory for spinodal decomposition in the inertial hydrodynamic regime is presented. The scaling involves three relevant length scales, the domain size, the Taylor microscale and the Kolmogorov dissipation scale. This allows…

凝聚态物理 · 物理学 2009-10-31 V M Kendon

We develop a stochastic model for the velocity gradients dynamics along a Lagrangian trajectory. Comparing with different attempts proposed in the literature, the present model, at the cost of introducing a free parameter known in…

流体动力学 · 物理学 2018-02-23 Rodrigo M. Pereira , Luca Moriconi , Laurent Chevillard

We present a dynamical log-stable process for the spatio-temporal evolution of the energy-dissipation field in fully developed turbulence. The process is constructed from multifractal scaling relations required for two-point correlators of…

统计力学 · 物理学 2007-05-23 J. Schmiegel , M. Greiner

A new transient regime in the relaxation towards absolute equilibrium of the conservative and time-reversible 3-D Euler equation with high-wavenumber spectral truncation is characterized. Large-scale dissipative effects, caused by the…

混沌动力学 · 物理学 2009-11-10 C. Cichowlas , P. Bonaiti , F. Debbasch , M. Brachet

We investigate the connection between the inertial range and the dissipation range statistics of rotating turbulence through detailed simulations of a helical shell model and a multifractal analysis. In particular, by using the latter, we…

We relate the intermittent fluctuations of velocity gradients in turbulence to a whole range of local dissipation scales generalizing the picture of a single mean dissipation length. The statistical distribution of these local dissipation…

流体动力学 · 物理学 2007-10-29 Joerg Schumacher

We consider the enstrophy cascade in forced two-dimensional turbulence with a linear drag force. In the presence of linear drag, the energy wavenumber spectrum drops with a power law faster than in the case without drag, and the vorticity…

软凝聚态物质 · 物理学 2009-11-11 Yue-Kin Tsang , Edward Ott , Thomas M. Antonsen , Parvez N. Guzdar

In fully developed homogeneous and isotropic turbulence, the Lagrangian and Eulerian descriptions of motion, although formally equivalent, become statistically decoupled. In this work, by invoking Liouville theorem, we show that the joint…

流体动力学 · 物理学 2026-03-31 Nicola de Divitiis

We show that the classical Kolmogorov and Richardson scaling laws in fully developed turbulence are consistent with a random Gaussian force field. Numerical simulations of a shell model approximation to the Navier-Stokes equations suggest…

混沌动力学 · 物理学 2009-11-13 Mogens H. Jensen , Kim Sneppen , Luiza Angheluta

Using volumetric velocity data from a turbulent laboratory water flow and numerical simulations of homogeneous, isotropic turbulence, we present a direct experimental and numerical assessment of Kolmogorov's first refined similarity…

流体动力学 · 物理学 2019-02-11 John M. Lawson , Eberhard Bodenschatz , Anna N. Knutsen , James R. Dawson , Nicholas A. Worth

A parallel pseudospectral code for the direct numerical simulation (DNS) of isotropic turbulence has been developed. The code has been extensively benchmarked using established results from literature. The code has been used to conduct a…

流体动力学 · 物理学 2013-06-17 Samuel R. Yoffe

We derive the scale-by-scale uncertainty energy budget equation and demonstrate theoretically and computationally the presence of a self-similar equilibrium cascade of decorrelation in an inertial range of scales during the time range of…

流体动力学 · 物理学 2025-07-11 Jin Ge , Joran Rolland , John Christos Vassilicos