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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

The relative dispersion process in two-dimensional free convection turbulence is investigated by direct numerical simulation. In the inertial range, the growth of relative separation, $r$, is expected as $<r^2(t)>\propto t^5$ according to…

混沌动力学 · 物理学 2009-11-11 Takeshi Ogasawara , Sadayoshi Toh

In dilute turbulent particle-laden flows, such as atmospheric dispersion of pollutants or virus particles, the dynamics of tracer-like to low inertial particles are significantly altered by the fluctuating motion of the carrier fluid phase.…

流体动力学 · 物理学 2024-06-19 Josh Williams , Uwe Wolfram , Ali Ozel

Turbulence locally created in laminar pipe flows shows sudden decay or splitting after a stochastic waiting time. In laboratory experiments, the mean waiting time was observed to increase double-exponentially as the Reynolds number (Re)…

流体动力学 · 物理学 2021-02-16 Takahiro Nemoto , Alexandros Alexakis

The circumgalactic medium (CGM) is responsive to kinetic disruptions generated by nearby astrophysical events. In this work, we study the saturation and dissipation of turbulent hydrodynamics within the CGM through an extensive array of 252…

星系天体物理 · 物理学 2024-06-28 Alex Lv , Lile Wang , Renyue Cen , Luis C. Ho

The vorticity random field of turbulent flow is singled out as the main dynamical variable for the description of turbulence, and the evolution equation of the probability density function (PDF) of the vorticity field has been obtained.…

流体动力学 · 物理学 2022-02-23 Jiawei Li , Zhongmin Qian , Mingrui Zhou

The Ly$\alpha$ forest transmission probability distribution function (PDF) is an established probe of the intergalactic medium (IGM) astrophysics, especially the temperature-density relationship of the IGM. We measure the transmission PDF…

Multiplicative cascades have been used in turbulence to generate fields with multifractal statistics and long-range correlations. Examples of continuous and causal stochastic processes which generate such a random field have been carefully…

流体动力学 · 物理学 2020-08-26 G. B. Apolinário , L. Moriconi

Eulerian-Lagrangian models of particle-laden (multiphase) flows describe fluid flow and particle dynamics in the Eulerian and Lagrangian frameworks respectively. Regardless of whether the flow is turbulent or laminar, the particle dynamics…

The power spectrum (PS) of the density field in supersonic turbulence is a fundamental quantity that characterizes the statistical properties of the structures formed in compressible flows. It is also widely used to estimate the Mach number…

星系天体物理 · 物理学 2026-05-12 Pierre Dumond , Jérémy Fensch , Gilles Chabrier , Noé Brucy

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 report optical fiber experiments allowing to investigate integrable turbulence in the focusing regime of the one dimensional nonlinear Schr\"odinger equation (1D-NLSE). Our experiments are very similar in their principle to water tank…

斑图形成与孤子 · 物理学 2015-04-16 Pierre Walczak , Stéphane Randoux , Pierre Suret

We report on simulations of two-dimensional turbulence in the inverse energy cascade regime. Focusing on the statistics of Lagrangian tracer particles, scaling behavior of the probability density functions of velocity fluctuations is…

流体动力学 · 物理学 2009-11-13 Oliver Kamps , Rudolf Friedrich

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 study the thermal Markovian diffusion of tracer particles in a 2D medium with spatially-varying diffusivity $D(r)$, mimicking recently measured, heterogeneous maps of the apparent diffusion coefficient in biological cells. For this…

统计力学 · 物理学 2014-12-24 Andrey G. Cherstvy , Aleksei V. Chechkin , Ralf Metzler

We study the motion of a Brownian particle in a medium with inhomogeneous temperature. In the overdamped regime of low Reynolds numbers, the probability distribution function (PDF) of the particle is obtained from the van Kampen diffusion…

统计力学 · 物理学 2019-06-06 Oded Farago

We use computer simulations to study the microscopic dynamics of an athermal assembly of soft particles near the fluid-to-solid, jamming transition. Borrowing tools developed to study dynamic heterogeneity near glass transitions, we…

材料科学 · 物理学 2010-06-24 Claus Heussinger , Ludovic Berthier , Jean-Louis Barrat

We study statistical properties of two-dimensional turbulent flows. Three systems are considered: the Navier-Stokes equation, surface quasi-geostrophic flow, and a model equation for thermal convection in the Earth's mantle. Direct…

chao-dyn · 物理学 2009-10-31 Norbert Schorghofer

Colliding supersonic bulk flows shape observable properties and internal physics of various astrophysical objects, like O-star winds, molecular clouds, galactic sheets, binaries, or gamma-ray bursts. Using numerical simulations, we show…

太阳与恒星天体物理 · 物理学 2014-01-07 Doris Folini , Rolf Walder , Jean M. Favre

In the limit $d\to\infty$ the role of pressure gradients and that of the incompressibility constraint decreases, thus blurring the difference between transverse and longitudinal velocity correlation functions. Using Polyakov's expression…

chao-dyn · 物理学 2007-05-23 Victor Yakhot