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We investigate Lagrangian relative dispersion in direct numerical simulation of two-dimensional inverse cascade turbulence. The analysis is performed by using both standard fixed time statistics and an exit time approach. Our results are in…

混沌动力学 · 物理学 2007-05-23 G. Boffetta , I. M. Sokolov

We present an investigation of the statistics of velocity gradient related quantities, in particluar energy dissipation rate and enstrophy, along the trajectories of fluid tracers and of heavy/light particles advected by a homogeneous and…

流体动力学 · 物理学 2009-12-30 Roberto Benzi , Luca Biferale , Enrico Calzavarini , Detlef Lohse , Federico Toschi

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

Geophysical fluid flows are predominantly turbulent and often strongly affected by the Earth's rotation, as well as by stable density stratification. Using direct numerical simulations of forced Boussinesq equations, we study the influence…

We exploit the analogy between dynamics of inertial particle pair separation in a random-in-time flow and the Anderson model of a quantum particle on the line in a spatially random real-valued potential. Thereby we get an exact formula for…

混沌动力学 · 物理学 2007-05-23 Peter Horvai

We have performed a direct numerical simulation of dilute turbulent particulate flow in a vertical plane channel, fully resolving the phase interfaces. The flow conditions are the same as those in the main case of "Uhlmann, M., Phys.…

流体动力学 · 物理学 2013-01-28 Manuel Garcia-Villalba , Aman G. Kidanemariam , Markus Uhlmann

The local statistical and geometric structure of three-dimensional turbulent flow can be described by properties of the velocity gradient tensor. A stochastic model is developed for the Lagrangian time evolution of this tensor, in which the…

统计力学 · 物理学 2007-05-23 L. Chevillard , C. Meneveau

We construct sub-grid scale models of incompressible fluids by considering expectations of semi-martingale Lagrangian particle trajectories. Our construction is based on the Lagrangian decomposition of flow maps into mean and fluctuation…

数学物理 · 物理学 2025-04-15 Theo Diamantakis , Ruiao Hu

This work evaluates the magnitude of the turbulent energy cascade in terms of forward and backward scattering by modeling the "stretch and fold" mechanism through a drift-free Hanggi-Klimontovich stochastic process. Mapping this dynamics…

流体动力学 · 物理学 2026-05-26 Nicola de Divitiis

We consider a stochastic process in which independent identically distributed random matrices are multiplied and where the Lyapunov exponent of the product is positive. We continue multiplying the random matrices as long as the norm,…

统计力学 · 物理学 2018-03-14 Michael Wilkinson , John Grant

It was recently suggested that the sign of particle drift in inhomogeneous temperature or turbulence depends on the particle inertia: weakly inertial particles localize near minima of temperature or turbulence intensity (effects known as…

混沌动力学 · 物理学 2016-03-17 Sergey Belan , Alexander Chernykh , Gregory Falkovich

The dispersion of Lagrangian particle pairs is a fundamental process in turbulence, with implications for mixing, transport, and the statistical properties of particles in geophysical and environmental flows. While classical theories…

流体动力学 · 物理学 2025-09-17 Christian Reartes , Pablo D. Mininni , Raffaele Marino

The entropy generation rate in turbulence can be defined using the energy cascade rate as described in the scale-integrated Kolmogorov-Hill equation at a specified length scale. The fluctuation relation (FR) from non-equilibrium…

流体动力学 · 物理学 2025-07-04 Hanxun Yao , Tamer A. Zaki , Charles Meneveau

By tracking tracer particles at high speeds and for long times, we study the geometric statistics of Lagrangian trajectories in an intensely turbulent laboratory flow. In particular, we consider the distinction between the displacement of…

数据分析、统计与概率 · 物理学 2015-05-30 Nicholas T. Ouellette , Eberhard Bodenschatz , Haitao Xu

We compute the Hamiltonian and Lagrangian associated to the large deviations of the trajectory of the empirical distribution for independent Markov processes, and of the empirical measure for translation invariant interacting Markov…

概率论 · 数学 2015-06-17 Frank Redig , Feijia Wang

The random intensity of noise approach to one-dimensional Laval-Dubrulle-Nazarenko type model having deductive support from the three-dimensional Navier-Stokes equation is used to describe Lagrangian acceleration statistics of a fluid…

统计力学 · 物理学 2007-05-23 A. K. Aringazin

We experimentally investigate the Lagrangian dynamics of finite-sized, neutrally buoyant droplets in homogeneous isotropic turbulence. The droplet size follows a log-normal distribution whose average value decreases with increasing Reynolds…

流体动力学 · 物理学 2026-03-02 Lu Li , Yi-Bao Zhang , Yaning Fan , Federico Toschi , Chao Sun

In three-dimensional turbulent flows, the flux of energy from large to small scales breaks time symmetry. We show here that this irreversibility can be quantified by following the relative motion of several Lagrangian tracers. We find by…

流体动力学 · 物理学 2015-06-22 Jennifer Jucha , Haitao Xu , Alain Pumir , Eberhard Bodenschatz

Modeling statistical properties of motion of a Lagrangian particle advected by a high-Reynolds-number flow is of much practical interest and complement traditional studies of turbulence made in Eulerian framework. The strong and nonlocal…

统计力学 · 物理学 2007-05-23 A. K. Aringazin , M. I. Mazhitov

The temporal statistics of incompressible fluid velocity and passive scalar fields in developed turbulent conditions is investigated by means of direct numerical simulations along the trajectories of self-propelled point-like probes…

流体动力学 · 物理学 2018-05-16 Enrico Calzavarini , Yongxiang X. Huang , François G. Schmitt , Lipo P. Wang