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Identification and extraction of vortical structures and of waves in a disorganised flow is a mayor challenge in the study of turbulence. We present a study of the spatio-temporal behavior of turbulent flows in the presence of different…

流体动力学 · 物理学 2015-11-09 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni

In this visualisation the instantaneous local velocity is expressed in terms of four components to capture the development of and interactions between coherent structures in turbulent flows. It is then possible to isolate the terms linked…

流体动力学 · 物理学 2009-10-13 Trinh Khanh Tuoc

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

We adapt recent ideas for many-body chaos in nonlinear, Hamiltonian fluids [Murugan \textit{et al.}, Phys. Rev. Lett. 127, 124501 (2021)] to revisit the question of the Reynolds number Re dependence of the Lyapunov exponent…

We start by reviewing recent probabilistic results on ergodic sums in a large class of (non-uniformly) hyperbolic dynamical systems. Namely, we describe the central limit theorem, the almost-sure convergence to the gaussian and other stable…

动力系统 · 数学 2012-05-09 J. -R. Chazottes

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

Aims. This series of papers aims at building a new formalism specifically tailored to study the impact of turbulence on the global modes of oscillation in solar-like stars. This first paper aims at deriving a linear wave equation that…

太阳与恒星天体物理 · 物理学 2021-12-08 J. Philidet , K. Belkacem , M. -J. Goupil

We systematise the study of dynamic multiscaling of time-dependent structure functions in different models of passive-scalar and fluid turbulence. We show that, by suitably normalising these structure functions, we can eliminate their…

混沌动力学 · 物理学 2007-10-31 Samriddhi Sankar Ray , Dhrubaditya Mitra , Rahul Pandit

The existence of drag reduction by polymer additives, well established for wall-bounded turbulent flows, is controversial in homogeneous, isotropic turbulence. To settle this controversy we carry out a high-resolution direct numerical…

混沌动力学 · 物理学 2013-05-29 Prasad Perlekar , Dhrubaditya Mitra , Rahul Pandit

The statistics of the velocity gradient tensor in turbulent flows are of both theoretical and practical importance. The Lagrangian view provides a privileged perspective for studying the dynamics of turbulence in general, and of the…

流体动力学 · 物理学 2016-09-21 Perry L. Johnson , Charles Meneveau

The turnaround epoch of gravitational collapse is examined by means of relativistic Lagrangian perturbation theory. Averaged, scalar equations applied to the fluid's evolution reveal some scale-independent universality of parameters for a…

广义相对论与量子宇宙学 · 物理学 2020-01-01 Jan J. Ostrowski

We study the physics of droplet breakup in a statistically stationary homogeneous and isotropic turbulent flow by means of high resolution numerical investigations based on the multicomponent lattice Boltzmann method. We verified the…

流体动力学 · 物理学 2015-06-03 Prasad Perlekar , Luca Biferale , Mauro Sbragaglia , Sudhir Srivastava , Federico Toschi

Relative dispersion in fully developed turbulence is investigated by means of direct numerical simulations. Lagrangian statistics is found to be compatible with Richardson description although small systematic deviations are found. The…

混沌动力学 · 物理学 2009-11-07 G. Boffetta , I. M. Sokolov

Turbulence problem is often considered as "the last unsolved problem of classical physics". It is due to strong interaction between velocity and/or velocity gradient fluctuations, a high Reynolds number flow is a fascinating mixture of…

流体动力学 · 物理学 2017-08-25 Victor Yakhot , Diego A. Donzis

A technique for measuring the mean impulse response function of stationary homogeneous isotropic turbulence is proposed. Such measurement is carried out here on the basis of Direct Numerical Simulation (DNS). A zero-mean white-noise volume…

流体动力学 · 物理学 2015-05-20 Marco Carini , Maurizio Quadrio

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

This survey explores the foundational theory and recent developments in the study of hyperuniformity. We present a comprehensive mathematical framework in the context of weakly stationary random measures, emphasizing spectral…

概率论 · 数学 2025-10-22 Raphaël Lachièze-Rey

Using fluctuating hydrodynamics we investigate the effect of thermal fluctuations in the dissipation range of homogeneous, isotropic turbulence. Simulations confirm theoretical predictions that the energy spectrum is dominated by these…

流体动力学 · 物理学 2022-04-27 John B. Bell , Andrew Nonaka , Alejandro L. Garcia , Gregory Eyink

We investigate statistical properties of vorticity fluctuations in fully developed turbulence, which are known to exhibit a strong intermittent behavior. Taking as the starting point the Navier-Stokes equations with a random force term…

统计力学 · 物理学 2009-11-10 L. Moriconi

A dynamical model is proposed for isotropic turbulence driven by steady forcing that yields a viscosity independent dynamics for the small-scale (inertial) regime. This reproduces the Kolmogorov spectrum for the two-point velocity…

统计力学 · 物理学 2011-07-04 Mohammad Mehrafarin