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A new statistical field-theory model of isotropic turbulence is introduced. The model renormalizes the effects of turbulent stresses into a velocity-gradient-dependent random force. The model is well-defined within the context of the…

统计力学 · 物理学 2009-11-07 Jeong-Man Park , Michael W. Deem

We review the Parisi-Frisch MultiFractal formalism for Navier--Stokes turbulence with particular emphasis on the issue of statistical fluctuations of the dissipative scale. We do it for both Eulerian and Lagrangian Turbulence. We also show…

混沌动力学 · 物理学 2015-05-13 R. Benzi , L. Biferale

In this perspective, we consider the development of statistical hydrodynamics, focusing on the way in which the intrinsic stochasticity of turbulent phenomena was identified and is being explored. A major purpose of our discussion is to…

流体动力学 · 物理学 2026-01-01 Gregory L. Eyink , Nigel Goldenfeld

We present a new design for a stirred tank that is forced by two parallel planar arrays of randomly actuated synthetic jets. This arrangement creates turbulence at high Reynolds number with low mean flow. Most importantly, it exhibits a…

流体动力学 · 物理学 2015-06-17 Gabriele Bellani , Evan A. Variano

ONE of the main goals in the development of theory of chaotic dynamical system has been to make progress in understanding of turbulence. The attempts to related turbulence to chaotic motion got strong impetus from the celebrated paper by…

流体动力学 · 物理学 2010-07-16 Zheng Ran

We present high-resolution direct numerical simulations of turbulent three-dimensional Rayleigh-Benard convection with a focus on the Lagrangian properties of the flow. The volume is a Cartesian slab with an aspect ratio of four bounded by…

流体动力学 · 物理学 2009-05-05 Joerg Schumacher

Breakup of small solid aggregates in homogeneous and isotropic turbulence is studied theoretically and by using Direct Numerical Simulations at high Reynolds number, Re_{\lambda} \simeq 400. We show that turbulent fluctuations of the…

流体动力学 · 物理学 2015-06-03 Matthaus U. Babler , Luca Biferale , Alessandra S. Lanotte

This article establishes a first-principles statistical field theory of fully developed isotropic turbulence. Applying an exact Helmholtz decomposition to the local angular momentum field ($\Lvec = \rvec \times \uvec$) reveals a segregation…

流体动力学 · 物理学 2026-04-22 Ahmed Farooq

Turbulence is a complex system exhibiting both universal statistical features and prominent coherent structures. We model turbulence using coherent vortices distributed within a multi-scale statistical framework, termed `woven turbulence'.…

流体动力学 · 物理学 2025-12-04 Zishuo Han , Weiyu Shen , Yue Yang

This two-part review summarizes interstellar turbulence and its implications. The first part begins with diagnostics and energy sources. Turbulence theory is considered in detail, including the basic fluid equations, solenoidal and…

天体物理学 · 物理学 2008-11-26 Bruce G. Elmegreen , John Scalo

MHD Turbulence is a critical component of the current paradigms of star formation, particle transport, magnetic reconnection and evolution of the ISM. Progress on this difficult subject is made via numerical simulations and observational…

星系天体物理 · 物理学 2011-05-06 Blakesley Burkhart , Alex Lazarian

A stochastic EDQNM approach is used to investigate self-similar decaying isotropic turbulence at high Reynolds number ($400 \leq Re_\lambda \leq 10^4$). The realistic energy spectrum functional form recently proposed by Meyers & Meneveau is…

流体动力学 · 物理学 2013-09-25 Marcello Meldi , Pierre Sagaut , Didier Lucor

Local isotropy, or the statistical isotropy of small scales, is one of the basic assumptions underlying Kolmogorov's theory of universality of small-scale turbulent motion. While, until the mid-seventies or so, local isotropy was accepted…

混沌动力学 · 物理学 2007-05-23 Susan Kurien , Katepalli Sreenivasan

Turbulence governed by the Navier-Stokes equations shows a tendency to evolve towards a state in which the nonlinearity is diminished. In fully developed turbulence this tendency can be measured by comparing the variance of the nonlinear…

流体动力学 · 物理学 2014-01-16 Wouter Bos , Robert Rubinstein

In a series of recent works it was proposed that shell models of turbulence exhibit inertial range scaling exponents that depend on the nature of the dissipative mechanism. If true, and if one could imply a similar phenomenon to…

chao-dyn · 物理学 2009-10-31 Victor S. L'vov , Itamar Procaccia , Damien Vandembroucq

We investigate the single-point probability density function of the velocity in three-dimensional stationary and decaying homogeneous isotropic turbulence. To this end we apply the statistical framework of the Lundgren-Monin-Novikov…

流体动力学 · 物理学 2011-07-04 Michael Wilczek , Anton Daitche , Rudolf Friedrich

The statistical geometry of dispersing Lagrangian clusters of four particles (tetrahedra) is studied by means of high-resolution direct numerical simulations of three-dimensional homogeneous isotropic turbulence. We give the first evidence…

混沌动力学 · 物理学 2016-09-08 L. Biferale , G. Boffetta , A. Celani , B. Devenish , A. Lanotte , F. Toschi

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

软凝聚态物质 · 物理学 2017-10-25 Nicolas Mordant , Benjamin Miquel

We present a numerical investigation of two-dimensional decaying turbulence in the Lagrangian framework. Focusing on single particle statistics, we investigate Lagrangian trajectories in a freely evolving turbulent velocity field. The…

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

The decay of homogeneous isotropic turbulence in a variable viscosity fluid with a viscosity ratio up to 15 is analyzed by means of highly resolved direct numerical simulations (DNS) at low Reynolds numbers. The question addressed by the…

流体动力学 · 物理学 2018-09-21 Michael Gauding , Luminita Danaila , Emilien Varea