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Two common definitions of the spatially local rate of kinetic energy cascade at some scale $\ell$ in turbulent flows are (i) the cubic velocity difference term appearing in the generalized Kolmogorov-Hill equation (GKHE) (structure function…

流体动力学 · 物理学 2024-04-22 H. Yao , M. Schnaubelt , A. Szalay , T. Zaki , C. Meneveau

We study fluctuations of the local energy cascade rate $\Phi_\ell$ in turbulent flows at scales ($\ell$) in the inertial range. According to the Kolmogorov refined similarity hypothesis (KRSH), relevant statistical properties of $\Phi_\ell$…

流体动力学 · 物理学 2024-04-29 H. Yao , P. K. Yeung , T. A. Zaki , C. Meneveau

We use large-scale three-dimensional simulations of supersonic Euler turbulence to study the physics of a highly compressible cascade. Our numerical experiments describe non-magnetized driven turbulent flows with an isothermal equation of…

天体物理学 · 物理学 2009-06-23 Alexei G. Kritsuk , Paolo Padoan , Rick Wagner , Michael L. Norman

This paper analyses the turbulent energy cascade from the perspective of statistical mechanics, and relates inter-scale energy fluxes to statistical irreversibility and information-entropy production. The microscopical reversibility of the…

流体动力学 · 物理学 2021-04-07 Alberto Vela-Martin , Javier Jimenez

In this paper, the scaling property of the inverse energy cascade and forward enstrophy cascade of the vorticity filed $\omega(x,y)$ in two-dimensional (2D) turbulence is analyzed. This is accomplished by applying a Hilbert-based technique,…

流体动力学 · 物理学 2014-01-20 H. S. Tan , Y. X. Huang , Jianping Meng

We investigate the statistics of turbulence in emulsions of two-immiscible fluids of same density. We compute for the first time velocity increments between points conditioned to be located in the same phase or in different phases and…

流体动力学 · 物理学 2023-01-05 Marco Crialesi-Esposito , Guido Boffetta , Luca Brandt , Sergio Chibbaro , Stefano Musacchio

Aims: We aim to characterise the multiscale statistical properties of the reconstructed velocity and density fields of the nearby universe, identify possible scaling regimes, quantify intermittency, and assess indications for the transition…

宇宙学与河外天体物理 · 物理学 2026-03-10 Yves Grosdidier , Hélène M. Courtois

This article investigates the intrinsic link between skewness and statistical intermittency in velocity and temperature increments within homogeneous isotropic turbulence. The theoretical framework builds upon the author's previously…

流体动力学 · 物理学 2026-04-29 Nicola de Divitiis

We performed high resolution numerical simulations of homogenous and isotropic compressible turbulence, with an average 3D Mach number close to 0.3. We study the statistical properties of intermittency for velocity, density and entropy. For…

混沌动力学 · 物理学 2009-11-13 Roberto Benzi , Luca Biferale , Robert Fisher , Leo Kadanoff , Donald Lamb , Federico Toschi

We study the intermittency properties of the energy and helicity cascades in two 1536^3 direct numerical simulations of helical rotating turbulence. Symmetric and anti-symmetric velocity increments are examined, as well as probability…

流体动力学 · 物理学 2015-05-14 P. D. Mininni , A. Pouquet

A Hamiltonian two-field gyrofluid model for kinetic Alfv\'en waves (KAWs) in a magnetized electron-proton plasma, retaining ion finite-Larmor-radius corrections and parallel magnetic field fluctuations, is used to study the inverse cascades…

等离子体物理 · 物理学 2021-04-01 George Miloshevich , Dimitri Laveder , Thierry Passot , Pierre-Louis Sulem

Small-scale intermittency is studied as the deviation of the probability distributions of pseudodissipation, dissipation and enstrophy in turbulence from those of a Gaussian random velocity field. This deviation is quantified using…

流体动力学 · 物理学 2026-05-26 Shreyashri Sarkar , Rishita Das

We analyze the relationship of longitudinal and transverse increment statistics measured in isotropic small-scale turbulence. This is done by means of the theory of Markov processes leading to a phenomenological Fokker-Planck equation for…

流体动力学 · 物理学 2007-05-23 M. Siefert , J. Peinke

In this paper, we investigated the statistical differences between active and passive scalars in isotropic compressible turbulence. In the inertial range, the kinetic energy and scalar have the Kolmogorov spectra, and the Kolmogorov and…

流体动力学 · 物理学 2015-05-12 Qionglin Ni , Yipeng Shi , Shiyi Chen

We present a statistical, observational study of the $1/f$ range of solar wind turbulence, where $f$ denotes frequency, using in situ data from the Parker Solar Probe (PSP). We compute the energy cascade rate using the third order law of…

太阳与恒星天体物理 · 物理学 2025-06-06 Maia Brodiano , Fouad Sahraoui , Davide Manzini , Lina Z. Hadid , Facundo Pugliese , Pablo Dmitruk , Nahuel Andrés

Based on a generalized local Kolmogorov-Hill equation expressing the evolution of kinetic energy integrated over spheres of size $\ell$ in the inertial range of fluid turbulence, we examine a possible definition of entropy and entropy…

流体动力学 · 物理学 2024-04-22 H. Yao , T. A. Zaki , C. Meneveau

Shell models provide a simplified mathematical framework that captures essential features of incompressible fluid turbulence, such as the energy cascade and scaling of the fluid observables. We perform a precision analysis of the direct and…

流体动力学 · 物理学 2024-09-19 James Creswell , Viatcheslav Mukhanov , Yaron Oz

An efficient approach for extracting 3D local averages in spherical subdomains is proposed and applied to study the intermittency of small-scale velocity and scalar fields in direct numerical simulations of isotropic turbulence. We focus on…

流体动力学 · 物理学 2022-07-12 Dhawal Buaria , Katepalli R. Sreenivasan

The predictability problem in the inverse energy cascade of two-dimensional turbulence is addressed by means of high resolution direct numerical simulations. The analysis is done in terms of the finite size Lyapunov exponent (FSLE) which is…

混沌动力学 · 物理学 2007-05-23 G. Boffetta , S. Musacchio

We present a phenomenological model of imbalanced MHD turbulence in an incompressible magnetofluid. The steady-state cascades, of waves traveling in opposite directions along the mean magnetic field, carry unequal energy fluxes to small…

天体物理学 · 物理学 2008-11-26 Yoram Lithwick , Peter Goldreich , S. Sridhar
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