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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

High resolution numerical simulations of stationary inverse energy cascade in two-dimensional turbulence are presented. Deviations from Gaussianity of velocity differences statistics are quantitatively investigated. The level of statistical…

chao-dyn · 物理学 2009-10-31 G. Boffetta , A. Celani , M. Vergassola

For the steady-state direct cascade of two-dimensional Navier-Stokes turbulence, we derive analytically the probability of strong vorticity fluctuations. The probability density function (pdf) of the vorticity coarse-grained over a scale in…

混沌动力学 · 物理学 2015-05-20 Gregory Falkovich , Vladimir Lebedev , Mikhail Stepanov

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

We discuss two possible scenario for the direct cascade in two dimensional turbulent systems in presence of friction which differ by the presence or not of enstrophy dissipation in the inviscid limit.They are distinguished by the existence…

chao-dyn · 物理学 2023-04-10 Denis Bernard

The statistics of power fluctuations are studied in simulations of two-dimensional turbulence in both inverse (energy) and direct (enstrophy) cascade regimes from both Lagrangian and Eulerian perspectives. The probability density function…

统计力学 · 物理学 2008-03-01 M. M. Bandi , C. Connaughton

The statistical mechanical description of two-dimensional inviscid fluid turbulence is reconsidered. Using this description, we make predictions about turbulent flow in a rapidly rotating laboratory annulus. Measurements on the continuously…

软凝聚态物质 · 物理学 2009-11-11 Sunghwan Jung , P. J. Morrison , Harry L. Swinney

The probability density function (PDF) of velocity fluctuations is studied experimentally for grid turbulence in a systematical manner. At small distances from the grid, where the turbulence is still developing, the PDF is sub-Gaussian. At…

流体动力学 · 物理学 2009-11-07 H. Mouri , M. Takaoka , A. Hori , Y. Kawashima

The probability distribution functions of the circulation of velocity in three-dimensional decaying isotropic turbulence are examined by the database of the numerical simulation based on the pseudospectral method. It is shown that the…

高能物理 - 理论 · 物理学 2009-10-22 Makoto Umeki

We inquire about the properties of 2d Navier-Stokes turbulence simultaneously forced at small and large scales. The background motivation comes by observational results on atmospheric turbulence. We show that the velocity field is amenable…

流体动力学 · 物理学 2011-10-27 Massimo Cencini , Paolo Muratore-Ginanneschi , Angelo Vulpiani

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

A model to explain the statistics of the velocity gradients in the dissipation range of a turbulent flow is presented. The experimentally observed non-gaussian statistics is theoretically predicted by means of a thermodynamical analogy…

统计力学 · 物理学 2007-05-23 Jacopo Bellazzini

The velocity fluctuations for point vortex models are studied for the {\alpha}-turbulence equations, which are characterized by a fractional Laplacian relation between active scalar and the streamfunction. In particular, we focus on the…

流体动力学 · 物理学 2019-09-11 Giovanni Conti , Gualtiero Badin

We consider the enstrophy cascade in forced two-dimensional turbulence with a linear drag force. In the presence of linear drag, the energy wavenumber spectrum drops with a power law faster than in the case without drag, and the vorticity…

软凝聚态物质 · 物理学 2009-11-11 Yue-Kin Tsang , Edward Ott , Thomas M. Antonsen , Parvez N. Guzdar

We present a numerical study of two-dimensional turbulent flows in the enstrophy cascade regime, with different large-scale forcings and energy sinks. In particular, we study the statistics of more-than-differentiable velocity fluctuations…

混沌动力学 · 物理学 2009-11-07 L. Biferale , M. Cencini , A. Lanotte , D. Vergni

Generalised two-dimensional (2D) fluid dynamics is characterised by a relationship between a scalar field $q$, called generalised vorticity, and the stream function $\psi$, namely $q = (-\nabla^2)^\frac{\alpha}{2} \psi$. We study the…

流体动力学 · 物理学 2025-04-16 Vibhuti Bhushan Jha , Kannabiran Seshasayanan , Vassilios Dallas

The randomly driven Navier-Stokes equation without pressure in d-dimensional space is considered as a model of strong turbulence in a compressible fluid. We derive a closed equation for the velocity-gradient probability density function. We…

高能物理 - 理论 · 物理学 2009-10-31 S. Boldyrev

We present a detailed direct numerical simulation of statistically steady, homogeneous, isotropic, two-dimensional magnetohydrodynamic (2D MHD) turbulence. Our study concentrates on the inverse cascade of the magnetic vector potential. We…

混沌动力学 · 物理学 2014-07-24 Debarghya Banerjee , Rahul Pandit

We analyze data from direct numerical simulations of homogeneous and isotropic turbulence (at Re_\lambda \approx 280) and study the statistics of curvature and torsion of Lagrangian trajectories in order to extract informations on the…

混沌动力学 · 物理学 2009-09-11 Andrea Scagliarini

Equal-time scaling exponents in fully developed turbulence typically exhibit non anomalous scaling in the inverse cascade of two-dimensional (2D) turbulence and anomalous scaling in three dimensions. We demonstrate that multiscaling is not…

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