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The probability density function of single-point velocity fluctuations in turbulence is studied systematically using Fourier coefficients in the energy-containing range. In ideal turbulence where energy-containing motions are random and…

流体动力学 · 物理学 2009-11-10 H. Mouri , M. Takaoka , A. Hori , Y. Kawashima

We study local power fluctuations in numerical simulations of stationary, homogeneous, isotropic turbulence in two and three dimensions with Gaussian forcing. Due to the near-Gaussianity of the one-point velocity distribution, the…

统计力学 · 物理学 2009-11-13 M. M. Bandi , Sergei G. Chumakov , Colm Connaughton

We investigate the single-point velocity probability density function (PDF) in three-dimensional fully developed homogeneous isotropic turbulence within the framework of PDF equations focussing on deviations from Gaussianity. A joint…

流体动力学 · 物理学 2011-02-18 Michael Wilczek , Anton Daitche , Rudolf Friedrich

The probability density functions (PDFs) for energy dissipation rates, created from time-series data of grid turbulence in a wind tunnel, are analyzed in a high precision by the theoretical formulae for PDFs within multifractal PDF theory…

流体动力学 · 物理学 2015-06-03 Toshihico Arimitsu , Naoko Arimitsu , Hideaki Mouri

An analytical formula for the probability density function (PDF) of the velocity fluctuation in fully-developed turbulence is derived, non-perturbatively, by assuming that its underlying statistics is the one based on the generalized…

统计力学 · 物理学 2015-06-24 Toshihico Arimitsu , Naoko Arimitsu

Intermittency in fluid turbulence can be evidentiated through the analysis of Probability Distribution Functions (PDF) of velocity fluctuations, which display a strong non-gaussian behavior at small scales. In this paper we investigate the…

混沌动力学 · 物理学 2007-05-23 V. Carbone , P. Giuliani , L. Sorriso-Valvo , P. Veltri , R. Bruno , E. Martines , V. Antoni

Atmospheric wind speeds and their fluctuations at different locations (onshore and offshore) are examined. One of the most striking features is the marked intermittency of probability density functions (PDF) of velocity differences -- no…

适应与自组织系统 · 物理学 2007-05-23 F. Böttcher , St. Barth , J. Peinke

Intermittency in MHD turbulence has been analyzed using high resolution 2D numerical simulations. We show that the Probability Distribution Functions (PDFs) of the fluctuations of the Elsasser fields, magnetic field and velocity field…

混沌动力学 · 物理学 2015-06-26 L. Sorriso-Valvo , V. Carbone , P. Veltri , H. Politano , A. Pouquet

According to modern developments in turbulence theory, the "dissipation" scales (u.v. cut-offs) $\eta$ form a random field related to velocity increments $\delta_{\eta}u$. In this work we, using Mellin's transform combined with the Gaussain…

流体动力学 · 物理学 2009-11-11 Victor Yakhot

Intermittency in fluid turbulence can be emphasized through the analysis of Probability Distribution Functions (PDF) for velocity fluctuations, which display a strong non-gaussian behavior at small scales. Castaing et al. (1990) have…

等离子体物理 · 物理学 2015-06-26 Luca Sorriso-Valvo , Vincenzo Carbone , Pierluigi Veltri , Giuseppe Consolini , Roberto Bruno

We report that the power driving gravity and capillary wave turbulence in a statistically stationary regime displays fluctuations much stronger than its mean value. We show that its probability density function (PDF) has a most probable…

流体动力学 · 物理学 2009-11-13 Eric Falcon , Sebastien Aumaitre , Claudio Falcon , Claude Laroche , Stephan Fauve

Motivated by its important role in the collisional growth of dust particles in protoplanetary disks, we investigate the probability distribution function (PDF) of the relative velocity of inertial particles suspended in turbulent flows.…

地球与行星天体物理 · 物理学 2015-06-22 Liubin Pan , Paolo Padoan , John Scalo

The vorticity random field of turbulent flow is singled out as the main dynamical variable for the description of turbulence, and the evolution equation of the probability density function (PDF) of the vorticity field has been obtained.…

流体动力学 · 物理学 2022-02-23 Jiawei Li , Zhongmin Qian , Mingrui Zhou

We study the one-point probability distribution functions (PDFs) of the peculiar velocity and the density fluctuation in a cosmological fluid. Within the perturbative approach to the structure formation scenario, the effect of ``pressure''…

天体物理学 · 物理学 2009-11-11 Takayuki Tatekawa

The formula for probability density functions (PDFs) has been extended to include PDF for energy dissipation rates in addition to other PDFs such as for velocity fluctuations, velocity derivatives, fluid particle accelerations, energy…

统计力学 · 物理学 2009-11-11 T. Arimitsu , N. Arimitsu

We study density fluctuations in supersonic turbulence using both theoretical methods and numerical simulations. A theoretical formulation is developed for the probability distribution function (PDF) of the density at steady state,…

星系天体物理 · 物理学 2019-09-04 Liubin Pan , Paolo Padoan , Åke Nordlund

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

We unify two approaches that have been taken to explain the non-Gaussian probability distribution functions (PDFs) obtained in measurements of longitudinal velocity differences in turbulence, and we apply our approach to Couette-Taylor…

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

We derive a multifractal model for the velocity probability density distribution function (PDF), which is valid from the inertial range to the viscous range. The model gives a continuous evolution of velocity PDFs from large to small…

chao-dyn · 物理学 2008-02-03 Jens Eggers , Z. Jane Wang

The phenomenology of velocity statistics in turbulent flows, up to now, relates to different models dealing with either signed or unsigned longitudinal velocity increments, with either inertial or dissipative fluctuations. In this paper, we…

统计力学 · 物理学 2007-05-23 L. Chevillard , B. Castaing , E. Leveque , A. Arneodo
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