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We formulate equations for the slow time dynamics of fluid motion that self consistently account for the effects of the variability upon the mean. The time-average effects of the fluctuations introduce nonlinear dispersion that acts to…

chao-dyn · Physics 2009-10-31 Darryl D. Holm

The autocorrelation functions for the force on a particle, the velocity of a particle, and the transverse momentum flux are studied for the power law potential $v(r)=\epsilon (\sigma /r)^{\nu}$ (soft spheres). The latter two correlation…

Statistical Mechanics · Physics 2009-11-10 James W. Dufty , Matthieu H. Ernst

We analyse the results of direct numerical simulations of rotating convection in spherical shell geometries with stress-free boundary conditions, which develop strong zonal flows. Both the Ekman number and the Rayleigh number are varied. We…

Fluid Dynamics · Physics 2023-08-11 Justin A. Nicoski , Anne R. O'Connor , Michael A. Calkins

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…

Fluid Dynamics · Physics 2022-07-12 Dhawal Buaria , Katepalli R. Sreenivasan

Our statistical studies comprise the mean relative velocity and velocity correlation for pairs of galaxies as a function of separation, and a bulk flow analysis determined on spheres of $10 h^{-1}$ $Mpc$ radius. In order to test the…

Astrophysics · Physics 2009-10-30 Nelson Padilla , Manuel Merchán , Diego G. Lambas

The decay of Burgers turbulence with compactly supported Gaussian "white noise" initial conditions is studied in the limit of vanishing viscosity and large time. Probability distribution functions and moments for both velocities and…

chao-dyn · Physics 2014-03-12 Roger Tribe , Oleg Zaboronski

The results of direct numerical simulation of plane-symmetric turbulence of water waves for potential flows within the framework of conformal variables taking into account low-frequency pumping and high-frequency viscous dissipation are…

Fluid Dynamics · Physics 2025-08-04 E. A. Kochurin , E. A. Kuznetsov

We perform a statistical analysis of experimental fully developed turbulence longitudinal velocity data in the Fourier space. We address the controversial issue of statistical intermittency of spatial Fourier modes by acting on the finite…

Statistical Mechanics · Physics 2007-05-23 L. Chevillard , N. Mazellier , C. Poulain , Y. Gagne , C. Baudet

The purpose of this article is numerical verification of the theory of weak turbulence. We performed numerical simulation of an ensemble of nonlinearly interacting free gravity waves (swell) by two different methods: solution of primordial…

Fluid Dynamics · Physics 2011-01-04 A. O. Korotkevich , A. Pushkarev , D. Resio , V. E. Zakharov

Taylors hypothesis is the backbone to convert observations done over time to spatial information of the flow while carrying out turbulence measurements on a micrometeorological tower. To address its validity over a highly heterogeneous…

Atmospheric and Oceanic Physics · Physics 2025-11-19 Subharthi Chowdhuri , Ivan Mammarella , Olli Peltola

The combined impact of axial stretching and cross-stream diffusion on the downstream transport of solute is termed Taylor dispersion. The dispersion of active suspensions is qualitatively distinct: viscous and external torques can establish…

Soft Condensed Matter · Physics 2025-05-27 Hakan Osman Caldag , Martin Alan Bees

We report results of direct measurements of velocity profiles in a microchannel with hydrophobic and hydrophilic walls, using a new high precision method of double-focus spacial fluorescence cross-correlation under a confocal microscope. In…

Soft Condensed Matter · Physics 2009-11-13 Olga I. Vinogradova , Kaloian Koynov , Andreas Best , François Feuillebois

In homogeneous and isotropic turbulence, measurements of the longitudinal velocity derivative, $\partial_1 u_1$, make it possible to estimate a surrogate of the rate of energy dissipation per unit mass, $\epsilon$: $\epsilon_s = 15 \nu…

Fluid Dynamics · Physics 2026-01-26 Ping-Fan Yang , Haitao Xu , Alain Pumir

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…

High Energy Physics - Theory · Physics 2009-10-22 Makoto Umeki

Another way to evaluate the spectral-correlation properties of thermal fields of solids is suggested. Such a method takes into account detailed structure of the interface transition layer separating one bulk region from those of the vacuum…

Quantum Physics · Physics 2015-06-15 Illarion Dorofeyev

We investigate hydrodynamic fluctuations in a 2D granular fluid excited by a vibrating base and in the presence of gravity, focusing on the transverse velocity modes. Since the system is inhomogeneous, we measure fluctuations in horizontal…

Soft Condensed Matter · Physics 2015-05-28 Giulio Costantini , Andrea Puglisi

Turbulence is a dominant feature operating in gaseous flows across nearly all scales in astrophysical environments. Accordingly, accurately estimating the statistical properties of such flows is necessary for developing a comprehensive…

Solar and Stellar Astrophysics · Physics 2014-11-27 Lukas Konstandin , Rahul Shetty , Philipp Girichidis , Ralf S. Klessen

We report on the observation of freely decaying capillary wave turbulence on the surface of a fluid. The capillary wave turbulence spectrum decay is found to be self-similar in time with the same power law exponent than the one found in the…

Fluid Dynamics · Physics 2012-07-18 Luc Deike , Michaël Berhanu , Eric Falcon

This paper is devoted to a statistical analysis of the fluctuations of velocity and acceleration produced by a random distribution of point vortices in two-dimensional turbulence. We show that the velocity probability density function…

Statistical Mechanics · Physics 2009-10-31 Pierre-Henri Chavanis , Clément Sire

We study the asymptotic behavior and the asymptotic stability of the two-dimensional Euler equations and of the two-dimensional linearized Euler equations close to parallel flows. We focus on spectrally stable jet profiles $U(y)$ with…

Statistical Mechanics · Physics 2015-05-13 Freddy Bouchet , Hidetoshi Morita