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We examine fluctuations of vorticity inside the coherent vortex, appearing as a consequence of the inverse energy cascade in two-dimensional turbulence. Temporal and spacial correlations can be characterized by the pair correlation…

Fluid Dynamics · Physics 2024-03-07 Igor V. Kolokolov , Vladimir V. Lebedev , Mariya M. Tumakova

In fully developed homogeneous and isotropic turbulence, the Lagrangian and Eulerian descriptions of motion, although formally equivalent, become statistically decoupled. In this work, by invoking Liouville theorem, we show that the joint…

Fluid Dynamics · Physics 2026-03-31 Nicola de Divitiis

An extension of Proper Orthogonal Decomposition is applied to the wall layer of a turbulent channel flow (Re {\tau} = 590), so that empirical eigenfunctions are defined in both space and time. Due to the statistical symmetries of the flow,…

It is shown that correlation function of the mean wind velocity generated by a turbulent thermal convection (Rayleigh number $Ra \sim 10^{11}$) exhibits exponential decay with a very long correlation time, while corresponding largest…

Chaotic Dynamics · Physics 2010-12-02 A. Bershadskii

This paper is devoted to the study of two-point correlation function of the energy-momentum tensor T_{12}T_{12} for SU(2)-gluodynamics within lattice simulation of QCD. Using multilevel algorithm we carried out the measurement of the…

High Energy Physics - Lattice · Physics 2018-12-19 N. Yu. Astrakhantsev , V. V. Braguta , A. Yu. Kotov

We find in complementary experiments and event driven simulations of sheared inelastic hard spheres that the velocity autocorrelation function $\psi(t)$ decays much faster than $t^{-3/2}$ obtained for a fluid of elastic spheres at…

Soft Condensed Matter · Physics 2009-11-13 Ashish V. Orpe , V. Kumaran , K. Anki Reddy , Arshad Kudrolli

The mean rate of energy dissipation in turbulence is traditionally assumed to scale with parameters of the energy-containing large scales, i.e., the root-mean-square fluctuation of the longitudinal velocity u and its correlation length…

Fluid Dynamics · Physics 2015-06-04 H. Mouri , A. Hori , Y. Kawashima , K. Hashimoto

We analyze offshore wind speeds with a time resolution of one second over a long period of 20 months for different heights above the sea level. Energy spectra extending over more than seven decades give a comprehensive picture of wind…

Fluid Dynamics · Physics 2023-10-20 So-Kumneth Sim , Joachim Peinke , Philipp Maass

The asymptotic decay of passive scalar fields is solved analytically for the Kraichnan model, where the velocity has a short correlation time. At long times, two universality classes are found, both characterized by a distribution of the…

Chaotic Dynamics · Physics 2009-10-31 M. Chaves , G. Eyink , U. Frisch , M. Vergassola

We study the chaotic properties of a turbulent conducting fluid using direct numerical simulation in the Eulerian frame. The maximal Lyapunov exponent is measured for simulations with varying Reynolds number and magnetic Prandtl number. We…

Fluid Dynamics · Physics 2019-05-22 Richard Ho , Arjun Berera , Daniel Clark

For a freely evolving granular fluid, the buildup of spatial correlations in density and flow field is described using fluctuating hydrodynamics. The theory for incompressible flows is extended to the general, compressible case, including…

Statistical Mechanics · Physics 2009-10-30 T. P. C. van Noije , M. H. Ernst , R. Brito

We investigate bubble deformations in an homogeneous and isotropic turbulent flow by means of direct numerical simulations of a single bubble in turbulence. We examine interface deformations by decomposing the local radius into the…

Fluid Dynamics · Physics 2024-07-24 Aliénor Rivière , Kamel Abahri , Stéphane Perrard

Cross correlations between normal and downstream velocity fluctuations in a turbulent shear flow are shown to carry information about the non-normal amplification process. The creation of spanwise modulated streaks by downstream vortices…

Chaotic Dynamics · Physics 2007-05-23 Bruno Eckhardt , Arne Jachens , Jörg Schumacher

Self-diffusion in a two-dimensional simple fluid is investigated by both analytical and numerical means. We investigate the anomalous aspects of self-diffusion in two-dimensional fluids with regards to the mean square displacement, the…

Soft Condensed Matter · Physics 2018-09-05 Bongsik Choi , Kyeong Hwan Han , Changho Kim , Peter Talkner , Akinori Kidera , Eok Kyun Lee

Taylor diffusion (or dispersion) refers to a phenomenon discovered experimentally by Taylor in the 1950s where a solute dropped into a pipe with a background shear flow experiences diffusion at a rate proportional to $1/\nu$, which is much…

Analysis of PDEs · Mathematics 2019-09-04 Margaret Beck , Osman Chaudhary , C. Eugene Wayne

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…

Chaotic Dynamics · Physics 2009-11-13 Roberto Benzi , Luca Biferale , Robert Fisher , Leo Kadanoff , Donald Lamb , Federico Toschi

Statistical characteristics of freely decaying two-dimensional hydrodynamic turbulence at high Reynolds numbers are numerically studied. In particular, numerical experiments (with resolution up to $8192\times 8192$) provide a Kraichnan-type…

Fluid Dynamics · Physics 2015-06-12 A. N. Kudryavtsev , E. A. Kuznetsov , E. V. Sereshchenko

Identification and extraction of vortical structures and of waves in a disorganised flow is a mayor challenge in the study of turbulence. We present a study of the spatio-temporal behavior of turbulent flows in the presence of different…

Fluid Dynamics · Physics 2015-11-09 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni

The spatio-temporal dynamics of the deformation of a vibrated plate is measured by a high speed Fourier transform profilometry technique. The space-time Fourier spectrum is analyzed. It displays a behavior consistent with the premises of…

Chaotic Dynamics · Physics 2011-07-13 Nicolas Mordant

We investigate spatial and temporal cross-correlations between streamwise and normal velocity components in three shear flows: a low-dimensional model for vortex-streak interactions, direct numerical simulations for a nearly homogeneous…

Chaotic Dynamics · Physics 2009-11-11 A. Jachens , J. Schumacher , B. Eckhardt , K. Knobloch , H. H. Fernholz