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The anomalous scaling exponents $\zeta_{n}$ of the longitudinal structure functions $S_{n}$ for homogeneous isotropic turbulence are derived from the Navier-Stokes equations by using field theoretic methods to develop a low energy…

Fluid Dynamics · Physics 2009-11-06 M. J. Giles

We consider the intermittent behavior of superfluid turbulence in $^4$He. Due to the similarity in the nonlinear structure of the two-fluid model of superfluidity and the Euler and Navier-Stokes equations one expects the scaling exponents…

Statistical Mechanics · Physics 2015-06-05 Laurent Boué , Victor L'vov , Anna Pomyalov , Itamar Procaccia

In the context of incompressible fluids, the observation that turbulent singular structures fail to be space filling is known as ``intermittency'' and it has strong experimental foundations. Consequently, as first pointed out by Landau,…

Analysis of PDEs · Mathematics 2023-12-19 Luigi De Rosa , Philip Isett

Scaling and structural evolutions are contemplated in a new perspective for turbulent channel flows. The total integrated turbulence kinetic energy remains constant when normalized by the friction velocity squared, while the total…

Fluid Dynamics · Physics 2021-05-19 T. -W. Lee

The spatial scaling law and intermittency of the $V_2 O_5$ surface roughness by atomic force microscopy has been investigated. The intermittency of the height fluctuations has been checked by two different methods, first, by measuring…

Statistical Mechanics · Physics 2015-06-24 A. Iraji zad , G. Kavei , M. Reza Rahimi Tabar , S. M. Vaez Allaei

Universal properties of turbulence have been associated traditionally with very high Reynolds numbers, but recent work has shown that the onset of the power-laws in derivative statistics occurs at modest microscale Reynolds numbers of the…

Fluid Dynamics · Physics 2023-04-26 Sualeh Khurshid , Diego Donzis , Katepalli R. Sreenivasan

We show from numerical simulations that a limited mobility solid-on-solid model of kinetically rough surface growth exhibits extended self-similarity analogous to that found in fluid turbulence. The range over which scale-independent…

Statistical Mechanics · Physics 2009-10-30 Arindam Kundagrami , Chandan Dasgupta , P. Punyindu , S. Das Sarma

Upon decreasing the Reynolds number, plane Couette flow first forms alternately turbulent and laminar oblique bands out of featureless turbulence below some upper threshold R_t. These bands exist down to a global stability threshold R_g…

Fluid Dynamics · Physics 2011-09-06 Paul Manneville

High-resolution numerical simulations are utilized to examine isotropic turbulence in a compressible fluid when long wavelength velocity fluctuations approach light speed. Spectral analysis reveals an inertial sub-range of relativistic…

High Energy Astrophysical Phenomena · Physics 2013-01-04 Jonathan Zrake , Andrew MacFadyen

We investigate two-point velocity-gradient correlation functions in homogeneous isotropic turbulence using exact relations and direct numerical simulations. The second-order gradient correlation is shown to be exactly related to the…

Fluid Dynamics · Physics 2026-05-20 Anwesha Dey , Ritwik Mukherjee , Aikya Banerjee , Samriddhi Sankar Ray

We present first elements of an extension of Yakhot's model of strong turbulence towards small scales. The analysis is based on an empirically observed relation for even order structure functions which extends from the inertial into the…

Fluid Dynamics · Physics 2026-04-20 Christoph Renner

We consider a rather general class of evolutionary PDEs involving dissipation (of possibly fractional order), which competes with quadratic nonlinearities on the regularity of the overall equation. This includes as prototype models,…

Analysis of PDEs · Mathematics 2015-06-16 Animikh Biswas , Eitan Tadmor

Tertiary modes in electrostatic drift-wave turbulence are localized near extrema of the zonal velocity $U(x)$ with respect to the radial coordinate $x$. We argue that these modes can be described as quantum harmonic oscillators with complex…

Plasma Physics · Physics 2020-02-05 Hongxuan Zhu , Yao Zhou , I. Y. Dodin

Intermittency of energy dissipation has long been studied via high-order moments in homogeneous and isotropic turbulence, but not much where the boundary effects are explicitly included. Here, we derive two fundamental Reynolds number…

Fluid Dynamics · Physics 2025-12-11 Peng-Yu Duan , Xi Chen , Katepalli R. Sreenivasan

The coarsening exponents describing the growth of long-range order in systems quenched from a disordered to an ordered phase are discussed in terms of the decay rate, omega(k), for the relaxation of a distortion of wavevector k applied to a…

Statistical Mechanics · Physics 2009-10-31 A. J. Bray

On the basis of the Navier-Stokes equations we develop the statistical theory of many space-time correlation functions of velocity differences. Their time dependence is {\em not} scale invariant: $n$-order correlations functions exhibit…

chao-dyn · Physics 2016-08-31 Victor S. L'vov , Evgenii Podivilov , Itamar Procaccia

The effects of mechanical generation of turbulent kinetic energy and buoyancy forces on the statistics of air temperature and velocity increments are experimentally investigated at the cross over from production to inertial range scales.…

Fluid Dynamics · Physics 2018-09-19 E. Zorzetto , A. D. Bragg , G. Katul

The behavior of the second-order Lagrangian structure functions on state-of-the-art numerical data both in two and three dimensions is studied. On the basis of a phenomenological connection between Eulerian space-fluctuations and the…

Fluid Dynamics · Physics 2014-03-13 Alessandra S. Lanotte , Luca Biferale , Guido Boffetta , Federico Toschi

This manuscript is a draft of work in progress, meant for network distribution only. It will be updated to a formal preprint when the numerical calculations will be accomplished. In this draft we develop a consistent closure procedure for…

chao-dyn · Physics 2016-08-31 Victor I. Belinicher , Victor S. L'vov , Itamar Procaccia

Decaying turbulence is studied numerically using as initial condition a random flow whose shell-integrated energy spectrum increases with wavenumber k like k^q. Alternatively, initial conditions are generated from a driven turbulence…

Astrophysics · Physics 2007-05-23 Tarek A. Yousef , Nils Erland L. Haugen , Axel Brandenburg
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