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A major challenge in turbulence research is to understand from first principles the origin of anomalous scaling of the velocity fluctuations in high-Reynolds-number turbulent flows. One important idea was proposed by Kolmogorov [J. Fluid…

Chaotic Dynamics · Physics 2008-04-17 Emily S. C. Ching , H. Guo , T. S. Lo

Scaling laws and intermittency in the wall region of a turbulent flow are addressed by analyzing moderate Reynolds number data obtained by single component hot wire anemometry in the boundary layer of a flat plate. The paper aims in…

Chaotic Dynamics · Physics 2009-11-07 B. Jacob , A. Olivieri , C. M. Casciola

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…

Scaling exponents of the longitudinal and transversal velocity structure functions in numerical Navier-Stokes turbulence simulations with Taylor-Reynolds numbers up to $\rel = 110$ are determined by the extended self similarity method. We…

chao-dyn · Physics 2009-10-30 Siegfried Grossmann , Detlef Lohse , Achim Reeh

We establish the dynamical instability of a static, spherically symmetric, and infinitesimally thin shell in general relativity. The shell is made up of a perfect fluid with a barotropic equation of state, and it produces a Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Tristan Pitre , Berend Schneider , Eric Poisson

Intermittency as it occurs in fast dynamos in the MHD framework is evaluated through the examination of relations between normalized moments at third order (skewness S) and fourth order (kurtosis K) for both the velocity and magnetic field,…

Plasma Physics · Physics 2025-03-11 Yannick Ponty , Helene Politano , Annick Pouquet

We investigate the connection between the inertial range and the dissipation range statistics of rotating turbulence through detailed simulations of a helical shell model and a multifractal analysis. In particular, by using the latter, we…

Extensive experimental evidence highlight that scalar turbulence exhibits anomalous diffusion and stronger intermittency levels at small scales compared to that in fluid turbulence. This renders the corresponding subgrid-scale dynamics…

Fluid Dynamics · Physics 2024-06-19 S. Hadi Seyedi , Ali Akhavan-Safaei , Mohsen Zayernouri

We study shell models that conserve the analogues of energy and enstrophy, hence designed to mimic fluid turbulence in 2D. The main result is that the observed state is well described as a formal statistical equilibrium, closely analogous…

chao-dyn · Physics 2009-10-22 E. Aurell , G. Boffetta , A. Crisanti , P. Frick , G. Paladin , A. Vulpiani

We investigate the time evolution of two different (GOY-like) shell models which have been recently proposed to describe the gross features of MHD turbulence. We see that, even if they are formally of the same type sharing with MHD…

chao-dyn · Physics 2009-10-31 P. Giuliani , V. Carbone

The equations of electrostatic drift kinetics are observed to possess a symmetry associated with their intrinsic scale invariance. Under the assumptions of spatial periodicity, stationarity, and locality, this symmetry implies a particular…

Plasma Physics · Physics 2023-08-23 T. Adkins , P. G. Ivanov , A. A. Schekochihin

Helicity transfer in a shell model of turbulence is investigated. We show that a Reynolds-independent helicity flux is present in the model when the large scale forcing breaks inversion symmetry. The equivalent in Shell Models of the ``2/15…

chao-dyn · Physics 2009-10-30 L. Biferale , D. Pierotti , F. Toschi

The existence of unique scaling in a crossover regime between viscous and inertial hydrodynamic regimes is revealed for homogeneous, isotropic, incompressible, spinodal turbulence which is characterized, to begin with, by three different…

Soft Condensed Matter · Physics 2007-05-23 R. V. R. Pandya

A study of anomalous scaling in models of passive scalar advection in terms of singular coherent structures is proposed. The stochastic dynamical system considered is a shell model reformulation of Kraichnan model. We extend the method…

chao-dyn · Physics 2019-08-17 L. Biferale , I. Daumont , T. Dombre , A. Lanotte

This paper is aimed to contribute to the scientific discussions that have been triggered by the experimental observation of a quadratic relation between the kurtosis and skewness of turbulent fluctuations present in fusion plasmas and other…

Plasma Physics · Physics 2014-02-19 Dávid Guszejnov , Attila Bencze , Sándor Zoletnik , Nóra Lazányi

We propose an exact analytical formula for the anomalous scaling exponents of inertial range structure functions in incompressible fluid turbulence. The formula is a gravitational Knizhnik-Polyakov-Zamolodchikov (KPZ)-type relation, and is…

Chaotic Dynamics · Physics 2015-10-28 Christopher Eling , Yaron Oz

We report an experimental investigation of the statistical time dynamic of spatial Fourier modes in a fully developped turbulent jet flow. Measurements rely on an original acoustic scattering technique, allowing the direct and continuous…

Statistical Mechanics · Physics 2009-11-11 C. Poulain , N. Mazellier , Y. Gagne , C. Baudet

After giving a short introduction to the Nambu-Jona-Lasinio model with an anomaly term, we show the importance of the scalar-scalar correlation in the low-energy hadron dynamics, which correlation may be summarized by a scalar-isoscalar…

High Energy Physics - Phenomenology · Physics 2016-09-01 Teiji Kunihiro

Previous work has established the usefulness of the resolvent operator that maps the terms nonlinear in the turbulent fluctuations to the fluctuations themselves. Further work has described the self-similarity of the resolvent arising from…

Fluid Dynamics · Physics 2017-04-12 A S Sharma , R Moarref , B J McKeon

By synergistically combining modeling, simulation and experiments, we show that there exists a regime of self-propulsion in which the inertia in the fluid dynamics can be separated from that of the swimmer. This is demonstrated by the…

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