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We investigate the scaling behavior of longitudinal and transverse structure functions in homogeneous and isotropic magneto-hydrodynamic (MHD) turbulence by means of an exact hierarchy of structure function equations as well as by direct…

Fluid Dynamics · Physics 2017-05-03 J. Friedrich , H. Homann , T. Schäfer , R. Grauer

It is shown using experimental and numerical data that within the traditional inertial subrange defined by where the third order structure function is linear that the higher order structure function scaling exponents for longitudinal and…

Fluid Dynamics · Physics 2009-11-06 Robert M. Kerr , Maurice Meneguzzi , Toshiyuki Gotoh

We study the statistics of longitudinal and transverse structure functions, as well as velocity circulation in the inverse energy cascade of two-dimensional turbulence. By means of direct numerical simulations of the incompressible…

Fluid Dynamics · Physics 2024-11-27 Nicolás Pablo Müller , Giorgio Krstulovic

The phenomenology of the scaling behavior of higher order structure functions of velocity differences across a scale $R$ in turbulence should be built around the irreducible representations of the rotation symmetry group. Every irreducible…

chao-dyn · Physics 2009-10-30 Victor S. L'vov , Evgenii Podivilov , Itamar Procaccia

We have investigated the organization and dynamics of the large turbulent structures that develop in the logarithmic and outer layers of high-Reynolds-number wall flows. These structures have sizes comparable to the flow thickness and…

Fluid Dynamics · Physics 2013-09-11 Juan C. del Alamo

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

Second and third order longitudinal structure functions and wavenumber spectra of isotropic turbulence are computed using the EDQNM model and compared to results of the multifractal formalism. At the highest Reynolds number available in…

Fluid Dynamics · Physics 2015-05-27 Wouter J. T. Bos , Laurent Chevillard , Julian F. Scott , Robert Rubinstein

In Taylor's theory, the longitudinal dispersion in turbulent pipe flows approaches, on long timescales, a diffusive behavior with a constant diffusivity $K_L$, that depends \emph{empirically} on the Reynolds number $Re$. We show that the…

Fluid Dynamics · Physics 2016-04-27 Christopher Hawkins , Luiza Angheluta , Marcin Krotkiewski , Bjørn Jamtveit

We relate the intermittent fluctuations of velocity gradients in turbulence to a whole range of local dissipation scales generalizing the picture of a single mean dissipation length. The statistical distribution of these local dissipation…

Fluid Dynamics · Physics 2007-10-29 Joerg Schumacher

A detailed comparison between data from experimental measurements and numerical simulations of Lagrangian velocity structure functions in turbulence is presented. By integrating information from experiments and numerics, a quantitative…

Chaotic Dynamics · Physics 2008-06-06 L. Biferale , E. Bodenschatz , M. Cencini , A. S. Lanotte , N. T. Ouellette , F. Toschi , H. Xu

The connection between anomalous scaling of structure functions (intermittency) and numerical methods for turbulence simulations is discussed. It is argued that the computational work for direct numerical simulations (DNS) of fully…

Chaotic Dynamics · Physics 2009-11-11 Victor Yakhot , Katepalli R. Sreenivasan

We perform one- and two-points magnitude cumulant analysis of one-dimensional longitudinal velocity profiles stemming from three different experimental set-ups and covering a broad range of Taylor scaled Reynolds numbers from 89 to 2500.…

Statistical Mechanics · Physics 2007-05-23 J. Delour , J. F. Muzy , A. Arneodo

The scaling of acceleration statistics in turbulence is examined by combining data from the literature with new data from well-resolved direct numerical simulations of isotropic turbulence, significantly extending the Reynolds number range.…

Fluid Dynamics · Physics 2022-06-13 Dhawal Buaria , Katepalli R. Sreenivasan

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 address the problem of differences between longitudinal and transverse velocity increments in isotropic small scale turbulence. The relationship of these two quantities is analyzed experimentally by means of stochastic Markovian…

Fluid Dynamics · Physics 2009-11-10 M. Siefert , J. Peinke

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 experimentally study the turbulent flow between two coaxial and independently rotating cylinders. We determined the scaling of the torque with Reynolds numbers at various angular velocity ratios (Rotation numbers), and the behaviour of…

Fluid Dynamics · Physics 2010-06-08 Florent Ravelet , Rene Delfos , Jerry Westerweel

By tracking the divergence of two initially close trajectories in phase space in an Eulerian approach to forced turbulence, the relation between the maximal Lyapunov exponent $\lambda$, and the Reynolds number $Re$ is measured using direct…

Fluid Dynamics · Physics 2018-01-31 A. Berera , R. D. J. G. Ho

A new velocity scale is derived that yields a Reynolds number independent profile for the streamwise turbulent fluctuations in the near-wall region of wall bounded flows for $y^+<25$. The scaling demonstrates the important role played by…

Fluid Dynamics · Physics 2024-02-06 Marcus Hultmark , Alexander J. Smits

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
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