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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

In this paper, we analyze the scaling of velocity structure functions of turbulent thermal convection. Using high-resolution numerical simulations, we show that the structure functions scale similar to those of hydrodynamic turbulence, with…

Fluid Dynamics · Physics 2019-11-15 Shashwat Bhattacharya , Shubhadeep Sadhukhan , Anirban Guha , Mahendra K. Verma

A specific asymptotic expansion at large Reynolds numbers (R)for the long wavelength perturbation of a non stationary anisotropic helical solution of the force less Navier-Stokes equations (Trkal solutions) is effectively constructed of the…

Mathematical Physics · Physics 2015-05-19 Alexander S. Libin

We define and characterize multi-time Lagrangian structure functions using data stemming from two swirling flows with mean flow and turbulent fluctuations: A Taylor-Green numerical flow, and a von K\'arm\'an laboratory experiment. Data is…

Fluid Dynamics · Physics 2022-07-21 Sofía Angriman , Pablo D. Mininni , Pablo J. Cobelli

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…

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 investigate numerically the transverse and longitudinal correlation lengths of the three-dimensional O(4) model as a function of the external field H. From our data we calculate the scaling function of the transverse correlation length,…

High Energy Physics - Lattice · Physics 2015-06-25 J. Engels , L. Fromme , M. Seniuch

The Lagrangian velocity structure functions in the inertial range of fully developed fluid turbulence are derived basing on the Navier-Stokes equations. For time $\tau$ much smaller than the correlation time, the structure functions are…

Fluid Dynamics · Physics 2009-11-13 K. P. Zybin , V. A. Sirota , A. S. Ilyin , A. V. Gurevich

In studies of turbulence, there has been extensive use of physical quantities such as {\it energy transfers} and {\it structure functions}. We examine whether these quantities can be useful in understanding problems of domain growth or…

Statistical Mechanics · Physics 2026-04-06 Pradeep Kumar Yadav , Mahendra K. Verma , Sanjay Puri

The idea of an energy cascade in the inertial range is often invoked in turbulent space plasmas to estimate the energy dissipation rate. Laws governing the behavior of third-order structure functions in the inertial range, so-called…

The inertial-range properties of quasi-stationary hydrodynamic turbulence under solid-body rotation are studied via high-resolution direct numerical simulations. For strong rotation the nonlinear energy cascade exhibits depletion and a…

Fluid Dynamics · Physics 2009-11-13 Wolf-Christian Mueller , Mark Thiele

We study universal aspects of polymer conformations and transverse fluctuations for a single swollen chain characterized by a contour length $L$ and a persistence length $\ell_p$ in two dimensions (2D) and in three dimensions (3D) in the…

Soft Condensed Matter · Physics 2023-06-07 Jacob Bair , Swarnadeep Seth , Aniket Bhattacharya

There has been recent interest in the question of whether four dimensional scale invariant unitary quantum field theories are actually conformally invariant. In this note we present a complete analysis of possible scale anomalies in…

High Energy Physics - Theory · Physics 2014-07-24 Adam Bzowski , Kostas Skenderis

This article extends results described in a recent article detailing a structural scale invariance property of the simulated annealing (SA) algorithm. These extensions are based on generalizations of the SA algorithm based on Tsallis…

Statistical Mechanics · Physics 2007-05-23 Mark Fleischer

For many complex systems the interaction of different scales is among the most interesting and challenging features. It seems not very successful to extract the physical properties in different scale regimes by the existing approaches, such…

Fluid Dynamics · Physics 2015-05-14 L. P. Wang , Y. X. Huang

The anomalous scaling of correlation functions in the turbulent statistics of active scalars (like temperature in turbulent convection) is understood in terms of an auxiliary passive scalar which is advected by the same turbulent velocity…

Chaotic Dynamics · Physics 2009-11-07 Emily S. C. Ching , Yoram Cohen , Thomas Gilbert , Itamar Procaccia

Using a code based on the Lattice Boltzmann Equation, we have performed numerical simulations of a turbulent shear flow. We investigate the scaling behaviour of the structure functions in presence of anisotropic homogeneous turbulence, and…

chao-dyn · Physics 2009-10-28 R. Benzi , M. V. Struglia , R. Tripiccione

The robust estimator presented in this paper processes each structure independently. The scales of the structures are estimated adaptively and no threshold is involved in spite of different objective functions. The user has to specify only…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 Xiang Yang , Peter Meer

The inertial subrange of turbulent scales is commonly reflected by a power law signature in ensemble statistics such as the energy spectrum and structure functions - both in theory and from observations. Despite promising findings on the…

Fluid Dynamics · Physics 2022-12-16 Michael Heisel , Charitha M. de Silva , Gabriel G. Katul , Marcelo Chamecki

Inverse energy cascade regime of two dimensional turbulence is investigated by means of high resolution numerical simulations. Numerical computations of conditional averages of transverse pressure gradient increments are found to be…

Chaotic Dynamics · Physics 2009-11-07 G. Boffetta , M. Cencini , J. Davoudi
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