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We investigate the intermittency of energy dissipation in Alfvenic turbulence by considering the statistics of the coarse-grained energy dissipation rate, using direct measurements from numerical simulations of magnetohydrodynamic…

Plasma Physics · Physics 2016-02-23 Vladimir Zhdankin , Stanislav Boldyrev , Christopher H. K. Chen

We develop an analytic model of intermittent, three-dimensional, strong, reduced magnetohydrodynamic turbulence with zero cross helicity. We take the fluctuation amplitudes to have a log-Poisson distribution and incorporate into the model a…

Solar and Stellar Astrophysics · Physics 2014-03-26 Benjamin D. G. Chandran , Alexander A. Schekochihin , Alfred Mallet

The notion of self-similar energy cascades and multifractality has long since been connected with fully developed, homogeneous and isotropic turbulence. We introduce a number of amendments to the standard methods for analysing the…

Chaotic Dynamics · Physics 2007-05-23 M. Alber , S. Lueck , C. Renner , J. Peinke

This is a paper about multi-fractal scaling and dissipation in a shell model of turbulence, called the GOY model. This set of equations describes a one dimensional cascade of energy towards higher wave vectors. When the model is chaotic,…

chao-dyn · Physics 2009-10-22 Leo Kadanoff , Detlef Lohse , Jane Wang , Roberto Benzi

We investigate the energy cascade in wall-bounded turbulence by analysing the interscale transfer between streamwise and spanwise length scales in periodic channels. This transfer originates from the nonlinear interactions in the advective…

Fluid Dynamics · Physics 2025-11-10 Joy Chen , Ricardo Garcia-Mayoral

The Frisch-Parisi multifractal formalism remains the most compelling rationalisation for anomalous scaling in fully developed turbulence. We now show that this formalism can be adapted locally to reveal the spatial distribution of…

Fluid Dynamics · Physics 2023-07-13 Siddhartha Mukherjee , Sugan D. Murugan , Ritwik Mukherjee , Samriddhi Sankar Ray

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Fundamental quantities of turbulent flows, such as the dissipation constant $C_\varepsilon$ and the intermittency factor $\mu$, are examined in relation to each other for a broader class of non-ideal turbulent flows. In the context of the…

Fluid Dynamics · Physics 2025-12-12 F. Schmitt , A. Fuchs , J. Peinke , M. Obligado

Dissipation anomaly-the persistence of finite energy dissipation in the inviscid limit-is a hallmark of turbulence, sometimes regarded as the "zeroth law" of turbulent flows. Here, we demonstrate that this phenomenon is not exclusive to…

Statistical Mechanics · Physics 2025-11-25 Hiroyoshi Nakano , Yuki Minami

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

Energy dissipation rate is an important parameter for nearly every experiment on turbulent flow. Mathematically precise relationships between energy dissipation rate and other measurable statistics for the case of anisotropic turbulence are…

Fluid Dynamics · Physics 2008-02-28 Reginald J. Hill

Turbulence is ubiquitous in plasmas, leading to rich dynamics characterized by irregularity, irreversibility, energy fluctuations across many scales, and energy transfer across many scales. Another fundamental and generic feature of…

Plasma Physics · Physics 2017-02-14 Vladimir Zhdankin , Stanislav Boldyrev , Dmitri A. Uzdensky

Energy dissipation rates are an important characteristic of turbulence; however, their magnitude in observational profiles can be incorrectly determined owing to their irregular appearance during vertical evolution. By analysing the data…

Geophysics · Physics 2020-11-24 Nozomi Sugiura , Shinya Kouketsu , Shuhei Masuda , Satoshi Osafune , Ichiro Yasuda

The energy cascade and diverse turbulence properties of active-grid-generated turbulence were studied in a wind tunnel via hot-wire anemometry. To this aim, two active grid protocols were considered. The first protocol is the standard…

Fluid Dynamics · Physics 2019-10-09 D. O. Mora , E. Muñiz Pladellorens , P. Riera Turró , M. Lagauzere , M. Obligado

Shell models provide a simplified mathematical framework that captures essential features of incompressible fluid turbulence, such as the energy cascade and scaling of the fluid observables. We perform a precision analysis of the direct and…

Fluid Dynamics · Physics 2024-09-19 James Creswell , Viatcheslav Mukhanov , Yaron Oz

The Log-Poisson phenomenological description of the turbulent energy cascade is evoked to discuss high-order statistics of velocity derivatives and the mapping between their probability distribution functions at different Reynolds numbers.…

Fluid Dynamics · Physics 2015-05-13 M. Kholmyansky , L. Moriconi , R. M. Pereira , A. Tsinober

The statistical properties of turbulent flows are fundamentally different from those of systems at equilibrium due to the presence of an energy flux from the scales of injection to those where energy is dissipated by the viscous forces: a…

Statistical Mechanics · Physics 2024-01-17 Niccolò Cocciaglia , Massimo Cencini , Angelo Vulpiani

Polymeric turbulence, flows of fluids with dilute polymer additives at high Reynolds numbers, exhibits striking deviations from the Kolmogorovean behaviour of Newtonian turbulence. Recent experiments as well as simulations have uncovered a…

Fluid Dynamics · Physics 2025-07-30 Alessandro Chiarini , Rahul K. Singh , Marco E. Rosti

Multi-fractal scaling in the transition to the dissipative regime for fully-developed compressible turbulence is considered. The multi-fractal power law scaling behavior breaks down for very small length scales thanks to viscous effects.…

Fluid Dynamics · Physics 2010-01-07 B. K. Shivamoggi

Intermittency is one of central obstacles for understanding small-scale dynamics in the fully developed hydrodynamic turbulence. The modern approach is largely based on the multifractal theory of Parisi and Frisch which is, however,…

Fluid Dynamics · Physics 2023-05-12 Alexei A. Mailybaev
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