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By using direct numerical simulations (DNS) at unprecedented resolution we study turbulence under rotation in the presence of simultaneous direct and inverse cascades. The accumulation of energy at large scale leads to the formation of…

Elastic turbulence can lead to to increased flow resistance, mixing and heat transfer. Its control -- either suppression or promotion -- has significant potential, and there is a concerted ongoing effort by the community to improve our…

Fluid Dynamics · Physics 2025-12-05 Jack R. C. King , Robert J. Poole , Cláudio P. Fonte , Steven J. Lind

We show how to use numerical methods within the framework of successive scaling to analyse the microstructure of turbulence, in particular to find inertial range exponents and structure functions. The methods are first calibrated on the…

Numerical Analysis · Mathematics 2007-05-23 Panagiotis Stinis , Alexandre J. Chorin

To comprehensively understand saturation of two-dimensional ($2$D) magnetized Kelvin-Helmholtz-instability-driven turbulence, energy transfer analysis is extended from the traditional interaction between scales to include eigenmode…

Plasma Physics · Physics 2023-07-26 B. Tripathi , A. E. Fraser , P. W. Terry , E. G. Zweibel , M. J. Pueschel , E. H. Anders

Guided by the duality of turbulence (random versus coherent we seek coherent structures in the turbulent velocity field of molecular clouds, anticipating their importance in cloud evolution. We analyse a large map (40' by 20') obtained with…

Astrophysics of Galaxies · Physics 2015-05-13 Pierre Hily-Blant , Edith Falgarone

In this paper we discuss the dynamical features of intermittent fluctuations in homogeneous shear flow turbulence. In this flow the energy cascade is strongly modified by the production of turbulent kinetic energy related to the presence of…

Chaotic Dynamics · Physics 2007-05-23 P. Gualtieri , C. M Casciola , R. Benzi , G. Amati , R. Piva

Understanding intermittency of turbulent systems from the underlying differential equations is an outstanding problem in fluid dynamics. Here, in the example of Burgers turbulence as a stringent test, we introduce a method that yields…

Fluid Dynamics · Physics 2026-04-08 Timo Schorlepp , Rainer Grauer

We introduce a shell (``GOY'') model for turbulent binary fluids. The variation in the concentration between the two fluids acts as an active scalar leading to a redefined conservation law for the energy, which is incorporated into the…

Soft Condensed Matter · Physics 2009-10-28 Mogens H. Jensen , Poul Olesen

A three-layer asymptotic structure for turbulent pipe flow is proposed, revealing in terms of intermediate variables, the existence of a Reynolds-number invariant logarithmic region. It provides a theoretical foundation for addressing…

Fluid Dynamics · Physics 2021-07-01 Sourabh S. Diwan , Jonathan F. Morrison

We give an overview of the progress that has been made in recent years in understanding the dynamic multiscaling of homogeneous, isotropic turbulence and related problems. We emphasise the similarity of this problem with the dynamic scaling…

Chaotic Dynamics · Physics 2009-11-13 Rahul Pandit , Samriddhi Sankar Ray , Dhrubaditya Mitra

To answer the question whether a cascade of energy exists or not in turbulence, we propose a set of correlation functions able to test if there is an irreversible transfert of energy, step by step, from large to small structures. These…

Fluid Dynamics · Physics 2016-11-23 Christophe Josserand , Martine Le Berre , Thierry Lehner , Yves Pomeau

We study the evolution of coherent structures in arbitrary turbulence phenomena, developing some tools, from non-archimedean analysis and algebraic geometry, in order to model its display. We match the scale-dependent, topological structure…

Mathematical Physics · Physics 2013-10-01 Luis G. D. C. Borges

Multiscale correlation functions in high Reynolds number experimental turbulence and synthetic signals are investigated. Fusion Rules predictions as they arise from multiplicative, almost uncorrelated, random processes for the energy…

chao-dyn · Physics 2009-10-31 R. Benzi , L. Biferale , F. Toschi

Turbulence has strong and seemingly random fluctuations. Assessing its repeatability is key to predicting flows in technology and nature, much of which decay as viscosity dissipates energy. Much has been done to this end since the work of…

Fluid Dynamics · Physics 2026-05-11 Noé Clavier , Eberhard Bodenschatz , Florencia Falkinhoff

Vortical structures of turbulence, i.e., vortex tubes and sheets, are studied using one-dimensional velocity data obtained in laboratory experiments for duct flows and boundary layers at microscale Reynolds numbers from 332 to 1934. We…

Fluid Dynamics · Physics 2009-11-13 H. Mouri , A. Hori , Y. Kawashima

We investigate the scaling properties a model of passive vector turbulence with pressure and in the presence of a large-scale anisotropy. The leading scaling exponents of the structure functions are proven to be anomalous. The anisotropic…

Chaotic Dynamics · Physics 2009-11-07 L. Ts. Adzhemyan , N. V. Antonov , A. Mazzino , P. Muratore-Ginanneschi , A. V. Runov

This article discusses the description of wall-bounded turbulence as a deterministic high-dimensional dynamical system of interacting coherent structures, defined as eddies with enough internal dynamics to behave relatively autonomously…

Fluid Dynamics · Physics 2018-03-20 Javier Jimenez

A phenomenological model describing the time-frequency dependence of the power spectrum of thin plates vibrating in a wave turbulence regime, is introduced. The model equation contains as basic solutions the Rayleigh-Jeans equipartition of…

Statistical Mechanics · Physics 2017-09-29 T. Humbert , C. Josserand , C. Touzé , O. Cadot

The present paper deals with the study of spectral properties of the helical mode of uniform isotropic turbulence in the presence and in the absence of mean helicity. It is shown that even in the absence of mean helicity, the helicity of…

Fluid Dynamics · Physics 2008-11-05 E. Golbraikh

Laminar-turbulent intermittency is intrinsic to the transitional regime of a wide range of fluid flows including pipe, channel, boundary layer and Couette flow. In the latter turbulent spots can grow and form continuous stripes, yet in the…

Fluid Dynamics · Physics 2013-06-11 Liang Shi , Marc Avila , Bjoern Hof