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The mixing efficiency of a flow advecting a passive scalar sustained by steady sources and sinks is naturally defined in terms of the suppression of bulk scalar variance in the presence of stirring, relative to the variance in the absence…

Fluid Dynamics · Physics 2011-05-03 Tiffany A. Shaw , Jean-Luc Thiffeault , Charles R. Doering

Passive scalars advected by a magnetically driven two-dimensional turbulent flow are analyzed using methods of statistical topography. The passive tracer concentration is interpreted as the height of a random surface and the scaling…

Statistical Mechanics · Physics 2009-10-31 J. Kondev , G. Huber

This paper analyses the turbulent energy cascade from the perspective of statistical mechanics, and relates inter-scale energy fluxes to statistical irreversibility and information-entropy production. The microscopical reversibility of the…

Fluid Dynamics · Physics 2021-04-07 Alberto Vela-Martin , Javier Jimenez

We study the effect of large-scale spectral forcing on the scale-dependent anisotropy of the velocity field in direct numerical simulations of homogeneous incompressible turbulence. Two forcing methods are considered: the steady ABC single…

Fluid Dynamics · Physics 2018-02-14 Donato Vallefuoco , Aurore Naso , Fabien Godeferd

We calculate the scalar power spectrum generated by sourced fluctuations due to coupling between the scalar field, which holds most of the energy density of the universe, and a gauge field for a general FLRW metric. For this purpose we…

General Relativity and Quantum Cosmology · Physics 2021-02-19 Ido Ben-Dayan , Judy Kupferman

Influence of strong uniaxial small-scale anisotropy on the stability of inertial-range scaling regimes in a model of a passive transverse vector field advected by an incompressible turbulent flow is investigated by means of the field…

Chaotic Dynamics · Physics 2007-05-23 E. Jurcisinova , M. Jurcisin , R. Remecky , M. Scholtz

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

We study the statistical properties of stationary, isotropic and homogeneous turbulence in two-dimensional (2D) flows, focusing on the direct cascade, that is on wave-numbers large compared to the integral scale, where both energy and…

Statistical Mechanics · Physics 2024-08-29 Malo Tarpin , Léonie Canet , Carlo Pagani , Nicolás Wschebor

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

Turbulent flows in three dimensions are characterized by the transport of energy from large to small scales through the energy cascade. Since the small scales are the result of the nonlinear dynamics across the scales, they are often…

Fluid Dynamics · Physics 2025-03-19 Lukas Bentkamp , Michael Wilczek

We have imagined a numerical experiment to explore the onset of turbulent intermittency associated with a spatial perturbation of the correlation length. We place two isotropic regions, with different integral scales, inside a volume where…

Fluid Dynamics · Physics 2012-11-29 Daniela Tordella , Michele Iovieno

Rapidly rotating turbulent flow is characterized by the emergence of columnar structures that are representative of quasi-two dimensional behavior of the flow. It is known that when energy is injected into the fluid at an intermediate scale…

Fluid Dynamics · Physics 2015-06-04 Amrik Sen , Pablo D. Mininni , Duane Rosenberg , Annick pouquet

Recent developments in turbulence are focused on the effect of large scale anisotropy on the small scale statistics of velocity increments. According to Kolmogorov, isotropy is recovered in the large Reynolds number limit as the scale is…

Chaotic Dynamics · Physics 2009-11-11 C. M. Casciola , P. Gualtieri , B. Jacob , R. Piva

We study statistical properties of turbulent inverse cascades in a class of nonlinear models describing a scalar field transported by a two-dimensional incompressible flow. The class is characterized by a linear relation between the…

Statistical Mechanics · Physics 2010-12-20 G. Falkovich , S. Musacchio

We consider the evolution of a family of 2D dispersive turbulence models. The members of this family involve the nonlinear advection of a dynamically active scalar field, the locality of the streamfunction-scalar relation is denoted by…

Fluid Dynamics · Physics 2009-02-20 Jai Sukhatme , Leslie M. Smith

The advection and mixing of a scalar quantity by fluid flow is an important problem in engineering and natural sciences. If the fluid is turbulent, the statistics of the passive scalar exhibit complex behavior. This paper is concerned with…

Fluid Dynamics · Physics 2022-07-13 Mnerh Alqahtani , Leonardo Grigorio , Tobias Grafke

The generation of small-scale anisotropy in turbulent shearless mixing is numerically investigated. Data from direct numerical simulations at Taylor Reynolds' numbers between 45 and 150 show that there is not only a significant departure of…

Fluid Dynamics · Physics 2015-03-13 Daniela Tordella , Michele Iovieno

We present results of numerical simulation of the direct cascade in two-dimensional hydrodynamic turbulence (with spatial resolution up to $16384 \times 16384$). If at the earlier stage (at the time of order of the inverse pumping growth…

Fluid Dynamics · Physics 2017-05-24 E. A. Kuznetsov , E. V. Sereshchenko

We show that multiscaling properties of developed turbulence in shell models, which lead to anomalous scaling exponents in the inertial range, are determined exclusively by instanton dynamics. Instantons represent correlated extreme events…

Fluid Dynamics · Physics 2012-08-15 Alexei A. Mailybaev

The influence of uniaxial small-scale anisotropy on the stability of the scaling regimes and on the anomalous scaling of the structure functions of a passive scalar advected by a Gaussian solenoidal velocity field with finite correlation…

Chaotic Dynamics · Physics 2009-11-13 E. Jurcisinova , M. Jurcisin