Journal ArticleDOI
Two-Dimensional Turbulence
Guido Boffetta,Robert E. Ecke +1 more
TLDR
In this paper, the authors discuss the effects of dimensionality on 2D turbulent fluid flows and present theoretical predictions of spectra, structure functions, probability distributions, and mechanisms, and major experimental and numerical comparisons are reviewed.Abstract:
In physical systems, a reduction in dimensionality often leads to exciting new phenomena. Here we discuss the novel effects arising from the consideration of fluid turbulence confined to two spatial dimensions. The additional conservation constraint on squared vorticity relative to three-dimensional (3D) turbulence leads to the dual-cascade scenario of Kraichnan and Batchelor with an inverse energy cascade to larger scales and a direct enstrophy cascade to smaller scales. Specific theoretical predictions of spectra, structure functions, probability distributions, and mechanisms are presented, and major experimental and numerical comparisons are reviewed. The introduction of 3D perturbations does not destroy the main features of the cascade picture, implying that 2D turbulence phenomenology establishes the general picture of turbulent fluid flows when one spatial direction is heavily constrained by geometry or by applied body forces. Such flows are common in geophysical and planetary contexts, are beautiful to observe, and reflect the impact of dimensionality on fluid turbulence.read more
Citations
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Rayleigh–Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. II
TL;DR: In this article, Zhou et al. presented the initial condition dependence of Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) mixing layers, and introduced parameters that are used to evaluate the level of mixedness and mixed mass within the layers.
Journal ArticleDOI
Cascades and transitions in turbulent flows
TL;DR: In this article, the authors provide a critical summary of recent work on turbulent flows from a unified point of view and present a classification of all known transfer mechanisms, including direct and inverse energy cascades.
Journal ArticleDOI
Hydrodynamics of electrons in graphene
Andrew Lucas,Kin Chung Fong +1 more
TL;DR: A review of recent progress in understanding the hydrodynamic limit of electronic motion in graphene can be found in this paper, where the phase diagram of graphene is discussed, and the inevitable presence of impurities and phonons in experimental systems.
Journal ArticleDOI
Machine learning-accelerated computational fluid dynamics.
TL;DR: In this paper, an end-to-end deep learning approach is used to improve approximations inside computational fluid dynamics for modeling two-dimensional turbulent flows, achieving state-of-the-art accuracy.
Journal ArticleDOI
Inverse energy cascade in three-dimensional isotropic turbulence
TL;DR: It is shown here that energy flux is always reversed when mirror symmetry is broken, leading to a distribution of helicity in the system with a well-defined sign at all wave numbers, showing that both 2D and 3D properties naturally coexist in all flows in nature.
References
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Journal ArticleDOI
Inertial Ranges in Two‐Dimensional Turbulence
TL;DR: In this paper, it was shown that two-dimensional turbulence has both kinetic energy and mean square vorticity as inviscid constants of motion, and two formal inertial ranges, E(k)∼e2/3k−5/3/3, where e is the rate of cascade of kinetic energy per unit mass, η is the time taken to reach a cascade of mean square velocity, and k is the kinetic energy of the entire mass.
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Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
TL;DR: In this article, a theoretical investigation of the spectrum of a turbulent fluid at large wave-numbers is presented, taking into account the two effects of convection with the fluid and molecular diffusion with diffusivity k. Hypotheses of the kind made by Kolmogoroff for the small-scale variations of velocity in a turbulent motion at high Reynolds number are assumed to apply also to small-size variations of θ.
Journal ArticleDOI
The emergence of isolated coherent vortices in turbulent flow
TL;DR: In this article, a study of two-dimensional and geostrophic turbulent flows is presented, showing that the flow structure has vorticity concentrated in a small fraction of the spatial domain, and these concentrations typically have lifetimes long compared with the characteristic time for nonlinear interactions in turbulent flow (i.e. an eddy turnaround time).
Journal ArticleDOI
Two-dimensional turbulence
Robert H. Kraichnan,D Montgomery +1 more
TL;DR: The theory of two-dimensional turbulence is reviewed and unified, and some hydrodynamic and plasma applications are considered in this paper, where some equations of incompressible hydrodynamics, absolute statistical equilibrium, spectral transport of energy and enstrophy, turbulence on the surface of a rotating sphere, turbulent diffusion, MHD turbulence, and two dimensional superflow are discussed.
Book
Lectures on Geophysical Fluid Dynamics
TL;DR: In this paper, the authors introduce Geophysical Fluid Dyunamics and introduce the non-inertial theory of Ocean Circulation and Statistical Fluid Dynamics (SFLD).