Journal ArticleDOI
On the Statistical Properties of Two-Dimensional Decaying Turbulence
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In this article, high-resolution numerical integration of two-dimensional Navier-Stokes equations was performed to show that the turbulent flow at high Reynolds number is dominated by a simple and weakly unstable Hamiltonian system of point-like vortices.Abstract:
By high-resolution numerical integration of two-dimensional Navier-Stokes equations we show that the turbulent flow at high Reynolds number is dominated by a simple and weakly unstable Hamiltonian system of pointlike vortices. The large instabilities, typical of the turbulent flow, are found uniquely outside vortices, in the wide dissipative region which results to be only a small perturbation of the vortex system. Moreover, the statistical distribution of vortex sizes determines the slope of the energy spectrum, which is steeper than that predicted by phenomenological theories.read more
Citations
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The spatial structure and statistical properties of homogeneous turbulence
A. Vincent,M. Meneguzzi +1 more
TL;DR: In this article, the authors used a direct numerical simulation at resolution 2403 to obtain a statistically stationary three-dimensional homogeneous and isotropic turbulent field at a Reynolds number around 1000 (Rλ ≈ 150).
Journal ArticleDOI
A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
TL;DR: In this paper, the canonical Gibbs measure associated to a N-vortex system in a bounded domain Λ, at inverse temperature, was considered and it was shown that, in the limitN→∞, β∈(−8π, + ∞) (here α denotes the vorticity intensity of each vortex), the one particle distribution function ϱN = ϱnx,x∈Λ converges to a superposition of solutions ϱα of the following Mean Field Equation:
Journal ArticleDOI
Two-dimensional turbulence: a physicist approach
TL;DR: In this paper, the authors present a review of the available information on two-dimensional turbulence, emphasizing on aspects accessible to experiment, and outlining contributions made on simple flow configurations, and open questions are made explicit.
Journal ArticleDOI
Transport by coherent barotropic vortices
TL;DR: In this article, the transport properties of coherent vortices in rotating barotropic flows have been studied and it is shown that vortice induce regular Lagrangian motion inside their cores and are highly impermeable to inward and outward particle fluxes.
Journal ArticleDOI
Quantification of the inelastic interaction of unequal vortices in two‐dimensional vortex dynamics
TL;DR: In this paper, the interaction of two isolated vortices having uniform vorticity is examined in detailed contour dynamics calculations, and quantified using a diagnostic that measures the coherence of the final state.
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.
Book
Algorithms for Graphics and Image Processing
TL;DR: This chapter discusses Graphics, Image Processing, and Pattern Recognition, and the Reconstruction techniques used in this program, as well as some of the problems faced in implementing this program.
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
Computation of the Energy Spectrum in Homogeneous Two‐Dimensional Turbulence
TL;DR: In this paper, it was shown that in spatially homogeneous two-dimensional turbulence, the mean square vorticity is unaffected by convection and can only decrease under the action of viscosity.