Journal ArticleDOI
On the Spectrum and Decay of Random Two-Dimensional Vorticity Distributions at Large Reynolds Number
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In this article, it was shown that the vorticity distribution in a field of random two-dimensional turbulence develops discontinuities and the energy spectrum is then calculated and shown to behave like k^(−4) for large values of the wave-number k.Abstract:
The hypothesis is made that the vorticity distribution in a field of random two-dimensional vorticity (two-dimensional turbulence) develops discontinuities. The energy spectrum is then calculated and shown to behave like k^(−4) for large values of the wave-number k. The rates of decay of mean square vorticity and velocity are estimated. An expression for the growth of length scale is obtained and it is noted that the size of turbulent trailing vortices is apparently well fitted by the formula.read more
Citations
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Book ChapterDOI
Theory of Homogeneous Turbulence
TL;DR: An overview of the theory of homogeneous turbulence is given in this paper, where concepts of quasi-normality of large-scale motions are explained and modified zero cumulant approximation is presented.
Journal ArticleDOI
Interstellar Turbulence I: Observations and Processes
Bruce G. Elmegreen,John Scalo +1 more
TL;DR: In this article, a two-part review summarizes the observations, theory, and simulations of interstellar turbulence and their implications for many fields of astrophysics, including basic fluid equations, solenoidal and compressible modes, global inviscid quadratic invariants, scaling arguments for the power spectrum, phenomenological models for the scaling of higher-order structu...
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.
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The dynamics of entropy transfer in two-dimensional hydrodynamics
TL;DR: In this paper, the qualitative properties of an inviscid, incompressible, two-dimensional fluid are examined starting from the equations of motion, and a series of equations govern the behavior of the spatial gradients of the vorticity scalar.
Journal ArticleDOI
Small-scale structure of the Taylor–Green vortex
TL;DR: In this article, the dynamics of inviscid and viscous Taylor-Green (TG) vortex flows are investigated by both direct spectral numerical solution of the Navier-Stokes equations and by power-series analysis in time.
References
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Journal ArticleDOI
Note on Decay of Homogeneous Turbulence
TL;DR: The assumption of self-similarity and the existence of an exact invariant were combined to predict the decay rate of homogeneous turbulence in this article, and the decay was shown to be stable.
Journal ArticleDOI
Numerical simulation of developing and decaying two-dimensional turbulence
TL;DR: In this paper, a two-dimensional isotropic turbulence is investigated in its development from an arbitrarily specified initial flow through its transformation into a statistically self-preserving decaying flow.
Journal ArticleDOI
On the Spectral Distribution of Large-Scale Atmospheric Kinetic Energy
TL;DR: In this article, the authors define the kinetic energy spectrum of interest as the portion of the spectrum arising from stochastic transient motion on all scales, and estimate the spectrum from four sets of data: the first two are balanced winds derived from objective analysis routines, the third streamline-isotach analyses for the tropics and sub-tropics, and the fourth untreated observed winds.
Journal ArticleDOI
Numerical Study of the Burgers' Model of Turbulence Based on the Characteristic Functional Formalism
Iwao Hosokawa,Kiyoshi Yamamoto +1 more
TL;DR: In this article, the authors investigated the one-dimensional Burgers' model of turbulence by computing the functional integral expression for the correlation function, based on the Hopf theory of statistical hydromechanics, with the aid of a high speed computer.