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- W2007079609 abstract "Freely evolving two-dimensional turbulence is dominated by coherent vortices. The density of these vortices decays in time as ensuremath{rho}ensuremath{sim}${mathit{t}}^{mathrm{ensuremath{-}}ensuremath{xi}}$ with ensuremath{xi}ensuremath{approxeq}0.75. A new scaling theory is proposed which expresses all statistical properties in terms of ensuremath{xi}. Thus the average circulation of the vortices increases as ${mathit{t}}^{ensuremath{xi}/2}$ and their average radius as ${mathit{t}}^{ensuremath{xi}/4}$. The total energy is constant, the enstrophy decreases as ${mathit{t}}^{mathrm{ensuremath{-}}ensuremath{xi}/2}$, and the vorticity kurtosis increases as ${mathit{t}}^{ensuremath{xi}/2}$. These results are supported both by numerical simulations of the fluid equations and by solutions of a modified point-vortex model." @default.
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- W2007079609 date "1991-05-27" @default.
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- W2007079609 title "Evolution of vortex statistics in two-dimensional turbulence" @default.
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- W2007079609 doi "https://doi.org/10.1103/physrevlett.66.2735" @default.
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