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• W1991756027 abstract "The inverse energy cascade in two-dimensional Navier-Stokes turbulence is examined in the quasisteady regime, with small-scale, band-limited forcing at scale ${k}_{f}^{ensuremath{-}1}$, with particular attention to the influence of forcing Reynolds number Re on the energy distribution at large scales. The strength of the inverse energy cascade, or fraction of energy input that is transferred to larger scales, increases monotonically toward unity with increasing $mathrm{Re}ensuremath{propto}{k}_{mathrm{max}}^{2}∕{k}_{f}^{2}$, where ${k}_{mathrm{max}}$ is the maximum resolved wave number. Moreover, as Re increases beyond a critical value, for which a direct enstrophy cascade to small scales is first realized, the energy spectrum in the energy-cascading range steepens from a ${k}^{ensuremath{-}5∕3}$ to ${k}^{ensuremath{-}2}$ dependence. The steepening is interpreted as the result of a greater tendency for coherent vortex formation in cases when forcing scales are adequately resolved. In spectral space, it is associated with nonlocality of the inverse energy transfer." @default.
• W1991756027 created "2016-06-24" @default.
• W1991756027 creator A5058932332 @default.
• W1991756027 date "2007-04-03" @default.
• W1991756027 modified "2023-09-23" @default.
• W1991756027 title "Nonrobustness of the two-dimensional turbulent inverse cascade" @default.
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• W1991756027 doi "https://doi.org/10.1103/physreve.75.046301" @default.
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