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- W1741132954 abstract "For the constant mean velocity $mathbf U_0$, our renormalization group analysis of the Navier Stokes equation shows that the renormalized viscosity $nu(k)$ is independent of $mathbf U_0$, hence $nu(k)$ in the Eulerian theory is Galilean invariant. We also compute $nu(k)$ using numerical simulations and verify the above theoretical prediction. In a modified form of Kraichnan's direct interaction approximation (DIA), the mean velocity field of the large eddies sweeps the small-scale fluctuations. The DIA calculations also reveal that in the weak turbulence limit, the energy spectrum $E(k) sim k^{-3/2}$, but for the strong turbulence limit, the random velocity of the large-scale eddies is scale-dependent that leads to Kolmogorov's energy spectrum. The sweeping effect by the random large-scale structures is borne out in our numerical simulations." @default.
- W1741132954 created "2016-06-24" @default.
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- W1741132954 date "2014-11-11" @default.
- W1741132954 modified "2023-09-27" @default.
- W1741132954 title "Sweeping effect in turbulence revisited" @default.
- W1741132954 hasPublicationYear "2014" @default.
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