Lagrangian chaos and the effect of drag on the enstrophy cascade in two-dimensional turbulence

Lagrangian chaos and the effect of drag on the enstrophy cascade in two-dimensional turbulence

We investigate the effect of drag force on the enstrophy cascade of two-dimensional Navier-Stokes turbulence. We find a power law decrease of the energy wave number (k) spectrum that is faster than the classical (no-drag) prediction of k(-3). It is shown that the enstrophy cascade with drag can be a...

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Veröffentlicht in:Physical review letters 2000-05, Vol.84 (22), p.5134-5137
Hauptverfasser: Nam, K, Ott, E, Antonsen, Jr, TM, Guzdar, PN
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creator Nam, K
Ott, E
Antonsen, Jr, TM
Guzdar, PN
description We investigate the effect of drag force on the enstrophy cascade of two-dimensional Navier-Stokes turbulence. We find a power law decrease of the energy wave number (k) spectrum that is faster than the classical (no-drag) prediction of k(-3). It is shown that the enstrophy cascade with drag can be analyzed by making use of a previous theory for finite lifetime passive scalars advected by a Lagrangian chaotic fluid flow. Using this we relate the power law exponent of the energy wave number spectrum to the distribution of finite time Lyapunov exponents and the drag coefficient.
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title Lagrangian chaos and the effect of drag on the enstrophy cascade in two-dimensional turbulence
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