Lagrangian chaos and the effect of drag on the enstrophy cascade in two-dimensional turbulence |
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Authors: | Nam Ott Antonsen Guzdar |
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Affiliation: | Institute for Plasma Research, University of Maryland, College Park, Maryland 20742, USA. |
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Abstract: | 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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