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85036236967
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R. Salmon, Geophysical Fluid Dynamics (Oxford University Press, New York, 1998)
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R. Salmon, Geophysical Fluid Dynamics (Oxford University Press, New York, 1998);
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other well known examples are the Rayleigh friction in stratified fluids, the Hartmann friction in magneto-hydrodynamics [J. Sommeria, J. Fluid Mech. 170, 139 (1986)]
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and the friction induced by surrounding air in soap films [M. Rivera and X.L. Wu, Phys. Rev. Lett. 85, 976 (2000)].
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Rivera, M.1
Wu, X.L.2
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4
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85036339512
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The numerical integration of Eq. (1) starting from a zero field is performed by a fully dealiased pseudospectral code with a second-order Runge-Kutta scheme, on a doubly periodic square domain of size (Formula presented) at different resolutions: (Formula presented) grid points. A small viscosity (depending on the resolution: (Formula presented) for (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) is used to remove the remnant enstrophy flux at small scales. The large-scale forcing (Formula presented) is Gaussian, (Formula presented) correlated in time, and limited to a shell of wave numbers around (Formula presented) (Formula presented) for (Formula presented), and (Formula presented) for (Formula presented). Forcing amplitude is chosen to provide an enstrophy injection rate (Formula presented). At variance with other choices for (Formula presented) commonly used (e.g., large-scale shear), this kind of forcing ensures the statistical isotropy and homogeneity of the vorticity field
-
The numerical integration of Eq. (1) starting from a zero field is performed by a fully dealiased pseudospectral code with a second-order Runge-Kutta scheme, on a doubly periodic square domain of size (Formula presented) at different resolutions: (Formula presented) grid points. A small viscosity (depending on the resolution: (Formula presented) for (Formula presented) (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented) is used to remove the remnant enstrophy flux at small scales. The large-scale forcing (Formula presented) is Gaussian, (Formula presented) correlated in time, and limited to a shell of wave numbers around (Formula presented) (Formula presented) for (Formula presented), and (Formula presented) for (Formula presented). Forcing amplitude is chosen to provide an enstrophy injection rate (Formula presented). At variance with other choices for (Formula presented) commonly used (e.g., large-scale shear), this kind of forcing ensures the statistical isotropy and homogeneity of the vorticity field.
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5
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0001754787
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K. Nam, E. Ott, T.M. Antonsen, and P.N. Guzdar, Phys. Rev. Lett. 84, 5134 (2000).
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Nam, K.1
Ott, E.2
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Guzdar, P.N.4
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8
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85036240545
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E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1993)
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E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1993).
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T. Bohr, M. H. Jensen, G. Paladin, and A. Vulpiani, Dynamical Systems Approach to Turbulence (Cambridge University Press, Cambridge, England, 1998)
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T. Bohr, M. H. Jensen, G. Paladin, and A. Vulpiani, Dynamical Systems Approach to Turbulence (Cambridge University Press, Cambridge, England, 1998).
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0000023936
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K. Nam, T.M. Antonsen, P.N. Guzdar, and E. Ott, Phys. Rev. Lett. 83, 3426 (1999).
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Nam, K.1
Antonsen, T.M.2
Guzdar, P.N.3
Ott, E.4
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0000640040
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Z. Neufeld, C. Lopez, E. Hernandez-Garcia, and T. Tel, Phys. Rev. E 61, 3857 (2000).
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Neufeld, Z.1
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