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Entropy maximization tendency in topographic turbulence

Published online by Cambridge University Press:  26 April 2006

Jieping Zou  and
Greg Holloway
Jieping Zou
Affiliation:
Institute of Ocean Sciences, PO Box 6000, Sidney, BC V8L 4B2, Canada
Greg Holloway
Affiliation:
Institute of Ocean Sciences, PO Box 6000, Sidney, BC V8L 4B2, Canada
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Abstract

Numerical simulations of geostrophic turbulence above topography are used to compare (a) nonlinear generation of system entropy, S, (b) selective damping of enstrophy and (c) development of vorticity–topography correlation. In the damped cases, S initially increases, approaching a quasi-equilibrium (maximum S subject to the instantaneous, though decaying, energy and enstrophy). When strongly scale-selective damping is applied, onset of the vorticity–topography correlation follows the timescales for enstrophy decay. During the period of decay, it is shown that nonlinear interaction continues to generate S, offsetting in part the loss of S to explicit damping.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 263 , 25 March 1994 , pp. 361 - 374
Copyright
© 1994 Cambridge University Press

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