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Entropy, Closures and Subgrid Modeling
Centre for Australian Climate & Weather Research, CSIRO Marine & Atmospheric Research, Aspendale, Australia
Centre for Australian Climate & Weather Research, Bureau of Meteorology, Docklands, Australia
* Author to whom correspondence should be addressed.
Received: 26 May 2008; Accepted: 19 September 2008 / Published: 17 November 2008
Abstract: Maximum entropy states or statistical mechanical equilibrium solutions have played an important role in the development of a fundamental understanding of turbulence and its role in geophysical flows. In modern general circulation models of the earth’s atmosphere and oceans most parameterizations of the subgrid-scale energy and enstrophy transfers are based on ad hoc methods or ideas developed from equilibrium statistical mechanics or entropy production hypotheses. In this paper we review recent developments in nonequilibrium statistical dynamical closure theory, its application to subgrid-scale modeling of eddy-eddy, eddy-mean field and eddy-topographic interactions and the relationship to minimum enstrophy, maximum entropy and entropy production arguments.
Keywords: Entropy; Subgrid modeling; Turbulence closures
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Frederiksen, J.S.; O’Kane, T.J. Entropy, Closures and Subgrid Modeling. Entropy 2008, 10, 635-683.
Frederiksen JS, O’Kane TJ. Entropy, Closures and Subgrid Modeling. Entropy. 2008; 10(4):635-683.
Frederiksen, Jorgen S.; O’Kane, Terence J. 2008. "Entropy, Closures and Subgrid Modeling." Entropy 10, no. 4: 635-683.