Entropy, Closures and Subgrid Modeling

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 parameterization...

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Main Authors: Terence J. O’Kane, Jorgen S. Frederiksen
Format: Article
Language:English
Published: MDPI AG 2008-11-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/10/4/635/
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spelling doaj-c10664dda06d4ce2ab85f6f0806222362020-11-24T21:25:03ZengMDPI AGEntropy1099-43002008-11-0110463568310.3390/e10040635Entropy, Closures and Subgrid ModelingTerence J. O’KaneJorgen S. FrederiksenMaximum 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.http://www.mdpi.com/1099-4300/10/4/635/EntropySubgrid modelingTurbulence closures
collection DOAJ
language English
format Article
sources DOAJ
author Terence J. O’Kane
Jorgen S. Frederiksen
spellingShingle Terence J. O’Kane
Jorgen S. Frederiksen
Entropy, Closures and Subgrid Modeling
Entropy
Entropy
Subgrid modeling
Turbulence closures
author_facet Terence J. O’Kane
Jorgen S. Frederiksen
author_sort Terence J. O’Kane
title Entropy, Closures and Subgrid Modeling
title_short Entropy, Closures and Subgrid Modeling
title_full Entropy, Closures and Subgrid Modeling
title_fullStr Entropy, Closures and Subgrid Modeling
title_full_unstemmed Entropy, Closures and Subgrid Modeling
title_sort entropy, closures and subgrid modeling
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2008-11-01
description 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.
topic Entropy
Subgrid modeling
Turbulence closures
url http://www.mdpi.com/1099-4300/10/4/635/
work_keys_str_mv AT terencejoaaakane entropyclosuresandsubgridmodeling
AT jorgensfrederiksen entropyclosuresandsubgridmodeling
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