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Entropy 2012, 14(4), 769-799; doi:10.3390/e14040769

Self-Energy Closure for Inhomogeneous Turbulent Flows and Subgrid Modeling

Centre for Australian Weather and Climate Research, CSIRO Marine and Atmospheric Research, PMB#1, Aspendale, Victoria, 3195, Australia
Received: 14 March 2012 / Revised: 10 April 2012 / Accepted: 11 April 2012 / Published: 18 April 2012
(This article belongs to the Special Issue Concepts of Entropy and Their Applications)
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A new statistical dynamical closure theory for general inhomogeneous turbulent flows and subgrid modeling is presented. This Self-Energy (SE) closure represents all eddy interactions through nonlinear dissipation or forcing ‘self-energy’ terms in the mean-field, covariance and response function equations. This makes the renormalization of the bare dissipation and forcing, and the subgrid modeling problem, transparent. The SE closure generalizes the quasi-diagonal direct interaction closure to allow for more complex interactions. The SE closure is applicable to flows in different geometries, is exact near maximum entropy states corresponding to canonical equilibrium, and provides a framework for deriving simpler realizable closures.
Keywords: inhomogeneous closures; turbulence; subgrid modeling; statistical dynamics inhomogeneous closures; turbulence; subgrid modeling; statistical dynamics
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Frederiksen, J.S. Self-Energy Closure for Inhomogeneous Turbulent Flows and Subgrid Modeling. Entropy 2012, 14, 769-799.

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