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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; in revised form: 10 April 2012 / Accepted: 11 April 2012 / Published: 18 April 2012
Abstract: 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
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Frederiksen, J.S. Self-Energy Closure for Inhomogeneous Turbulent Flows and Subgrid Modeling. Entropy 2012, 14, 769-799.
Frederiksen JS. Self-Energy Closure for Inhomogeneous Turbulent Flows and Subgrid Modeling. Entropy. 2012; 14(4):769-799.
Frederiksen, Jorgen S. 2012. "Self-Energy Closure for Inhomogeneous Turbulent Flows and Subgrid Modeling." Entropy 14, no. 4: 769-799.