Entropy 2012, 14(1), 32-57; doi:10.3390/e14010032
Article

Statistical Dynamical Closures and Subgrid Modeling for Inhomogeneous QG and 3D Turbulence

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Received: 8 November 2011; in revised form: 27 December 2011 / Accepted: 28 December 2011 / Published: 4 January 2012
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: Statistical dynamical closures for inhomogeneous turbulence described by multi‑field equations are derived based on renormalized perturbation theory. Generalizations of the computationally tractable quasi-diagonal direct interaction approximation for inhomogeneous barotropic turbulent flows over topography are developed. Statistical closures are also formulated for large eddy simulations including subgrid models that ensure the same large scale statistical behavior as higher resolution closures. The focus is on baroclinic quasigeostrophic and three-dimensional inhomogeneous turbulence although the framework is generally applicable to classical field theories with quadratic nonlinearity.
Keywords: inhomogeneous closures; turbulence; subgrid modeling; statistical dynamics
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MDPI and ACS Style

Frederiksen, J.S. Statistical Dynamical Closures and Subgrid Modeling for Inhomogeneous QG and 3D Turbulence. Entropy 2012, 14, 32-57.

AMA Style

Frederiksen JS. Statistical Dynamical Closures and Subgrid Modeling for Inhomogeneous QG and 3D Turbulence. Entropy. 2012; 14(1):32-57.

Chicago/Turabian Style

Frederiksen, Jorgen S. 2012. "Statistical Dynamical Closures and Subgrid Modeling for Inhomogeneous QG and 3D Turbulence." Entropy 14, no. 1: 32-57.


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