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statistical dynamical closures and subgrid modeling for inhomogeneous qg and 3d turbulence统计动态闭包和次网格建模为非齐次路上和三维湍流
Entropy 2012, 14, 32-57; doi:10.3390/ OPEN ACCESS entropy ISSN 1099-4300 /journal/entropy Article Statistical Dynamical Closures and Subgrid Modeling for Inhomogeneous QG and 3D Turbulence Jorgen S. Frederiksen Centre for Australian Weather and Climate Research, CSIRO Marine and Atmospheric Research, PMB#1, Aspendale, Victoria, 3195, Australia; E-Mail: Jorgen.Frederiksen@csiro.au Received: 8 November 2011; in revised form: 27 December 2011 / Accepted: 28 December 2011 / Published: 4 January 2012 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 PACS Codes: 47.27.ef, 47.27.em, 47.27.ep 1. Introduction In recent years there have been significant advances in the formulation and applica
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