Advances in rapid distortion theory: From rotating shear flows to the baroclinic instability

被引：0
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作者：
Salhi, Azlz [1 ]
Cambon, Claude [2 ]
机构：
[1] Département de Physique, Campus Universitaire de Tunis, 1060 Tunis, Tunisia
[2] Laboratoire de Mécanique des Fluides et d'Acoustique, U.M.R.CNRS 5509, Ecole Centrale de Lyon, 69134 Ecully Cedex, France
来源：
Journal of Applied Mechanics, Transactions ASME | 2006年 / 73卷 / 03期
关键词：
The essentials of rapid distortion theory (RDT) are briefly recalled for homogeneous turbulence subjected to rotational mean flows; including its linkage to stability analysis. The latter linkage is of particular importance from our viewpoint; since it also attracted the attention of Charles Speziale; resulting in at least two papers [Speziale; C; G; Abid; R; and Blaisdell; A; 1996; On the Consistency of Reynolds Stress Turbulence Closures With Hydrodynamic Stability Theory; Phys; Fluids; 8; pp. 781-788 and Salhi; Cambon; and Speziale; 1997; Linear Stability Analysis of Plane Quadratic Flows in a Rotating Frame; 9(8); pp. 2300-2309] with particular emphasis on rotating flows. New analytical solutions and related RDT results are presented for shear flows including buoyancy forces; with system rotation or mean density stratification. Finally; combining shear; rotation and stratification; RDT is shown to be pertinent to revisiting the baroclinic instability. This instability results from the tilting of mean isopycnal surfaces under combined effects of vertical shear and system rotation; in a vertically (stably) stratified medium rotating around the vertical direction. In addition; the challenge of reproducing RDT dynamics in single-point closure models is briefly discussed; from the viewpoint of structure-based modeling [Cambon C; Jacquin; L; and Lubrano; J.-L; 1992; Towards a New Reynolds Stress Model for Rotating Turbulent Flows; Phys. Fluids A; 4; pp. 812-824 and Kassinos; S; Reynolds; W; and Rogers; M; 2000; One-Point Turbulence Structure Tensors; J. Fluid Mech; 428; pp. 213-248. Copyright © 2006 by ASME;
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Conference article (CA)
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页码：449 / 460
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