STABILITY ANALYSIS AND LARGE-EDDY SIMULATION OF ROTATING TURBULENCE WITH ORGANIZED EDDIES

Citation
C. Cambon et al., STABILITY ANALYSIS AND LARGE-EDDY SIMULATION OF ROTATING TURBULENCE WITH ORGANIZED EDDIES, Journal of Fluid Mechanics, 278, 1994, pp. 175-200
Citations number
53
Categorie Soggetti
Mechanics,"Phsycs, Fluid & Plasmas
Journal title
ISSN journal
00221120
Volume
278
Year of publication
1994
Pages
175 - 200
Database
ISI
SICI code
0022-1120(1994)278:<175:SAALSO>2.0.ZU;2-Y
Abstract
Rotation strongly affects the stability of turbulent flows in the pres ence of large eddies. In this paper, we examine the applicability of t he classic Bradshaw-Richardson criterion to flows more general than a simple combination of rotation and pure shear. Two approaches are used . Firstly the linearized theory is applied to a class of rotating two- dimensional flows having arbitrary rates of strain and vorticity and s treamfunctions that are quadratic. This class includes simple shear an d elliptic flows as special cases. Secondly, we describe a large-eddy simulation of initially quasi-homogeneous three-dimensional turbulence superimposed on a periodic array of two-dimensional Taylor-Green vort ices in a rotating frame. The results of both approaches indicate that , for a large structure of vorticity W and subject to rotation Omega, maximum destabilization is obtained for zero tilting vorticity (1/2W 2 Omega = 0) whereas stability occurs for zero absolute vorticity (W + 2 Omega = 0). These results are consistent with the Bradshaw-Richard son criterion; however the numerical results show that in other cases the Bradshaw-Richardson number B = 2 Omega(W + 2 Omega)/W-2 is not alw ays a good indicator of the flow stability.