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

被引:89
作者
CAMBON, C [1 ]
BENOIT, JP [1 ]
SHAO, L [1 ]
JACQUIN, L [1 ]
机构
[1] OFF NATL ETUD & RECH AEROSP, F-92320 CHATILLON, FRANCE
关键词
D O I
10.1017/S0022112094003666
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Rotation strongly affects the stability of turbulent flows in the presence of large eddies. In this paper, we examine the applicability of the 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 streamfunctions that are quadratic. This class includes simple shear and 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 vortices 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-Richardson criterion; however the numerical results show that in other cases the Bradshaw-Richardson number B = 2 Omega(W + 2 Omega)/W-2 is not always a good indicator of the flow stability.
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页码:175 / 200
页数:26
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