Stability of periodic arrays of vortices

被引:25
作者
Dauxois, T [1 ]
Fauve, S [1 ]
Tuckerman, L [1 ]
机构
[1] LIMSI,F-91403 ORSAY,FRANCE
关键词
D O I
10.1063/1.868802
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The stability of periodic arrays of Mallier-Maslowe or Kelvin-Stuart vortices is discussed. We derive with the energy-Casimir stability method the nonlinear stability of this solution in the inviscid case as a function of the solution parameters and of the domain size. We exhibit the maximum size of the domain for which the vortex street is stable. By adapting a numerical time-stepping code, we calculate the linear stability of the Mallier-Maslowe solution in the presence of viscosity and compensating forcing. Finally, the results are discussed and compared to a recent experiment in fluids performed by Tabeling et al. [Europhy. Lett. 3, 459 (1987)]. Electromagnetically driven counter-rotating vortices are unstable above a critical electric current, and give way to co-rotating vortices. The importance of the friction at the bottom of the experimental apparatus is also discussed. (C) 1996 American Institute of Physics.
引用
收藏
页码:487 / 495
页数:9
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