Eye formation in rotating convection

被引:12
|
作者
Oruba, L. [1 ]
Davidson, P. A. [2 ]
Dormy, E. [3 ]
机构
[1] Ecole Normale Super, Dept Phys, 24 Rue Lhomond, F-75005 Paris, France
[2] Univ Cambridge, Dept Engn, Trumpington St, Cambridge CB2 1PZ, England
[3] Ecole Normale Super, CNRS UMR 8553, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France
关键词
Benard convection; rotating flows; vortex dynamics;
D O I
10.1017/jfm.2016.846
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We consider rotating convection in a shallow, cylindrical domain. We examine the conditions under which the resulting vortex develops an eye at its core; that is, a region where the poloidal flow reverses and the angular momentum is low. For simplicity, we restrict ourselves to steady, axisymmetric flows in a Boussinesq fluid. Our numerical experiments show that, in such systems, an eye forms as a passive response to the development of a so-called eycwall, a conical annulus of intense, negative azimuthal vorticity that can form near the axis and separates the eye from the primary vortex. We also observe that the vorticity in the cyewall comes from the lower boundary layer, and relies on the fact the poloidal flow strips negative vorticity out of the boundary layer and carries it up into the fluid above as it turns upward near the axis. This process is effective only if the Reynolds number is sufficiently high for the advection of vorticity to dominate over diffusion. Finally we observe that, in the vicinity of the eye and the eyewall, the buoyancy and Coriolis forces are negligible, and so although these forces arc crucial to driving and shaping the primary vortex, they play no direct role in eye formation in a Boussinesq fluid.
引用
收藏
页码:890 / 904
页数:15
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