期刊
JOURNAL OF FLUID MECHANICS
卷 669, 期 -, 页码 90-119出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022112010004945
关键词
geophysical and geological flows; turbulent flows; vortex flows
资金
- National Science Foundation [OCE 07-26482, OCE 07-26866]
- Dr Hendrik Muller's Vaderlandsch Fonds
- TU/e FSB
A method for predicting the outcome of vortex breakup in a rotating flow is introduced. The vortices dealt with here are subject to both centrifugal and barotropic instabilities. The prediction of the aftermath of the breakup relies on knowing how both centrifugal and barotropic instabilities would equilibrate separately. A theoretical model for non-linear equilibration in centrifugal instability is wedded to two-dimensional simulation of barotropic instability to predict the final vortices that emerge from the debris of the original vortex. This prediction method is tested against three-dimensional Navier-Stokes simulations. For vortices in which a rapid centrifugal instability triggers a slower barotropic instability, the method is successful both qualitatively and quantitatively. The skill of the prediction method decreases as the time scales of the two instabilities become comparable.
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