3-DIMENSIONAL INSTABILITY OF STRAINED VORTICES IN A STABLE STRATIFIED FLUID

被引:52
作者
MIYAZAKI, T
FUKUMOTO, Y
机构
[1] NATL INST ENVIRONM STUDIES,YATABE,IBARAKI 305,JAPAN
[2] NAGOYA UNIV,DEPT APPL PHYS,CHIKUSA KU,NAGOYA 46401,JAPAN
来源
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1992年 / 4卷 / 11期
关键词
D O I
10.1063/1.858438
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The linear stability of unbounded strained vortices in a stably stratified fluid is investigated theoretically. The problem is reduced to a Floquet problem which is solved numerically. The three-dimensional elliptical instability of Pierrehumbert type [Phys. Rev. Lett. 57, 2157 (1986)] is shown to be suppressed by the stable stratification and it disappears when the Brunt-Vaisala frequency exceeds unity. On the other hand, two classes of new instability mode are found to occur. One appears only when the Brunt-Vaisala frequency is less than 2, whereas the other persists for all values of the Brunt-Vaisala frequency. The former mode is related to a parametric resonance of internal gravity waves, and the latter modes are related to superharmonic parametric instability.
引用
收藏
页码:2515 / 2522
页数:8
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