The motion of a non-isolated vortex on the beta-plane

被引：30
|
作者：
Smith, SGL
机构：
[1] Dept. Appl. Math. and Theor. Phys., University of Cambridge, Cambridge CB3 9EW, Silver Street
[2] Phys. Oceanography Research Division, Scripps Institution of Oceanography, San Diego, CA 92093-0230
来源：
JOURNAL OF FLUID MECHANICS | 1997年 / 346卷
关键词：
D O I：
10.1017/S0022112097006290
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The trajectory of a non-isolated monopole on the beta-plane is calculated as an asymptotic expansion in the ratio of the strength of the vortex to the beta-effect. The method of matched asymptotic expansions is used to solve the equations of motion in two regions of the flow: a near field where the beta-effect enters as a first-order forcing in relative vorticity, and a wave field in which the dominant balance is a linear one between the beta-effect and the rate of change of relative vorticity. The resulting trajectory is computed for Gaussian and Rankine vortices.
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页码：149 / 179
页数：31
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