Instability of planetary flows using Riemann curvature: a numerical study

被引：1

作者：

Blender, Richard ^{[1
]}

机构：

[1] Univ Hamburg, Meteorol Inst, Hamburg, Germany

来源：

GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS | 2019年 / 113卷 / 5-6期

关键词：

Fluid dynamics; instabilities; Riemann curvature; AREA-PRESERVING DIFFEOMORPHISMS;

D O I：

10.1080/03091929.2018.1514038

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The instability of ideal non-divergent zonal flows on the sphere is determined numerically by the instability criterion of Arnold (Ann. Inst. Fourier 1966, 16, 319) for the sectional curvature. Zonal flows are unstable for all perturbations besides for a small set which are in approximate resonance. The planetary rotation is stable and the presence of rotation reduces the instability of perturbations.

引用

页码：594 / 601

页数：8

共 12 条

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