Journal of the Meteorological Society of Japan. Ser. II
Online ISSN : 2186-9057
Print ISSN : 0026-1165
ISSN-L : 0026-1165
Notes and Correspondence
Symmetric Instability without Symmetry
Hirotada KANEHISA
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2005 Volume 83 Issue 1 Pages 129-134

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Abstract

When a basic flow with linear or axial symmetry has a region of negative potential vonicity (hereafter PV), such a disturbance with the same symmetry as the basic flow grows that converts the negative PV of the region into non-negative PV. This is the so-called symmetric instability.
In this note, the following is shown in a nondissipative adiabatic system. Irrespective of the symmetry, disturbances grow in the region of negative PV. That is, irrespective of the symmetry, a flow with negative PV is unstable. This statement is based on the conservation law of absolute circulation around a material closed curve on the isentropic surface.

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© 2005 by Meteorological Society of Japan
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