A Nonsymmetric Equatorial Inertial Instability

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  • 1 Physical Dynamics, Inc., P.O. Box 3027, Bellevue, WA 98009
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Abstract

Inertial instabilities on the equatorial beta-plane may take the form of a zonally nonsymmetric disturbance while preserving their centrifugal character. Numerical experiments at finite zonal wavenumber suggest a preferred mode of instability with zonal wavenumber between the symmetric value and a short-wave cutoff in linear cross-equatorial shear. Zonal nonsymmetric results in a slight reduction of the marginally stable shear in the presence of second-order diffusion.

Abstract

Inertial instabilities on the equatorial beta-plane may take the form of a zonally nonsymmetric disturbance while preserving their centrifugal character. Numerical experiments at finite zonal wavenumber suggest a preferred mode of instability with zonal wavenumber between the symmetric value and a short-wave cutoff in linear cross-equatorial shear. Zonal nonsymmetric results in a slight reduction of the marginally stable shear in the presence of second-order diffusion.

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