# Symmetric and asymmetric inertial instability of zonal jets on the $f$ -plane with complete Coriolis force

@article{Tort2016SymmetricAA, title={Symmetric and asymmetric inertial instability of zonal jets on the \$f\$ -plane with complete Coriolis force}, author={Marine Tort and Bruno Ribstein and Vladimir Zeitlin}, journal={Journal of Fluid Mechanics}, year={2016}, volume={788}, pages={274 - 302} }

Symmetric and asymmetric inertial instability of the westerly mid-latitude barotropic Bickley jet is analysed without the traditional approximation which neglects the vertical component of the Coriolis force, as well as the contribution of the vertical velocity to the latter. A detailed linear stability analysis of the jet at large Rossby numbers on the non-traditional $f$ -plane is performed for long waves in both the two-layer rotating shallow-water and continuously stratified Boussinesq…

## 9 Citations

Understanding inertial instability on the f-plane with complete Coriolis force

- Physics
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Understanding inertial instability on the f -plane with complete Coriolis force Vladimir Zeitlin Laboratory of Dynamical Meteorology, University P. and M. Curie and Ecole Normale Sup´erieure, Paris,…

Equatorial inertial instability with full Coriolis force

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The zonally symmetric inertial instability of oceanic near-equatorial flows is studied through high-resolution numerical simulations. In homogeneous upper layers, the instability of surface-confined…

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Abstract We examine stability of the polar vortex that initiates planetary-scale westerly (west to east) atmospheric flow that encircles the pole in middle or high latitude of a planet. In our…

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- Physics
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Using the salient properties of the flow observed in the equatorial Pacific as a guide, an asymptotic procedure is applied to the Euler equation written in a suitable rotating frame. Starting from…

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- PhysicsPhysics of Fluids
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It is shown that the classical symmetric instability drastically changes, if the usually neglected vertical component of the Coriolis force and the contribution of the vertical velocity into its…

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- Acta Oceanologica Sinica
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An investigation of equatorial near-inertial wave dynamics under complete Coriolis parameters is performed in this paper. Starting from the basic model equations of oceanic motions, a Korteweg de…

Multi-scale Methods for Geophysical Flows

- GeologyMathematics of Planet Earth
- 2019

Geophysical flows comprise a broad range of spatial and temporal scales, from planetary- to meso-scale and microscopic turbulence regimes. The relation of scales and flow phenomena is essential in…

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