Stability of filaments of uniform quasi-geostrophic potential vorticity
MetadataShow full item record
Altmetrics Handle Statistics
Altmetrics DOI Statistics
We analyse the linear stability of filaments of uniform potential vorticity with a horizontal axis in a quasi- geostrophic flow. For a single filament, the situation corresponds to the simplest three-dimensional shear zone in a rapidly rotating, continuously stably stratified fluid. Yet, this has not been formally addressed to our knowledge. We show that the filament is sensitive to the Kelvin-Helmholtz instability for perturbations in a finite range of streamwise wavenumbers 0 < k < kc, similarly to the classical situation of a two- dimensional strip of uniform vorticity. We also analyse the stability of a jet formed by two parallel filaments of opposite PV whose axes are located on the same horizontal plane as well as the stability of "hetonic" filaments. Hetonic filaments consist of a pair of opposite PV filaments located at different heights. These can be sensitive to baroclinic instabilities over a wide range of longitudinal wavenumbers.
Reinaud , J N 2020 , ' Stability of filaments of uniform quasi-geostrophic potential vorticity ' , Geophysical and Astrophysical Fluid Dynamics , vol. Latest Articles . https://doi.org/10.1080/03091929.2019.1704752
Geophysical and Astrophysical Fluid Dynamics
Copyright © 2020 Informa UK Limited, trading as Taylor & Francis Group. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1080/03091929.2019.1704752
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.