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Isolated spheroidal geophysical vortices

AutorViúdez, Álvaro
Palabras claveAxisymmetric geophysical vortices
Cyclo-geostrophic balance
Isolated geophysical vortices
Solid-body rotation geophysical vortices
Spheroidal pressure anomaly gradients
Fecha de publicación2016
EditorTaylor & Francis
CitaciónGeophysical and Astrophysical Fluid Dynamics 110(1): 50-77 (2016)
ResumenThe steady flow of three-dimensional isolated axisymmetric baroclinic geophysical vortices in cyclo-geostrophic and hydrostatic balance with spheroidal pressure anomaly gradients is investigated through the analysis of three-parameter vortex families. The vortices have an inner core in near solid-body rotation and zero, or negligibly small, pressure anomaly gradient at the vortex boundary. Thus, these isolated vortices have zero amount of potential vorticity anomaly. As the vortex amplitude parameter a1 is increased in cyclones, static instability at some depth along the vortex vertical axis is reached before centrifugal instability occurs at the minimum of negative vertical vorticity at the surface vortex outer core. In anticyclones, as |a1| increases, centrifugal instability occurs before static instability at the vortex centre. The first vortex family analyzed, denoted V(p,q), is characterized by spheroidal pressure anomaly gradients F′(p,q;x) such that the first ⌊p⌋ (integer part of p) derivatives of F′′(p,q;x) at the vortex centre x=0, and the first ⌊q⌋ derivatives of F(p, q; x) at the vortex boundary x=1 are zero. For comparison purposes two other three-parameter vortex families are introduced, namely the exponential E and the hyperbolic tangent H vortex families. The relation between the parameter values in each vortex family leading to statically stable vortices is provided. The main static instability properties of the three vortex families are similar, but each vortex family has their own qualities which make them more or less appropriate to a particular application
Descripción28 pages, 13 figures, 3 appendix
Versión del editorhttp://dx.doi.org/10.1080/03091929.2015.1118474
Identificadoresdoi: 10.1080/03091929.2015.1118474
issn: 0309-1929
e-issn: 1029-0419
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