Three-Dimensional ``Pancake'' Vortices

Details Three-Dimensional ``Pancake'' Vortices Three-Dimensional ``Pancake'' Vortices

Nov 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aps..dfd.jh001m&link_type=abstract

American Physical Society, Division of Fluid Dynamics 56th Annual Meeting, November 23-25, 2003, East Rutherford, New Jersey, ME

Physics

Fluid Dynamics

Scientific paper

Strongly rotating and/or stratified flows are common in geophysics and astrophysics. These flows often contain vortices (eg., Gulf stream rings, Red Spots, ozone holes) that are long-lived compared to other types of vortices, ie, they survive several hundreds or thousands of turn-around times. Various 2D approximations (eg., shallow-water, quasigeostrophic) have been used to describe these vortices, but many important features of the vortices and their dynamics are not captured correctly. Using 3D numerical simulation and asymptotics we have compute directly 3D vortices and determined how they primary and secondary velocities, interactions and shapes (often flattened ``pancakes'') scale with stratification (Brunt-Vaisala frequency) and rotation (Rossby number). We show that most of the vortex lines associated with a pancake vortex form compact, closed dipolar loops rather than extending to infinity. This leads to weak interactions between vortices at different heights in an ocean, atmosphere or planetary accretion disk.

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