FN Archimer Export Format PT J TI The Dynamics of Quasigeostrophic Lens-Shaped Vortices BT AF STORER, Benjamin POULIN, Francis J. MENESGUEN, Claire AS 1:1;2:1;3:2; FF 1:;2:;3:PDG-ODE-LOPS-OH; C1 Univ Waterloo, Dept Appl Math, Waterloo, ON, Canada. UBO, Lab Oceanog Phys & Spatiale, UMR 6523, CNRS,IFREMER,IRD, Plouzane, France. C2 UNIV WATERLOO, CANADA IFREMER, FRANCE SI BREST SE PDG-ODE-LOPS-OH UM LOPS IN WOS Ifremer jusqu'en 2018 copubli-int-hors-europe IF 3.389 TC 6 UR https://archimer.ifremer.fr/doc/00448/55987/57453.pdf LA English DT Article AB The stability of lens-shaped vortices is revisited in the context of an idealized quasigeostrophic model. We compute the stability characteristics with higher accuracy and for a wider range of Burger numbers (Bu) than what was previously done. It is found that there are four distinct Bu regions of linear instability. Over the primary region of interest (0.1 < Bu < 10), we confirm that the first and second azimuthal modes are the only linearly unstable modes, and they are associated with vortex tilting and tearing, respectively. Moreover, the most unstable first azimuthal mode is not precisely captured by the linear stability analysis because of the extra condition that is imposed at the vortex center, and accurate calculations of the second azimuthal mode require higher resolution than was previously considered. We also study the nonlinear evolution of lens-shaped vortices in the context of this model and present the following results. First, vortices with a horizontal length scale a little less than the radius of deformation (Bu > 1) are barotropically unstable and develop a wobble, whereas those with a larger horizontal length scale (Bu < 1) are baroclinically unstable and often split. Second, the transfer of energy between different horizontal scales is quantified in two typical cases of barotropic and baroclinic instability. Third, after the instability the effective Bu is closer to unity. PY 2018 PD APR SO Journal Of Physical Oceanography SN 0022-3670 PU Amer Meteorological Soc VL 48 IS 4 UT 000434940100011 BP 937 EP 957 DI 10.1175/JPO-D-17-0039.1 ID 55987 ER EF