FN Archimer Export Format PT J TI Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach BT AF SOKOLOVSKIY, Mikhail A. CARTON, Xavier FILYUSHKIN, Boris N. AS 1:1,2;2:3;3:2; FF 1:;2:;3:; C1 Russian Acad Sci, Inst Water Problems, 3 Gubkina St, Moscow 119333, Russia. Russian Acad Sci, Shirshov Inst Oceanol, 36 Nahimovskiy Prospekt, Moscow 117997, Russia. IUEM UBO, Lab Oceanog Phys & Spatiale, Rue Dumont DUrville, F-29280 Plouzane, France. C2 RUSSIAN ACAD SCI, RUSSIA PP SHIRSHOV OCEANOL INST, RUSSIA UBO, FRANCE UM LOPS IN WOS Cotutelle UMR DOAJ copubli-int-hors-europe IF 1.105 TC 5 UR https://archimer.ifremer.fr/doc/00695/80727/84558.pdf LA English DT Article DE ;quasigeostrophic model;vortex interaction;intrathermocline lens;point vortex AB The theory of point vortices is used to explain the interaction of a surface vortex with subsurface vortices in the framework of a three-layer quasigeostrophic model. Theory and numerical experiments are used to calculate the interaction between one surface and one subsurface vortex. Then, the configuration with one surface vortex and two subsurface vortices of equal and opposite vorticities (a subsurface vortex dipole) is considered. Numerical experiments show that the self-propelling dipole can either be captured by the surface vortex, move in its vicinity, or finally be completely ejected on an unbounded trajectory. Asymmetric dipoles make loop-like motions and remain in the vicinity of the surface vortex. This model can help interpret the motions of Lagrangian floats at various depths in the ocean. PY 2020 PD AUG SO Mathematics SN 2227-7390 PU Mdpi VL 8 IS 8 UT 000564736900001 DI 10.3390/math8081228 ID 80727 ER EF