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Article

Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach

1
Water Problems Institute, Russian Academy of Science, 3 Gubkina Street, 119333 Moscow, Russia
2
Shirshov Institute of Oceanology, Russian Academy of Science, 36 Nahimovskiy Prospekt, 117997 Moscow, Russia
3
Laboratoire d’Océanographie Physique et Spatiale, IUEM/UBO, Rue Dumont D’Urville, 29280 Plouzané, France
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(8), 1228; https://doi.org/10.3390/math8081228
Received: 2 July 2020 / Revised: 16 July 2020 / Accepted: 24 July 2020 / Published: 26 July 2020
(This article belongs to the Special Issue Vortex Dynamics: Theory and Application to Geophysical Flows)
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. View Full-Text
Keywords: quasigeostrophic model; vortex interaction; intrathermocline lens; point vortex quasigeostrophic model; vortex interaction; intrathermocline lens; point vortex
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MDPI and ACS Style

Sokolovskiy, M.A.; Carton, X.J.; Filyushkin, B.N. Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach. Mathematics 2020, 8, 1228. https://doi.org/10.3390/math8081228

AMA Style

Sokolovskiy MA, Carton XJ, Filyushkin BN. Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach. Mathematics. 2020; 8(8):1228. https://doi.org/10.3390/math8081228

Chicago/Turabian Style

Sokolovskiy, Mikhail A., Xavier J. Carton, and Boris N. Filyushkin 2020. "Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach" Mathematics 8, no. 8: 1228. https://doi.org/10.3390/math8081228

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