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

Mikhail A. Sokolovskiy, Xavier J. Carton and Boris N. Filyushkin
Additional contact information
Mikhail A. Sokolovskiy: Water Problems Institute, Russian Academy of Science, 3 Gubkina Street, 119333 Moscow, Russia
Xavier J. Carton: Laboratoire d’Océanographie Physique et Spatiale, IUEM/UBO, Rue Dumont D’Urville, 29280 Plouzané, France
Boris N. Filyushkin: Shirshov Institute of Oceanology, Russian Academy of Science, 36 Nahimovskiy Prospekt, 117997 Moscow, Russia

Mathematics, 2020, vol. 8, issue 8, 1-13

Abstract: 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.

Keywords: quasigeostrophic model; vortex interaction; intrathermocline lens; point vortex (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/8/1228/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/8/1228/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:8:p:1228-:d:389941

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().