Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach
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 confi...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-07-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/8/1228 |
| _version_ | 1827712283560640512 |
|---|---|
| author | Mikhail A. Sokolovskiy Xavier J. Carton Boris N. Filyushkin |
| author_facet | Mikhail A. Sokolovskiy Xavier J. Carton Boris N. Filyushkin |
| author_sort | Mikhail A. Sokolovskiy |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T18:11:54Z |
| format | Article |
| id | doaj.art-4728e267d5d84264ad1b13a4b7fb63c1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:11:54Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4728e267d5d84264ad1b13a4b7fb63c12023-11-20T07:58:58ZengMDPI AGMathematics2227-73902020-07-0188122810.3390/math8081228Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex ApproachMikhail A. Sokolovskiy0Xavier J. Carton1Boris N. Filyushkin2Water Problems Institute, Russian Academy of Science, 3 Gubkina Street, 119333 Moscow, RussiaLaboratoire d’Océanographie Physique et Spatiale, IUEM/UBO, Rue Dumont D’Urville, 29280 Plouzané, FranceShirshov Institute of Oceanology, Russian Academy of Science, 36 Nahimovskiy Prospekt, 117997 Moscow, RussiaThe 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.https://www.mdpi.com/2227-7390/8/8/1228quasigeostrophic modelvortex interactionintrathermocline lenspoint vortex |
| spellingShingle | Mikhail A. Sokolovskiy Xavier J. Carton Boris N. Filyushkin Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach Mathematics quasigeostrophic model vortex interaction intrathermocline lens point vortex |
| title | Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach |
| title_full | Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach |
| title_fullStr | Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach |
| title_full_unstemmed | Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach |
| title_short | Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach |
| title_sort | mathematical modeling of vortex interaction using a three layer quasigeostrophic model part 1 point vortex approach |
| topic | quasigeostrophic model vortex interaction intrathermocline lens point vortex |
| url | https://www.mdpi.com/2227-7390/8/8/1228 |
| work_keys_str_mv | AT mikhailasokolovskiy mathematicalmodelingofvortexinteractionusingathreelayerquasigeostrophicmodelpart1pointvortexapproach AT xavierjcarton mathematicalmodelingofvortexinteractionusingathreelayerquasigeostrophicmodelpart1pointvortexapproach AT borisnfilyushkin mathematicalmodelingofvortexinteractionusingathreelayerquasigeostrophicmodelpart1pointvortexapproach |