N-symmetric interaction of N hetons. II: analysis of the case of arbitrary N

Konstantin Koshel; Mikhail Sokolovkiy; David Gerard Dritschel; Jean Noel Reinaud

doi:10.3390/fluids9060122

N-symmetric interaction of N hetons. II: analysis of the case of arbitrary N

Konstantin Koshel, Mikhail Sokolovkiy, David Gerard Dritschel, Jean Noel Reinaud

Research output: Contribution to journal › Article › peer-review

Abstract

This paper seeks and examines N-symmetric vortical solutions of the two-layer geostrophic model for the special case when the vortices (or eddies) have vanishing summed strength (circulation anomaly). This study is an extension [Sokolovskiy et al. Phys. Fluids 2020, 32, 09660], where the general formulation for arbitrary N was given, but the analysis was only carried out for N=2. Here, families of stationary solutions are obtained and their properties, including asymptotic ones, are investigated in detail. From the point of view of geophysical applications, the results may help interpret the propagation of thermal anomalies in the oceans.

Original language	English
Article number	122
Number of pages	30
Journal	Fluids
Volume	9
Issue number	6
DOIs	https://doi.org/10.3390/fluids9060122
Publication status	Published - 24 May 2024

Keywords

Vortex dynamics
Quasi-geostrophy
Point vortex
Heton
Choreography

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10.3390/fluids9060122Licence: CC BY

Koshel-2024-N-Symmetric-Fluids-09-00122-CCBY
Copyright: © 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/4.0/).
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Cite this

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title = "N-symmetric interaction of N hetons. II: analysis of the case of arbitrary N",

abstract = "This paper seeks and examines N-symmetric vortical solutions of the two-layer geostrophic model for the special case when the vortices (or eddies) have vanishing summed strength (circulation anomaly). This study is an extension [Sokolovskiy et al. Phys. Fluids 2020, 32, 09660], where the general formulation for arbitrary N was given, but the analysis was only carried out for N=2. Here, families of stationary solutions are obtained and their properties, including asymptotic ones, are investigated in detail. From the point of view of geophysical applications, the results may help interpret the propagation of thermal anomalies in the oceans.",

keywords = "Vortex dynamics, Quasi-geostrophy, Point vortex, Heton, Choreography",

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T2 - analysis of the case of arbitrary N

AU - Koshel, Konstantin

AU - Sokolovkiy, Mikhail

AU - Dritschel, David Gerard

AU - Reinaud, Jean Noel

PY - 2024/5/24

Y1 - 2024/5/24

N2 - This paper seeks and examines N-symmetric vortical solutions of the two-layer geostrophic model for the special case when the vortices (or eddies) have vanishing summed strength (circulation anomaly). This study is an extension [Sokolovskiy et al. Phys. Fluids 2020, 32, 09660], where the general formulation for arbitrary N was given, but the analysis was only carried out for N=2. Here, families of stationary solutions are obtained and their properties, including asymptotic ones, are investigated in detail. From the point of view of geophysical applications, the results may help interpret the propagation of thermal anomalies in the oceans.

AB - This paper seeks and examines N-symmetric vortical solutions of the two-layer geostrophic model for the special case when the vortices (or eddies) have vanishing summed strength (circulation anomaly). This study is an extension [Sokolovskiy et al. Phys. Fluids 2020, 32, 09660], where the general formulation for arbitrary N was given, but the analysis was only carried out for N=2. Here, families of stationary solutions are obtained and their properties, including asymptotic ones, are investigated in detail. From the point of view of geophysical applications, the results may help interpret the propagation of thermal anomalies in the oceans.

KW - Vortex dynamics

KW - Quasi-geostrophy

KW - Point vortex

KW - Heton

KW - Choreography

U2 - 10.3390/fluids9060122

DO - 10.3390/fluids9060122

M3 - Article

SN - 2311-5521

VL - 9

JO - Fluids

JF - Fluids

IS - 6

M1 - 122

ER -

N-symmetric interaction of N hetons. II: analysis of the case of arbitrary N

Abstract

Keywords

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