Crowe, Matthew N;
Johnson, Edward R;
(2024)
Modon solutions in an N-layer
quasi-geostrophic model.
Journal of Fluid Mechanics
, 994
, Article R1. 10.1017/jfm.2024.619.
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Abstract
Modons, or dipolar vortices, are common and long-lived features of the upper ocean, consisting of a pair of counter-rotating monopolar vortices moving through self-advection. Such structures remain stable over long times and may be important for fluid transport over large distances. Here we present a semi-analytical method for finding fully nonlinear modon solutions in a multi-layer quasi-geostrophic model with arbitrarily many layers. Our approach is to reduce the problem to a multi-parameter linear eigenvalue problem which can be solved using numerical techniques from linear algebra. The method is shown to replicate previous results for one and two-layer models and is applied to a three-layer model to find a solution describing a mid-depth propagating, topographic vortex.
| Type: | Article |
|---|---|
| Title: | Modon solutions in an N-layer quasi-geostrophic model |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/jfm.2024.619 |
| Publisher version: | https://doi.org/10.1017/jfm.2024.619 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. Copyright © The Author(s), 2024. Published by Cambridge University Press. |
| Keywords: | Geophysical and Geological Flows: Quasi-geostrophic flows Mathematical Foundations: Computational methods Vortex Flows: Vortex dynamics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10193177 |
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