Modon solutions in an N-layer quasi-geostrophic model

Modons, or dipolar vortices, are common and long-lived features of the upper ocean, consisting of a pair of 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...

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Bibliographic Details
Published in:arXiv.org 2024-04
Main Authors: Crowe, Matthew N, Johnson, Edward R
Format: Article
Language:English
Subjects:
Eigenvalues
Linear algebra
Multilayers
Vortices
Online Access:Get full text
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Summary:Modons, or dipolar vortices, are common and long-lived features of the upper ocean, consisting of a pair of 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 works by reducing 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.
ISSN:2331-8422
DOI:10.48550/arxiv.2404.07718