Modon solutions in an N-layer quasi-geostrophic model
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912125573660672 |
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| author | Crowe, Matthew N. Johnson, Edward R. |
| author_facet | Crowe, Matthew N. Johnson, Edward R. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07718 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modon solutions in an N-layer quasi-geostrophic model Crowe, Matthew N. Johnson, Edward R. Fluid Dynamics 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. |
| title | Modon solutions in an N-layer quasi-geostrophic model |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2404.07718 |