Geometric Mechanics of the Vertical Slice Model
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914676955152384 |
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| author | Holm, Darryl D. Hu, Ruiao Street, Oliver D. |
| author_facet | Holm, Darryl D. Hu, Ruiao Street, Oliver D. |
| contents | The goals of the present work are to: (i) investigate the dynamics of oceanic frontogenesis by taking advantage of the geometric mechanics underlying the class of Vertical Slice Models (VSMs) of ocean dynamics; and (ii) illustrate the versatility and utility of deterministic and stochastic variational approaches by deriving several variants of wave-current interaction models which describe the effects of internal waves propagating within a vertical planar slice embedded in a 3D region of constant horizontal gradient of buoyancy in the direction transverse to the vertical plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_02602 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometric Mechanics of the Vertical Slice Model Holm, Darryl D. Hu, Ruiao Street, Oliver D. Fluid Dynamics Mathematical Physics The goals of the present work are to: (i) investigate the dynamics of oceanic frontogenesis by taking advantage of the geometric mechanics underlying the class of Vertical Slice Models (VSMs) of ocean dynamics; and (ii) illustrate the versatility and utility of deterministic and stochastic variational approaches by deriving several variants of wave-current interaction models which describe the effects of internal waves propagating within a vertical planar slice embedded in a 3D region of constant horizontal gradient of buoyancy in the direction transverse to the vertical plane. |
| title | Geometric Mechanics of the Vertical Slice Model |
| topic | Fluid Dynamics Mathematical Physics |
| url | https://arxiv.org/abs/2309.02602 |