A thermal Green-Naghdi model with time dependent bathymetry and complete Coriolis force
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910907263614976 |
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| author | Holm, Darryl D. Street, Oliver D. |
| author_facet | Holm, Darryl D. Street, Oliver D. |
| contents | This paper extends the theoretical Euler-Poincaré framework for modelling ocean mixed layer dynamics. Through a symmetry-broken Lie group invariant variational principle, we derive a generalised Green-Naghdi equation with time dependent bathymetry, a complete Coriolis force, and inhomogeneity of the thermal buoyancy. The nature of the model derived here lends it a potential future application to wave dynamics generated by changes to the bathymetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12220 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A thermal Green-Naghdi model with time dependent bathymetry and complete Coriolis force Holm, Darryl D. Street, Oliver D. Atmospheric and Oceanic Physics Fluid Dynamics 37K58 (Primary) 76U60, 37N10 (Secondary) This paper extends the theoretical Euler-Poincaré framework for modelling ocean mixed layer dynamics. Through a symmetry-broken Lie group invariant variational principle, we derive a generalised Green-Naghdi equation with time dependent bathymetry, a complete Coriolis force, and inhomogeneity of the thermal buoyancy. The nature of the model derived here lends it a potential future application to wave dynamics generated by changes to the bathymetry. |
| title | A thermal Green-Naghdi model with time dependent bathymetry and complete Coriolis force |
| topic | Atmospheric and Oceanic Physics Fluid Dynamics 37K58 (Primary) 76U60, 37N10 (Secondary) |
| url | https://arxiv.org/abs/2502.12220 |