Modelling surface waves on shear current with quadratic depth-dependence
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912078599553024 |
|---|---|
| author | Curtin, Conor Ivanov, Rossen |
| author_facet | Curtin, Conor Ivanov, Rossen |
| contents | The currents in the ocean have a serious impact on ocean dynamics, since they affect the transport of mass and thus the distribution of salinity, nutrients and pollutants. In many physically important situations the current depends quadratic-ally on the depth. We consider a single layer of fluid and study the propagation of the surface waves in the presence of depth-dependent current with quadratic profile. We select the scale of parameters and quantities, which are typical for the Boussinesq propagation regime (long wave and small amplitude limit) and we also derive the well known KdV model for the surface waves interacting with current. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15209 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modelling surface waves on shear current with quadratic depth-dependence Curtin, Conor Ivanov, Rossen Fluid Dynamics Pattern Formation and Solitons 76B15, 76B25, 35Q53, 35Q35 The currents in the ocean have a serious impact on ocean dynamics, since they affect the transport of mass and thus the distribution of salinity, nutrients and pollutants. In many physically important situations the current depends quadratic-ally on the depth. We consider a single layer of fluid and study the propagation of the surface waves in the presence of depth-dependent current with quadratic profile. We select the scale of parameters and quantities, which are typical for the Boussinesq propagation regime (long wave and small amplitude limit) and we also derive the well known KdV model for the surface waves interacting with current. |
| title | Modelling surface waves on shear current with quadratic depth-dependence |
| topic | Fluid Dynamics Pattern Formation and Solitons 76B15, 76B25, 35Q53, 35Q35 |
| url | https://arxiv.org/abs/2410.15209 |