| Autor: |
Sergey Dremov, Dmitry Kachulin, Alexander Dyachenko |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Fluids, Vol 7, Iss 6, p 204 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2311-5521 |
| DOI: |
10.3390/fluids7060204 |
| Popis: |
In this paper we propose two Hamiltonian models to describe two-dimensional deep water waves propagating on the surface of an ideal incompressible three-dimensional fluid. The idea is based on taking advantage of the Zakharov equation for one-dimensional waves which can be written in the form of so-called compact equations. We generalize these equations to the case of two-dimensional waves. As a test of our models, we perform numerical simulations of the dynamics of standing waves in a channel with smooth vertical walls. The results obtained in the proposed models are comparable, indicating that the models are similar to the original Zakharov equation. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
