| Autor: |
Bonneton, Philippe, Chazel, Florent, Lannes, David, Marche, Fabien, Tissier, Marion |
| Rok vydání: |
2010 |
| Předmět: |
|
| Zdroj: |
J.Comput.Phys.230:1479-1498,2011 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.jcp.2010.11.015 |
| Popis: |
The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more suitable for numerical resolution. An hybrid finite volume and finite difference splitting approach is then proposed. The hyperbolic part of the equations is handled with a high-order finite volume scheme allowing for breaking waves and dry areas. The dispersive part is treated with a classical finite difference approach. Extensive numerical validations are then performed in one horizontal dimension, relying both on analytical solutions and experimental data. The results show that our approach gives a good account of all the processes of wave transformation in coastal areas: shoaling, wave breaking and run-up. |
| Databáze: |
arXiv |
| Externí odkaz: |
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