Generation of two-dimensional water waves by moving bottom disturbances - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IMA Journal of Applied Mathematics Année : 2014

Generation of two-dimensional water waves by moving bottom disturbances

Résumé

We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater object of a given shape which can be displaced according to a prescribed trajectory. We address the practical question of computing the wavemaker shape and trajectory generating a wave with prescribed characteristics. For the sake of simplicity we model the hydrodynamics by a generalized forced Benjamin-Bona-Mahony (BBM) equation. This practical problem is reformulated as a constrained nonlinear optimization problem. Additional constraints are imposed in order to fulfill various practical design requirements. Finally, we present some numerical results in order to demonstrate the feasibility and performance of the proposed methodology.
Fichier principal
Vignette du fichier
HN_DD_EZ-2014.pdf (423.98 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00752364 , version 1 (15-11-2012)
hal-00752364 , version 2 (30-11-2012)
hal-00752364 , version 3 (04-05-2013)
hal-00752364 , version 4 (12-01-2014)

Licence

Paternité - Pas d'utilisation commerciale - Partage selon les Conditions Initiales

Identifiants

Citer

Hayk Nersisyan, Denys Dutykh, Enrique Zuazua. Generation of two-dimensional water waves by moving bottom disturbances. IMA Journal of Applied Mathematics, 2014, 80 (4), pp.1235-1253. ⟨10.1093/imamat/hxu051⟩. ⟨hal-00752364v4⟩
571 Consultations
495 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More