HAL : hal-00637102, version 2

arXiv : 1110.6635

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v1 (30-10-2011)

v2 (23-12-2011)

Dispersive waves generated by an underwater landslide

Denys Dutykh (  Auteur correspondant ) 1, Dimitrios Mitsotakis 2, Sonya Beysel 3, Nina Shokina 3

(30/10/2011)

In this work we study the generation of water waves by an underwater sliding mass. The wave dynamics are assumed to fell into the shallow water regime. However, the characteristic wavelength of the free surface motion is generally smaller than in geophysically generated tsunamis. Thus, dispersive effects need to be taken into account. In the present study the fluid layer is modeled by the Peregrine system modified appropriately and written in conservative variables. The landslide is assumed to be a quasi-deformable body of mass whose trajectory is completely determined by its barycenter motion. A differential equation modeling the landslide motion along a curvilinear bottom is obtained by projecting all the forces acting on the submerged body onto a local moving coordinate system. One of the main novelties of our approach consists in taking into account curvature effects of the sea bed.

1 :	Laboratoire de Mathématiques (LAMA)
	CNRS : UMR5127 – Université de Savoie
2 :	Institute for Mathematics and its Applications (IMA)
	University of Minnesota
3 :	Institute of Computational Technologies
	Russian Academy of Science

Domaine

:

Physique/Mécanique/Mécanique des fluides Sciences de l'ingénieur/Mécanique/Mécanique des fluides Physique/Physique/Géophysique Planète et Univers/Sciences de la Terre/Géophysique Sciences de l'environnement/Milieux et Changements globaux Physique/Physique/Physique Atmosphérique et Océanique

hal-00637102, version 2

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Contributeur : Denys Dutykh <>

Soumis le : Vendredi 23 Décembre 2011, 10:10:25

Dernière modification le : Vendredi 23 Décembre 2011, 21:22:32