Dispersive waves generated by an underwater landslide

Denys Dutykh, Dimitrios Mitsotakis, Sonya Beisel, Nina Shokina

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

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.

Original languageBritish English
Title of host publicationNumerical Methods for Hyperbolic Equations
Subtitle of host publicationTheory and Appl., An Int. Conf. to Honour Professor E.F. Toro - Proc. of the Int. Conf. on Numerical Methods for Hyperbolic Equations: Theory and Appl.
Pages245-250
Number of pages6
StatePublished - 2013
EventInternational Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications - Santiago de Compostela, Spain
Duration: 4 Jul 20119 Jul 2011

Publication series

NameNumerical Methods for Hyperbolic Equations: Theory and Appl., An Int. Conf. to Honour Professor E.F. Toro - Proc. of the Int. Conf. on Numerical Methods for Hyperbolic Equations: Theory and Appl.

Conference

ConferenceInternational Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications
Country/TerritorySpain
CitySantiago de Compostela
Period4/07/119/07/11

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