TY - GEN

T1 - Dispersive waves generated by an underwater landslide

AU - Dutykh, Denys

AU - Mitsotakis, Dimitrios

AU - Beisel, Sonya

AU - Shokina, Nina

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84870491174&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84870491174

SN - 9780415621502

T3 - Numerical 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.

SP - 245

EP - 250

BT - Numerical Methods for Hyperbolic Equations

T2 - International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications

Y2 - 4 July 2011 through 9 July 2011

ER -