Linear theory of wave generation by a moving bottom

Denys Dutykh (1) , Frédéric Dias (1) , Youen Kervella (2)

1 CMLA - Centre de Mathématiques et de Leurs Applications
2 DYNECO - Unité Dynamiques des Écosystèmes Côtiers

The computation of long wave propagation through the ocean obviously depends on the initial condition. When the waves are generated by a moving bottom, a traditional approach consists in translating the ``frozen'' sea bed deformation to the free surface and propagating it. The present study shows the differences between the classical approach (passive generation) and the active generation where the bottom motion is included. The analytical solutions presented here exhibit some of the drawbacks of passive generation. The linearized solutions seem to be sufficient to consider the generation of water waves by a moving bottom.

Mots clés: water waves; tsunami generation; Cauchy-Poisson problem; linearized water waves problem

Domaines: Mécanique des fluides [physics.class-ph]; Dynamique des Fluides [physics.flu-dyn]; Physique Atmosphérique et Océanique [physics.ao-ph]; Physique Numérique [physics.comp-ph]; Océan, Atmosphère; Géophysique [physics.geo-ph]; Géophysique [physics.geo-ph]; Milieux et Changements globaux

Denys Dutykh, Frédéric Dias, Youen Kervella. Linear theory of wave generation by a moving bottom. Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2006, 343, pp.499-504. ⟨10.1016/j.crma.2006.09.016⟩. ⟨hal-00114954⟩