Water waves generated by a moving bottom

Denys Dutykh (1) , Frédéric Dias (1)

1 CMLA - Centre de Mathématiques et de Leurs Applications

Tsunamis are often generated by a moving sea bottom. This paper deals with the case where the tsunami source is an earthquake. The linearized water-wave equations are solved analytically for various sea bottom motions. Numerical results based on the analytical solutions are shown for the free-surface profiles, the horizontal and vertical velocities as well as the bottom pressure.

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

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Dynamique des Fluides [physics.flu-dyn]; Physique Atmosphérique et Océanique [physics.ao-ph]

Denys Dutykh, Frédéric Dias. Water waves generated by a moving bottom. Anjan Kundu. Tsunami and Nonlinear Waves, Springer Berlin Heidelberg, pp.65-95, 2007, 978-3-540-71256-5. ⟨10.1007/978-3-540-71256-5_4⟩. ⟨hal-00115875⟩