Dynamics of tsunami waves

Frédéric Dias (1) , Denys Dutykh (1)

1 CMLA - Centre de Mathématiques et de Leurs Applications

The life of a tsunami is usually divided into three phases: the generation (tsunami source), the propagation and the inundation. Each phase is complex and often described separately. A brief description of each phase is given. Model problems are identified. Their formulation is given. While some of these problems can be solved analytically, most require numerical techniques. The inundation phase is less documented than the other phases. It is shown that methods based on Smoothed Particle Hydrodynamics (SPH) are particularly well-suited for the inundation phase. Directions for future research are outlined.

Mots clés: dislocations; tsunamis; shallow-water equations; Boussinesq equations; breaking waves; bores

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Physique Atmosphérique et Océanique [physics.ao-ph]; Dynamique des Fluides [physics.flu-dyn]; Systèmes Solubles et Intégrables [nlin.SI]; Océan, Atmosphère; Géophysique [physics.geo-ph]; Géophysique [physics.geo-ph]; Milieux et Changements globaux; Océanographie

Frédéric Dias, Denys Dutykh. Dynamics of tsunami waves. Extreme Man-Made and Natural Hazards in Dynamics of Structures, May 2006, Opatija, Croatia. pp.201-224, ⟨10.1007/978-1-4020-5656-7_8⟩. ⟨hal-00113612v2⟩