Linear theory of wave generation by a moving bottom

Denys Dutykh, Frédéric Dias, Youen Kervella

Research output: Contribution to journalArticlepeer-review

51 Scopus citations


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. To cite this article: D. Dutykh et al., C. R. Acad. Sci. Paris, Ser. I 343 (2006).

Original languageBritish English
Pages (from-to)499-504
Number of pages6
JournalComptes Rendus Mathematique
Issue number7
StatePublished - 1 Oct 2006


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