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Comparison between three-dimensional linear and nonlinear tsunami generation models

  • Youen Kervella
  • Denys Dutykh
  • Frédéric DiasEmail author
Original Article

Abstract

The modeling of tsunami generation is an essential phase in understanding tsunamis. For tsunamis generated by underwater earthquakes, it involves the modeling of the sea bottom motion as well as the resulting motion of the water above. A comparison between various models for three-dimensional water motion, ranging from linear theory to fully nonlinear theory, is performed. It is found that for most events the linear theory is sufficient. However, in some cases, more-sophisticated theories are needed. Moreover, it is shown that the passive approach in which the seafloor deformation is simply translated to the ocean surface is not always equivalent to the active approach in which the bottom motion is taken into account, even if the deformation is supposed to be instantaneous.

Keywords

Tsunami generation Finite-volume method Boundary element method Water waves Potential flow Nonlinear shallow water equations 

PACS

91.30.Nw 92.10.hl 92.10.H- 47.11.Df 47.11.Hj 47.15.km 47.35.Bb 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.IFREMER, Laboratoire DYNECO/PHYSEDPlouzanéFrance
  2. 2.CMLA, ENS CachanCNRS, PRES UniverSudCachanFrance

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