Comparison between three-dimensional linear and nonlinear tsunami generation models

Type Article
Date 2007-07
Language English
Author(s) Kervella Youen2, Dutykh Denys1, Dias Frédéric1
Affiliation(s) 1 : ENS Cachan, CMLA, CNRS, PRES Univ Sud, F-94230 Cachan, France.
2 : IFREMER, Lab DYNECO PHYSED, F-29280 Plouzane, France.
Source Theoretical and Computational Fluid Dynamics (0935-4964) (Springer), 2007-07 , Vol. 21 , N. 4 , P. 245-269
DOI 10.1007/s00162-007-0047-0
WOS© Times Cited 49
Keyword(s) Nonlinear shallow water equations, Potential flow, Water waves, Boundary element method, Finite volume method, Tsunami generation
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.
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