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A huge tsunami may cause devastating damage not only on shores of neighboring countries but also on shores of distant
countries. When tsunamis are triggered and propagate a long distance from the source area, those evolve into a train of
waves due to wave dispersion effect. Therefore, the transoceanic propagation of tsunamis should be modeled by considering
dispersion effects adequately. It may be computationally too impractical, however, to solve the Boussinesq equations or Navier-
Stokes equations directly for calculation purposes because those models require very fine grid system. Thus, the linear shallow-
water equations have been used to simulate transoceanic tsunami propagation in several existing models. In this study, a modified
finite difference scheme is proposed by adding terms to the linear shallow-water equations in order to represent a varying water
depth. First, the governing equations are slightly modified to consider the effects of a bottom slope. The numerical dispersion of
the proposed model replaces the physical dispersion of the governing equations. The present model is then verified by applying it
to tsunami propagation over an uneven bottom. Numerical results are compared with available numerical data from other models
and performance of the model is analyzed in detail.
Taemin Ha has completed his Ph.D. at the age of 31 years and postdoctoral studies from Hanyang University. He is the postdoctoral scientist of
KIOST (Korea Institute of Ocean Science & Technology), a national institute of Korea. He published more than 20 papers in reputed journals.
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