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Tsunami ascending in rivers as an undular bore
Authors:Yoshinobu Tsuji  Takashi Yanuma  Isao Murata  Chizuru Fujiwara
Institution:(1) Earthquake Research Institute, University of Tokyo, Yayoi 1-1-1, 113 Bunkyo-Ku, Tokyo, Japan
Abstract:At time of the 1983 Japan Sea tsunami, waves in the form of a bore ascended many rivers. In some cases, bores had the form of one initial wave with a train of smaller waves, and in other cases, such a wave train did not appear and only a step with a flat water surface behind was observed. In the present study, it is clarified that both undular-type and nonundular-type bores can be recognized as solutions of the KdV-Burger's equation which was introduced by Johnson in 1972. Numerically obtained analytical solutions and results of laboratory experiments are compared.
Keywords:Bore  undular bore  hydraulic jump  KdV-Burgers equation  nonlinear and dispersive wave with energy dissipation  riverwall planning  breaking waves  phase plane method  Runge-Kutta-Gill's method  amplification of tsunami soliton dispersion
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