TSUNAMI RUN-UP ON THE HORIZONTAL BEACH

Igor Shugan, Hwung-Hweng Hwung, Ray-Yeng Yang

Abstract


Tsunami run-up on the flat horizontal beach is studied by using the Benney shallow water equations. The dam-breaking flow includes vortexes, vertical shear flow and dissipation of momentum and energy on the front due to bore breaking. Propagating of hydrodynamics bores with breaking is analyzed by the mass, momentum and energy relations on the shock wave. Non dissipative wave front propagates faster than classical bore, while taking into account the dissipation and wave breaking leads to slowing of the wave front.

Keywords


tsunami; run-up; dam break; Benney equation; shallow water

References


Crespo A., Gómez-Gesteira M. and Dalrymple R. 2008. Modeling dam break behavior over a wet bed by a SPH technique. Journal of waterway. ASCE, December, pp 313-320.

Lebedev, Manin. 1980. The Benny equations of long waves II. The Lax representation and the conservation laws, Boundary-value problems of mathematical physics and related problems of function theory. Part 12, Zap. Nauchn. Sem. LOMI, 96, "Nauka", Leningrad. Otdel., Leningrad, pp 169-178

Ritter. 1892. Die Fortpflanzung de Wasserwellen. Zeitschrift Verein Deutscher Ingenieure, 36(33), 947-954 (in German).

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