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


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.


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


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).

Stoker J.J. 1957. Water Waves. Interscience, New York.

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.