Open-channel waves generated by propagation of a discontinuous wave over a bottom step |
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Authors: | A V Gusev V V Ostapenko A A Malysheva I A Malysheva |
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Institution: | (1) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090 |
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Abstract: | This paper presents the results of theoretical and experimental studies of open-channel waves generated by the propagation
of a discontinuous dam-break wave over a bottom step. The cases where the initial tailwater level is higher than the step
height (the step is under water) and where this value is smaller than the step height (at the initial time, water is absent
on the step) are considered. Exact solutions are constructed using modified first-approximation equations of shallow-water
theory, which admit the propagation of discontinuous waves in a dry channel. On the stationary hydraulic jump formed above
the bottom step, the total free-stream energy is assumed to be conserved. These solutions agree with experimental data on
various parameters (types of waves, wave propagation velocity, asymptotic depths behind the wave fronts).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 1, pp. 31–44, January–February, 2008. |
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Keywords: | discontinuous wave bottom step shallow-water equations experimental data |
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