Abstract
The results of a theoretical analysis of the problem within the framework of the first approximation of shallow water theory and an experimental verification of the theoretical self-similar solutions are presented. The drowned and non-drowned regimes of pool coupling behind the step are considered. The theory is confirmed with respect to the types of waves, their propagation velocities and the characteristic flow depths. At the same time, in the experiment we observed undulations whose description calls for more detailed mathematical modeling.
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Bukreev, V.I., Gusev, A.V. & Ostapenko, V.V. Breakdown of a Discontinuity of the Free Fluid Surface over a Bottom Step in a Channel. Fluid Dynamics 38, 889–899 (2003). https://doi.org/10.1023/B:FLUI.0000015230.25955.7b
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DOI: https://doi.org/10.1023/B:FLUI.0000015230.25955.7b