This article is cited in 3 papers

Wave flows initiated by vertical lifting of a rectangular beam from shallow water

V. V. Kuznetsova^ab, V. V. Ostapenko<sup>ab

a</sup> Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
^b Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: The problem of flows initiated by vertical lifting of a rectangular beam partially submerged in shallow water filling a rectangular prismatic channel with a horizontal bottom is studied in the long-wavelength approximation. The width of the beam is equal to the channel width, and its upper and lower planes are parallel to the channel bottom. In the first stage of the flow, the lower surface of the low beam is completely submerged in the liquid, which is lifted after it by hydrostatic pressure. Conditions for the well-posedness of this problem are obtained, and solutions describing the liquid flow in the region adjacent to the bottom surface of the beam and in outer regions with a free upper boundary are constructed for different laws of lifting of the beam.

Keywords: vertical lifting of beam from shallow water, long-wavelength approximation, numerical simulation of external flow.

UDC: 519.63, 532.3

Received: 21.10.2014

DOI: 10.15372/PMTF20150508

 English version: Journal of Applied Mechanics and Technical Physics, 2015, 56:5, 823–830

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