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Wave flows induced by lifting of a rectangular beam partly immersed in shallow water

Published online by Cambridge University Press:  07 March 2017

Vladimir V. Ostapenko Open the ORCID record for Vladimir V. Ostapenko [Opens in a new window]  and
Olyana A. Kovyrkina Open the ORCID record for Olyana A. Kovyrkina [Opens in a new window]
Vladimir V. Ostapenko*
Affiliation:
Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia Novosibirsk State University, Novosibirsk, 630090, Russia
Olyana A. Kovyrkina
Affiliation:
Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia
*
†Email address for correspondence: [email protected]
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Abstract

Flows induced by vertical lifting of a rectangular beam partly immersed into shallow water in a rectangular prismatic channel with a horizontal bottom are studied within the framework of the long-wave approximation. The beam width coincides with the channel width and the lower and upper planes of the beam are parallel to the channel bottom. The lifting process in the general case consists of three stages. At the first stage, the lower surface of the beam is completely located in the liquid, which ascends following the beam under the action of hydrostatic pressure. At the second stage, the edges of the lower surface of the beam leave the water medium, the wetted part of the beam becomes smaller, and the liquid under this part of the beam move upward. At the beginning of the third stage, the beam is separated from water; as a result, liquid lifting that occurred at the second stage leads to the formation of two diverging waves. The liquid flow in the domain adjacent to the lower surface of the beam is calculated analytically, while the liquid flow outside this domain is obtained by means of numerical calculations by the CABARET (compact accurately boundary-adjusting high-resolution technique) scheme, which provides the second order of accuracy on smooth solutions.

JFM classification

Geophysical and Geological Flows: Gravity currents Geophysical and Geological Flows: Shallow water flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 816 , 10 April 2017 , pp. 442 - 467
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Copyright
© 2017 Cambridge University Press 

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