Wave Forces Exerted on a Submerged Horizontal Plate over an Uneven Bottom
Publication: Journal of Engineering Mechanics
Volume 144, Issue 6
Abstract
Monochromatic wave scattering on a submerged horizontal plate over variable topographies is studied analytically based on the modified matched eigenfunction expansion method. Under the assumption of the shallow flow over a slowly varying bottom, an approximate solution of the flow in the inner region bounded by a submerged plate and a plane slope is presented based on the potential flow theory and perturbation method. The analytical solution is validated by existing analytical results and experimental data on flat bottoms. Parameter analysis is carried out for three types of variable topographies. The effects of the bottom profile on wave reflection and wave loads are investigated. It is found that there are significant influences on wave reflection due to uneven bottoms. Smaller maximum reflection coefficient appears in the following cases: larger relative slope heights for simple slopes, larger relative hump heights for humped bottoms, and larger relative hump heights for combined bottoms. Compared with the change of wave reflection coefficient, the shift of wave loads over the three types of variable topography seem not to be significant.
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Acknowledgments
This research was supported by the National Science Foundation of China (No. 11632012), the National Basic Research Program of China (973 Program, No. 2013CB036100), and the State Key Laboratory of Ocean Engineering (SJTU, China).
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 6 • June 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Mar 15, 2017
Accepted: Nov 9, 2017
Published online: Mar 26, 2018
Published in print: Jun 1, 2018
Discussion open until: Aug 26, 2018
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