Interaction between a Solitary Wave and a Fixed Partially Submerged Body with Two Extended Porous Walls
Publication: Journal of Engineering Mechanics
Volume 147, Issue 7
Abstract
Approximate analytical solutions that can be applied effectively to describe the wave transformation of a solitary wave propagating past a partially submerged stationary body of rectangular shape with two attached side porous walls are introduced in this paper. Laboratory measurements of the free-surface elevation were also performed to validate the analytical predictions. The velocity potentials in the upstream and downstream of the fluid domain are formulated using the Fourier integral approach. Applying the boundary and matching conditions, including Darcy’s law–based porous wall conditions, and the concept of the orthogonality of eigenfunctions, the unknown coefficients are analytically derived. The results of free-surface elevations and hydrodynamic forces are presented. It is found that the transmitted wave profiles predicted from the present analytical model match well with the experimental data and other published numerical results, while the calculated reflected wave elevations are shown to slightly overestimate the wave peak. The physical parameters that affect the wave transformation and hydrodynamic forces on structures are investigated. With the addition of the extended porous walls, the overall reflection coefficient increases slightly for smaller amplitude waves; however, the overall transmission coefficient is reduced significantly for all wave conditions. The hydrodynamic force decreases with an increase in porous-effect parameters. An increase of the body draft or the body thickness can also enhance the reduction of the transmitted wave amplitude.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request (items include all experimental data and codes of analytical solutions developed in this study).
Acknowledgments
The authors wish to thank the US Department of Education for funding the lead author’s research through the Graduate Assistance in Areas of National Need (GAANN) fellowship (Project No. 51809).
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Published In
Journal of Engineering Mechanics
Volume 147 • Issue 7 • July 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: May 20, 2020
Accepted: Feb 21, 2021
Published online: May 11, 2021
Published in print: Jul 1, 2021
Discussion open until: Oct 11, 2021
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