Boussinesq Models with Moving Boundaries and Their Applicability to Waves Generated by Lateral Oscillation and Bottom Deformation
Publication: Journal of Hydraulic Engineering
Volume 149, Issue 8
Abstract
This paper presents analytical solutions based on Boussinesq models with moving boundaries and their applicability to the phenomena of water waves: sloshing in a rectangular tank on an oscillation table generated by lateral moving boundaries and tsunami generation by a moving bottom. In the application to sloshing, the linear solutions in Boussinesq and hydrostatic models were derived, and their characteristics were examined by comparing them with experimental results. It was shown that the result for the Boussinesq models was in close agreement with measurements for high wave numbers. In the application to tsunami generation, linear solutions were compared with numerical simulation results. The linear solutions with the effect of vertical acceleration on the bottom and across the depth improved the reproducibility of the wave profiles. The reproducibility of the linear solutions was confirmed to be good, except for the case of faster bottom motion with linear temporal change. These analytical solutions will be useful to engineers in understanding the phenomena considered.
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Data Availability Statement
All data that support the findings of this study are available from the corresponding author upon reasonable request. The code required to reproduce these findings cannot be shared at this time as it forms part of an ongoing study.
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Published In
Journal of Hydraulic Engineering
Volume 149 • Issue 8 • August 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jun 30, 2022
Accepted: Mar 16, 2023
Published online: May 16, 2023
Published in print: Aug 1, 2023
Discussion open until: Oct 16, 2023
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