Flexural Gravity Wave Resonance in the Presence of Current
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 148, Issue 3
Abstract
In the present work, different types of resonance associated with the flexural gravity wave motion in the presence of current are discussed. Trapping is one important class of resonance and is studied in the presence of ocean current and ice compression. The existence of a resonant wave below the cutoff value is observed and analyzed in the presence of a submerged cylinder by using the multipole expansion method. It is observed that the inclusion of the ocean current enhances the search for locating the trapped waves. Trapped mode frequency increases up to the cutoff value with an increase in the current speed and, hence, ceases to exist. Therefore, the boundary value problem has a unique solution near the upper surface for higher values of the current speed. The effect of the compressive force on trapped mode behavior is also observed. It is shown numerically that trapped waves fail to exist when the group velocity is negative for specific values of the compressive force which is a very interesting result that is obtained. Significant effects of flexural rigidity, radius, and submergence depth of the cylinder on trapped waves are also observed. On the other hand, the Bragg resonance, which is used for efficient utilization of wave energy, is analyzed in the presence of current and an undulating bottom topography by using methods of perturbation and Fourier transform. The condition for Bragg resonance in the presence of current is derived in the case of a small undulating bottom topography.
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Acknowledgments
The efforts of the three reviewers in going through every minute aspect of the manuscript are highly appreciated. Their comments and suggestions have really been immensely helpful which allowed a very much improved and practical revision of the manuscript. The Chief Editor and the Associate Editor are also profusely thanked for making meaningful suggestions and also for allowing a revision.
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Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 148 • Issue 3 • May 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: May 20, 2021
Accepted: Nov 18, 2021
Published online: Feb 7, 2022
Published in print: May 1, 2022
Discussion open until: Jul 7, 2022
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Cited by
- Muniyappan M., Rajesh Ranjan Dora, Sanjay Kumar Mohanty, Wave resonances in the presence of current and the frequency and time-domain interconnection, Wave Motion, 10.1016/j.wavemoti.2023.103128, 119, (103128), (2023).
- Sunanda Saha, Santu Das, Swaroop Nandan Bora, Trapped waves within the blocking frequency under compressed sea ice and two-dimensional current, Marine Structures, 10.1016/j.marstruc.2022.103336, 87, (103336), (2023).