Water-wave interaction with submerged porous elastic disks
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Date
2020-04-17
Authors
Zheng, S.
Meylan, M. H.
Greaves, D.
Iglesias, Gregorio
Journal Title
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Publisher
AIP Publishing
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Abstract
Hydroelastic interaction between water waves and submerged porous elastic disks of negligible thickness in water of finite depth is investigated under the assumption of small amplitude water-wave motion and structural response. The disks are either simply supported or clamped at their edges. Wave power can be absorbed/dissipated by the disks due to their porosity. A theoretical model based on the linear potential flow theory and eigenfunction matching method is developed to solve the wave scattering problem of the submerged disks. An indirect method, employing Kochin functions, is derived based on Greenâ s theorem to evaluate the wave power absorption/dissipation, and it produces accurate results at a lower computational cost than the conventional method. This theoretical model is applied to perform a multi-parameter study on the performance of a single submerged porous elastic disk, and an array of disks as well, particularly, in terms of near-field wave motion, disk deflection, far-field scattering coefficient, and wave power absorption/dissipation. Deploying multiple disks in an array is found to be a more promising approach for wave power absorption/dissipation compared to enlarging the area of a single disk.
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Keywords
Hydroelastic interaction , Small amplitude water wave motion , Structural response , Elastic disks , Porosity , Eigenfunction , Kochin functions
Citation
Zheng, S., Meylan, M. H., Greaves, D. and Iglesias, G. (2020) ‘Water-wave interaction with submerged porous elastic disks’, Physics of Fluids, 32(4), 047106 (20pp). doi: 10.1063/5.0006119
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© 2020, the Authors. Published under license by AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared as: Zheng, S., Meylan, M. H., Greaves, D. and Iglesias, G. (2020) ‘Water-wave interaction with submerged porous elastic disks’, Physics of Fluids, 32(4), 047106 (20pp), doi: 10.1063/5.0006119, and may be found at https://doi.org/10.1063/5.0006119