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Wave scattering and radiation by a surface-piercing vertical truncated metamaterial cylinder

Published online by Cambridge University Press:  12 March 2024

S. Zheng Open the ORCID record for S. Zheng [Opens in a new window] ,
H. Liang Open the ORCID record for H. Liang [Opens in a new window]  and
D. Greaves Open the ORCID record for D. Greaves [Opens in a new window]
S. Zheng*
Affiliation:
Ocean College, Zhejiang University, Zhoushan, Zhejiang 316021, PR China School of Engineering, Computing and Mathematics, University of Plymouth, Drake Circus, Plymouth PL4 8AA, UK State Key Laboratory of Hydroscience and Engineering, Tsinghua University, 100084 Beijing, PR China
H. Liang*
Affiliation:
Technology Centre for Offshore and Marine, Singapore (TCOMS), 118411, Republic of Singapore
D. Greaves
Affiliation:
School of Engineering, Computing and Mathematics, University of Plymouth, Drake Circus, Plymouth PL4 8AA, UK
*
†Email addresses for correspondence: siming.zheng@zju.edu.cn, liang_hui@tcoms.sg
†Email addresses for correspondence: siming.zheng@zju.edu.cn, liang_hui@tcoms.sg
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Abstract

In this paper, we study wave scattering and radiation by a surface-piercing vertical truncated metamaterial cylinder composed of a closely spaced array of thin vertical barriers, between which fluid can flow. A theoretical model is developed under full depth-dependent linearised water wave theory, where an effective medium equation and effective boundary conditions are employed, respectively, to describe the fluid motion inside the cylinder and match the flow between the fluid regions in and outside the metamaterial cylinder. A damping mechanism is introduced at the surface of the fluid occupied by the metamaterial cylinder to consider the wave power dissipation in narrow gaps between the thin vertical plates. The wave excitation forces acting on the cylinder and the hydrodynamic coefficients can be calculated straightforwardly in terms of the velocity potential inside the cylinder. An alternative way is by using the velocity potential outside the cylinder, the expression of which has the reduction of the integral and an infinite accumulation that are included in the straightforward expression. The results highlight the patterns of the radiated waves induced by the oscillation of the cylinder and the characteristics of the hydrodynamic coefficients. The metamaterial cylinder when fixed in place and with a damping mechanism included is found to capture more wave power than that of a traditional axisymmetric heaving wave energy converter over a wide range of wave frequencies.

JFM classification

Waves/Free-surface Flows: Wave scattering Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Wave-structure interactions
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 983 , 25 March 2024 , A7
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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