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Small water channel network for designing wave fields in shallow water

Published online by Cambridge University Press:  15 June 2018

Takahito Iida Open the ORCID record for Takahito Iida [Opens in a new window]  and
Masashi Kashiwagi
Takahito Iida*
Affiliation:
Department of Naval Architecture and Ocean Engineering, Osaka University, Osaka 5650871, Japan Research Fellow of Japan Society for the Promotion of Science, Japan
Masashi Kashiwagi
Affiliation:
Department of Naval Architecture and Ocean Engineering, Osaka University, Osaka 5650871, Japan
*
†Email address for correspondence: iida_takahito@naoe.eng.osaka-u.ac.jp
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Abstract

A small water channel network is proposed for designing shallow water fields, and the network is applied to attain water wave cloaking. The design formula is derived from an analogy between waves in a water channel and in an electric circuit; an approach of a transmission line metamaterial is extended to water waves and the water channel is used as an alternative of the transmission line. The size of the water channel is sufficiently smaller than the wavelength and a number of the channels are periodically connected as a network. This small water channel network makes artificial wave fields, and it works for a wide band of frequencies. First, we make an isotropic network equivalent to a shallow water space with constant depth in order to validate the proposed design method. It shows no wave reflection at the interface due to impedance matching. After that, the proposed theory is applied to designing an anisotropic small water channel network for demonstrating shallow water cloaking. A cylinder is cloaked from waves by the network surrounding the cylinder. Both cases are confirmed with numerical computations by solving the boundary-value problem based on linear potential theory.

JFM classification

Geophysical and Geological Flows: Shallow water flows Waves/Free-surface Flows: Waves/Free-surface Flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 849 , 25 August 2018 , pp. 90 - 110
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Copyright
© 2018 Cambridge University Press 

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