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Water-wave interaction with submerged elastic or poroelastic plates

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WHTW02 - WHT Follow on: the applications, generalisation and implementation of the Wiener-Hopf Method

We discuss the application of the Wiener–Hopf method to linear water-wave interactions with horizontal thin elastic or poro-elastic plates in a unified framework. It is shown how the solution for a single plate can be computed straightforwardly using Cauchy-type integrals, which avoids the need to find the roots of the highly non-trivial dispersion equations. Furthermore, the method is illustrated with some numerical computations, focusing on the evolution of an incident wave pulse which illustrates the existence of two transmitted waves in the submerged plate system. The effect of the porosity is shown to influence the shorter-wavelength pulse much more strongly than the longer-wavelength pulse. Finally, the extension to multiple plates will be discussed.

This talk is part of the Isaac Newton Institute Seminar Series series.

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