Trapping of water waves by submerged plates using hypersingular integral equations
@article{Parsons1995TrappingOW,
title={Trapping of water waves by submerged plates using hypersingular integral equations},
author={N. F. Parsons and Paul A. Martin},
journal={Journal of Fluid Mechanics},
year={1995},
volume={284},
pages={359 - 375}
}The trapping of surface water waves by a thin plate in deep water is reduced to finding non-trivial solutions of a homogeneous, hypersingular integral equation for the discontinuity in velocity potential across the plate. The integral equation is discretized using an expansion-collocation method, involving Chebyshev polynomials of the second kind. A non-trivial solution to the problem is given by the vanishing of the determinant inherent in such a method. Results are given for inclined flat…
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