Wave scattering by a submerged plate in a two-layer fluid of finite depth

摘要

The present study deals with two dimensional scattering of linear water wave by a thin submerged plate in a two layered fluid. The fluid domain considered here is bounded above by a free surface. For discontinuity in the potential across the plate, we use Greens integral theorem to formulate the problem in terms of a hypersingular integral equation. A collocation method using a finite series of Chebyshev polynomials of second kind have been introduced to get the unknown difference potential numerically. The reflection and transmission coefficients for surface mode are computed as integral involving difference potentials. The proportions of reflected and transmitted energies are calculated.