Oblique Wave Scattering Problems Involving Vertical Porous Membranes

Abstract

Oblique surface waves incident on a fixed vertical porous membrane of various geometric configurations is analyzed here. The mixed boundary value problem is modified into easily resolvable problems by using a connection. These problems are reduced to that of solving a couple of integral equations. These integral equations are solved by a one-term or a two-term Galerkin method. The method involves a basis functions consists of simple polynomials multiplied with a suitable weight functions induced by the barrier. Coefficient of reflection and total wave energy are numerically evaluated and analyzed against various wave parameters. Enhanced reflection is found for all the four barrier configurations.

Keywords

Free surface gravity waves / Reflection coefficient / Singular integral equation / Galerkin approximation / Linear waves / Vertical porous membrane barrier