COMPLEMENTARY APPROXIMATIONS TO WAVE SCATTERING BY VERTICAL BARRIERS

Scattering of waves by vertical barriers in infinite-depth water has r eceived much attention due to the ability to solve many of these probl ems exactly. However, the same problems in finite depth require the us e of approximation methods. In this paper we present an accurate metho d of solving these problems based on a Galerkin approximation. We will show how highly accurate complementary bounds can be computed with re lative ease for many scattering problems involving vertical barriers i n finite depth and also for a sloshing problem involving a vertical ba rrier in a rectangular tank.