Journal of Fluid Mechanics

Complementary approximations to wave scattering by vertical barriers

R.  Porter a1 and D. V.  Evans a1
a1 School of Mathematics, University of Bristol, Bristol, BS8 1TW, UK

Article author query
porter r   [Google Scholar] 
evans dv   [Google Scholar] 


Scattering of waves by vertical barriers in infinite-depth water has received much attention due to the ability to solve many of these problems exactly. However, the same problems in finite depth require the use of approximation methods. In this paper we present an accurate method of solving these problems based on a Galerkin approximation. We will show how highly accurate complementary bounds can be computed with relative ease for many scattering problems involving vertical barriers in finite depth and also for a sloshing problem involving a vertical barrier in a rectangular tank.

(Published Online April 26 2006)
(Received October 20 0000)
(Revised February 28 1995)