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Complementary approximations to wave scattering by vertical barriers

Published online by Cambridge University Press:  26 April 2006

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

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.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 294 , 10 July 1995, pp. 155 - 180
Copyright
© 1995 Cambridge University Press

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