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16.—Waves over Obstacles on a Shallow Seabed

Published online by Cambridge University Press:  14 February 2012

Alan Jeffrey  and
Saw Tin
Alan Jeffrey
Affiliation:
Department of Engineering Mathematics, University of Newcastle upon Tyne
Saw Tin
Affiliation:
Department of Engineering Mathematics, University of Newcastle upon Tyne
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Synopsis

In this paper we consider the effect of the passage of shallow water waves over vertical walled objects on a flat seabed. The effect of reflections at the successive walls is taken into account when determining the place of breaking of the wave. The results are obtained by the introduction of special reflection and transmission coefficients at each wall and recurrence relations are formulated connecting their values at successive walls. The effect of this is to reduce the calculation of the place of breaking of the wave over a stepped seabed to an equivalent one for a wave over a flat seabed, the result of which is well known.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 3 , 1973 , pp. 181 - 192
Copyright
Copyright © Royal Society of Edinburgh 1973

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References

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