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Reflection of gravity waves by a steep beach with a porous bed

Published online by Cambridge University Press:  25 March 1998

GILES L. BODY  and
ULF T. EHRENMARK
GILES L. BODY
Affiliation:
Department CISM, London Guildhall University, 100 Minories, London EC3N 1JY, UK
ULF T. EHRENMARK
Affiliation:
Department CISM, London Guildhall University, 100 Minories, London EC3N 1JY, UK
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Abstract

Solutions are determined for normally incident non-breaking linear gravity waves in a perfect fluid over a porous plane bed of arbitrary slope α both with and without bed friction. For simplicity, computations are restricted to α=π/2m, m∈N. Modifications to wave height transformations due to percolation and to friction are determined for a variety of slopes and coefficients. The effect on the reflection coefficient Rf is also studied and excellent qualitative agreement is found with recent work on damping and reflection by permeable structures. In particular, for a choice of parameters, the Rf response is determined in closed form.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 359 , 25 March 1998 , pp. 265 - 280
Copyright
© 1998 Cambridge University Press

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