Explicit Expression for Beach Response to Non-Stationary Forcing near a Groyne
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 132, Issue 2
Abstract
Analytical solutions to a beach evolution equation are obtained for the case where the initial beach shape may be an arbitrary function of position and where the forcing conditions may be a (known) function of time. The focus of this paper is the derivation of a generalized solution to the one-line equation describing the impact that time varying forcing can have on beach development close to a groyne. Explicit solutions are obtained using an integral transform technique. The solutions are found in terms of closed-form integrals which, for all but the simplest cases, require numerical evaluation. Example applications of the new solutions are described.
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Acknowledgments
The writer would like to acknowledge the constructive comments of anonymous referees which helped to improve the exposition of ideas in the paper and to thank Anna Zacharioudaki for her careful checking of the analytical working.
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Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 132 • Issue 2 • March 2006
Pages: 125 - 132
Copyright
© 2006 ASCE.
History
Received: Jun 17, 2004
Accepted: Apr 19, 2005
Published online: Mar 1, 2006
Published in print: Mar 2006
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