Semianalytical Solutions of Shoreline Response to Time-Varying Wave Conditions
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 134, Issue 5
Abstract
Analytical solutions to an extended version of the one-line model for shoreline change are derived in this paper for two cases: (1) shoreline change when the evolution of an alongshore position is a known function of time; and (2) shoreline change within a groyne compartment. The solutions extend existing analytic approaches by accounting for arbitrarily time-varying wave conditions. Explicit solutions are obtained by means of integral transform techniques. The generalized expressions can account for time-varying wave conditions, for an initial beach shape which is an arbitrary function of position, and for sources/sinks of sediment that are a known function of time and space. Example applications are described and the impact that a time-varying wave forcing can have on beach development is investigated. In contrast to previous analytic work, changes in shoreline evolution rate in response to the continuously changing wave conditions in a time series are revealed. Apart from being a more realistic tool for a fast preliminary estimation of long-term shoreline change, the new solutions are also a valuable independent means for validating numerical one-line models.
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Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 134 • Issue 5 • September 2008
Pages: 265 - 274
Copyright
© 2008 ASCE.
History
Received: Nov 28, 2006
Accepted: Feb 14, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008
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