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Shoreface-connected ridges under the action of waves and currents

Published online by Cambridge University Press:  14 June 2007

EMILY M. LANE  and
JUAN M. RESTREPO
EMILY M. LANE
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA 90095-1567, USA
JUAN M. RESTREPO
Affiliation:
Department of Mathematics and Department of Physics, University of Arizona, Tucson, AZ 85721, USA
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Abstract

Up-current-rotated, shoreface-connected ridges are found in various coastal areas around the world. An often-quoted conjecture is that these ridges form during storm conditions through free instabilities in the erodible bed. Under these conditions both waves and currents are expected to play a significant role in the hydrodynamics. Although some existing models have included the effects of waves parametrically in their bottom friction terms and sediment equations, the dynamical effects of wave–current interaction have not been explored. In this paper we begin to rectify this by considering the effects of wave–current interaction on the bed-form instabilities of a simple model. This raises the possibility of unsteady alongshore flows and questions about the roles of wave parameters and boundary conditions, which we address here. We show that the flow is stable under the wave forcing; however the waves do affect the bed-form instability. The main dynamical effect of the waves is in altering the shapes of the unstable modes. Under various conditions, however, waves may enhance or suppress the instability or introduce new unstable modes. They also affect the celerity of the ridges. In addition, we investigate the mechanisms whereby the waves affect the instability. We also show a potential problem with the parameterization in terms of wave orbital velocity.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 582 , 10 July 2007 , pp. 23 - 52
Copyright
Copyright © Cambridge University Press 2007

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