Chapter
Dec 31, 2015
Evolution Equations for Edge Waves and Shear Waves on Longshore Uniform Beaches
Authors: James T. Kirby, M.ASCE, Uday Putrevu, A.M.ASCE, and H. Tuba Özkan-HallerAuthor Affiliations
Publication: Coastal Engineering 1998
Abstract
A general formalism for computing the nonlinear interactions between triads of coastally-trapped gravity and vorticity waves is developed. An analysis of the linearized problem reveals that gravity (or edge) waves and vorticity (or shear) waves exist as members of the same non-Sturm-Liouville eigenvalue problem, with unstable shear waves representing the complex eigenvalue portion of the resulting spectrum. Interaction equations derived here cover resonant interactions between three edge waves, three shear waves, or a shear wave and two edge waves. Numerical examples are shown for the case of three edge waves on a planar beach in the absence of a longshore current. It is found that edge waves can exchange significant amounts of energy over time scales on the order of ten wave periods, for realistic choices of edge wave parameters.
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Information & Authors
Information
Published In
Coastal Engineering 1998
Pages: 203 - 216
Copyright
© 1999 American Society of Civil Engineers.
History
Published online: Dec 31, 2015
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ASCE Technical Topics:
- Beaches
- Coastal engineering
- Coastal processes
- Coasts, oceans, ports, and waterways engineering
- Continuum mechanics
- Dynamics (solid mechanics)
- Engineering mechanics
- Fluid mechanics
- Hydrologic engineering
- Littoral drift
- Long waves
- Ocean currents
- Ocean waves
- Seismic waves
- Shear waves
- Shores
- Solid mechanics
- Water and water resources
- Water waves
- Wave equations
- Waves (fluid mechanics)
- Waves (mechanics)
Authors
Affiliations
James T. Kirby, M.ASCE
Professor, Center for Applied Coastal Research, University of Delaware, Newark, DE 19716 USA.
Uday Putrevu, A.M.ASCE
Research Scientist, NorthWest Research Associates, Inc., PO Box 3027, Bellevue, WA 98009-3027 USA.
H. Tuba Özkan-Haller
Assistant Professor, Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI 48109 USA.
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