NDLI: A Coupled-Mode Technique for the Run-Up of Non-Breaking Dispersive Waves on Plane Beaches

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Belibassakis, K. A. Athanassoulis, G. A.
Copyright Year	2006
Abstract	A coupled-mode model is developed and applied to the transformation and run-up of dispersive water waves on plane beaches. The present work is based on the consistent coupled-mode theory for the propagation of water waves in variable bathymetry regions, developed by Athanassoulis & Belibassakis (1999) and extended to 3D by Belibassakis et al (2001), which is suitably modified to apply to a uniform plane beach. The key feature of the coupled-mode theory is a complete modal-type expansion of the wave potential, containing both propagating and evanescent modes, being able to consistently satisfy the Neumann boundary condition on the sloping bottom. Thus, the present approach extends previous works based on the modified mild-slope equation in conjunction with analytical solution of the linearised shallow water equations, see, e.g., Massel & Pelinovsky (2001). Numerical results concerning non-breaking waves on plane beaches are presented and compared with exact analytical solutions; see, e.g., Wehausen & Laitone (1960, Sec. 18). Also, numerical results are presented concerning the run-up of non-breaking solitary waves on plane beaches and compared with the ones obtained by the solution of the shallow-water wave equations, Synolakis (1987), Li & Raichlen (2002), and experimental data, Synolakis (1987).
Sponsorship	Ocean, Offshore, and Arctic Engineering Division
Starting Page	175
Ending Page	182
Page Count	8
File Format	PDF
ISBN	0791847470
DOI	10.1115/OMAE2006-92162
e-ISBN	0791837777
Volume Number	Volume 2: Ocean Engineering and Polar and Arctic Sciences and Technology
Conference Proceedings	25th International Conference on Offshore Mechanics and Arctic Engineering
Language	English
Publisher Date	2006-06-04
Publisher Place	Hamburg, Germany
Access Restriction	Subscribed
Subject Keyword	Water waves Shallow water equations Water Boundary-value problems Waves Wave equations
Content Type	Text
Resource Type	Article

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