A non-linear coupled-mode system of horizontal equations is derived with the aid of Luke’s (1967) variational principle, which models the evolution of nonlinear water waves in intermediate depth over a general bathymetry. The vertical structure of the wave field is exactly represented by means of a local-mode series expansion of the wave potential, Athanassoulis & Belibassakis (2000). This series contains the usual propagating and evanescent modes, plus two additional modes, the free-surface mode and the sloping-bottom mode, enabling to consistently treat the non-vertical end-conditions at the free-surface and the bottom boundaries. The system fully accounts for the effects of non-linearity and dispersion.
- Ocean, Offshore, and Arctic Engineering Division
A Nonlinear Coupled-Mode Model for Water Waves Over a General Bathymetry
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Athanassoulis, GA, & Belibassakis, KA. "A Nonlinear Coupled-Mode Model for Water Waves Over a General Bathymetry." Proceedings of the ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. 21st International Conference on Offshore Mechanics and Arctic Engineering, Volume 4. Oslo, Norway. June 23–28, 2002. pp. 637-644. ASME. https://doi.org/10.1115/OMAE2002-28411
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