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Higher Harmonic Generation by Nonlinear Interaction between Monochromatic Waves and a Horizontal Plate  

Koh, Hyeok-Jun (Department of Oceanic Information and System Engineering, Cheju National University)
Cho, Il-Hyoung (Department of Oceanic Information and System Engineering, Cheju National University)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.19, no.5, 2007 , pp. 484-491 More about this Journal
Abstract
Numerical experiments using a numerical wave tank have been performed to verier the nonlinear interaction between monochromatic waves and a submerged horizontal plate. As a model for numerical wave tank, we used a higher-order Boundary Element Method(BEM) based on fully nonlinear potential flow theory and CADMAS-SURF for solving Navier Stokes equations and exact free surface conditions. Both nonlinear models are able to predict the higher harmonic generation in the shallow water region over a submerged horizontal plate. CADMAS-SURF, which involves the viscous effect, can evaluate the higher harmonic generation by flow separation and vortices at the each ends of plate. The comparison of reflection and transmission coefficients with experimental results(Patarapanich and Cheong, 1989) at different lengths and submergence depths of a horizontal plate are presented with a good agreement. It is found that the transfer of energy from the incident fundamental waves to higher harmonics becomes larger as the submergence depth ratio decreases and the length ratio increases.
Keywords
numerical wave tank; higher harmonic generation; submerged horizontal plate; nonlinear water waves;
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