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Computation of Wave Transformation over a Multi-Step Topography by a Scatterer Method  

Seo, Seung-Nam (Coastal Engineering & Ocean Energy Research Department, KORDI)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.20, no.5, 2008 , pp. 439-451 More about this Journal
Abstract
Based on reflected and transmitted waves by a single step bottom, a new model of scatterer method is constructed which can be used to calculate wave transformation over a multi-step topography. The approximate results are tested by comparison with the more accurate results obtained from EFEM presented by Kirby and Dalrymple(1983). In the case of plane-wave approximation, solutions of the scatterer method and the EFEM are the same. Results obtained by the scatterer method with non-propagating modes are much better, in terms of phase for the calculated reflection and transmission coefficients, than those by plane-wave approximation. As the effect of non-propagating modes decreases, solutions of the scatterer method become closer to those of the EFEM.
Keywords
wave transformation; multi-step topography; eigenfunction expansion method; scatterer method; Galerkin method;
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