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Reassessment of the Mild Slope Equations  

Seo, Seung-Nam (Coastal Engineering Research Department, KORDI)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.19, no.6, 2007 , pp. 521-532 More about this Journal
Abstract
In the derivation of mild slope equation, a Galerkin method is used to rigorously form the Sturm-Liouville problem of depth dependent functions. By use of the canonical transformation to the dependent variable of the equation a reduced Helmholtz equation is obtained which exclusively consists of terms proportional to wave number, bottom slope and bottom curvature. Through numerical studies the behavior of terms is shown to play an important role in wave transformations over variable depth and it is proved that their relative magnitudes limit applicability of the mild slope equation(MSE) against the modified mild slope equation(MMSE).
Keywords
mild slope equation; bottom slope; bottom curvature; modified mild slope equation; Galerkin method; numerical model;
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