Experimental verification of horizontal two-dimensional modified mild-slope equation model

In order to verify modified mild-slope equation models in a horizontal two- dimensional space, a hydraulic experiment is made for surface wave propagat ion over a circular shoal on which water depth varies substantially. A hori zontal two-dimensional numerical model is also constructed based on the hyp erbolic equations that have been developed from the modified mild-slope equ ation to account for the substantial depth variation. Comparison between ex perimental measurements and numerical results shows that the modified mild- slope equation model is capable of producing accurate results for wave prop agation in a region where water depth varies substantially, while the conve ntional mild-slope equation model gives large errors as the mild-slope assu mption is violated. (C) 2001 Elsevier Science B.V. All rights reserved.