Abstract
Nwogu's extended Boussinesq equations are utilised to model waves in relatively deep to shallow water. These equations are solved using FDM technique and staggered-grid system. To solve the numerical model, fourth-order central difference scheme is used for first-order spatial derivatives and fourth-order Adams-Bashforth-Moulton predictor-corrector method is applied for time integration. The developed code is applied to model the interaction of regular waves and coastal barriers and breakwaters and five test cases are presented. Subsequently, interaction of regular wave and single and two consecutive trapezoidal barriers are simulated and effects of the distance between them are examined. Computed results of sloped beaches compared against other available data indicate good agreement. The Presented logical estimates for flow parameters can be used by marine engineers in hydrodynamic studies of natural coasts. For double breakwaters, it is concluded that effects of breakwaters is maximised, when distance between them is approximately equal to wave length.
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