Title: Finite difference simulation of regular wave propagation over natural beach and composite barriers by Nwogu's extended Boussinesq equations
Authors: Parviz Ghadimi; Mohammad Barzegar Paiin Lamouki
Addresses: Department of Marine Technology, Amirkabir University of Technology, Hafez Ave, No 424, P.O. Box 15875-4413, Teheran, Iran ' Department of Marine Technology, Amirkabir University of Technology, Hafez Ave, No 424, P.O. Box 15875-4413, Teheran, Iran
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.
Keywords: Nwuog's extended Boussinesq equations; submerged breakwater; composite barriers; trapezoidal obstacle; predictor-corrector method; staggered-grid; natural beach; finite difference method; regular waves; parametric studies.
Progress in Computational Fluid Dynamics, An International Journal, 2017 Vol.17 No.4, pp.212 - 220
Accepted: 01 Apr 2016
Published online: 16 Jul 2017 *