Numerical computation of the interaction of surface waves with submarine pit breakwaters

Abstract

<span style="mso-ansi-language:EN-US" lang="EN-US">Present study consists the interaction of surface waves with submarine pit breakwaters. A vertically-integrated nonlinear dispersive wave model with inclusion of a semi-empirical wave breaking effect, in non-orthogonal curvilinear coordinate system is used for simulating waves<span style="mso-ansi-language:EN-US" lang="EN-US">. The staggered grid system is used. Matrix equation of the finite difference method is solved through an iterative approach at each time step. <span style="mso-ansi-language:EN-US" lang="EN-US">Numerical method results in implicit formulations for the momentum equations and explicit formulation for the continuity equation. The numerical model has been validated through comparisons of computational results with experimental measurements of the wave propagation over an asymmetrical trapezoidal bar, <span style="mso-ansi-language:EN-US" lang="EN-US">over shoals and the regular wave diffraction results for rectangular pit. Simulations show an acceptable level of agreement and give confidence for practical applications.

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