NUMERICAL MODEL OF FULLY-NONLINEAR WAVE REFRACTION AND DIFFRACTION

Masahiko Isobe, Samir Abohadima

Abstract


Nonlinear mild-slope equations are a set of equations which were derived to analyze fully-nonlinear and fully-dispersive wave transformation. In the present study, it is shown that refraction-diffraction equations including the mild-slope equation, nonlinear shallow water equations and Boussinesq equations are derived as special cases of the nonlinear mild-slope equations. Then, a numerical model is developed for fully-nonlinear wave refraction and diffraction on the basis of the nonlinear mild-slope equations. The model is verified through comparison of numerical results with theoretical and experimental results. Finally, effect of nonlinearity on wave diffraction through a breakwater gap is discussed.

Keywords


numerical model; nonlinear wave; refraction; diffraction; wave model

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