Abstract
We use the Level II Irrotational Green–Naghdi (IGN-2) equations to study a number of wave diffraction problems. The IGN-2 equations can model strongly nonlinear waves. The three-dimensional solution of the IGN-2 equations is developed in this work and applied to some three-dimensional wave transformation and diffraction problems. Three test cases are considered. First one is on wave evolution in a closed basin. It is shown that the IGN-2 results agree well with the linear analytical results for small wave amplitudes. The following two cases involve wave diffraction problems caused by an uneven seabed. In both of these cases, excellent agreement is obtained between the IGN-2 model and the experimental measurements and numerical predictions of others. It is concluded that IGN-2 model can be used to accurately model diffraction and transformation of nonlinear waves in three dimensions.
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