Abstract:
The results of numerical simulation within the framework of a two-dimensional shallow water model of the interaction of a solitary wave with a stationary semi-submerged body with a rectangular cross section are presented. A comparison of these results with the results of calculations based on a model of irrotational three-dimensional flows showed that for small amplitudes of the incident wave, the modeling accuracy is satisfactory. It has been established that neglecting the diffraction of a solitary wave on the surface of a cylinder when using a one-dimensional model of shallow water leads to overestimates of the maximum values of the wave runup on the edge of the cylinder and the force loads on it.
Keywords:solitary wave, rectangular semisubmerged body, two-dimensional and one-dimensional shallow water equations, matching conditions, offset, force action.