Multidirectional random wave interactions with rectangular submarine pits

Abstract

The diffraction of multidirectional random surface waves with one or more rectangular submarine pits is investigated theoretically. A specified discrete form of the Mitsuyasu directional spectrum is used for the incident wave conditions. The present method is based on the cumulative superposition of diffraction solutions for linear Airy wave theory obtained by a two-dimensional boundary integral approach in water of uniform depth. The results of the present model have been validated through the comparison with those obtained by previous works for both regular and random wave diffraction by single or multiple pits. In accordance with good agreement from these comparisons, it is concluded that the present numerical model may accurately be utilized to predict the wave field around multiple submarine pits or navigation channels in many practical applications.