Analysis of wave interaction with submerged perforated semi-circular breakwaters through multipole method

Abstract

This study gives a solution of water wave interaction with submerged perforated semi-circular breakwaters in the context of linear potential theory. The multipole expansion with singularities located on the seabed is developed for the solution. It is found that the expanded series converges very rapidly as the number of terms increase. The wave reflection and transmission coefficients, the horizontal and vertical wave forces and the hydrodynamic pressure distribution over the semi-circular breakwaters are obtained and the results are carefully examined. Their significance for practical engineering is discussed.