Numerical use of exterior singularities for computation of gravity waves in shallow water

This study examines the interaction of obliquely incident waves with a breakwater consisting of an infinite array of uniform multi-chamber perforated caissons with partition walls. Based on the linear potential theory, an analytical solution of the problem is developed by means of the matched eigenfunction expansion method. The periodicities of the breakwater and the incident waves are both incorporated into the solution. Several limiting cases are also examined to validate the newly developed solution. Three parameters of engineering interests, the reflection coefficient, the dimensionless total wave force in the normal direction of the breakwater and the dimensionless total wave force acting on the partition walls, are calculated and carefully examined. This study may give a better understanding of the hydrodynamic performance of multi-chamber perforated caissons. Some useful results are also presented to practical engineering.