Application of the W-transformation to compute the linearised 2-d beach problem potentials

The computation of the 2-d beach problem is reconsidered. A method which allows both regular and singular components to be evaluated for arbitrary values of beach slopes through direct application of the W-transformation to a divergent form of the solution integral is established. Previous models were restricted to the very simple beach angles α = π / 2 k , k ∈ N . Results indicate that the procedure is sufficiently fast that these potentials (so computed) may be used as kernels in future Green function computations.