Application of the W-transformation to compute the linearised 2-d beach problem potentials (Q2433766)

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