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

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摘要

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/2k,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.

论文关键词:65N,74J,Infinitessimal waves,Potential flow,Wedge domain,W-transformation

论文评审过程:Received 8 April 2005, Available online 7 February 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2005.09.032