Scattering of water waves by axisymmetric bodies in a channel
A variety of methods are presented for the treatment of the scattering problem for a vertically axisymmetric body placed arbitrarily between vertical channel walls. A new accurate formulation for the case of a circular cylinder extending throughout the depth allows easier calculation than previous methods as there is no need to sum series of image singularities. In addition, two approximate solution methods have been given. The first is applicable only to the vertical cylinder and is based on the assumption that the radius is much smaller than other lengths in the problem. Simple explicit expressions are derived for the wave forces on the cylinder and found to agree well with the accurate solution. The results of calculations of wave forces on a truncated cylinder are also given. All of the methods described may be applied just as easily to the case of an off-center body as to a centrally placed body.
scientific article; zbMATH DE number 168156
scientific article