A hybrid integral equation method for diffraction and radiation of water waves by three-dimensional bodies
A hybrid integral equation method is formulated for the analysis of water wave diffraction and radiation by arbitrarily-shaped three-dimensional bodies. It is based upon the direct application of Green's second identity and uses the simple fundamental solution (i.e. a simple source) rather than the special Green's function. The boundary element idealization is used only in an inner fluid region close to the body and local depth irregularities, while an analytical solution is employed in the outer region of constant depth extending to infinity. The two representations are matched on a fictitious vertical cylindrical surface. Special treatment is discussed to reduce computational efforts when the body has one or two planes of symmetry. Numerical results are presented for a variety of geometries to illustrate the applicability and potentialities of the method.
scientific article; zbMATH DE number 4001695