A hybrid integral equation method for diffraction and radiation of water waves by three-dimensional bodies
type: Item
instance of: scholarly article
title: A hybrid integral equation method for diffraction and radiation of water waves by three-dimensional bodies
zbMATH Open document ID: 0617.76018
DOI: 10.1007/BF00282134
author: Yanyan Li
published in: Computational Mechanics
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 4001695
zbMATH Keywords: hybrid integral equation method
zbMATH Keywords: water wave diffraction
zbMATH Keywords: radiation
zbMATH Keywords: three-dimensional bodies
zbMATH Keywords: Green's second identity
zbMATH Keywords: simple source
zbMATH Keywords: special Green's function
zbMATH Keywords: boundary element idealization
zbMATH Keywords: inner fluid region
zbMATH Keywords: local depth irregularities
zbMATH Keywords: analytical solution
zbMATH Keywords: vertical cylindrical surface
zbMATH Keywords: planes of symmetry
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4001695