Nonlinear diffraction of water waves by offshore structures
type: Item
instance of: scholarly article
title: Nonlinear diffraction of water waves by offshore structures
zbMATH Open document ID: 0614.76011
DOI: 10.1155/S0161171286000807
author: Lokenath Debnath
author: M. Rahman
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46161
review text: The complete set of equations of motion for a non-symmetric water wave problem is derived from a variational formulation. The analytical results of nonlinear diffraction of water waves by off-shore cylindrical structures are reviewed. The discussion on water waves incident on a circular harbor with a narrow gap raises the question whether or not the circular harbor is a Helmholtz resonator for nonlinear water waves. On large conical structures the wave forces including the second order effects are calculated. The authors hope that some of the results may be experimentally verified.
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 3995259
zbMATH Keywords: non-symmetric water wave problem
zbMATH Keywords: variational formulation
zbMATH Keywords: nonlinear diffraction
zbMATH Keywords: water waves
zbMATH Keywords: off-shore cylindrical structures
zbMATH Keywords: circular harbor with a narrow gap
zbMATH Keywords: Helmholtz resonator
zbMATH Keywords: nonlinear water waves
zbMATH Keywords: conical structures
MaRDI profile type: Publication
OpenAlex ID: W2161814498
description: scientific article; zbMATH DE number 3995259