Title

Nonlinear Diffraction Of Water Waves By Offshore Structures

Keywords

and Helmholtz resonance; incident and reflected waves; non-linear diffraction of water waves; Variational principle for non-axisymmetric water waves; wave forces; waves incident on harbors

Abstract

This paper is concerned with a variational formulation of a non-axisymmetric water wave problem. The full set of equations of motion for the problem in cylindrical polar coordinates is derived. This is followed by a review of the current knowledge on analytical theories and numerical treatments of nonlinear diffraction of water waves by offshore cylindrical structures. A brief discussion is made on water waves incident on a circular harbor with a narrow gap. Special emphasis is given to the resonance phenomenon associated with this problem. A new theoretical analysis is also presented to estimate the wave forces on large conical structures. Second-order (nonlinear) effects are included in the calculation of the wave forces on the conical structures. A list of important references is also given. © 1986, Hindawi Publishing Corporation. All rights reserved.

Publication Date

1-1-1986

Publication Title

International Journal of Mathematics and Mathematical Sciences

Volume

9

Issue

4

Number of Pages

625-652

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1155/S0161171286000807

Socpus ID

0012262775 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0012262775

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