Research Article
Aug 1982

Nonlinear Diffraction by Eigenfunction Expansions

Publication: Journal of the Waterway, Port, Coastal and Ocean Division
Volume 108, Issue 3

Abstract

A nonlinear diffraction theory correct to second-order is presented which is based on an eigenfunction expansion of the Green's function for fixed axisymmetric bodies subjected to two-dimensional sinusoidal waves. The boundary value problem for the second-order scattered velocity potential is linearly decomposed into two separate boundary value problems, each having only one inhomogeneous boundary condition. Numerical results indicate that the second-order contributions to the total hydrodynamic pressure force from the inhomogeneous free surface boundary condition are much less than the second-order contributions from the inhomogeneous boundary condition on the axisymmetric body. Second-order contributions are also found to be greater in intermediate water depth conditions than for deep water wave conditions. Theoretical numerical results are also compared with experimental values measured on a fixed vertical circular cylinder.

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Published In

Journal of the Waterway, Port, Coastal and Ocean Division
Volume 108Issue 3August 1982
Pages: 306 - 325

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Published in print: Aug 1982
Published online: Feb 12, 2021

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Min-Chu Chen
Sr. Engr., SONAT Offshore Drilling, Inc., Houston, Tex.
Robert T. Hudspeth, M.ASCE
Assoc. Prof., Dept. of Civ. Engrg. and Ocean Engrg. Programs, Oregon State Univ., Corvallis, Oreg

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