Wave Radiation by Truncated Elliptical Cylinder
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 116, Issue 1
Abstract
The radiation of small‐amplitude water waves by an oscillating submerged elliptical cylinder is investigated analytically. The cylinder may either be totally submerged and resting on the seabed (case I) or partially immersed in the free surface (case II). The fluid domain is divided into two regions: an interior region above (case I) or below (case II) the structure and an exterior region extending to infinity in the horizontal plane. Expressing the boundary‐value problem in elliptical coordinates, analytical expressions for the velocity potentials satisfying the governing equation and boundary conditions in each region may be written in terms of infinite series involving Mathieu and modified Mathieu functions. The unknown coefficients in these series are determined by imposing continuity of mass and momentum fluxes at the fluid interface between the two regions. Utilizing this solution, numerical results are presented that illustrate the variation of the added‐mass and radiation damping coefficients with oscillation frequency for several example structures.
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Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 116 • Issue 1 • January 1990
Pages: 101 - 119
Copyright
Copyright © 1990 ASCE.
History
Published online: Jan 1, 1990
Published in print: Jan 1990
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