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Diffraction of oblique waves by an infinite cylinder

Published online by Cambridge University Press:  29 March 2006

Kwang June Bai
Kwang June Bai
Affiliation:
Department of Ocean Engineering, Massachusetts Institute of Technology
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Abstract

This paper presents a numerical method for solving linearized water-wave problems with oscillatory time dependence. Specifically it considers the diffraction problem for oblique plane waves incident upon an infinitely long fixed cylinder on the free surface. The numerical method is based on a variational principle equivalent to the linearized boundary-value problem. Finite-element techniques are used to represent the velocity potential; and the variational principle is used to determine the unknown coefficients in the solution throughout the fluid domain. To illustrate this method, reflexion and transmission coefficients and the diffraction forces and moment are computed for oblique waves incident upon a vertical flat plate, a horizontal flat plate and rectangular cylinders, where the comparison is made with the existing results by others. Also considered is the associated sinuous forced-motion problem, where comparison is made with the results for a circular cylinder obtained by Bolton & Ursell (1973).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 68 , Issue 3 , 15 April 1975 , pp. 513 - 535
Copyright
© 1975 Cambridge University Press

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References

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