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).
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference12 articles.
1. Black, J. L. & Mei C. C. 1970 Scattering and radiation of water waves.Water Resources and Hydrodynamics Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology, Rep. no. 121.
2. Evans, D. V. & Morris C. A. N. 1972 The effect of a fixed vertical barrier on obliquely incident surface waves in deep water.J. Inst. Math. Appl. 9,198–204.
3. Lebreton, J. C. & Margnac M. A. 1966 Treatement sur ordinateur de quelques probltèmes concernant l'action de la houle sur les corps flottants en theorie bidimensionelle.Bulletin du Centre de Recherches et D'Essais de Chatou, no. 18, 3–43.
4. Bai K. J. 1972 A variational method in potential flows with a free surface. Ph.D. dissertation,Department of Naval Architecture, University of California,Berkeley.
5. Yamamoto, Y. & Tokuda N. 1973 Determination of stress intensity factors in cracked plates by the finite element method. Int. J. Numerical Method Engng,6,427–439.
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