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Hydrodynamic forces on a submerged cylinder advancing in water waves of finite depth

Published online by Cambridge University Press:  26 April 2006

G. X. Wu
Affiliation:
Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK

Abstract

The hydrodynamic problem of a submerged horizontal cylinder advancing in regular water waves of finite depth at constant forward speed is analysed by the linearized velocity potential theory. The Green function is first derived. Far-field equations for calculating damping coefficients and exciting forces are obtained. The numerical method used combines a finite-element approximation of the potential in a region surrounding the cylinder with a boundary-integral-equation representation of the outer region. Numerical results for the hydrodynamic forces on submerged circular cylinders and elliptical cylinders are provided.

Type
Research Article
Copyright
© 1991 Cambridge University Press

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References

Becker, V. E.: 1956 Die pulsierende Quelle unter der freien Oberflache eines Stromes endlicher Tiefe. Ing.-Arch. 24, 6976.Google Scholar
Taylor, R. Eatock & Wu, G. X. 1986 Wave resistance and lift on cylinders by a coupled element technique. Intl Shipbuilding Prog. 33, 29.Google Scholar
Grue, J. & Palm, E., 1985 Wave radiation and wave diffraction from a submerged body in a uniform current. J. Fluid Mech. 151, 257278.Google Scholar
Mei, C. C.: 1982 The Applied Dynamics of Ocean Waves. Wiley-Interscience.
Mo, O. & Palm, E., 1987 On radiated and scattered waves from a submerged elliptical cylinder in a uniform current. J. Ship Res. 31, 2333.Google Scholar
Newman, J. N.: 1961 The exciting forces on a moving body in waves. J. Ship Res. 9, 190199.Google Scholar
Newman, J. N.: 1978 The theory of ship motions. Adv. Appl. Mech. 18, 221283.Google Scholar
Timman, R. & Newman, J. N., 1962 The coupled damping coefficients of a symmetric ship. J. Ship Res. 5, 17.Google Scholar
Ursell, F.: 1980 Mathematical notes on the two-dimensional Kelvin—Neumann problem. In 13th Symp. on Naval Hydrodyn., vol. 2.Google Scholar
Wu, G. X. & Taylor, R. Eatock 1987 Hydrodynamic forces on submerged oscillating cylinders at forward speed. Proc. R. Soc. Lond. A 414, 149170.Google Scholar
Wu, G. X. & Taylor, R. Eatock 1988a Reciprocity relations for hydrodynamic coefficients of bodies with forward speed. Intl Shipbuilding Prog. 35, 145153.Google Scholar
Wu, G. X. & Taylor, R. Eatock 1988b Radiation and diffraction of water waves by a submerged sphere at forward speed. Proc. R. Soc. Land. A 417, 43361.Google Scholar
Wu, G. X. & Taylor, R. Eatock 1990 The hydrodynamic force on an oscillating ship with low forward speed. J. Fluid Mech. 211, 333353.Google Scholar