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Nonlinear-wave effects on fixed and floating bodies

Published online by Cambridge University Press:  20 April 2006

Michael De St Q. Isaacson
Affiliation:
Department of Civil Engineering, University of British Columbia, Vancouver, B.C., Canada

Abstract

A numerical method for calculating the interaction of steep (nonlinear) ocean waves with large fixed or floating structures of arbitrary shape is described. The interaction is treated as a transient problem with known initial conditions corresponding to still water in the vicinity of the structure and a prescribed incident waveform approaching it. The development of the flow, together with the associated fluid forces and structural motions, are obtained by a time-stepping procedure in which the flow at each time step is calculated by an integral-equation method based on Green's theorem. A few results are presented for two reference situations and these serve to illustrate the effects of nonlinearities in the incident waves.

Type
Research Article
Copyright
© 1982 Cambridge University Press

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References

Fenton, J. D. & Rienecker, M. M. 1980 Accurate numerical solutions for nonlinear waves. In Proc. 17th Coastal Engng Conf., Sydney, pp. 5069. A.S.C.E.
Garrett, C. J. R. 1971 Wave forces on a circular dock. J. Fluid Mech. 46, 129139.Google Scholar
Isaacson, M. De St Q. 1977 Shallow wave diffraction around large cylinder. J. Waterway, Port, Coastal & Ocean Div. A.S.C.E. 103 (WW1), 69–82.Google Scholar
Isaacson, M. De St Q. 1981a Nonlinear wave forces on large offshore structures. Coastal/Ocean Engng Rep., Dept Civil Engng, Univ. British Columbia.
Isaacson, M. De St Q. 1981b Steep wave effects on large offshore structures. Proc. Offshore Tech. Conf., Houston, Paper no. OTC 3955.
Isaacson, M. De St Q. 1982a Fixed and floating axisymmetric bodies in waves. J. Waterway, Port, Coastal & Ocean Div. A.S.C.E. 108 (WW2) (in press).Google Scholar
Isaacson, M. De St Q. 1982b Solitary wave diffraction around large cylinder. J. Waterway, Port, Coastal & Ocean Div. A.S.C.E. (in press).Google Scholar
Kellogg, O. D. 1929 Foundations of Potential Theory. Springer.
Landweber, L. 1981 Motion of immersed and floating bodies. In Handbook of Fluid Dynamics (ed. V. L. Streeter), pp. 131–13–50. McGraw-Hill.
Longuet-Higgins, M. S. & Cokelet, E. D. 1976 The deformation of steep surface waves on water. I. A numerical method of computation. Proc. R. Soc. Lond. A 350, 125.Google Scholar
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics. McGraw-Hill.
Sarpkaya, T. & Isaacson, M. 1981 Mechanics of Wave Forces on Offshore Structures. Van Nostrand Reinhold.
Srokosz, M. A. 1981 Breaking effects in standing and reflected waves. Preprints, Int. Symp. on Hydrodynamics in Ocean Engng, Trondheim, Norway, pp. 183202. Norwegian Hydrodyn. Labs.
Stiassnie, M. & Peregrine, D. H. 1980 Shoaling of finite-amplitude surface waves on water of slowly-varying depth. J. Fluid Mech. 97, 783805.Google Scholar
Vinje, T. & Brevig, P. 1981 Numerical calculations of forces from breaking waves. Preprints, Int. Symp. on Hydrodynamics in Ocean Engng, Trondheim, Norway, pp. 547566.