A Hankel transformation is used to obtain the second order diffraction solution of vertical cylinder of circular cross section. The improper integral over the free surface is tackled carefully. The singularity at the free surface is overcome effectively using a third order nonlinear transformation. Numerical results for free surface elevations compare well with the published data.
Issue Section:
Technical Briefs
1.
Lighthill
, J.
, 1979, “Waves and Hydrodynamic Loading
,” Proceedings 2nd International Conference on Behaviour of Offshore Structures
, Vol. 1, BHRA Fluid Engineering
, Cranfield, Bedford, pp. 1
–40
.2.
Molin
, B.
, 1979, “Second Order Diffraction Loads Upon Three-Dimensional Bodies
,” Appl. Ocean. Res.
0141-1187, 1
, pp. 197
–202
.3.
Eatock Taylor
, R.
, and Hung
, S. M.
, 1987, “Second Order Diffraction Forces on a Vertical Cylinder in Regular Waves
,” Appl. Ocean. Res.
0141-1187, 9
, pp. 19
–30
.4.
Kim
, M. H.
, and Yue
, D. K. P.
, 1989, “The Complete Second-Order Diffraction Waves Around an Axisymmetric Body. Part 1. Monochromatic Waves
,” J. Fluid Mech.
0022-1120, 200
, pp. 235
–262
.5.
Chau
, F. P.
, and Eatock Taylor
, R.
, 1992, “Second-Order Wave Diffraction by a Vertical Cylinder
,” J. Fluid Mech.
0022-1120, 240
, pp. 571
–599
.6.
Huang
, J. B.
, and Eatock Taylor
, R.
, 1996, “Semi-Analytical Solution for Second-Order Wave Diffraction by a Truncated Circular Cylinder in Monochromatic Waves
,” J. Fluid Mech.
0022-1120, 319
, pp. 171
–196
.7.
Qiu
, W.
, Chuang
, J. M.
, and Hsiung
, C. C.
, 2004, “Numerical Solution of Wave Diffraction Problem in the Time Domain With the Panel-Free Method
,” ASME J. Offshore Mech. Arct. Eng.
0892-7219, 126
, pp. 1
–8
.8.
Korobkin
, A.
, 1996, “Water Waves Generated by Steady Oscillating Pressure in the Presence of a Circular Cylinder
,” private correspondence.9.
Fenton
, J. D.
, 1978, “Wave Forces on Vertical Bodies of Revolution
,” J. Fluid Mech.
0022-1120, 85
, pp. 241
–255
.10.
Telles
, J. C. F.
, 1987, “A Self-Adaptive Co-ordinate Transformation for Efficient Numerical Evaluation of General Boundary Element Integrals
,” Int. J. Numer. Methods Eng.
0029-5981, 24
, pp. 959
–973
.Copyright © 2007
by American Society of Mechanical Engineers
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