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TECHNICAL PAPERS

Heave Response of Classic Spar With Variable Geometry

[+] Author and Article Information
Longbin Tao

School of Engineering, Griffith University, Gold Coast, QLD 9726, Australiae-mail: L.Tao@griffith.edu.au

Kay Yeong Lim

Worley Ltd., Perth, Australiae-mail: kay-yeong.lim@worley.com.au

Krish Thiagarajan

School of Oil and Gas Engineering, The University of Western Australia, Crawley, WA 6009, Australiae-mail: krisht@cyllene.uwa.edu.au

J. Offshore Mech. Arct. Eng 126(1), 90-95 (Mar 02, 2004) (6 pages) doi:10.1115/1.1643085 History: Received October 01, 2002; Revised February 01, 2003; Online March 02, 2004
Copyright © 2004 by ASME
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References

Haslum, H. A., and Faltinsen, O. M., 1999, “Alternative Shape of Spar Platforms for Use in Hostile Areas,” Offshore Technology Conference, OTC 10953 , Houston, Texas.
Tao, L., Cheng, L. and Thiagarajan, K., 1999, “Numerical estimation of hydrodynamic heave damping of a vertical cylinder with appendages,” Proceedings of the Ninth International Offshore and Polar Engineering Conference, Vol III, 490–495.
Tao,  L., Thiagarajan,  K., and Cheng,  L., 2000, “On the parametric dependence of springing damping of TLP and Spar columns,” Appl. Ocean. Res., 22(5), pp. 281–294.
DNV, 1993, SESAM User’s Manual—WADAM, Det Norske Veritas.
Lee, C.-H., 1995, “WAMIT Theory Manual,” Report 95-2, Dept. of Ocean Engineering, MIT.
Tao, L., 2002, “Numerical investigation of hydrodynamic heave damping of deep water offshore structures,” Ph.D. Thesis, Center for Oil & Gas Engineering, The University of Western Australia.
Thiagarajan, K., Datta, I., Ran, Z., Tao, L., and Halkyard, J., 2002, “Influence of heave plate geometry on the heave response of classic spars,” Proceedings of the 21st International Conference on Offshore Mechanics and Arctic Engineering, OMAE2002-28350 , Oslo, Norway.
Graham,  J. M. R., 1980, “The Forces on Sharp-edged cylinders in oscillatory flow at low Keulegan-Carpenter numbers,” J. Fluid Mech., 97(1), pp. 331–346.
Roddier, D., Liao, S.-W. and Yeung, R. W., 2000, “On Freely-floating Cylinders Fitted with Bilge Keels,” Proceedings of the Tenth International Offshore and Polar Engineering Conference, Vol. III , pp. 377–384.
Roddier, R. W., Liao, S.-W. and Yeung, D., 2000, “On Rll Hydrodynamics of rectangular Cylinders,” Proceedings of the Eighth International Offshore and Polar Engineering Conference, Vol. III , pp. 445–463.

Figures

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Classic spar with constant cross-section area and spars with alternative hull shapes (Hs1—Hs4)
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Sketch of a spar in wave: H—water depth, β–wave-heading angle
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Problem definition: A vertical cylinder in heave
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Iterative post-processing procedure
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Added mass coefficients of the spar and alternative hull shapes (Ca∼Kc).Cap—potential flow solution; Cav—viscous flow solution
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Heave responses (the peak RAOs being truncated) of spars without viscous effect (RAO33∼T)
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Effects of hull shapes in wave excitation forces (F33∼T).D—diameter of spar hull, ρ—density of the fluid, ∀—displaced volume of spar hull, A—wave amplitude of the incoming waves, g—acceleration of gravity
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Wave radiation damping and viscous damping of the spar hulls (Z∼Kc)
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Heave responses of spars with viscous effect (RAO33∼T).

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