Linearized Morison Drag for Improvement Heave Response of Semi-Submersible by Diffraction Potential
Abstract
This research is targeted to improve the semi-submersible heave response prediction by using diffraction potential theory by involving drag effect in the calculation. The comparison to the experimental result was observed that heave motion tendency predicted by the diffraction potential theory is no agreed with motion experimental result when the heave motion is dominated by damping. In this research, the viscous damping and drag force for heave motion is calculated from the drag term of Morison equation. The nonlinear drag term in Morison equation is linearized by Fourier series linearization method and then inserted into the motion equation to correct the inadequate of diffraction potential theory. The proposed numerical method is also applied to simulate the semi-submersible motion response to obtain the heave motion tendency predicted by this numerical method. In comparison to the experimental result which tested at the same wave condition obtained that the diffraction potential theory with the Morison drag term correcting is able to provide satisfying heave response result especially in damping dominated region.
##Keywords:##
Morison Equation, Diffraction Potential Theory, Semi-submersible, Motion Response, Viscous Damping.
Published
Apr 20, 2014
How to Cite
SIOW, C.L. et al.
Linearized Morison Drag for Improvement Heave Response of Semi-Submersible by Diffraction Potential.
Journal of Ocean, Mechanical and Aerospace -science and engineering-, [S.l.], v. 6, n. 1, p. 8-16, apr. 2014.
ISSN 2527-6085.
Available at: <https://isomase.org/Journals/index.php/jomase/article/view/499>. Date accessed: 22 apr. 2026.
doi: http://dx.doi.org/10.36842/jomase.v6i1.499.
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2. Van Oortmerssen, G., (1979).Hydrodynamic interaction between two structures of floating in waves, Proc. of BOSS. ‘79. Second International Conference on Behavior of Offshore Structures, London.
3. Loken, E.,(1981). Hydrodynamic interaction between several floating bodies of arbitrary form in Waves, Proc. of
International Symposium on Hydrodynamics in Ocean Engineering, NIT, Trondheim.
4. Wu, S.,Murray, J. J.,Virk, G. S.,(1997). The motions and internal forces of a moored semi-submersible in regular
waves, Ocean Engineering, 24(7), 593-603.
5. Yilmaz, A. Incecik,(1996).Extreme motion response analysis of moored semi-submersibles, Ocean Engineering, 23(6) 497-517.
6. Söylemez, M.,(1995). Motion tests of a twin-hulled semisubmersible, Ocean Engineering, 22(6) 643-660.
7. Clauss, G. F.,Schmittner, C.,Stutz, K., (2002).Time-Domain Investigation of a Semi Submersible in Rogue Waves, Proc. of the 21st International Conference on Offshore Mechanics and Arctic Engineering), Oslo, Norway.
8. Matos, V. L. F.,Simos, A. N.,Sphaier, S. H., (2011). Second order resonant heave, roll and pitch motions of a deep-draft semi-submersible: Theoretical and Experimental Results, Ocean Engineering, 38(17–18) 2227-2243.
9. Wackers, J. et al., (2011). Free-Surface Viscous Flow Solution Methods for Ship Hydrodynamics, Archive of
Computational Methods in Engineering, Vol. 18 1–41.
10. Afrizal, E., Mufti, F.M., Siow, C.L., Jaswar, (2013).Study of Fluid Flow Characteristic around Rounded-Shape FPSO
Using RANS Method, The 8thInternational Conference on Numerical Analysis in Engineering, pp: 46 – 56, Pekanbaru, Indonesia.
11. Jaswar et al, (2011). An integrated CFD simulation tool in naval architecture and offshore (NAO) engineering, The 4thInternational Meeting of Advances in Thermofluids, Melaka, Malaysia, AIP Conf. Proc. 1440,pp: 1175-1181.
12. Abyn, H., Maimun, A., Jaswar, Islam, M. R., Magee, Bodagi, A., B.,Pauzi, M., (2012).Model Test of Hydrodynamic
Interactions of Floating Structures in Regular Waves,Proc. of the 6thAsia-Pacific Workshop on Marine Hydrodynamics, pp: 73 - 78, Malaysia.
13. Abyn, H.,Maimun, A., Jaswar, Islam, M. R., Magee, A.,Bodagi, B., Pauzi, M., (2012).Effect of Mesh Number on
Accuracy of Semi-Submersible Motion Prediction, Proc. of the 6thAsia-Pacific Workshop on Marine hydrodynamics, pp: 582 - 587, Malaysia.
14. Siow, C. L., Jaswar, Afrizal, E., Abyn, H., Maimun, A., Pauzi, M., (2013).Comparative of Hydrodynamic Effect between Double Bodies to Single Body in Tank, The 8thInternational Conference on Numerical Analysis in Engineering, pp: 64 – 73, Pekanbaru, Indonesia.
15. Tiau, K.U., Jaswar, Hassan Abyn and Siow, C.L., (2012). Study On Mobile Floating Harbor Concept, Proc. of the
6thAsia-Pacific Workshop on Marine Hydrodynamics, pp: 224 - 228, Malaysia.
16. Cengel, Y. A, Cimbala, J. M. (2010). Fluid Mechanics Fundamentals and Application. 2nd Ed.
17. Kvittem, M. I.,Bachynski, E.E.,Moan, T., (2012).Effect of Hydrodynamic Modeling in Fully Coupled Simulations of a Semi-Submersible Wind Turbine, Energy Procedia, 24.
18. Siow, C. L., Abby Hassan, and Jaswar, (2013). Semi Submersible’s Response Prediction by Diffraction Potential
Method, The International Conference on Marine Safety and Environment, pp: 21 - 28, Johor, Malaysia.
19. Siow, C. L., Jaswar, K, and Abby Hassan, (2014). Semi Submersible Heave Response Study Using Diffraction
Potential Theory with Viscous Damping Correction. Journal of Ocean, Mechanical and Aerospace Science and
Engineering, Vol. 5.
20. Nallayarasu, S. and Siva Prasad, P., (2012).Hydrodynamic Response of Spar and Semi-submersible Interlinked by a Rigid Yoke - Part 1: Regular Wave, Ship and Offshore Structures, 7(3).
21. Christina Sjöbris, (2012).Decommissioning of SPM buoy, Master of Science Thesis, Chalmers University of
Technology, Gothenburg, Sweden.
22. Journee, J.M.J and Massie, W.W. (2001). Offshore Hydromechanics. (1st Edition.), Delf University of
Technology.
