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Experimental verification of the linear and non-linear versions of a panel code

  • Grigoropoulos, G.J. (School of Naval Architecture and Marine Engineering, National technical University of Athens) ;
  • Katsikis, C. (School of Naval Architecture and Marine Engineering, National technical University of Athens) ;
  • Chalkias, D.S. (School of Naval Architecture and Marine Engineering, National technical University of Athens)
  • Published : 2011.03.31

Abstract

In the proposed paper numerical calculations are carried out using two versions of a three-dimensional, timedomain panel method developed by the group of Prof. P. Sclavounos at MIT, i.e. the linear code SWAN2, enabling optionally the use of the instantaneous non-linear Froude-Krylov and hydrostatic forces and the fully non-linear SWAN4. The analytical results are compared with experimental results for three hull forms with increasing geometrical complexity, the Series 60, a reefer vessel with stern bulb and a modern fast ROPAX hull form with hollow bottom in the stern region. The details of the geometrical modeling of the hull forms are discussed. In addition, since SWAN4 does not support transom sterns, only the two versions of SWAN2 were evaluated over experimental results for the parent hull form of the NTUA double-chine, wide-transom, high-speed monohull series. The effect of speed on the numerical predictions was investigated. It is concluded that both versions of SWAN2 the linear and the one with the non-linear Froude-Krylov and hydrostatic forces provide a more robust tool for prediction of the dynamic response of the vessels than the non-linear SWAN4 code. In general, their results are close to what was expected on the basis of experience. Furthermore, the use of the option of non-linear Froude-Krylov and hydrostatic forces is beneficial for the accuracy of the predictions. The content of the paper is based on the Diploma thesis of the second author, supervised by the first one and further refined by the third one.

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References

  1. Athanassoulis, G.A. and Loukakis, T.A., 1982. An extended lewis form family of ship sections and its applications to seakeeping calculations. International Shipbuilding Progress, 32(366), p.33.
  2. Frank, W., 1967. Oscillation of cylinders in or below the free surface of deep fluids. Naval Surface Resarch and Development Center, Report No. 2375, Washington D.C., USA.
  3. Gerritsma, J. Beukelman, W. and Glansdorp, C., 1974. The effects of beam on the hydrodynamic characteristics of ship hulls. Proceedings of the 10th Symposium On Naval Hydrodynamics, Cambridge, MA, USA
  4. Grigoropoulos, G.J., 2004. Hull Form optimization for hydrodynamic performance. Marine Technology, 41(4), pp.167-182.
  5. Grigoropoulos, G.J. and Chalkias, D.S., 2005. Hull-form optimization of high-speed monohulls. Proceedings of the 8th International Conference on Fast Sea Transportation FAST 2005, St. Petersburg, Russia.
  6. Grigoropoulos, G.J. Damala, D. and Loukakis, T.A., 2010. Dynamic performance of the NTUA Double-Chine series hull forms in regular waves. Proceedings of the 2nd Chesapeake Power Boat Symposium, Annapolis Maryland, USA.
  7. Guevel, P. and Bougis, J.,1982. Ship motions with forward speed in infinite depth. Intlernational Shipbuilding Progress, 29(332), p.103.
  8. Huang, Y., 1997. Non-Linear Ship Motions by a Rankine Panel Method. Ph.D. Thesis, MIT, Cambridge, MA.
  9. Katsikis, C., 2009. Seakeeping computations for ships using a non-linear code. Diploma Thesis, NTUA, Athens, Greece.
  10. Kim, K.-H. and Kim, Y., 2009. Time-domain analysis of nonlinear ship motion responses based on the weakscatterer hypothesis. Proceedings of the 19th International Offshore and Polar Engineering , Osaka, Japan.
  11. Korvin-Kroukovsky, B.V. and Jacobs, W.D., 1957. Pitching and heaving motions of a ship in regular waves. Transactions SNAME, 65, p. 590.
  12. Kring, D.C., 1994. Time Domain Ship Motions by a Three- Dimensional Rankine Panel Method. Ph.D. Thesis, MIT,Cambridge, MA.
  13. Kring, D.C. Huang, Y. and Sclavounos, P., 1995. Time domain ship motions with a nonlinear extension. Proceedings of the 10th International Workshop on Water Waves and Floating Bodies, Oxford, UK, pp. 135-138.
  14. Kring, D.C. Huang, Y. Sclavounos, P. Vada, T. and Braathen, A. 1996. Nonlinear ship motions and wave induced Loads by a Rankine Panel Method. Proceedings of the 21st Symposium on Naval Hydrodynamics, Trondheim, Norway.
  15. Lewis, F.M., 1929. The inertia of water surrounding a vibrating ship. Transactions SNAME, 37, p. 1.
  16. Liapis, S.J., 1986. Time Domain Analysis of Ship Motions. Technical Report 302, Department of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, MI.
  17. Sclavounos, P.D., 1996. Computation of Wave Ship Interactions. Advances in Marine Hydrodynamics, ed. by M. Ohkusu, Computational Mechanics Publications.
  18. Ursell, F., 1949a. On the heaving motion of a circular cylinder on the surface of a fluid. Journal of Mechanics and Applied Mathematics, 2, p. 213. https://doi.org/10.1093/qjmam/2.2.218
  19. Ursell, F., 1949b. On the rolling motion of a cylinders in the surface of a fluid. Journal of Mechanics and Applied Mathematics, 2, p. 335. https://doi.org/10.1093/qjmam/2.3.335