International Journal of Naval Architecture and Ocean Engineering

The Society of Naval Architects of Korea (대한조선학회)
권호 표지
DOI QR코드

DOI QR Code

Hybrid radiation technique of frequency-domain Rankine source method for prediction of ship motion at forward speed

  • Oh, Seunghoon (Korea Research Institute of Ships & Ocean Engineering (KRISO)) ;
  • Kim, Booki (Korea Research Institute of Ships & Ocean Engineering (KRISO))
  • Received : 2020.11.03
  • Accepted : 2021.03.10
  • Published : 2021.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

The appropriate radiation conditions of ship motion problem with advancing speed in frequency domain are investigated from a theoretical and practical point of view. From extensive numerical experiments that have been conducted for evaluation of the relevant radiation conditions, a hybrid radiation technique is proposed in which the Sommerfeld radiation condition and the free surface damping are mixed. Based on the comparison with the results of the translating and pulsating Green function method, the optimal damping factor of the hybrid radiation technique is selected, and the observed limitations of the proposed hybrid radiation technique are discussed, along with its accuracy obtained from the numerical solutions. Comparative studies of the forward-speed seakeeping prediction methods available confirm that the results of applying the hybrid radiation technique are relatively similar to those obtained from the translating and pulsating Green function method. This confirmation is made in comparisons with the results of solely applying either the free surface damping, or the Sommerfeld radiation condition. By applying the proposed hybrid radiation technique, the wave patterns, hydrodynamic coefficients, and motion responses of the Wigley III hull are finally calculated, and compared with those of model tests. It is found that, in comparison with the model test results, the three-dimensional Rankine source method adopting the proposed hybrid radiation technique is more robust in terms of accuracy and numerical stability, as well as in obtaining the forward speed seakeeping solution.

Keywords

Acknowledgement

This study has been funded by Korea's Ministry of Oceans and Fisheries, and is a part of the National Development Project "Development of LNG bunkering system for coastal trading LNG-fueled ships (Project No. 20180316, PMS4690)". The authors acknowledge the Korea Research Institute of Ships and Ocean Engineering (KRISO) for their support of publishing this paper.

References

  1. Bertram, V., 1990. A Rankine Source Method for the Forward-Speed Diffraction Problem. Ph. D. Thesis. Hamburg University of Technology.
  2. Bingham, H.B., Korsemeyer, F.T., Newman, J.N., 1994. Prediction of seakeeping characteristics of ships. In: Proc. 20th Symp. On Naval Hydrodynamics, Santa Barbara, California, pp. 27-47.
  3. Chan, H.S., 1990. A three-dimensional technique for predicting first- and second-order hydrodynamic forces on a marine vehicle advancing in waves. Ph.D. Thesis. Univ. of, Glasgow.
  4. Chang, M.S., 1977. Computations of three-dimensional ship motions with forward speed. In: Proc. 2nd Int. Conf. Num. Ship Hydrodyn. Berkeley, California, pp. 124-135.
  5. Chen, X.B., Malenica, S., 1996. Uniformly valid solution of the wave current-body interaction problem. In: Proc. 11th International Workshop on Water Waves and Floating Bodies. Hamburg, Germany.
  6. Das, S., Cheung, K.F., 2012. Scattered waves and motions of marine vessels advancing in a seaway. Wave Motion 49 (1), 181-197. https://doi.org/10.1016/j.wavemoti.2011.09.003
  7. Gerritsma, J., Beukelman, W., 1967. Analysis of the modified strip theory for the calculation of ship motions and wave bending moments. Int. Shipbuild. Prog. 14 (156), 319-337. https://doi.org/10.3233/isp-1967-1415602
  8. Guevel, P., Bougis, J., 1982. Ship-motions with forward speed in infinite depth. Int. Shipbuild. Prog. 29, 103-117. https://doi.org/10.3233/isp-1982-2933202
  9. Hoff, J.R., 1990. Three-dimensional Green function of a vessel with forward speed in waves. Dr. Ing Thesis. Norwegian Institute of Technology.
  10. Hong, S.Y., Choi, H.S., 1995. Analysis of steady and unsteady flow around a ship using a higher-order boundary element method. Journal of the Society of Naval Architects of Korea 32 (1), 32-57.
  11. Hong, D.C., Hong, S.Y., 2008. Numerical study of the radiation potential of a ship using the 3D time domain forward-speed free-surface Green function and a second order BEM. Journal of the Society of Naval Architects of Korea 45 (3), 258-268. https://doi.org/10.3744/SNAK.2008.45.3.258
  12. Inglis, R.B., Price, W.G., 1981. A three-dimensional ship motion theory: comparison between theoretical predictions and experimental data of the hydrodynamic coefficients with forward speed. Transactions of RINA 124, 183-192.
  13. Iwashita, H., Ito, A., 1998. Seakeeping computations of a blunt ship capturing the influence of the steady flow. Ship Technol. Res. 45 (4), 159-171.
  14. Iwashita, H., Ohkusu, M., 1989. Hydrodynamic forces on a ship moving with forward speed in waves. J. Soc. Nav. Archit. Jpn. 166, 87-109.
  15. Journee, J.M.J., 1992. Experiments and Calculations on 4 Wigley Hull Forms in Head Waves. Report No. 0909. Ship Hydromechanics Laboratory, Delft University of Technology, The Netherlands.
  16. Kim, B., 2005. Some considerations on forward-speed seakeeping calculations in frequency domain. Int. J. Offshore Polar Eng. 15 (3), 189-197.
  17. Kim, K.H., Kim, Y., 2010. Comparative study on ship hydrodynamics based on Neumann-Kelvin and double-body linearizations in time-domain analysis. Int. J. Offshore Polar Eng. 20 (4), 265-274.
  18. Kim, B.S., Kim, Y., 2018. Analysis of added resistance on ships in waves based on a frequency-domain Rankine panel method. In: Proceedings of the Annual Meeting the Society of Naval Architects of Korea, Jeju. The Society of Naval Architects of Korea.
  19. Kim, B., Shin, Y.S., 2007. Steady flow approximations in three-dimensional ship motion calculation. J. Ship Res. 51 (3), 229-249. https://doi.org/10.5957/jsr.2007.51.3.229
  20. Kim, Y., Kim, K.H., Kim, J.H., Kim, T., Seo, M.G., Kim, Y., 2011. Time-domain analysis of nonlinear motion responses and structural loads on ships and offshore structures: development of WISH program. International Journal of Naval Architecture and Ocean Engineering 3, 37-52. https://doi.org/10.3744/JNAOE.2011.3.1.037
  21. Korvin-Kroukovsky, B.V., Jacobs, W.R., 1957. Pitching and heaving motions of a ship in regular waves, 65. Transactions of Society of Naval Architects and Marine Engineers.
  22. Lee, H.Y., Yum, D.J., 1994. On the removal of irregular frequencies in the prediction of ship motion in waves. Journal of the Society of Naval Architects of Korea 31 (4), 73-81.
  23. Lin, W.M., Yue, D.K.P., 1991. Numerical solutions for large amplitude ship motions in the time domain. In: Proc. 18th Symp. On Naval Hydrodynamics, Washington D.C., pp. 41-66.
  24. Nakos, D.E., 1990. Ship Wave Patterns and Motions by Three Dimensional Rankine Panel Method. Ph. D. Thesis. Massachusetts Institute of Technology.
  25. Nakos, D.E., Sclavounos, P.D., 1990. Steady and unsteady ship wave patterns. J. Fluid Mech. 215, 263-288. https://doi.org/10.1017/S0022112090002646
  26. Oh, S., 2019. Comparative study on the radiation techniques for the problem of floating body motion with forward speed. Journal of the Society of Naval Architects of Korea 56 (5), 396-409. https://doi.org/10.3744/SNAK.2019.56.5.396
  27. Oh, S., Jung, D.H., Cho, S.K., Nam, B.W., Sung, H.G., 2019. Frequency domain analysis for hydrodynamic responses of floating structure using desingularized indirect boundary integral equation method. Journal of the Society of Naval Architects of Korea 56 (1), 11-22. https://doi.org/10.3744/SNAK.2019.56.1.011
  28. Salvesen, N., Tuck, E.O., Faltinsen, O.M., 1970. Ship motions and sea loads. Trans. - Soc. Nav. Archit. Mar. Eng. 78, 250-279.
  29. Sclavounos, P.D., Kring, D.C., Huang, Y., Mantzaris, D.A., Kim, S., Kim, Y., 1997. A computational method as an advanced tool of ship hydrodynamic design. Trans. - Soc. Nav. Archit. Mar. Eng. 105, 375-397.
  30. Sen, D., 2002. Time-domain computation of large-amplitude 3D ship motions with forward speed. Ocean. Eng. 29, 973-1002. https://doi.org/10.1016/S0029-8018(01)00041-5
  31. Soding, H., Bertram, V., 2009. A 3-d Rankine source seakeeping method. Ship Technol. Res. 56, 50-68. https://doi.org/10.1179/str.2009.56.2.002
  32. Timman, R., Newman, J.N., 1962. The coupled damping coefficients of symmetric ships. J. Ship Res. 5 (4), 34-55.
  33. van't Veer, A.P., 1998. Behavior of Catamarans in Waves. Ph. D Thesis. Delft University of Technology.
  34. Wu, G.X., Eatock Taylor, R., 1989. The numerical solution of the motions of a ship advancing in waves. In: Proc. 5th Int. Conf. Num. Ship Hydrodyn, Hiroshima, pp. 529-538.
  35. Yang, J.H., Song, K.J., Chun, H.H., 2001. Computation of the hydrodynamic coefficients of ships in waves by Rankine source panel methods. Journal of the Society of Naval Architects of Korea 38 (1), 43-51.
  36. Yasuda, E., Iwashita, H., Kashiwagi, M., 2016. Improvement of Rankine panel method for seakeeping prediction of a ship in low frequency region. In: Proc. 35th International Conference on Ocean, Offshore and Arctic Engineering, Busan.
  37. Yuan, Z.M., Incecik, A., Jia, L., 2014. A new radiation condition for ships travelling with very low forward speed. Ocean. Eng. 88, 298-309. https://doi.org/10.1016/j.oceaneng.2014.05.019
  38. Zhao, R., Faltinsen, O., 1989. A discussion of the m-terms in the wave-current-body interaction problem. In: Proc. 3rd International Workshop on Water Waves and Floating Bodies, Norway, pp. 1-4.