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Journal of Marine Science and Application

, Volume 16, Issue 1, pp 20–26 | Cite as

A B-spline method used to calculate added resistance in waves

  • Razieh Zangeneh
  • Mahmood Ghiasi
Article
  • 70 Downloads

Abstract

Making an exact computation of added resistance in sea waves is of high interest due to the economic effects relating to ship design and operation. In this paper, a B-spline based method is developed for computation of added resistance. Based on the potential flow assumption, the velocity potential is computed using Green's formula. The Kochin function is applied to compute added resistance using Maruo's far-field method, the body surface is described by a B-spline curve and potentials and normal derivation of potentials are also described by B-spline basis functions and B-spline derivations. A collocation approach is applied for numerical computation, and integral equations are then evaluated by applying Gauss–Legendre quadrature. Computations are performed for a spheroid and different hull forms; results are validated by a comparison with experimental results. All results obtained with the present method show good agreement with experimental results.

Keywords

Added resistance B-spline Kochin function Maruo's far-field method Gauss–Legendre quadrature 

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References

  1. Gao Z, Zou Z, 2008. A NURBS-based high-order panel method for three-dimensional radiation and diffraction problems with forward speed. J. Ocean Eng., 35, 1271–1278. DOI: http://dx.doi.org/10.1016/j.oceaneng.2008.02.007CrossRefGoogle Scholar
  2. Gerritsma J, Beukelman W, 1972. Analysis of the resistance increase in waves of a fast cargo ship. International Shipbuilding Proceeding. 19.Google Scholar
  3. Iwashita H, Ohkusu M, 1992. The Green function method for ship motions at forward speed. J. Ship Tech Research, 39(2), 3–21.Google Scholar
  4. Hsin C.Y, Kerwin J.E, Newman J.N, 1994. A higher order panel method based on B-spline. In: Proceedings of the 6th International Conference on Numerical Ship Hydrodynamics, National Academy Press, Washington D.C., 133–151.Google Scholar
  5. Journee J M J, 1992. Experiments and calculations on Wigley hull forms in head waves. DUT-SHLReport 0909.Google Scholar
  6. Kashiwagi M, 1997. Numerical seakeeping calculations based on the slender ship theor. Ship Tech Research, 44,167–192.Google Scholar
  7. Kashiwagi M, 2009. Impact of hull design on added resistance in waves-application of the enhanced unified theory. Proceedings of the 10th Int. Marine Design Conf., Trondheim, Norway, 521–535.Google Scholar
  8. Liu S, Papanikolaou A, Zaraphonitis, G, 2011. Prediction of added resistance in waves. J. Ocean Eng., 38, 641–650. DOI: http://dx.doi.org/10.1016/j.oceaneng.2010.12.007CrossRefGoogle Scholar
  9. Maruo H, 1963. Resistance in waves. Soc. Nav. Arch. Japan 60t Anniv.Ser, 8, 67–102.Google Scholar
  10. Maruo H, 1957. The excess resistance of a ship in rough seas. International Shipbuilding Progres, 4(35), 337–345.CrossRefGoogle Scholar
  11. Papanikolaou A, Zaraphonitis G, Maron A. and Karayannis T. 2000. Nonlinear effects of vertical plane motions of ships with forward speed in waves. Proceedings of the Fourth Osaka Colloquium on Seakeeping Performance of Ships, Osaka, Japan, 459–468.Google Scholar
  12. Qiu W, Hsiung CC, 2002. A panel-free method for time-domain analysis of the radiation problem. J.Ocean Eng., 29(12), 1555–1561. DOI: http://dx.doi.org/10.1016/j.oceaneng.2014.05.011CrossRefGoogle Scholar
  13. Salvesen N, 1978. Added resistance of ships in waves, Journal of Hydronautics,12(1), 24–34.Google Scholar
  14. Seo MG, Yang KK, Park DM, Kim Y, 2014. Numerical analysis of added resistance on ships in short waves. Journal of Ocean Eng., 87, 97–110 DOI: http://dx.doi.org/10.1016/j.oceaneng.2014.05.011CrossRefGoogle Scholar
  15. Ström-Tejsen J, Hugh YH, Moran D, 1973. Added resistance in waves. Society of Naval Arch and Marine Eng., 81, 109–143.Google Scholar
  16. Washita H, Ohkusu M. 1992. The Green function method for ship motions at forward speed. J. Ship Tech Research, 39(2), 3–21.Google Scholar
  17. Zangeneh R, Yan T, Ghiasi M, 2012. The exact calculation of added resistance in waves. Proceedings of ASME 2012 International Mechanical Engineering Congress and Exposition, Volume 12: Vibration, Acoustics and Wave Propagation. Houston, Texas, USA, November 9–15.Google Scholar

Copyright information

© Harbin Engineering University and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Mechanical Eng.University of MaineOronoUSA
  2. 2.Department of Marin Tech.AmirKabir University of TechTehranIran

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