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.
Similar content being viewed by others
References
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.2008.02.007
Gerritsma J, Beukelman W, 1972. Analysis of the resistance increase in waves of a fast cargo ship. International Shipbuilding Proceeding. 19.
Iwashita H, Ohkusu M, 1992. The Green function method for ship motions at forward speed. J. Ship Tech Research, 39(2), 3–21.
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.
Journee J M J, 1992. Experiments and calculations on Wigley hull forms in head waves. DUT-SHLReport 0909.
Kashiwagi M, 1997. Numerical seakeeping calculations based on the slender ship theor. Ship Tech Research, 44,167–192.
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.
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.2010.12.007
Maruo H, 1963. Resistance in waves. Soc. Nav. Arch. Japan 60t Anniv.Ser, 8, 67–102.
Maruo H, 1957. The excess resistance of a ship in rough seas. International Shipbuilding Progres, 4(35), 337–345.
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.
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.2014.05.011
Salvesen N, 1978. Added resistance of ships in waves, Journal of Hydronautics,12(1), 24–34.
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.2014.05.011
Ström-Tejsen J, Hugh YH, Moran D, 1973. Added resistance in waves. Society of Naval Arch and Marine Eng., 81, 109–143.
Washita H, Ohkusu M. 1992. The Green function method for ship motions at forward speed. J. Ship Tech Research, 39(2), 3–21.
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zangeneh, R., Ghiasi, M. A B-spline method used to calculate added resistance in waves. J. Marine. Sci. Appl. 16, 20–26 (2017). https://doi.org/10.1007/s11804-017-1396-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11804-017-1396-8