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


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.


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


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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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