A B-Spline Method Used to Calculate Added Resistance in Waves

• Published in: Journal of marine science and application 2017-03, Vol.16 (1), p.20-26
• Main Authors: Zangeneh, Razieh, Ghiasi, Mahmood
• Format: Article
• Language: English
• Subjects: B spline functions; Basis functions; B样条基函数; B样条曲线; Collocation methods; Computation; Economic impact; Electrical Machines and Networks; Engineering; Far fields; Geotechnical Engineering & Applied Earth Sciences; Integral equations; Machinery and Machine Elements; Naval engineering; Numerical analysis; Offshore Engineering; Potential flow; Power Electronics; Quadratures; Ship design; Ships; Velocity potential; Wave resistance; Waves; 数值计算; 格林公式; 波浪; 船舶设计; 附加电阻; 附加阻力
• ISSN: 1671-9433; 1993-5048
• DOI: 10.1007/s11804-017-1396-8

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.