Numerical prediction of ship hydrodynamics based on Taylor series expansion method

  • HU Wei ,
  • HUI Ning ,
  • WU Zhi-fei ,
  • ZHANG Teng ,
  • ZHOU Bo
Expand
  • (1.Offshore Oil Engineering Co., Ltd., Tianjin 300451, China; 2. State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture Engineering, Dalian University of Technology, Dalian 116024, China)

Received date: 2020-12-25

  Revised date: 2021-03-18

  Online published: 2021-03-18

Abstract

In order to reduce the numerical error of the threedimensional time domain Green function caused by unclear division between small time parameter and large time parameter, Taylor series expansion method was used to calculate the threedimensional time domain Green function in the junction between small time parameter region and large time region. Based on linear superposition principle, the ship radiation problem and diffraction problem were solved by using the impulse response function method. The Wigley I hull ship was taken as a study case, and the numerical results show that the accuracy of threedimensional time domain Green function is improved by four orders of magnitude in the junction between small time parameter region and large time region, and the hydrodynamic results of above method are in good agreement with other published results and experimental data, which proves the reliability of the hydrodynamic analysis model established in this paper.

Cite this article

HU Wei , HUI Ning , WU Zhi-fei , ZHANG Teng , ZHOU Bo . Numerical prediction of ship hydrodynamics based on Taylor series expansion method[J]. Journal of Dalian Maritime University, 2021 , 47(2) : 45 -55 . DOI: 10.16411/j.cnki.issn1006-7736.2021.02.006

References

[1] Salvesen, N., Tuck, E.O., and Faltinsen, O.W.. Ship motions and sea loads[J]. Transactions-Society of Naval Architects and Marine Engineers, 78 1970, 78:250-287. [2]Guevel, P.Bougis,J. Ship Motions with Forward Speed in Infinite Depth[J].International Shipbuilding Progress, 1982, 29(332):103-117 [3]Liapis, S.J.. Time domain analysis of ship motions[R]. Report No.302. The department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, Michigan, 1985. [4]Sun, W.Ren,HL.,Li,H.,et al.. Numerical solution for ship with forward speed based on transient green function method[J].Journal of Ship Mechanics, 2014, 18(12):1444-1452 [5] Sengupta, D., Datta, R., Sen, D. A simplified approach for computation of nonlinear ship loads and motions using a 3D time-domain panel method[J].Ocean Engineering, 2016, 117:99-113 [6]张腾, 任俊生, ÷天龙.基于傅汝德-克雷洛夫力非线性法的规则波浪中船舶运动数学模型[J].交通运输工程学报, 2020, 20(02):81-91 [7]Zhang, T., Ren, J.S., Mei, T.L.. Mathematical model of ship motions in regular waves based on Froude-Krylov force nonlinear method[J]. Journal of Traffic and Transportation Engineering, 2020, 20(02), 81-91. [8] King, B.W.. Time domain analysis of wave exciting forces on ships and bodies[R]. Report No. 306. The department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, Michigan, 1987. [9] Shan, P.H., Wang, Y.H., Wang, F.H., Wu, J.M., Zhu, R.C.. An efficient algorithm with new residual functions for the transient free surface green function in infinite depth[J]. Ocean. Engineering, 2019, 178, 435-441. [10] CLEMENT A H.An ordinary differential equation for the Green function of time-domain free-surface hydrodynamics[J]. Journal of Engineering Mathematics, 1998, 33(2), 201-217. [11]申亮, 朱仁传, 缪国平, 等.深水时域格林函数的实用数值计算[J].水动力学研究与进展, 2007, 22(3):380-386 [12]SHEN Liang, ZHU Ren-chuan, MIAO Guo-ping, et al.A practical numerical method for deep water time-domain Green function[J].Journal of Hydrodynamics, 2007, 22(3):380-386 [13] 童晓旺.船舶与海洋结构物运动的三维时域匹配方法研究[D]. 哈尔滨:哈尔滨工程大学, 2013年. [14]Tong, X.L.. Three-dimensional time domain hybrid method for ship and marine structure motions [D]. Harbin, Harbin Engineering University, 2013. [15]Chuang, J.M.,Qiu,W,Peng,H.. On the evaluation of time-domain Green function[J].Ocean Engineering, 2007, 34(7):962-969 [16] Li, Z.F., Ren, H.L., Tong, X.W., et al. A precise computation method of transient free surface Green function[J]. Ocean Engineering, 2015, 105: 318-326. [17] Zhong, W.X.. On precise integration method[J]. Journal of Computational and Applied Mathematics, 2004, 163: 59-78. [18] Journée J M J.Experiments and calculations on four Wigley Hull forms[R]. Faculty of Mechanical Engineering and Marine Technology, Delft University of Technology, 1992. Report 0909. [19]Hess J.L.,Smith A[J].M.O.. Calculation of non-lifting potential flow about arbitrary three-dimensional bodies. Journal of Ship Research, 1964, 8(2):22-44 [20]Magee, A.R., and Beck, R.F.. Compendium of ship motion calculations using linear time-domain analysis[R]. Dept. Naval Architects Marine Engineering, University of Michigan, Ann Arbor, Michigan, 1988. Report No. 310.
Outlines

/