能效设计指数（EEDI）的推出对船舶设计提出了更高要求。波浪增阻的快速预报在船舶型线设计中具有重要意义。本文提出一种混合的波浪增阻计算方法，结合经验公式和势流理论优势的同时规避了二者的缺点。在波长较长时，采用切片理论预报船体运动响应并使用Salvensen法对波浪增阻进行预报。在波长较短时，采用Faltinsen经验公式或者藤井和高桥的近似公式进行波浪增阻计算。引入一个过渡函数实现长短波中波浪增阻预报结果平稳过渡。对Wigley3、KVLCC2船和一艘50000 t油船在规则入射波下航行时的阻力增加进行数值计算，并与试验值和其他计算数据进行比较，验证了该方法的可靠性和适用性。
The energy efficiency design index (EEDI) puts forward higher requirements for ship design. Corresponding, the rapid prediction of added resistance in waves is of great significance. In this paper, a hybrid method for the calculation of added resistance in waves is proposed., which combines the advantages of the empirical formula and the potential flow theory while avoiding the disadvantages of both. For the long wave, STF method is adopted to predict the motion response of ships in waves and the added wave resistance is calculated by the Salvensen method. For short wave, empirical formula proposed by Faltinsen or Fujii and Takahashi is adopted. A transition function is introduced to realize the smooth transition between the added wave resistances in long wave and short wave wave. The added resistance of Wigley3、KVLCC2 and an oil tanker in waves are calculated and analyzed, and the corresponding numerical results agree well with experimental data. Thus, the reliability and applicability of the present method is verified.
2025,47(6): 49-54 收稿日期：2024-5-4
DOI：10.3404/j.issn.1672-7649.2025.06.008
分类号：U661.32
作者简介：黄山（1991 – ），男，博士，工程师，研究方向为船舶水动力学
参考文献：
[1] HAVELOCK T H. The drifting force on a ship among waves[J]. Phil. Mag. , 1942.
[2] MARUO. The excess resistance of a ship in rough seas[J]. International Shipbuiding Progress, 1957, 4(35): 337-345.
[3] GERRITSMA J, BEUKELMAN W. Analysis of the resistance increase in waves of a fast cargo ship[J]. International Shipbuiding Progress, 1972, 19: 285-293.
[4] MATULJA D, SPORTELLI M, GUEDES S C, et al. Estimation of added resistance of a ship in regular waves[J]. Brodogradnja, 2011, 62(3): 259-264.
[5] 段文洋, 王瑞锋, 马卫星, 等. 高速船波浪增阻数值预报方法研究[J]. 船舶力学, 2014, 18(10): 1175-1183.
[6] LIU S, PAPANIKOLAOU A, ZARAPHONITIS G. Prediction of added resistance of ships in waves[J]. Ocean Engineering, 2011, 38(4): 641-650.
[7] SONG X, ZHANG X, BECK R. Numerical study on added resistance of ships based on time-domain desingularized-Rankine panel method[J]. Ocean Engineering, 2022, 248: 110713.
[8] FUJII H, TAKAHASHI T. Experimental Study on the resistance increase of a ship in regular oblique waves[C]//Proceeding of 14th ITTC, 1975.
[9] FALTINSEN O M, MINSASS K J, LIAPIS N, et al. Prediction of resistance and propulsion of a ship in a seaway[C]// Proceeding of 13th Symposium on Naval Hydrodynamics, Tokyo, Japan, 1980.
[10] LIU S, PAPANIKOLAOU A. Regression analysis of experimental data for added resistance in waves of arbitrary heading and development of a semi-empirical formula[J]. Ocean Engineering, 2020, 206: 107357.
[11] LIU S, PAPANIKOLAOU A. Improvement of the prediction of the added resistance in waves of ships with extreme main dimensional ratios through numerical experiments[J]. Ocean Engineering, 2023, 273: 113963.
[12] 赵博文, 张大朋, 严谨. KVLCC2在斜浪中的运动响应与附加阻力研究[J]. 机电工程技术, 2023, 52(9): 12-16.
[13] 袁帅, 张杰杰, 王金宝, 等. 浅窄航道中迎浪航行船舶的运动和波浪增阻数值预报研究[J]. 中国造船, 2024, 65(2): 139-154.
[14] 刘树魁. 波浪增阻预报的研究现状与未来展望[J]. 船舶, 2023, 34(3): 1-24.
[15] MITTENDORF M, NIELSEN U D, BINGHAM H B. Data-driven prediction of added-wave resistance on ships in oblique waves—A comparison between tree-based ensemble methods and artificial neural networks[J]. Applied Ocean Research, 2022, 118: 102964.
[16] SALVESEN N. Added resistance of ships in waves[J]. Journal of Hydronautics, 1978, 12(1): 24-34.
[17] SALVESEN N. Second-order steady state forces and moments on surface ships in oblique regular waves[C]//International Symposium on Dynamics of Marine Vehicles and Structures in Waves, Paper. 1974.
[18] JOURNÉE J M J. Experiments and calculations on 4 Wigley hull forms in head waves[R]. Delft University of Technology, 1992.
[19] LARSSON L, STERN F, VISONNEAU M. Numerical ship hydrodynamics [C]//A Workshop on Numerical Ship Hydrodynamics. Gothenburg, Sweden, 2010.
[20] 曹阳, 朱仁传, 蒋银, 等. 波浪中KVLCC2运动与阻力增加的CFD计算及分析[J]. 哈尔滨工程大学学报, 2017, 38(12): 1828-1835.
