A method is presented to calculate the resistance of a high-speed displacement ship taking the effect
of sinkage and trim and viscosity of fluid into account. A free surface flow field is evaluated by solving Reynolds
averaged Navier-Stokes (RANS) equations with volume of fluid (VoF) method. The sinkage and trim are computed
by equating the vertical force and pitching moment to the hydrostatic restoring force and moment. The software
Fluent, Maxsurf and MATLAB are used to implement this method. With dynamic mesh being used, the position
of a ship is updated by the motion of “ship plus boundary layer” grid zone. The hull factors are introduced for
fast calculating the running attitude of a ship. The method has been applied to the ship model INSEAN2340 for
different Froude numbers and is found to be efficient for evaluating the flow field, resistance, sinkage and trim.
YAO Chao-bang (姚朝帮), DONG Wen-cai (董文才)
. Method to Calculate Resistance of
High-Speed Displacement Ship Taking the Effect of
Dynamic Sinkage and Trim and Fluid Viscosity into Account[J]. Journal of Shanghai Jiaotong University(Science), 2012
, 17(4)
: 421
-426
.
DOI: 10.1007/s12204-012-1301-1
[1] Liu Ying-zhong. Theory of ship wave making resistance [M]. Beijing: National Defense Industry Press,2003 (in Chinese).
[2] Dawson C W. Calculations with the xyz free surface program for five ship models [C]// Proceedings
of the Workshop on Ship Wave-Resistance Computations. Bethesda, Maryland: [s.n.], 1979: 232-255.
[3] Yasukawa H. A rankine panel method to calculate steady wave-making resistance of a ship taking the effect
of sinkage and trim into account [J]. Transactions of the West-Japan Society of Naval Architects, 1993(86): 27-35.
[4] Yang C, L¨ohner R. Calculation of ship sinkage and trim using a finite element and unstructured grids [J].
International Journal of Computational Fluid Dynamics,2002, 16(3): 217-227.
[5] Wang Zhong. Nonlinear wave resistance numerical research and resistance characteristics analysis and resistance
reduction for trimarans [D]. Wu Han: Department of Naval Architecture & Ocean Engineering,
Naval University of Engineering, 2010 (in Chinese).
[6] Wang Zhong, Lu Xiao-ping, Wang Wei. Nonlinear wave making resistance calculation for transom-stern
ship with consideration of sinkage and trim [J]. Chinese Journal of Hydrodynamics, 2010, 25(3): 422-428 (in Chinese).
[7] Azcueta R. Computation of turbulent free-surface flows around ships and floating bodies [J]. Ship Technology
Research, 2002, 49: 999-1022.
[8] Gu Min, Wu Cheng-sheng, Jiang Yao-jun, et al. Numerical simulation on hydrodynamic characteristic of a
trunk ship [J]. Journal of Ship Mechanics, 2003, 7(7):15-20 (in Chinese).
[9] Gu M, Wu C S. CFD calculation for resistance of a ship moving near the critical speed in shallow water
[J]. Journal of Ship Mechanics, 2005, 9(6): 40-47.
[10] Wu Cheng-sheng, Chen Xiong, Sun Li-xian et al. Numerical simulation of free ship model towed in still water
[J]. Journal of Ship Mechanics, 2010, 14(8): 823-832 (in Chinese).
[11] Tarafder M S, Gazi K M. Calculation of ship sinkage and trim in deep water using a potential based
panel method [J]. International Journal of Applied Mechanics and Engineering. 2006, 11(2): 401-414.
[12] Olivieri A, Pistani F, Avanzini A, et al. Towing tank experiments of resistance, sinkage and trim,
boundary layer, wake, and free surface flow around a naval combatant INSEAN 2340 model [R]. Iowa, USA: University of Iowa, 2001.