Analysis of Added Resistance in Short Waves

단파장 영역에서의 부가저항 해석

Yang, Kyung-Kyu;Seo, Min-Guk;Kim, Yonghwan

  • Received : 2013.11.18
  • Accepted : 2015.08.13
  • Published : 2015.08.20


In this study, the added resistance of ships in short waves is systematically studied by using two different numerical methods - Rankine panel method and Cartesian grid method – and existing asymptotic and empirical formulae. Analysis of added resistance in short waves has been preconceived as a shortcoming of numerical computation. This study aims to observe such preconception by comparing the computational results, particularly based on two representative three-dimensional methods, and with the existing formulae and experimental data. In the Rankine panel method, a near-field method based on direct pressure integration is adopted. In the Cartesian grid method, the wave-body interaction problem is considered as a multiphase problem, and volume fraction functions are defined in order to identify each phase in a Cartesian grid. The computational results of added resistance in short waves using the two methods are systematically compared with experimental data for several ship models, including S175 containership, KVLCC2 and Series 60 hulls (CB = 0.7, 0.8). The present study includes the comparison with the established asymptotic and empirical formulae in short waves.


Added resistance;Rankine panel method;Cartesian grid method;Short-wave approximation;EEDI


  1. Visonneau, M. Queutey, P. Leroyer, A. Deng, G.B. & Guilmineau, E., 2008. Ship motions in moderate and steep waves with an interface capturing method. 8th International Conference on Hydrodynamics, Nantes, France, 30 September-3 October 2008.
  2. Xiao, F. Honma, Y. & Kono, T., 2005. A Simple Algebraic Interface Capturing Scheme Using Hyperbolic Tangent Function. International Journal for Numerical Methods in Fluids, 48(9), pp.1023-1040.
  3. Yang, K.K. Nam, B.W. Lee, J.H. & Kim, Y., 2012. Analysis of Large-Amplitude Ship Motions using a Cartesian-Grid-based Computational Method. Journal of the Society of Naval Architects of Korea, 49(6), pp.461-468.
  4. Yang, K.K. Lee, J.H. Nam, B.W. & Kim, Y., 2013. Analysis of Added Resistance using a Cartesian-Grid-based Computational Method. Journal of the Society of Naval Architects of Korea, 50(2), pp.79-87.
  5. Yokoi, K., 2007. Efficient Implementation of THINC Scheme: A Simple and Practical Smoothed VOF Algorithm. Journal of Computational Physics, 226(2), pp.1985-2002.
  6. Lee, J.H. Seo, M.G. Park, D.M. Yang, K.K. Kim, K.H. & Kim, Y., 2013. Study on the effects of hull form on added resistance. Proceeding of the 12th international symposium on practical design of ships and other floating structures, Changwon, Korea, 21-25 October 2013.
  7. Maruo, H., 1960. The Drift of a Body Floating on Waves. Journal of Ship Research, 4(3), pp.1-10.
  8. Nakamura, S. & Naito, S., 1977. Propulsive Performance of a Containership in Waves. Journal of the Society of Naval Architects of Japan, 15, pp.24-48.
  9. Orihara, H. & Miyata, H., 2003. Evaluation of Added Resistance in Regular Incident Waves by Computational Fluid Dynamics Motion Simulation using an Overlapping Grid System. Journal of Marine Science and Technology, 8(2), pp.47-60.
  10. Sadat-Hosseini, H. Wu, P.C. Carrica, P.M. Kim, H. Toda, Y. & Stern, F., 2013. CFD Verification and Validation of Added Resistance and Motions of KVLCC2 with Fixed and Free Surge in Short and Long Head Waves. Ocean Engineering, 59, pp.240-273.
  11. Seo, M.G. Kim, K.H. Park, D.M. & Kim, Y., 2013. Comparative Study on Added Resistance for Different Hull Forms by using Weakly-Nonlinear Seakeeping Formulations. Journal of the Society of Naval Architects of Korea, 50(1), pp.49-58.
  12. Storm-Tejsen, J. Yeh, H.Y.H. & Moran, D.D., 1973. Added Resistance in Waves. Transactions – The Society of Naval Architects and Marine Engineers, 81, pp.250-279.
  13. Tsujimoto, M. Shibata, K. Kuroda, M. & Takagi, K., 2008. A Practical Correction Method for Added Resistance in Waves. Journal of the Japan Society of Naval Architects and Ocean Engineers, 8, pp.141-146.
  14. Faltinsen, O.M. Minsaas, K.J. Liapis, N. & Skjørdal, S.O., 1980. Prediction of Resistance and propulsion of a ship in a seaway. Proceeding of 13th Symposium on Naval Hydrodynamics, Tokyo, Japan, 6-10 October 1980.
  15. Fonseca, N. & Soares, C.G., 2004. Experimental Investigation of the Nonlinear Effects on the Vertical Motions and Loads of a Containership in Regular Waves. Journal of Ship Research, 48(2), pp.118-147.
  16. Fujii, H. & Takahashi, T., 1975. Experimental study on the resistance increase of a ship in regular oblique waves. Proceeding of the 14th International Towing Tank Conference, Ottawa, September 1975.
  17. Hu, C. & Kashiwagi, M., 2007. Numerical and experimental studies on three-dimensional water on deck with a modified wigley model. 9th International Conference on Numerical Ship Hydrodynamics, Ann Arbor, Michigan, 5-8 August 2007.
  18. Joncquez, S.A.G., 2009. Second-Order Forces and Moments Acting on Ships in Waves. PhD Thesis, Technical University of Denmark.
  19. Kashiwagi, M. Takehiro, I. & Takuma, S., 2009. Effect of forward speed of a ship on added resistance in waves. Proceeding of 19th International Offshore and Polar Engineering Conference, Osaka, Japan, 21-26 June 2009.
  20. Kim, K.H. & Kim, Y., 2010. Numerical Analysis of Added Resistance on Ships by a Time-Domain Rankine Panel Method. Journal of the Society of Naval Architects of Korea, 47(3), pp.398-409.
  21. Kim, K.H. & Kim, Y., 2011. Numerical Study on Added Resistance of Ships by using a Time-Domain Rankine Panel Method. Ocean Engineering, 38, pp.1357-1367.
  22. Kuroda, M. Tsujimoto, M. Fujiwara, T. Ohmatsu, S. & Takagi, K., 2008. Investigation on Components of Added Resistance in Short Waves. Journal of the Japan Society of Naval Architects and Ocean Engineers, 8, pp.171-176.
  23. Choi, Y.R. Hong, S.Y. & Choi, H.S., 2000. An Analysis of Second-Order Wave Forces on Floating Bodies by using a Higher-Order Boundary Element Method. Ocean Engineering, 28, pp.117-138.

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