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Abstract

According to the forming reason and classification of the hull resistance, this paper puts forward a three dimensional RANS method to solve the wave-making resistance. The obtained numerical results are compared with the results obtained from numerical program based on Rankine source boundary element method and the results obtained from Experimental fluid dynamics (EFD) method. The conclusion is drawn that the three dimensional RANS method matches well with EFD method, and its accuracy is higher than Rankine source method. From the results of the used methods it appears that the value of shape factor $(1 + k)$ for three dimensional RANS method is slightly increased with the increase of Froude number, the free surface wave system of three dimensional RANS conforms to the characteristics of the Kelvin wave system, the height of wave crest for three dimensional RANS method is bigger than Rankine source method, while the wave trough is lower, and the variation tendency of wave profile based on three dimensional RANS method is almost the same with Rankine Source method. The proposed method is proved to be appropriate for engineering application.

Keywords

Three dimensional RANS method Rankine source method EFD method wave resistance shape factor wave pattern

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References

Bao-ji, Research on optimization design of hull lines and minimum resistance hull form, PhD thesis, Department of Naval Architecture and Ocean Engineering, Dalian University of Technology, China, 2009.

J.E.

Choi,

K.-S.

Min,

J.H.

Kim,

S.B.

Lee and

H.W.

Seo, Resistance and propulsion characteristics of various commercial ships based on CFD results, Ocean Engineering 37 (2010), 549–566. doi:10.1016/j.oceaneng.2010.02.007.

Chong-ben,

Ren-chuan,

Guo-ping and

She-ming, A method for ship resistance prediction based on CFD computation, Chinese Journal of Hydrodynamics 25(5) (2010), 579–585.

A.J.

Chorin, A numerical method for solving incompressible viscous flow problems, Journal of Computational Physics 2 (1967), 12–26. doi:10.1016/0021-9991(67)90037-X.

Ciortan,

Wanderley and

Guedes Soares, Turbulent free-surface flow around a Wigley hull using the slightly compressible flow formulation, Ocean Engineering 34 (2007), 1383–1392. doi:10.1016/j.oceaneng.2006.10.007.

C.W.

Dawson, A practical computer method for solving ship–wave problems, in: Proceeding of Second International Conference on Numerical Ship Hydrodynamics, 1977, pp. 30–38.

A.J.

Hess and

A.M.O.

Smith, Calculation of non-lifting potential flow about arbitrary three-dimensional bodies, Journal of Ship Research 8 (1964), 22–44.

J.J.

Gorski and

R.M.

Coleman Computations of the KVLCC2M tanker under yawed conditions, in: Proceedings of CFD Workshop 2005, Tokyo, Japan.

C.W.

Hirt and

B.D.

Nichols, Volume of fluid (VOF) method for the dynamics of free boundary, Journal of Computational Physics 39 (1981), 201–225. doi:10.1016/0021-9991(81)90145-5.

10.

R.H.M.

Huijsmans,

Van’t Veer and

Kashiwagi, Ship motion predictions: A comparison between a CFD based method, a panel method and measurements, in: 29th International Conference on Ocean, Offshore and Arctic Engineering, Vol. 3, 2010, pp. 685–691. doi:10.1115/OMAE2010-20522.

11.

R.I.

Issa, Solution of the implicitly discretised fluid flow equations by operator-splitting, Journal of Computational Physics 62 (1986), 40–65. doi:10.1016/0021-9991(86)90099-9.

12.

C.E.

Janson, Potential Flow Panel Methods for the Calculation of Free-Surface with Lift, Chalmers University of Technology, Sweden, 1997.

13.

Kun and

Tanaka, A study of optimal hull form for minimum resistance, Journal of Hydrodynamics 12(1) (1997), 113–122.

14.

S.E.

Norris, A parallel Navier–Stokes solver for natural convection and free surface flow, PhD thesis, Department of Mechanical Engineering, Sydney, Australia, 2000.

15.

I.R.

Park,

Kim and

S.H.

Van, Analysis of resistance performance of modern commercial ship in hull form using a level-set method, Journal of the Society of Naval Architects of Korea 41(2) (2004), 79–89 (in Korean). doi:10.3744/SNAK.2004.41.2.079.

16.

H.C.

Raven, A practical nonlinear method for calculating ship wave making and wave resistance, in: Preprints 19th Symp. on Naval Hydrodynamics, Seoul, Korea, 1992, pp. 60–75.

17.

Md.

Shahjada Tarafder and

Suzuki, Numerical calculation of free-surface potential flow around a ship using the modified Rankine source panel method, Ocean Engineering 35 (2008), 536–544. doi:10.1016/j.oceaneng.2007.11.004.

18.

Suzuki and

Iokamori, Studies on minimization of wave making resistance based on Rankine source method, Kansai Society of Naval Architecture in Japan 185 (1999), 9–19. doi:10.2534/jjasnaoe1968.1999.9.

19.

Tahara,

R.V.

Wilson,

P.M.

Carrica and

Stern, RANS simulation of a container ship using a single-phase level-set method with overset grids and the prognosis for extension to a self-propulsion simulator, Journal of Maritime Science and Technology 11 (2006), 209–228. doi:10.1007/s00773-006-0231-8.

20.

Takeshi,

Hino,

Hinatsu,

Tsukada and

Fujisawa, ITTC cooperative experiments on a Series 60 model at Ship Research Institute – Flow measurements and resistance test, 1987, pp. 10–13.

21.

H.K.

Versteeg and

Malalasekera, An Introduction to Computation Fluid Dynamics: The Finite Volume Method, Wigley, New York, 1995.

22.

R.V.

Wilson,

Shao and

Stern, Discussion: Criticisms of the “correction factor” verification method, Journal of Fluids Engineering 126 (2004), 704–706. doi:10.1115/1.1780171.

23.

Xing and

Stern, Factors of safety for Richardson extrapolation for industrial applications, IIHR technical report, 2008.

24.

Yakhot and

S.A.

Orzag, Renormalization group analysis of turbulence: Basic theory, Journal of Scientific Computing 1 (1986), 3–11. doi:10.1007/BF01061452.

25.

Yakhot and

D.B.

Spalding, Lectures in Mathematical Model of Turbulence, Academic Press, London, 1972.

A three-dimensional RANS method to numerically solve ship’s wave-making resistance compared with the Rankine source method

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