Browse > Article
http://dx.doi.org/10.3744/JNAOE.2011.3.3.159

Comparison of potential and viscous methods for the nonlinear ship wave problem  

Kim, Jin (Korea Ocean Research & Development Institute)
Kim, Kwang-Soo (Korea Ocean Research & Development Institute)
Kim, Yoo-Chul (Korea Ocean Research & Development Institute)
Van, Suak-Ho (Korea Ocean Research & Development Institute)
Kim, Hyo-Chul (Department of Naval Architecture and Ocean Engineering, Seoul National University)
Publication Information
International Journal of Naval Architecture and Ocean Engineering / v.3, no.3, 2011 , pp. 159-173 More about this Journal
Abstract
The two different numerical approaches for solving the nonlinear ship wave problem are discussed in the present paper. One is based on a panel method, which neglects the viscous effects. The other is based on a finite volume method, which take into account the viscous effects by solving RANS equations. Focus is laid upon on the advantages and disadvantages of two methods. The developed methods are applied to calculating the flow around Series 60 hull to validate the performance of the present nonlinear methods. Although the two methods employ quite different numerical approaches, the calculated wave patterns from both methods show good agreements with the experiments. However the potential method simu-lates the global wave pattern accurately, while the viscous method shows better performance for the local wave prediction near a ship.
Keywords
Panel method; Finite volume method; Free surface flow; Wave pattern;
Citations & Related Records

Times Cited By Web Of Science : 0  (Related Records In Web of Science)
연도 인용수 순위
  • Reference
1 Raven, H.C., 1988. Variations on a theme by Dawson. 17th Symposium on Naval Hydrodynamics. Hague, The Netherlands.
2 Raven, H.C., 1996. A solution method for the nonlinear ship wave resistance problem. Ph.D. Thesis. Delft University of Technology. Hague, The Netherlands.
3 Rhie, C.M. and Chow, W.L., 1983. Numerical study of the turbulent flow past an aerofoil with trailing edge separation. AIAA J, 21(11), pp.1525-1532.   DOI   ScienceOn
4 Schumann, C., 1998. Computing free surface ship flows with a volume-of-fluid method. 7th Int. Symposium on Practical Design of Ships and Mobile Units. Hague, The Netherlands.
5 Soding, H., 1994. Incomplete Gauss elimination. Ship Technology Research. 41(2), pp.111-112.
6 Stone, H.L., 1968. Iterative solution of implicit approximations of multi-dimensional partial differential equations. SIAM J. Numer. Anal, 5(3), pp.530-558.   DOI   ScienceOn
7 Toda, Y. Stern, F. and Longo, J., 1991. Mean flow measurements in the boundary layer and wake field of a Series 60, CB = 0.6 ship model for Froude number 0.16 and 0.316. IIHR Report No. 352. Iowa, USA.
8 Hinatsu, M., 1992. Numerical simulation of unsteady viscous nonlinear waves using moving grid system fitted on a free surface. J. Kansai Soc. Naval Arch, 217, pp. 1-11.
9 Hino, T., 1994. A study of grid dependence in Navier-Stokes solutions for free surface flows around a ship hull. Journal of the Society Naval Architects of Japan, 176, pp.11-18.
10 Janson, C.E., 1997. Potential flow panel methods for the calculations of free-surface flows with lift. Ph.D. Thesis. Gothenburg: Chalmers University.
11 Khosla, P.K. and Rubin, S.G., 1974. A diagonally dominant second-order accurate implicit scheme. Computers and Fluids, 2(2), pp.207-209.   DOI   ScienceOn
12 Kim, D.H. Kim, W.J. Van, S.H. and Kim, H., 1998. Nonlinear potential flow calculation for the wave pattern of practical hull forms. 3th Int. Conf. on Hydrodynamics. Seoul, Korea.
13 Miyata, H. Sato, T. and Baba, T., 1987. Difference solution of a viscous flow with free-surface wave about an advancing ship. Journal of Computational Physics, 72, pp.393-421.   DOI   ScienceOn
14 Kim, J.J. Kim, H.T. and Van, S.H., 1998. RANS simulation of viscous flow and surface wave fields around ship models. Proc. of the third Osaka Colloquium on Advanced CFD Applications to Ship Flow and Hull Form Design. Osaka, Japan.
15 Kim, W.J. Kim, D.H. and Van, S.H., 1999. Calculation of turbulent flows around VLCC hull forms with stern frameline modification. 7th Int. Conf. Numerical Ship Hydrodynamics. Nantes, France.
16 Kodama, Y., 1994. An International Workshop for Improvement of Hull Form Designs. Proc. of CFD Workshop Tokyo. Tokyo, Japan.
17 Muzaferija, S. and Peric, M., 1997. Computation of free surface flows using finite volume method and moving grids. Numer. Heat Transfer, Part B, 32, pp.369-384.   DOI   ScienceOn
18 Ferziger, J.H. and Peric, M., 1996. Computational Methods for Fluid Dynamics. Springer-Verlag. Berlin.
19 Beddhu, M. Jiang, M.Y. Taylor, L.K. and Whitfield, D.L., 1998. Computation of steady and unsteady flows with a free Surface around the Wigley hull. Applied Mathematics and Computation, 89, pp.67-84.   DOI   ScienceOn
20 Farmer, J. Martinelli, L. and Jameson, A., 1994. Multigrid solutions of the Euler and Navier-Stokes equations for a Series 60 Cb=0.6 ship hull for Froude numbers 0, 0.160, 0.220, 0.316. Proc. of CFD Workshop. Tokyo, Japan.