Browse > Article
http://dx.doi.org/10.12989/ose.2017.7.4.371

A comparison of the neumann-kelvin and rankine source methods for wave resistance calculations  

Yu, Min (Department of Ocean Engineering, Texas A&M University)
Falzarano, Jeffrey (Department of Ocean Engineering, Texas A&M University)
Publication Information
Ocean Systems Engineering / v.7, no.4, 2017 , pp. 371-398 More about this Journal
Abstract
Calm water wave resistance plays a very important role in ship hull design. Numerical methods are meaningful for this reason. In this study, two prevailing methods, the Neumann-Kelvin and the Rankine source method, were implemented and compared. The Neumann-Kelvin method assumes linearized free surface boundary condition and only needs to mesh the hull surface. The Rankine source method considers nonlinear free surface boundary condition and meshes both the ship hull surface and free surface. Both methods were implemented and the wave resistance of a Wigley III and three Series 60(Cb=0.6, 0.7, 0.8) hulls were analyzed. The results were compared with experimental results and the merits of both numerical techniques were quantified. Based on the results, it is concluded that the Rankine source method is more accurate in the calculation of the wave-making resistance. Using the Neumann-Kelvin method, it is found to be easier to model the hull and can be used for slender ships to solve problems like wave current coupling calculation.
Keywords
calm water wave resistance; Neumann-Kelvin method; rankine source method; experiment; nonlinear free surface boundary condition;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Michell, J. (1898), "The wave-resistance of a ship", Phil. Mag., 45(5), 106-123.   DOI
2 Havelock, T. (1928), "Wave resistance", Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 118(779), 24-33.   DOI
3 Havelock, T. (1932), "The theory of wave resistance", Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 138(835), 339-348.   DOI
4 Peters, A.S. (1949), "A new treatment of the ship wave problem", Communications on pure and applied mathematics, 2(2-3), 123-148.   DOI
5 Noblesse, F. (1981), "Alternative integral representations for the Green function of the theory of ship wave resistance", J. Eng. Math., 15(4), 241-265.   DOI
6 Hess, J.L. and Smith, A. (1962), "Calculation of non-lifting potential flow about arbitrary three-dimensional bodies", Technical Report, DTIC Document.
7 Newman, J. (1987), "Evaluation of the wave-resistance green function. I: The double integral", J. Ship Res., 31(2), 79-90.
8 Ponizy, B. and Noblesse, F. (1994), "Numerical evaluation of free-surface Green functions", J. Ship Res., 193-202.
9 Baar, J. (1986), "A three-dimensional linear analysis of steady ship motion in deep water", Ph.D. Dissertation, Brunel University School of Engineering and Design, U.K.
10 Baar, J. and Price, W. (1988), "Developments in the Calculation of the Wavemaking Resistance of Ships", in "Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences", The Royal Society, 416, 115-147.   DOI
11 Bessho, M. (1964), "On the fundamental function in the theory of the wave-making resistance of ships", Mem. Def. Academ., Jap., 4(2), 99-119.
12 Ursell, F. (1960), "On Kelvin's ship-wave pattern", J. Flu. Mech., 8(03), 418-431.   DOI
13 Marr, G.P. (1996), "An investigation of Neumann-Kelvin ship wave theory and its application to yacht design", Ph.D. Dissertation, ResearchSpace Auckland, U.S.A.
14 Wang, H. and Rogers, J. (1989), "Numerical evaluation of the complete wave-resistance Green's function using Bessho's approach", Proceedings of the 5th International Conference on Numerical Ship Hydrodynamics.
15 Abramowitz, M. and Stegun, I.A. (1964), Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables, Courier Corporation, Washington D.C., U.S.A.
16 Levin, D. (1982), "Procedures for computing one-and two-dimensional integrals of functions with rapid irregular oscillations", Math. Comput., 38(158), 531-538.   DOI
17 Hess, J. and Smith, A. (1967), "Calculation of potential flow about arbitrary bodies", Progr. Aerosp. Sci., 8, 1-138.   DOI
18 Motygin, O.V. (2014), On Computation of Oscillating Integrals of Ship-Wave Theory, arXiv Preprint arXiv:1411.0321.
19 Levin, D. (1997), "Analysis of a collocation method for integrating rapidly oscillatory functions", J. Comput. Appl. Math., 78(1), 131-138.   DOI
20 Faddeyeva, V., Terentev, N. and Fok, V. (1961), Tables of the probability integral for complex argument, Pergamon Press, Oxford, U.K.
21 Maruo, H. (1966), "A note on the higher order theory of thin ships", Bulletin of the Faculty of Engineering, Yokohama National University, 15, 1-21.
22 Eggers, K.W.H. (1966), "On second order contribution to ship waves and wave resistance", Proceedings of the 6th Symposium on Naval Hydrodynamics, Washington, U.S.A.
23 Wehausen, J.V. (1967), Use of Lagrangian Coordinates for Ship Wave Resistance (First and Second Order Thin-Ship Theory), Technical Report, DTIC Document.
24 Yim, B. (1968), "Higher order wave theory of ships", J. Ship Res., 237-245.
25 Guilloton, R. (1964), "L'etude theorique du bateau en fluide parfait", Bull. Assoc. Tech. Maritime Aero., 64, 537-552.
26 Guilloton, R. (1965), "La pratique du calcul des isobares sur une carene linearisee", Bull. Ass. Tech. Mar. Aeronaut., 65, 379-394.
27 Dawson, C. (1977), "A practical computer method for solving ship-wave problems", Proceedings of the 2nd International Conference on Numerical Ship Hydrodynamics, DTIC Document, 30-38.
28 Han, P. and Olson, M. (1987a), "An adaptive boundary element method", J. Numer. Meth. Eng., 24(6), 1187-1202.   DOI
29 Raven, H.C. (1998), "Wave pattern analysis applied to nonlinear ship wave calculations", Proceedings of the 13th International Workshop on Water Waves and Floating Bodies, the Netherlands.
30 Schultz,W.W. and Hong, S. (1989a), "Solution of potential problems using an overdetermined complex boundary integral method", J. Comput. Phys., 84(2), 414-440.   DOI
31 Raven, H. (1996), "A solution method for the nonlinear ship wave resistance problem", Ph.D. Dissertation, Scheepsbouwkundig Ingenieur Geboren Te Utrecht, Amsterdam, the Netherlands.
32 Janson, C.E. (1997), Potential flow panel methods for the calculation of free-surface flows with lift, Chalmers University of Technology, Sweden.
33 Hess, J.L. et al. (1980), "A higher order panel method for three-dimensional potential flow", Proceedings of the 7th Australasian Conference on Hydraulics and Fluid Mechanics, Institution of Engineers, Australia, 517.
34 Guha, A. (2012), "Development of a computer program for three dimensional frequency domain analysis of zero speed first order wave body interaction", Ph.D. Dissertaion, Texas A&M University, College Station, U.S.A.
35 Guha, A. and Falzarano, J. (2015a), "Application of multi objective genetic algorithm in ship hull optimization", Ocean Syst. Eng., 5(2), 91-107.   DOI
36 Guha, A. and Falzarano, J. (2015b), "The effect of hull emergence angle on the near field formulation of added resistance", Ocean Eng., 105, 10-24.   DOI
37 Brard, R. (1972), "The representation of a given ship form by singularity distributions when the boundary condition on the free surface is linearized", J. Ship Res., 16(1).
38 Wehausen, J.V. and Laitone, E.V. (1960), "Surface waves", in "Fluid Dynamics/Stromungsmechanik", Springer, 446-778.
39 Cao, Y. (1991a), Computation of Nonlinear Gravity Waves by a Desingularized Boundary Integral Method, Technical Report, DTIC Document.
40 Gentleman, W.M. (1972), "Implementing Clenshaw-Curtis quadrature, I methodology and experience", Commun. ACM, 15(5), 337-342.   DOI
41 Schultz,W.W. and Hong, S. (1989b), "Solution of potential problems using an overdetermined complex boundary integral method", J. Comput. Phys., 84(2), 414-440.   DOI
42 Musker, A. (1989), "A panel method for predicting ship wave resistance", Proceedings of the 17th Symposium on naval hydrodynamics, 143-150.
43 Cao, Y. (1991b), Computation of Nonlinear Gravity Waves by a Desingularized Boundary Integral Method, Technical Report, DTIC Document.
44 Todd, F.H. (1963), Series 60 Methodical Experiments with Models of Single-Screw Merchant Ships, Technical Report, David Taylor Model Basin Washington, U.S.A.
45 Lewis, E.V. (1988), Principles of Naval Architecture Second Revision, Jersey: SNAME.
46 Yu, M. and Falzarano, J. (2017), "Comparison of direct pressure integration and wave cut analysis for wave resistance calculations using nonlinear Rankine panel method", J. Ocean Eng. Mar. Energy.
47 Xie, Z.T., Yang, J.M., Hu, Z.Q., Zhao, W.H. and Zhao, J.R. (2015), "The horizontal stability of an FLNG with different turret locations", J. Nav. Archit. Ocean Eng., 7(2), 244-258.   DOI
48 Liu, Y. and Falzarano, J.M. (2016), "Suppression of irregular frequency in multi-body problem and freesurface singularity treatment", in "Proceedings of the 35th International Conference on Ocean, Offshore and Arctic Engineering", American Society of Mechanical Engineers.
49 Han, P. and Olson, M. (1987b), "An adaptive boundary element method", J. Numer. Meth. Eng., 24(6), 1187-1202.   DOI
50 Guha, A. and Falzarano, J. (2016), "Estimation of hydrodynamic forces and motion of ships with steady forward speed", Int. Shipbuild. Progr., 62(3-4), 113-138.   DOI