CHEN Zhi-min, W.G.Price. Dissipative Free-Surface Solver for the Potential Flow Around a Hydrofoil Distributed With Doublets[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1366-1378. doi: 10.3879/j.issn.1000-0887.2012.11.011
Citation: CHEN Zhi-min, W.G.Price. Dissipative Free-Surface Solver for the Potential Flow Around a Hydrofoil Distributed With Doublets[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1366-1378. doi: 10.3879/j.issn.1000-0887.2012.11.011

Dissipative Free-Surface Solver for the Potential Flow Around a Hydrofoil Distributed With Doublets

doi: 10.3879/j.issn.1000-0887.2012.11.011
  • Received Date: 2012-01-10
  • Rev Recd Date: 2012-06-22
  • Publish Date: 2012-11-15
  • A doublet integral equation was formulated for a two-dimensional dissipative potential flow around a hydrofoil submerged below the free-water surface. The free-water surface was assumed to involve energy dissipation and thus was source of damping. A doublet panel method was developed from incorporation of dissipative Green function approach and doublets distribution on the hydrofoil surface. Numerical computations were implemented and derived numerical results were in good agreement with analytic solutions and experimental measurements.
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  • [1]
    Batchelor G K. An Introduction to Fluid Dynamics[M]. Cambridge:Cambridge University Press, 1967.
    [2]
    Lamb H. Hydrodynamics[M]. sixth edition. Cambridge:Cambridge University Press, 1932.
    [3]
    Newman J N. Evaluation of the wave-resistance Green function—part 1: the double integrals[J]. Journal of Ship Research, 1987, 31(2): 79-90.
    [4]
    Inglis R B, Price W G. Calculation of the velocity potential of a translating pulsating source[J]. Transactions of Royal Institution of Naval Architects, 1981, 123: 163-175.
    [5]
    Inglis R B, Price W G A. Three dimensional ship motion theory: comparison between theoretical predictions and experimental data of the hydrodynamic coefficients with forward speed[J]. Transactions of Royal Institution of Naval Architects, 1981, 124:141-157.
    [6]
    Hess J L, Smith A M O. Calculation of potential flow about arbitrary bodies[J]. Progress in Aeronautical Sciences, 1966, 8: 1-138.
    [7]
    Giesing J P, Smith A M O.Potential flow about two-dimensional hydrofoil[J].Journal of Fluid Mechanics, 1967, 28(1): 113-129.
    [8]
    Dawson C W. A practical computer method for solving ship wave problems[C]Proceedings of 2nd International Conference on Numerical Ship Hydrodynamics.Berkeley:University of California, 1977:30-38.
    [9]
    Kouh J S, Lin T J, Chau S W. Performance analysis of two-dimensional hydrofoil under free surface[J].Journal of Engineering at National Taiwan University, 2002, 86: 113-123.
    [10]
    Yeung R W, Bouger Y C.Hybrid integral-equation method for the steady ship-problem[C]Second International Conference on Numerical Ship Hydrodynamics, Berkeley, 1977:160-175.
    [11]
    Yeung R W, Bouger Y C. A hybrid integral-equation method for steady two-dimensional ship waves[J]. International Journal for Numerical Methods in Engineering, 1979, 14 (3):317-336.
    [12]
    Faltinsen O M, Semenov Y A.The effect of gravity and cavitation on a hydrofoil near the free surface[J].Journal of Fluid Mechanics, 2008, 597(1):371-394.
    [13]
    Wehausen J V, Laitone E V.Surface Waves, Handbuch der Physik[M].Berlin:Springer, 1960, 9:446-778.
    [14]
    Bessho M. On the fundamental singularity in the theory of ship motions in a seaway[J]. Memories of the Defense Academy Japan, 1977, 17(3): 95-105.
    [15]
    Iwashita H, Ohkusu M. The green function method for ship motions at forward speed[J].Ship Technology Research, 1992, 39(2): 3-21.
    [16]
    Chen Z M. A vortex based panel method for potential flow simulation around a hydrofoil[J].Journal of Fluids and Structures, 2012, 28(1):378-391.
    [17]
    Katz J, Plotkin A. Low-Speed Aerodynamics[M]. Cambridge: Cambridge University Press, 2001.
    [18]
    Havelock T H. Wave Resistance[J].Proceedings of the Royal Society of London, Series A, 1928, 118(779): 24-33.
    [19]
    Bondarenko N F, Gak M Z, Dolzhanskiy F V. Laboratory and theoretical models of plane periodic flows[J]. Izvestiya, Atmospheric and Oceanic Physics, 1979, 15(10):711-716.
    [20]
    Chen Z M, Price W G. Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: wall-bounded flows[J].Proceedings of the Royal Society of London, Series A, 2002, 458(2027):2735-2757.
    [21]
    Chen Z M, Price W G. Secondary fluid flows driven electromagnetically in a two-dimensional extended duct[J]. Proceedings of the Royal Society of London, Series A, 2005, 461(2058):1659-1683.
    [22]
    Ausman J S.Pressure limitation on the upper surface of a hydrofoil[D]. Ph D thesis.Berkeley:Mechanical Engineering at the University of California, 1954.
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