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    Wu, Ping-Chen and Chen, Jiahn-Horng 2016. Numerical Study on Cavitating Flow due to a Hydrofoil near a Free Surface. Journal of Ocean Engineering and Science,

    Haoyue, Zhang Zhang, Shesheng Chao, Liu Xing, Chen and Weicang, Wang 2012. 2012 11th International Symposium on Distributed Computing and Applications to Business, Engineering & Science. p. 27.

    Zemlyanova, A. Y. and Antipov, Y. A. 2012. Single-spiral-vortex Model for a Cavitating Elastic Curvilinear Foil. SIAM Journal on Applied Mathematics, Vol. 72, Issue. 1, p. 280.

    Antipov, Y. A. and Zemlyanova, A. Y. 2009. Motion of a Yawed Supercavitating Wedge Beneath a Free Surface. SIAM Journal on Applied Mathematics, Vol. 70, Issue. 3, p. 923.

    Antipov, Y. A. and Zemlyanova, A. Y. 2009. Single- and double-spiral-vortex models for a supercavitating non-symmetric wedge in a jet. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 465, Issue. 2112, p. 3817.

    Kinnas, Spyros A. and Young, Yin L. 2003. Modeling of cavitating or ventilated flows using BEM. International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 13, Issue. 6, p. 672.

    Yasko, M. 1998. Boundary element method for a hydrofoil near the free surface. Engineering Analysis with Boundary Elements, Vol. 21, Issue. 2, p. 191.

    Kinnas, Spyros A. and Fine, Neal E. 1993. A numerical nonlinear analysis of the flow around two- and three-dimensional partially cavitating hydrofoils. Journal of Fluid Mechanics, Vol. 254, Issue. -1, p. 151.

    Ingber, Marc S. and Hailey, Chris E. 1992. Numerical modelling of cavities on axisymmetric bodies at zero and non-zero angle of attack. International Journal for Numerical Methods in Fluids, Vol. 15, Issue. 3, p. 251.

    Ingham, D. B. and Wen, X. 1991. Separating inviscid flows. Acta Mechanica, Vol. 86, Issue. 1-4, p. 1.

    Wen, X. and Ingham, D. B. 1991. Cavitating flows through a cascade of flat plates. International Journal for Numerical Methods in Fluids, Vol. 12, Issue. 6, p. 577.

    Lemonnier, H. and Rowe, A. 1988. Another approach in modelling cavitating flows. Journal of Fluid Mechanics, Vol. 195, Issue. -1, p. 557.

    Sato, Keiichi 1987. A nonlinear analysis of cavity flow based on conditions of momentum conservation. Fluid Dynamics Research, Vol. 2, Issue. 1, p. 65.

    Furuya, Okitsugu 1975. Three-dimensional theory on supercavitating hydrofoils near a free surface. Journal of Fluid Mechanics, Vol. 71, Issue. 02, p. 339.


Nonlinear calculation of arbitrarily shaped supercavitating hydrofoils near a free surface

  • Okitsugu Furuya (a1) (a2)
  • DOI:
  • Published online: 01 March 2006

A nonlinear exact solution to the problem of two-dimensional gravity-free incompressible potential flow around an arbitrarily shaped supercavitating hydrofoil near a free surface is obtained. A combination of Newton's method with a functional iterative procedure is used to solve the nonlinear integral and algebraic equations of this problem. Fast and stable convergence results by starting the iteration with a readily chosen initial solution. Some representative numerical computations are made for practical hydrofoils having both generally shaped camber and leading-edge thickness distributions. The force coefficients, pressure distribution and free-streamline shapes of the cavity are calculated for each case with an execution time on an IBM 370-158 of 200–530 s depending upon the initial trial solution.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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