Song Tao, Li Jia-chun. Numerical Calculation For The Coefficients of Stokes Harmonic Waves of High Order[J]. Applied Mathematics and Mechanics, 1988, 9(7): 577-592.
Citation: Song Tao, Li Jia-chun. Numerical Calculation For The Coefficients of Stokes Harmonic Waves of High Order[J]. Applied Mathematics and Mechanics, 1988, 9(7): 577-592.

Numerical Calculation For The Coefficients of Stokes Harmonic Waves of High Order

  • Received Date: 1987-06-10
  • Publish Date: 1988-07-15
  • This paper has reformulated the mathematical model and boundary conditions in the semi-physical plan (x,ψ)by using W.H.Hui's method and suggested two new ways of numerical calculation for the coefficients of Stokes harmonic waves of high order. By transforming the perturbation parameter into a new one, we refind Cokelet's results (1977) of phase speed and semi-waveheight expressions.
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  • [1]
    李家春,深水波理论的新进展,力学进展,16,(1986),175-184.
    [2]
    Schwartz, L.W., Computer extension and analytic continuation of Stokes cxpansion for gravity waves, J.F.M., 62 (1974), 553-578.
    [3]
    Cokelet, E.D., Steep gravity waves on water of arbitrary umform depth, Phil. Trans. Roy. Soc., A 286 (1977), 183-230.
    [4]
    Hui, W.H., A new approach to steady flows with free surfaces, J. of Appl. Math. and Phys. (Z.A.M.P) 33, September (1982), 569-589.
    [5]
    Dubren Jacotin, M.L., Sur la determination rigoureuse des ondes permanants periodiques d'ampleur finie, J. Math. Pure et Appl., 13 (1934).
    [6]
    Longuet-Higgins, M.S., Integral properties of periodic gravity waves of finite amplitude, Proc. Roy. Soc. Lond., A 342. (1975), 157-174.
    [7]
    李家春,摄动级数收敛性的改进及其应用,《摄动法及其在力学中的应用》(钱伟长主编),科学出版社(1981), 263-309.
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