Integrated Green's Function Method for 3 dimensional Unsteady Flow Field around an Advancing Ship

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  • 積分Green関数法に基づく3次元非定常波動流場の計算法
  • セキブン Green カンスウホウ ニ モトズク 3ジゲン ヒテイジョウ ハド
  • 積分Green関数法に基づく3次元非定常波動流場の計算法 : その1 積分Green関数の性質について
  • On the properties of Integrated Green's Function
  • その1 積分Green関数の性質について

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Abstract

A numerical method to solve integral equation using Green's function for harmonically oscillating three dimensional flow field around an advancing ship is presented. The method named as “The integrated Green's Function Method” is based on idea that the singular behavior of the kernel of Fourier integral type can be removed by integrating spatially before making inverse transform. In doing so, trapeziod plane panel with constant singularity strength is assumed and the Green's function is integrated analytically over the panel to give well behaved coefficients of linear equations for the integral equation. The analytical properties of the derived coefficient are examined and are shown to be good enough to give stable numerical estimation for all cases of panel arrangement. Moreover, the method proves to be capable of making estimation of effect of the line integral term.

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