Abstract
A modification of Yeung’s boundary-integral method of solving the linear boundary-value problem related to the frequency-domain hydrodynamic characteristics of arbitrary smooth contours intersecting the free surface of the fluid has been further developed. The modification relates to the integral equation’s discretization step and consists in substituting the orthodox one-point collocation with another collocation method satisfying the integral equation in the mean over each rectilinear segment in the polygonal approximation of the contour. Relatively complicated in fluence functions were evaluated analytically. Numerical tests demonstrate that the suggested method shows better accuracy at equal number of panels (segments) and is robust and reliable enough to be recommended for practical calculations.
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