Boundary element method incorporated with free-surface Green's function (FSGF) is commonly used for radiation and diffraction problems of a floating body. In the solution of the boundary integral equation, it is important to obtain the integral of FSGF over panels. However, most of the research studies focus on the numerical calculation of FSGF. In the present paper, the spatial distribution of FSGF is explicitly analysed, and its drastic oscillation on the horizontal level appears. Thus the uniformly distributed horizontal line segment source of FSGF is derived. Then a practical numerical scheme for the panel integral of FSGF is proposed, in which the panel integral is considered as the summation of integrations on several horizontal line segments. Compared with the Gauss–Legendre quadrature, numerical results indicate its superiority. Furthermore, the present approach is applied to evaluate the hydrodynamic coefficients of floating bodies. Satisfactory predictions are obtained. [ABSTRACT FROM AUTHOR]
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