An analysis of second-order wave forces on floating bodies by using a higher-order boundary element method |
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| Authors: | Yoon R Choi Sa Y Hong Hang S Choi |
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| Institution: | a Korea Research Institute of Ships and Ocean Engineering, P.O. Box 23, Yusong, Taejon 305-600, South Korea;b Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul 151-742, South Korea |
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| Abstract: | The wave diffraction and radiation problem is studied numerically by using a higher-order boundary element method. The convergence of the higher-order boundary element method is tested systematically for bodies of different shapes. For the second-order force, particular attention is paid to the contribution of the second-order potential, following the line of Molin's approach. For numerical evaluation, the free surface is divided into three subregions; inner, intermediate and outer ones. In the inner region, the integral is evaluated numerically by using higher-order boundary elements. In the intermediate region, semi-analytic form is constructed with the help of eigen functions. In the outer domain, the analytic solution is available. This subdivision scheme reduces the numerical burden remarkably. |
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| Keywords: | Higher-order boundary element method Second-order wave force Sum-frequency excitation Free surface integral Subdivision of free surface integral Eigen function expansion Analytic integration in infinite region |
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