ハイブリッド型積分方程式法による浮体の定常動揺問題の数値解析

抄録

A hybrid integral-equation method is formulated for predicting the wave-induced motion of floating bodies of arbitrary three-dimensional form. It is based upon the direct application of Green's second identity and uses the simple fundamental solution (i.e. a simple source) rather than the special Green's function. The boundary element idealisation is used only in an inner fluid region close to the body and local depth irregularities, while an analytical solution is employed in the outer region of constant depth extending to infinity. The two representations are matched on a fictitious vertical cylindrical surface. Numerical results are presented for a variety of geometries, including a floating sphere, a submerged horizontal pontoon and a semi-submersible platform. It is shown that the use of quadratic isoparametric boundary elements results in considerable improvement of the accuracy and efficiency of the hybrid integral-equation method, as compared with the existing numerical techniques such as the classical boundary integral equation method and the hybrid finite element method.