Objectives For figuring out the response of floating structures in the waves of shallow water, the main difficulty lies in the accurate solution and efficient calculation of Green's function and its partial derivative of the finite water depth.
Methods Therefore, a method is proposed to accurately calculate the Green's function and its partial derivative by using the improved Gauss-Laguerre quadrature; then by combining this method with circulant matrix principle, one approach for dealing with symmetry problem and a simplified way of series for solving the formula are given.Finally, the numerical results of this method are compared with those of other commercial software.
Results The analysis results show that the method proposed in this paper has high accuracy.
Conclusions This proposed method can be used to accurately estimate motions and wave loads of the floating structures in shallow water.
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