浮体浅水波浪载荷数值计算方法研究

杨鹏; 寇冠元; 朱学康; 刘成义; 高长华

doi:10.19693/j.issn.1673-3185.01346

浮体浅水波浪载荷数值计算方法研究

Numerical calculation method for wave loads of floating structures in shallow water

摘要

摘要:
目的在浅水环境下，对波浪中浮体的响应进行求解时，其主要难点在于对有限水深格林函数及其偏导数的准确求解和快速计算。
方法为此，利用改进的Gauss-Laguerre积分法，提出一种可精确计算有限水深格林函数及其偏导数的方法，结合循环矩阵原理，给出对称性的处理方法和简化的级数求解公式。并将所提方法与其他商业软件计算结果进行对比分析。
结果结果表明，所提计算方法精确度较高。
结论该方法可用于准确评估浅水中的浮体运动和波浪载荷。

Abstract:
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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