GMRES（m）方法在海洋结构物时域水动力分析中的应用

摘要

In order to improve calculation efficiency of body boundary element method for solving hydrodynamic problem of offshore structure in time domain, the linear diffraction problem and nonlinear radiation problem is discussed based on three-dimensional potential flow theory. According to Galerkin principle, the GMRES (m) method is adopted to solve discredited linear algebraic equations arising from body boundary element algorithm. The numerical results are compared with some available results to validate present method. The results show that present approach is a suitable algorithm in solving large scale matrix. It has well convergence behavior, satisfactory agreement and high efficiency of computation.%为了提高海洋结构物时域水动力边界元方法的计算求解效率，基于三维时域势流理论，分别对浮体的线性绕射问题和非线性辐射问题进行数值计算，同时采用基于 Galerkin 原理的 GMRES（m）方法求解用时域水动力边界元方法离散得到的线性代数方程组，并与现有文献结果进行比较。研究结果表明，该方法适于求解时域水动力边界元分析中形成的非对称稠密线性方程组，具有较好的收敛特性。计算结果令人满意，求解效率高。