格林函数数值计算是势流方法求解船舶在波浪中运动响应的核心。本文对三维脉动源格林函数的数值计算进行研究。对格林函数全域计算公式进行改进，将该格林函数的数值误差作为剩余函数，并选用双重Chebyshev多项式进行逼近，提高了格林函数全域计算公式的精度；对浮体波浪中运动响应及二阶平均漂移力进行预报，并与试验结果及其他数值结果进行比较，验证了本文方法在水动力计算中的可靠性。
When the potential flow method is used to calculate the motion response of the ship in the wave, the numerical calculation of the Green's function is the most critical part. In present study, the numerical calculation of the 3D pulsating source Green's function is studied. To improve the global approximation to the Green's function, the numerical error of the global approximation to the Green's function is chosen as the residual function, and the double Chebyshev polynomials are used to approximate it. Finally, present method is used to calculate the motion response and the second order average drift force of ships in floating waves, and the numerical results are compared with model test results and other numerical results, and the corresponding numerical results agree well with experimental data and other results. Thus, the reliability and applicability of the present method is verified.
2025,47(8): 13-20 收稿日期：2024-7-9
DOI：10.3404/j.issn.1672-7649.2025.08.003
分类号：U661.32
作者简介：黄山(1991-),男,博士,工程师,研究方向为船舶水动力学
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