Abstract
The traditional calculation method of frequency-domain Green function mainly utilizes series or asymptotic expansion to carry out numerical approximation, however, this method requires very careful zoning, thus the computing process is complex with many cycles, which has greatly affected the computing efficiency. To improve the computing efficiency, this paper introduces Gaussian integral to the numerical calculation of the frequency-domain Green function and its partial derivatives. It then compares the calculation result with that in existing references. The comparison results demonstrate that, on the basis of its sufficient accuracy, the method has greatly simplified the computing process, reduced the zoning and improved the computing efficiency.
摘要
传统的频域格林函数计算方法主要采用级数或渐进展开式对其进行数值逼近, 但这种方法需要非常细致的分区, 计算过程复杂, 循环次数也较多, 极大地影响计算效率.将高斯积分引入到频域格林函数及其导数的数值计算, 并将其计算结果与已有参考文献进行对比, 证明该方法在满足足够精度的基础上, 使计算过程大大简化, 减少了分区, 提高了计算效率.
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Foundation item: Supported by the National Natural Science Foundation of China under Grant No.50779007; the National Science Foundation for Young Scientists of China under Grant No.50809018; the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No.20070217074; the Defence Advance Research Program of Science and Technology of Ship Industry under Grant No.07J1.1.6; Harbin Engineering University Foundation under Grant No.HEUFT07069.
YAO Xiong-liang professor, was born in 1963. He received his master degree and PhD in 1989 and 1992 from Harbin Engineering University respectively. Now he is a professor and the Dean of Shipbuilding Department, Harbin Engineering University, China. He is the author or co-author of many papers in national and international journals and conference proceedings. His research interest includes shipbuilding, vibration control, flow induced vibration, structural analysis of ships and many others. He has won many awards at national level.
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Yao, Xl., Sun, Sl., Wang, SP. et al. The research on the highly efficient calculation method of 3-D frequency-domain Green function. J. Marine. Sci. Appl. 8, 196–203 (2009). https://doi.org/10.1007/s11804-009-8035-y
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DOI: https://doi.org/10.1007/s11804-009-8035-y