| 三维频域格林函数的高效率计算方法研究 |
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| 引用本文： | 姚熊亮,孙士丽,王诗平,杨树涛.三维频域格林函数的高效率计算方法研究[J].船舶与海洋工程学报,2009,8(3):196-203. |
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| 作者姓名： | 姚熊亮 孙士丽 王诗平 杨树涛 |
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| 作者单位： | 哈尔滨工程大学船舶工程学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | 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 |
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| 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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| 关 键 词： | 频域格林函数 数值逼近 高斯积分法 |
The research on the highly efficient calculation method of 3-D frequency-domain Green function |
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| Xiong-liang Yao,Shi-li Sun,Shi-Ping Wang,Shu-tao Yang.The research on the highly efficient calculation method of 3-D frequency-domain Green function[J].Journal of Marine Science and Application,2009,8(3):196-203. |
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| Authors: | Xiong-liang Yao Shi-li Sun Shi-Ping Wang Shu-tao Yang |
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| Institution: | 1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, China
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| 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. |
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| Keywords: | frequency-domain Green function numerical approximation Gaussian integral |
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