| 涡旋演化的小波自适应模拟 |
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| 引用本文： | 赵勇,宗智,邹文楠. 涡旋演化的小波自适应模拟[J]. 应用数学和力学, 2011, 32(1): 33-43. DOI: 10.3879/j.issn.1000-0887.2011.01.004 |
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| 作者姓名： | 赵勇 宗智 邹文楠 |
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| 作者单位： | 大连理工大学 运载工程与力学学部 船舶工程学院工业装备结构分析国家重点实验室, 辽宁 大连 116024;2.南昌大学 工程力学研究所, 南昌 330029 |
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| 基金项目： | 创新研究群体基金，973资助项目 |
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| 摘 要： | 该文考察了小波自适应方法用于涡旋运动的演化过程．首先，通过两个初边值问题，说明小波方法具有可精度可控和局部结构自动捕捉的能力．然后，计算了涡旋的合并过程，结果表明，小波方法可以准确高效的应用于流动涡旋的演化预测，进而，讨论了小波方法在湍流数值模拟中的应用．
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| 关 键 词： | 小波自适应 涡旋演化 相干结构 涡量方程 湍流 |
| 收稿时间： | 2010-07-02 |
Numerical Simulation of Vortex Evolution Based on Adaptive Wavelet Method |
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| ZHAO Yong,ZONG Zhi,ZOU Wen-nan. Numerical Simulation of Vortex Evolution Based on Adaptive Wavelet Method[J]. Applied Mathematics and Mechanics, 2011, 32(1): 33-43. DOI: 10.3879/j.issn.1000-0887.2011.01.004 |
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| Authors: | ZHAO Yong ZONG Zhi ZOU Wen-nan |
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| Affiliation: | School of Naval Architecture, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P. R. China; |
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| Abstract: | The application of wavelet method to vortex motion's prediction was investigated.First,the wavelet method was used to solve two initial boundary problems so as to verify its abilities of controlling numerical errors and capturing local structures.Then,the adaptive wavelet method was used to simulate the vortex emerging process.The results show that the wavelet method can predict the vortex evolution precisely and effectively.The application of this method to turbulence is suggested at last. |
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| Keywords: | adaptive wavelet vortex evolution coherent structure vorticity equation turbulence |
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