涡旋演化的小波自适应模拟

赵勇; 宗智; 邹文楠

doi:10.3879/j.issn.1000-0887.2011.01.004

涡旋演化的小波自适应模拟

doi: 10.3879/j.issn.1000-0887.2011.01.004

1.
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

基金项目: 创新研究群体基金资助项目(50921001);973资助项目(2010CB832700)

详细信息

作者简介:
赵勇(1981- ),男,博士生(联系人.E-mail:fluid@mail.dlut.edu.cn);宗智(1964- )男,教授,博士(E-mail:zongzhi@dlut.edu.cn);邹文楠(1968- ),男,教授,博士(E-mail:zouwn@ncu.edu.cn).

中图分类号: O357
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出版历程
- 收稿日期: 2010-07-02
- 修回日期: 2010-10-29
- 刊出日期: 2011-01-15

Numerical Simulation of Vortex Evolution Based on Adaptive Wavelet Method

1.
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;

摘要

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．
- 小波自适应 /
- 涡旋演化 /
- 相干结构 /
- 涡量方程 /
- 湍流
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.
- adaptive wavelet /
- vortex evolution /
- coherent structure /
- vorticity equation /
- turbulence

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参考文献(12)

[1]	梅树立, 陆启韶, 张森文, 金俐. 偏微分方程的区间小波自适应精细积分法[J]. 应用数学和力学, 2005, 26(3): 333-340.(MEI Shu-li, LU Qi-shao, ZHANG Sen-wen, JIN Li. Adaptive interval wavelet precise integration method for partial differential equations[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26 (3): 364-371.)
[2]	Beylkin G, Keiser J. On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases[J]. Journal of Computational Physics , 1997, 132(2): 233-259. doi: 10.1006/jcph.1996.5562
[3]	宗智，赵勇，邹文楠. 小波插值方法自适应数值求解时间进化微分方程[J].计算力学学报, 2010, 27(1): 65-69.(ZONG Zhi, ZHAO Yong, ZOU Wen-nan. Numerical solution for differential evolutional equation using adaptive interpolation wavelet method[J]. Journal of Computational Mechanics, 2010, 27(1): 65-69. (in Chinese))
[4]	Qian S, Wiess J. Wavelets and the numerical solution of partial differential equations [J]. Journal of Computational Physics, 1993, 106(1):155-175.
[5]	Farge M, Schneider K, Kevlahan N K R. Non-Gaussianity and coherent vortex simulation for two-dimensional turbulence using an adaptive orthogonal wavelet basis[J]. Physics of Fluids, 1999, 11(8):2187-2201.
[6]	Farge M, Kaiser S. Coherent vortex simulation (CVS), a semi-deterministic turbulence model using wavelets[J]. Flow, Turbulence and Combustion, 2001, 66(4):393-426.
[7]	郭会芬, 邱翔, 刘宇陆.小波变换在湍流数值研究中的应用[J]. 计算力学学报, 2006, 23(1): 58-64.(GUO Hui-fen, QIU Xiang, LIU Yu-lu. Application of wavelet analysis in numerical study of turbulence[J]. Journal of Computational Mechanics, 2006 , 23(1): 58-64. (in Chinese))
[8]	夏振炎, 田砚, 姜楠. 用子波谱分析壁湍流多尺度结构的能量传递[J]. 应用数学和力学, 2009, 30(4):409-416.（XIA Zhen-yan, TIAN Yan, JIANG Nan. Wavelet spectrum analysis on energy transfer of multi-scale structures in wall turbulence[J]. Applied Mathematics and Mechanics(English Edition), 2009, 30(4): 435-443. ）
[9]	Goldstein D E, Vasilyev O V. Stochastic coherent adaptive large eddy simulation method[J]. Physics of Fluids, 2004, 16(7):2497-2513. doi: 10.1063/1.1736671
[10]	Schneider K, Kevlahan N K R, Farge M. Comparison of an adaptive wavelet method and nonlinearly filtered pseudo-spectral methods for two-dimensional turbulence[J]. Theory and Computational Fluid Dynamics, 1997, 9(3): 191-206. doi: 10.1007/s001620050040
[11]	Kumar B V R, Mehra M. A time accurate pseudo-wavelet scheme for two-dimensional turbulence[J]. International Journal of Wavelets, Multiresolution and Information Processing, 2005, 3(4):587-599. doi: 10.1142/S0219691305001019
[12]	Farge M.Wavelet transforms and their application to turbulence[J]. Ann Rev Fluid Mech, 1992, 24:395-457. doi: 10.1146/annurev.fl.24.010192.002143