Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (1): 33-44.doi: https://doi.org/10.1007/s10483-011-1391-6

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Numerical simulation of vortex evolution based on adaptive wavelet method

赵勇1 宗智1 邹文楠2   

  1. 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 116024, Liaoning Province, P. R. China;
    2. Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P. R. China
  • 收稿日期:2010-05-19 修回日期:2010-12-07 出版日期:2011-01-10 发布日期:2011-01-01

Numerical simulation of vortex evolution based on adaptive wavelet method

ZHAO Yong1, ZONG Zhi1, ZOU Wen-Nan2   

  1. 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 116024, Liaoning Province, P. R. China;
    2. Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P. R. China
  • Received:2010-05-19 Revised:2010-12-07 Online:2011-01-10 Published:2011-01-01

摘要: The application of the wavelet method to vortex motion prediction is investigated. First, the wavelet method is 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 is used to simulate the vortex emerging process. The results show that the wavelet method can control numerical errors easily, can capture local structures adaptively, and can predict the vortex fluctuation evolution. Therefore, the application of the wavelet method to turbulence is suggested.

Abstract: The application of the wavelet method to vortex motion prediction is investigated. First, the wavelet method is 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 is used to simulate the vortex emerging process. The results show that the wavelet method can control numerical errors easily, can capture local structures adaptively, and can predict the vortex fluctuation evolution. Therefore, the application of the wavelet method to turbulence is suggested.

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