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| Application of wavelet analysis in numerical study of turbulence |
| Revised:January 05, 2004 |
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| DOI：10.7511/jslx20061011 |
| KeyWord:wavelet transform,Gaussian wavelets,coherent vortex simulation,adaptive wavelet method,Navier-Stokes equations |
| GUO Hui-fen QIU Xiang LIU Yu-lu |
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| Abstract: |
| The wavelet transform are localized in both temporal and spatial spaces,which adopt to the characteristics of turbulence.Wavelet analysis has been applied and developed in turbulent numerical study since 1990's.In this paper,two aspects in turbulence numerical simulation are described,which one is made use of continuous wavelets,Gaussian wavelets to obtain the solutions of N-S equations by degrading the Laplace operator into one-order operator,and the other is orthonormal wavelet was combined with finite element method: coherent vortex simulation(CVS).The advances and defects of the numerical application of wavelets in turbulence are discussed,the presented problems are pointed out and the prospect is predicted based on present numerical study. |
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