Application of multi-dimensional wavelet transform to fluid mechanics |
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| Institution: | School of Aeronautic Science and Engineering, Beihang University, Beijing, 100191, China;Department of Mechanical Systems Engineering Graduate School of Science and Engineering, Yamagata University 4-3-16 Jonan, Yonezawa-shi, Yamagata 992-8510, Japan |
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| Abstract: | This paper first reviews the application research works of wavelet transform on the fluid mechanics. Then the theories of continuous wavelet transform and multi-dimensional orthogonal(discrete) wavelet transform, including wavelet multiresolution analysis, are introduced. At last the applications of wavelet transform on 2 D and 3 D turbulent wakes and turbulent boundary layer flows are described based on the hot-wire, 2 D particle image velocimetry(PIV) and 3 D tomographic PIV. |
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| Keywords: | Continuous wavelet transform Fluid mechanics Multi-scale flow structures Orthogonal wavelet transform Turbulence Wavelet multiresolution analysis |
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