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A comparison of different analytical techniques for identifying structures in turbulence
Author(s) -
Nicholas Kevlahan,
J. C. R. Hunt,
J. C. Vassilicos
Publication year - 1994
Publication title -
applied scientific research
Language(s) - English
Resource type - Journals
eISSN - 2212-0939
pISSN - 0003-6994
DOI - 10.1007/bf00849109
Subject(s) - statistical physics , wavelet , sampling (signal processing) , fractal , scale (ratio) , turbulence , kinematics , computer science , mathematics , algorithm , artificial intelligence , pattern recognition (psychology) , physics , mathematical analysis , classical mechanics , filter (signal processing) , quantum mechanics , computer vision , thermodynamics
Vortical structures play an important role in the kinematics and dynamics of turbulence, but in order to understand this role we require techniques to identify and classify them. Proper Orthogonal Decomposition (POD), conditional sampling with ensemble statistics, and conditional sampling with conditional statistics are applied to a simple test function and the results are compared to determine the strengths and weaknesses of each approach. The second method gives the closest approximation to the test signal and is the easiest to use, although it is sensitive to the choice of conditions. None of these techniques can give much insight into the dynamics of turbulence, or into the organisation of eddies with complex, fine-scale structure.

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