Multi-scale analysis is widely adopted in turbulence research for studying flow structures corresponding to specific length scales in the Kolmogorov spectrum. In the present work, a new methodology based on novel optimization techniques for scale decomposition is introduced, which leads to a bandpass filter with prescribed properties. With this filter, we can efficiently perform scale decomposition using Fourier transform directly while adequately suppressing Gibbs ringing artifacts. Both 2D and 3D scale decomposition results are presented, together with qualitative and quantitative analysis. The comparison with existing multi-scale analysis technique is conducted to verify the effectiveness of our method. Validation of this decomposition technique is demonstrated both qualitatively and quantitatively. The advantage of the proposed methodology enables a precise specification of continuous length scales while preserving the original structures. These unique features of the proposed methodology may provide future insights into the evolution of turbulent flow structures.
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Research Article|
May 05 2014
Kolmogorov spectrum consistent optimization for multi-scale flow decomposition
M. Mishra;
M. Mishra
1School of Mechanical and Aerospace Engineering,
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singapore
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X. Liu;
X. Liu
2School of Computer Engineering,
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singapore
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M. Skote;
M. Skote
a)
1School of Mechanical and Aerospace Engineering,
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singapore
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C.-W. Fu
C.-W. Fu
2School of Computer Engineering,
Nanyang Technological University
, 50 Nanyang Avenue, Singapore 639798, Singapore
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a)
Electronic mail: [email protected]
Physics of Fluids 26, 055106 (2014)
Article history
Received:
November 22 2013
Accepted:
April 01 2014
Citation
M. Mishra, X. Liu, M. Skote, C.-W. Fu; Kolmogorov spectrum consistent optimization for multi-scale flow decomposition. Physics of Fluids 1 May 2014; 26 (5): 055106. https://doi.org/10.1063/1.4871106
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