Spectral proper orthogonal decomposition of harmonically forced turbulent flows

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发表在:Journal of Fluid Mechanics vol. 985 (Apr 2024)
主要作者: Heidt, Liam
其他作者: Colonius, Tim
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Cambridge University Press
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022 |a 0022-1120 
022 |a 1469-7645 
024 7 |a 10.1017/jfm.2024.70  |2 doi 
035 |a 3047788844 
045 2 |b d20240401  |b d20240430 
084 |a 79037  |2 nlm 
100 1 |a Heidt, Liam  |u Graduate Aerospace Laboratories of the California Institute of Technology, California Institute of Technology, Pasadena, CA   91101, USA 
245 1 |a Spectral proper orthogonal decomposition of harmonically forced turbulent flows 
260 |b Cambridge University Press  |c Apr 2024 
513 |a Journal Article 
520 3 |a Many turbulent flows exhibit time-periodic statistics. These include turbomachinery flows, flows with external harmonic forcing and the wakes of bluff bodies. Many existing techniques for identifying turbulent coherent structures, however, assume the statistics are statistically stationary. In this paper, we leverage cyclostationary analysis, an extension of the statistically stationary framework to processes with periodically varying statistics, to generalize the spectral proper orthogonal decomposition (SPOD) to the cyclostationary case. The resulting properties of the cyclostationary SPOD (CS-SPOD for short) are explored, a theoretical connection between CS-SPOD and the harmonic resolvent analysis is provided, simplifications for the low and high forcing frequency limits are discussed, and an efficient algorithm to compute CS-SPOD with SPOD-like cost is presented. We illustrate the utility of CS-SPOD using two example problems: a modified complex linearized Ginzburg–Landau model and a high-Reynolds-number turbulent jet. 
653 |a Wakes 
653 |a Approximation 
653 |a Algorithms 
653 |a Decomposition 
653 |a Bluff bodies 
653 |a High Reynolds number 
653 |a Turbomachinery 
653 |a Statistical analysis 
653 |a Fluid dynamics 
653 |a Proper Orthogonal Decomposition 
653 |a Statistics 
653 |a Turbulent jets 
653 |a Environmental 
700 1 |a Colonius, Tim  |u Department of Mechanical and Civil Engineering, California Institute of Technology, Pasadena, CA   91101, USA 
773 0 |t Journal of Fluid Mechanics  |g vol. 985 (Apr 2024) 
786 0 |d ProQuest  |t Science Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3047788844/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3047788844/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch