Independent component analysis of streamwise velocity fluctuations in turbulent channel flows
•ICA is employed to decompose streamwise velocity fluctuations in turbulent channel flows into multiscale localised modes.•The height and size are introduced to quantify the spatial characteristics of ICA modes.•ICA modes are typically localised in space.•The sizes of ICA modes are multiscale and ar...
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| Published in | Theoretical and applied mechanics letters Vol. 12; no. 4; p. 100349 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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01.05.2022
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| Abstract | •ICA is employed to decompose streamwise velocity fluctuations in turbulent channel flows into multiscale localised modes.•The height and size are introduced to quantify the spatial characteristics of ICA modes.•ICA modes are typically localised in space.•The sizes of ICA modes are multiscale and are approximately proportional to their heights.
Independent component analysis (ICA) is used to study the multiscale localised modes of streamwise velocity fluctuations in turbulent channel flows. ICA aims to decompose signals into independent modes, which may induce spatially localised objects. The height and size are defined to quantify the spatial position and extension of these ICA modes, respectively. In contrast to spatially extended proper orthogonal decomposition (POD) modes, ICA modes are typically localised in space, and the energy of some modes is distributed across the near-wall region. The sizes of ICA modes are multiscale and are approximately proportional to their heights. ICA modes can also help to reconstruct the statistics of turbulence, particularly the third-order moment of velocity fluctuations, which is related to the strongest Reynolds shear-stress-producing events. The results reported in this paper indicate that the ICA method may connect statistical descriptions and structural descriptions of turbulence. |
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| AbstractList | Independent component analysis (ICA) is used to study the multiscale localised modes of streamwise velocity fluctuations in turbulent channel flows. ICA aims to decompose signals into independent modes, which may induce spatially localised objects. The height and size are defined to quantify the spatial position and extension of these ICA modes, respectively. In contrast to spatially extended proper orthogonal decomposition (POD) modes, ICA modes are typically localised in space, and the energy of some modes is distributed across the near-wall region. The sizes of ICA modes are multiscale and are approximately proportional to their heights. ICA modes can also help to reconstruct the statistics of turbulence, particularly the third-order moment of velocity fluctuations, which is related to the strongest Reynolds shear-stress-producing events. The results reported in this paper indicate that the ICA method may connect statistical descriptions and structural descriptions of turbulence. •ICA is employed to decompose streamwise velocity fluctuations in turbulent channel flows into multiscale localised modes.•The height and size are introduced to quantify the spatial characteristics of ICA modes.•ICA modes are typically localised in space.•The sizes of ICA modes are multiscale and are approximately proportional to their heights. Independent component analysis (ICA) is used to study the multiscale localised modes of streamwise velocity fluctuations in turbulent channel flows. ICA aims to decompose signals into independent modes, which may induce spatially localised objects. The height and size are defined to quantify the spatial position and extension of these ICA modes, respectively. In contrast to spatially extended proper orthogonal decomposition (POD) modes, ICA modes are typically localised in space, and the energy of some modes is distributed across the near-wall region. The sizes of ICA modes are multiscale and are approximately proportional to their heights. ICA modes can also help to reconstruct the statistics of turbulence, particularly the third-order moment of velocity fluctuations, which is related to the strongest Reynolds shear-stress-producing events. The results reported in this paper indicate that the ICA method may connect statistical descriptions and structural descriptions of turbulence. |
| ArticleNumber | 100349 |
| Author | He, Guowei Wu, Ting |
| Author_xml | – sequence: 1 givenname: Ting surname: Wu fullname: Wu, Ting organization: The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China – sequence: 2 givenname: Guowei orcidid: 0000-0003-4738-0816 surname: He fullname: He, Guowei email: hgw@lnm.imech.ac.cn organization: The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China |
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| Cites_doi | 10.1016/0165-1684(94)90029-9 10.1016/j.probengmech.2011.08.010 10.1017/S0022112000001580 10.1017/S0022112009006624 10.1162/neco.1995.7.6.1129 10.1017/S0022112005004726 10.1017/S0022112010001217 10.1017/S0022112086001192 10.1098/rspa.1998.0193 10.1126/science.aan7933 10.1017/S0022112087000892 10.1063/1.4939712 10.1016/S0893-6080(00)00026-5 10.1017/jfm.2019.1044 10.1063/1.857730 10.1017/jfm.2017.248 10.1063/1.4890745 10.1162/neco.1997.9.7.1483 10.1017/jfm.2018.144 10.1146/annurev.fl.25.010193.002543 10.1142/S0129065797000458 10.1038/nbt.2859 10.1146/annurev.fl.24.010192.002143 10.1017/S0305004100030929 10.1063/1.3068759 10.1017/S0022112095000462 10.1103/PhysRevE.65.027302 10.1146/annurev-fluid-122109-160753 |
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| Keywords | Turbulent channel flow Proper orthogonal decomposition Localised modes Independent component analysis Third-order moment |
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| Snippet | •ICA is employed to decompose streamwise velocity fluctuations in turbulent channel flows into multiscale localised modes.•The height and size are introduced... Independent component analysis (ICA) is used to study the multiscale localised modes of streamwise velocity fluctuations in turbulent channel flows. ICA aims... |
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| SubjectTerms | Independent component analysis Localised modes Proper orthogonal decomposition Third-order moment Turbulent channel flow |
| Title | Independent component analysis of streamwise velocity fluctuations in turbulent channel flows |
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