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On the relevance of Reynolds stresses in resolvent analyses of turbulent wall-bounded flows
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
Univ Paris Saclay, LIMSI, UPR 3251 CNRS, F-91400 Orsay, France..
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0001-7864-3071
Cent Nantes, LHEEA, UMR 6598, CNRS, F-44300 Nantes, France..
2019 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 867, p. 969-984, article id PII S0022112019001964Article in journal (Refereed) Published
Abstract [en]

The ability of linear stochastic response analysis to estimate coherent motions is investigated in turbulent channel flow at the friction Reynolds number Re-r = 1007. The analysis is performed for spatial scales characteristic of buffer-layer and large-scale motions by separating the contributions of different temporal frequencies. Good agreement between the measured spatio-temporal power spectral densities and those estimated by means of the resolvent is found when the effect of turbulent Reynolds stresses, modelled with an eddy-viscosity associate with the turbulent mean flow, is included in the resolvent operator. The agreement is further improved when the flat forcing power spectrum (white noise) is replaced with a power spectrum matching the measures. Such a good agreement is not observed when the eddy-viscosity terms are not included in the resolvent operator. In this case, the estimation based on the resolvent is unable to select the right peak frequency and wall-normal location of buffer-layer motions. Similar results are found when comparing truncated expansions of measured streamwise velocity power spectral densities based on a spectral proper orthogonal decomposition to those obtained with optimal resolvent modes.

Place, publisher, year, edition, pages
CAMBRIDGE UNIV PRESS , 2019. Vol. 867, p. 969-984, article id PII S0022112019001964
Keywords [en]
turbulent boundary layers
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-249766DOI: 10.1017/jfm.2019.196ISI: 000463073000001Scopus ID: 2-s2.0-85063881975OAI: oai:DiVA.org:kth-249766DiVA, id: diva2:1307660
Note

QC 20190429

Available from: 2019-04-29 Created: 2019-04-29 Last updated: 2019-04-29Bibliographically approved

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Henningson, Dan S.

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