Forcing statistics in resolvent analysis: application in minimal turbulent Couette flow

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Nogueira, Petronio A. S.Inst Tecnol Aeronaut, Div Engn Aeronaut, BR-12228900 Sao Jose Dos Campos, SP, Brazil. (författare)

Forcing statistics in resolvent analysis : application in minimal turbulent Couette flow

Artikel/kapitelEngelska2021

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2020-12-10
Cambridge University Press (CUP),2021
printrdacarrier

Nummerbeteckningar

LIBRIS-ID:oai:DiVA.org:kth-292088
https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-292088URI
https://doi.org/10.1017/jfm.2020.918DOI

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Språk:engelska
Sammanfattning på:engelska

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Ämneskategori:art swepub-publicationtype

Anmärkningar

QC 20210329
An analysis of the statistics of the nonlinear terms in resolvent analysis is performed in this work for turbulent Couette flow at Reynolds number 400. Data from a direct numerical simulation of a minimal flow unit is used to compute the covariance matrix of the velocity. From the same data, we computed the nonlinear terms of the Navier-Stokes equations (treated as forcing), which allowed us to compute the covariance matrix of the forcing. The quantitative relation between the two covariances via the resolvent operator is confirmed here for the first time, accounting for relevant signal processing issues related to the windowing procedure for frequency-domain quantities. Such exact correspondence allowed the eduction of the most relevant force components for the dominant structures in this flow, which participate in the self-sustaining cycle of turbulence: (i) streamwise vortices and streaks, and (ii) spanwise-coherent fluctuations of spanwise velocity. The results show a dominance by a subset of the nonlinear terms for the prediction of the full statistics of streamwise vortices and streaks; a single term is seen to be dominant for spanwise motions. A relevant feature observed in these cases is that the forcing covariance is dominated by its first eigenfunction, showing that nonlinear terms also have a coherent structure at low frequencies in this flow. Different forcing components are also coherent between them, which leads to constructive and destructive interferences that greatly modify the flow response. These are key features of forcing 'colour' for the present flow.

Ämnesord och genrebeteckningar

TEKNIK OCH TEKNOLOGIER Maskinteknik hsv//swe
ENGINEERING AND TECHNOLOGY Mechanical Engineering hsv//eng
turbulence modelling
turbulence simulation

Biuppslag (personer, institutioner, konferenser, titlar ...)

Morra, PierluigiKTH,Linné Flow Center, FLOW,Teknisk mekanik,SeRC - Swedish e-Science Research Centre(Swepub:kth)u11hmzyh (författare)
Martini, EduardoInst Tecnol Aeronaut, Div Engn Aeronaut, BR-12228900 Sao Jose Dos Campos, SP, Brazil. (författare)
Cavalieri, Andre V. G.Inst Tecnol Aeronaut, Div Engn Aeronaut, BR-12228900 Sao Jose Dos Campos, SP, Brazil. (författare)
Henningson, Dan S.KTH,Linné Flow Center, FLOW,SeRC - Swedish e-Science Research Centre,Teknisk mekanik(Swepub:kth)u1xtilpr (författare)
Inst Tecnol Aeronaut, Div Engn Aeronaut, BR-12228900 Sao Jose Dos Campos, SP, Brazil.Linné Flow Center, FLOW (creator_code:org_t)

Sammanhörande titlar

Ingår i:Journal of Fluid Mechanics: Cambridge University Press (CUP)9080022-11201469-7645

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Av författaren/redakt...: Nogueira, Petron ...; Morra, Pierluigi; Martini, Eduardo; Cavalieri, Andre ...; Henningson, Dan ...

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TEKNIK OCH TEKNOLOGIER: TEKNIK OCH TEKNO ...; och Maskinteknik

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Av lärosätet: Kungliga Tekniska Högskolan

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