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Spanwise-coherent hydrodynamic waves around flat plates and airfoils

Published online by Cambridge University Press:  20 September 2021

Leandra I. Abreu Open the ORCID record for Leandra I. Abreu [Opens in a new window] ,
Alvaro Tanarro ,
André V.G. Cavalieri Open the ORCID record for André V.G. Cavalieri [Opens in a new window] ,
Philipp Schlatter Open the ORCID record for Philipp Schlatter [Opens in a new window] ,
Ricardo Vinuesa Open the ORCID record for Ricardo Vinuesa [Opens in a new window] ,
Ardeshir Hanifi Open the ORCID record for Ardeshir Hanifi [Opens in a new window]  and
Dan S. Henningson Open the ORCID record for Dan S. Henningson [Opens in a new window]
Leandra I. Abreu*
Affiliation:
São Paulo State University (UNESP), Campus of São João da Boa Vista, 13876-750, SP, Brazil Divisão de Engenharia Aeronáutica, Instituto Tecnológico de Aeronáutica, 12228-900, São José dos Campos, SP, Brazil
Alvaro Tanarro
Affiliation:
FLOW, KTH Engineering Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
André V.G. Cavalieri
Affiliation:
Divisão de Engenharia Aeronáutica, Instituto Tecnológico de Aeronáutica, 12228-900, São José dos Campos, SP, Brazil
Philipp Schlatter
Affiliation:
FLOW, KTH Engineering Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
Ricardo Vinuesa
Affiliation:
FLOW, KTH Engineering Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
Ardeshir Hanifi
Affiliation:
FLOW, KTH Engineering Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
Dan S. Henningson
Affiliation:
FLOW, KTH Engineering Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
*
†Email address for correspondence: [email protected]
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Abstract

We investigate spanwise-coherent structures in the turbulent flow around airfoils, motivated by their connection with trailing-edge noise. We analyse well-resolved large-eddy simulations (LES) of the flow around NACA 0012 and NACA 4412 airfoils, both at a Reynolds number of 400 000 based on the chord length. Spectral proper orthogonal decomposition performed on the data reveals that the most energetic coherent structures are hydrodynamic waves, extending over the turbulent boundary layers around the airfoils with significant amplitudes near the trailing edge. Resolvent analysis was used to model such structures, using the mean field as a base flow. We then focus on evaluating the dependence of such structures on the domain size, to ensure that they are not an artefact of periodic boundary conditions in small computational boxes. To this end, we performed incompressible LES of a zero-pressure-gradient turbulent boundary layer, for three different spanwise sizes, with the momentum-thickness Reynolds number matching those near the airfoils trailing edge. The same coherent hydrodynamic waves were observed for the three domains. Such waves are accurately modelled as the most amplified flow response from resolvent analysis. The signature of such wide structures is seen in non-premultiplied spanwise wavenumber spectra, which collapse for the three computational domains. These results suggest that the spanwise-elongated structures are not domain-size dependent for the studied simulations, indicating thus the presence of very wide structures in wall-bounded turbulent flows.

JFM classification

Acoustics: Aeroacoustics Acoustics: Hydrodynamic noise
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 927 , 25 November 2021 , A1
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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