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Linear and nonlinear receptivity mechanisms in boundary layers subject to free-stream turbulence

Published online by Cambridge University Press:  16 January 2024

Diego C.P. Blanco Open the ORCID record for Diego C.P. Blanco [Opens in a new window] ,
Ardeshir Hanifi Open the ORCID record for Ardeshir Hanifi [Opens in a new window] ,
Dan S. Henningson Open the ORCID record for Dan S. Henningson [Opens in a new window]  and
André V.G. Cavalieri Open the ORCID record for André V.G. Cavalieri [Opens in a new window]
Diego C.P. Blanco*
Affiliation:
Divisão de Engenharia Aeroespacial, Instituto Tecnológico de Aeronáutica, 12228-900 São José dos Campos, SP, Brazil
Ardeshir Hanifi
Affiliation:
KTH Engineering Mechanics, FLOW Turbulence Lab, KTH Royal Institute of Technology, SE-10044 Stockholm, Sweden
Dan S. Henningson
Affiliation:
KTH Engineering Mechanics, FLOW Turbulence Lab, KTH Royal Institute of Technology, SE-10044 Stockholm, Sweden
André V.G. Cavalieri
Affiliation:
Divisão de Engenharia Aeroespacial, Instituto Tecnológico de Aeronáutica, 12228-900 São José dos Campos, SP, Brazil
*
†Email address for correspondence: diegodcpb@ita.br
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Abstract

Large-eddy simulations of a flat-plate boundary layer, without a leading edge, subject to multiple levels of incoming free-stream turbulence are considered in the present work. Within an input–output model, where nonlinear terms of the incompressible Navier–Stokes equations are treated as an external forcing, we manage to separate inputs related to perturbations coming through the intake of the numerical domain, whose evolution represents a linear mechanism, and the volumetric nonlinear forcing due to triadic interactions. With these, we perform the full reconstruction of the statistics of the flow, as measured in the simulations, to quantify pairs of wavenumbers and frequencies more affected by either linear or nonlinear receptivity mechanisms. Inside the boundary layer, different wavenumbers at near-zero frequency reveal streaky structures. Those that are amplified predominantly via linear interactions with the incoming vorticity occur upstream and display transient growth, while those generated by the nonlinear forcing are the most energetic and appear in more downstream positions. The latter feature vortices growing proportionally to the laminar boundary layer thickness, along with a velocity profile that agrees with the optimal amplification obtained by linear transient growth theory. The numerical approach presented is general and could potentially be extended to any simulation for which receptivity to incoming perturbations needs to be assessed.

JFM classification

Boundary Layers: Boundary layer receptivity Nonlinear Dynamical Systems: Low-dimensional models
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 979 , 25 January 2024 , A31
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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