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Vortex separation cascades in simulations of the planar flow past an impulsively started cylinder up to $\boldsymbol{Re=100}\ \boldsymbol{000}$

Published online by Cambridge University Press:  20 December 2022

Michail Chatzimanolakis ,
Pascal Weber  and
Petros Koumoutsakos Open the ORCID record for Petros Koumoutsakos [Opens in a new window]
Michail Chatzimanolakis
Affiliation:
Computational Science and Engineering Laboratory, School of Engineering and Applied Sciences, Harvard University, 29 Oxford Street, MA 02138, USA Computational Science and Engineering Laboratory, Department of Mechanical and Process Engineering, ETH Zurich, Clausiusstrasse 33, 8051 Zurich, Switzerland
Pascal Weber
Affiliation:
Computational Science and Engineering Laboratory, School of Engineering and Applied Sciences, Harvard University, 29 Oxford Street, MA 02138, USA Computational Science and Engineering Laboratory, Department of Mechanical and Process Engineering, ETH Zurich, Clausiusstrasse 33, 8051 Zurich, Switzerland
Petros Koumoutsakos*
Affiliation:
Computational Science and Engineering Laboratory, School of Engineering and Applied Sciences, Harvard University, 29 Oxford Street, MA 02138, USA
*
†Email address for correspondence: petros@seas.harvard.edu
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Abstract

Direct numerical simulations of the flow past an impulsively started cylinder at high Reynolds numbers (25k–100k) reveal an intriguing portrait of unsteady separation. Vorticity generation and vortex shedding entails a cascade of separation events on the cylinder surface that are reminiscent of Kelvin–Helmholtz instabilities. Primary vortices roll up along the cylinder surface as a result of instabilities of the initially attached vortex sheets, followed by vortex eruptions, creation of secondary vorticity and formation of dipole structures that are subsequently ejected from the surface of the cylinder. We analyse the vortical structures and their relationship to the forces experienced by the cylinder. This striking cascade of vortex instabilities may serve as reference for reduced-order models of flow separation and as guide for flow control of separated flows at high Reynolds numbers.

JFM classification

Wakes/Jets: Separated flows Vortex Flows: Vortex shedding Vortex Flows: Vortex dynamics

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Type
JFM Rapids
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Journal of Fluid Mechanics , Volume 953 , 25 December 2022 , R2
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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Chatzimanolakis et al. supplementary movie 1

Flow Past an Impulsively Started Cylinder at $\Rey=25~000$. Vorticity contours from $t=0$ to $t=20T$.
Download Chatzimanolakis et al. supplementary movie 1(Video)
Video 16.2 MB

Chatzimanolakis et al. supplementary movie 2

Flow Past an Impulsively Started Cylinder at $\Rey=50~000$. Vorticity contours from $t=0$ to $t=20T$..
Download Chatzimanolakis et al. supplementary movie 2(Video)
Video 22.3 MB

Chatzimanolakis et al. supplementary movie 3

Flow Past an Impulsively Started Cylinder at $\Rey=100~000$. Vorticity contours from $t=0$ to $t=20T$.

Download Chatzimanolakis et al. supplementary movie 3(Video)
Video 27.5 MB