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Dynamics of separation bubble dilation and collapse in shock wave/turbulent boundary layer interactions

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Abstract

Although several mechanisms have been suggested as explanations for the low-frequency unsteadiness in shock wave/turbulent boundary layer interactions, questions remain on causes and effects. In this effort, we examine the observed asymmetry in large-scale shock motions to highlight which of the suggested mechanisms is most consistent with shock-speed observations and accompanying separation dynamics. The analysis is based on a flowfield obtained from a validated large eddy simulation of a fully separated interaction. A statistical analysis is used to determine the speed of bubble collapse relative to dilation. The low-pass filtering required to separate upstream from downstream motions in the presence of higher-frequency jitter is accomplished with a relatively new technique, empirical mode decomposition, that is very appropriate for this purpose. The dynamics of bubble dilation versus collapse are then elaborated with conditional dynamic mode decomposition (DMD) analyses on the respective pressure fields. Bubble breathing is shown to have a different structure during dilation than during collapse—larger structures are observed during collapse when fluid is expelled from the bubble. The nature of the DMD mode associated with Kelvin–Helmholtz (K–H) shedding in the mixing layer also differs between dilation and collapse: When the bubble is dilating, the structures at the dominant K–H frequency are larger than when the bubble is collapsing. Additionally, a link is established between the convecting K–H structures and corrugation observed along the reflected shock. Some aspects of the nature of the asymmetry are linked to the ease of eddy formation (K–H structures), which plays an important role in the collapse of the bubble.

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Acknowledgements

The authors appreciate the sponsorship of the Air Force Office of Scientific Research (Monitor: I. Leyva) and the Collaborative Center for Aeronautical Sciences. We also gratefully acknowledge the supersonic group from IUSTI for sharing their database obtained using resources from Institut du Developpement et des Ressources en Informatique Scientifique (IDRIS) under the allocation 2009-021877 made by Grand Equipement National de Calcul Intensif. The post-processing analysis was performed with grants of computer time from the DoD HPCMP and the Ohio Supercomputer Center. Some figures have been made with complimentary licenses of FieldView obtained from Intelligent Light under the University Partners Program.

Funding

Funding was provided by Air Force Office of Scientific Research (Grant No. FA95550-14-1-0167) and Air Force Research Laboratory (Grant No. FA8650-13-2-2442).

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, The Ohio State University, Columbus, OH, 43210, USA

    M. Waindim, L. Agostini, M. Adler & D. V. Gaitonde

  2. Institut Universitaire des Systèmes Thermiques Industriels, Marseille Cedex, France

    L. Larchêveque

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  1. M. Waindim
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  2. L. Agostini
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  3. L. Larchêveque
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  4. M. Adler
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  5. D. V. Gaitonde
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Correspondence to M. Waindim.

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Communicated by H. Olivier and A. Higgins.

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Waindim, M., Agostini, L., Larchêveque, L. et al. Dynamics of separation bubble dilation and collapse in shock wave/turbulent boundary layer interactions. Shock Waves 30, 63–75 (2020). https://doi.org/10.1007/s00193-019-00918-y

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