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Numerical study on the ring-like vortex structure generated by MVG in high-speed flows with different Mach numbers

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Abstract

Micro vortex generator (MVG) is a kind of robust and practical devices used to control the boundary layer. This research implements a set of large eddy simulations (LES) on the flow field in the downstream of the micro vortex generator (MVG) in supersonic flows with different Mach numbers. In this study, the downstream flow field affected by MVG at different Mach numbers was analyzed in detail, especially the large vortex structure generated in the upper boundary layer that plays a very important role in shock boundary layer interaction (SBLI). Studies have found that the incoming Mach number does not have a major impact on the generation mechanism of ring-like vortices, but it will affect the strength and length of the momentum deficit behind the MVG, thereby affecting the position of the vortex structure relative to the boundary layer and its intensity. At a high Mach number, the momentum deficit is located closer to the lower boundary layer so that the resulting upper vortex structure has more opportunity to interact with the structure in the lower boundary layer. This makes the upper vortex structure more distorted. Moreover, the power spectrum analysis of the frequency of ring-like vortices generated at different Mach numbers was also conducted in this research.

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Abbreviations

MVG:

Micro vortex generator

SBLI:

Shock wave-boundary layer interaction

DNS:

Direct numerical simulation

LES:

Large eddy simulation

Ma:

Mach number

Re:

Reynolds number based on momentum thickness

h :

Micro ramp height

x, y, z :

Spanwise, normal and streamwise coordinate axes

u, v, w :

Spanwise, normal and streamwise velocity

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Acknowledgements

This research is part of the Blue Waters sustained-petascale computing project, which is supported by the National Science Foundation (awards OCI-0725070 and ACI-1238993) the State of Illinois, and as of December, 2019, the National Geospatial-Intelligence Agency. This work was funded in part by the National Science Foundation’s Implementation Grant # 1912191.

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Authors and Affiliations

  1. Jackson State University, Jackson, MS, 39217, USA

    Yonghua Yan & Herious A. Cotton

  2. West Texas A&M University, Canyon, TX, 79016, USA

    Yong Yang

  3. Tougaloo College, Tougaloo, MS, 39174, USA

    Caixia Chen & Alitzel Serrano

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  1. Yonghua Yan
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  2. Yong Yang
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  3. Caixia Chen
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  4. Herious A. Cotton
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  5. Alitzel Serrano
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Correspondence to Yong Yang.

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Yan, Y., Yang, Y., Chen, C. et al. Numerical study on the ring-like vortex structure generated by MVG in high-speed flows with different Mach numbers. Japan J. Indust. Appl. Math. 39, 3–18 (2022). https://doi.org/10.1007/s13160-021-00484-w

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  • DOI: https://doi.org/10.1007/s13160-021-00484-w

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