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MacCormack’s technique-based pressure reconstruction approach for PIV data in compressible flows with shocks

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Abstract

This paper proposes an improved approach for extraction of pressure fields from velocity data, such as obtained by particle image velocimetry (PIV), especially for steady compressible flows with strong shocks. The principle of this approach is derived from Navier–Stokes equations, assuming adiabatic condition and neglecting viscosity of flow field boundaries measured by PIV. The computing method is based on MacCormack’s technique in computational fluid dynamics. Thus, this approach is called the MacCormack method. Moreover, the MacCormack method is compared with several approaches proposed in previous literature, including the isentropic method, the spatial integration and the Poisson method. The effects of velocity error level and PIV spatial resolution on these approaches are also quantified by using artificial velocity data containing shock waves. The results demonstrate that the MacCormack method has higher reconstruction accuracy than other approaches, and its advantages become more remarkable with shock strengthening. Furthermore, the performance of the MacCormack method is also validated by using synthetic PIV images with an oblique shock wave, confirming the feasibility and advantage of this approach in real PIV experiments. This work is highly significant for the studies on aerospace engineering, especially the outer flow fields of supersonic aircraft and the internal flow fields of ramjets.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (90916023, 11672346).

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Authors and Affiliations

  1. Jiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China

    Shun Liu, Jinglei Xu & Kaikai Yu

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  1. Shun Liu
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  2. Jinglei Xu
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  3. Kaikai Yu
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Correspondence to Jinglei Xu.

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Liu, S., Xu, J. & Yu, K. MacCormack’s technique-based pressure reconstruction approach for PIV data in compressible flows with shocks. Exp Fluids 58, 64 (2017). https://doi.org/10.1007/s00348-017-2354-6

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  • DOI: https://doi.org/10.1007/s00348-017-2354-6

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