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Numerical visualization of shock tube-generated vortex–wall interaction using a fifth-order upwind scheme

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Abstract

Compressible Navier–Stokes equations are solved using a fifth-order upwind scheme in the AUSM+ framework to visualize a compressible vortex ring generated from a shock tube. The ring impinges on a wall kept near the open end of the tube. The vortex ring has an embedded shock, counter rotating vortex rings ahead of it and a number of small-scale shear layer vortices trailing behind. When this complex configuration impinges on a wall, wall vorticity is lifted and begins to interact with the complex system of vortices. The paper focusses on the features of the resulting flow field by visualizing them on increasingly finer grids. It is shown that though the different grids capture a fairly matching description of the initial turbulent vortex system that propagates towards the wall, small differences existing between them magnify with time. During vortex–wall interaction, some key experimentally observed features are identified on all the grids, but the details of the vortical structure look significantly different on different grids.

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Acknowledgments

The authors gratefully acknowledge their access to the High-Performance Computing Facility of CSIR-CMERI. In particular, the authors are immensely indebted to Mr. Anupam Sinha, of the Aerosystems Laboratory of the Institute, who has skilfully developed and maintained this facility. We also acknowledge the efforts of Dr. Sarita Ghosh, of the Printing and Publication department, CSIR-CMERI in creating the first figure on experimental comparison.

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Authors and Affiliations

  1. AcSIR-CMERI, CSIR-Central Mechanical Engineering Research Institute, Durgapur, West Bengal, 713209, India

    Abhishek Kundu

  2. CSIR-Central Mechanical Engineering Research Institute, Durgapur, West Bengal, 713209, India

    Sudipta De & Murugan Thangadurai

  3. Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Kanpur, 208016, India

    C. L. Dora & Debopam Das

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  1. Abhishek Kundu
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  2. Sudipta De
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  3. Murugan Thangadurai
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  4. C. L. Dora
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  5. Debopam Das
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Correspondence to Sudipta De.

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Kundu, A., De, S., Thangadurai, M. et al. Numerical visualization of shock tube-generated vortex–wall interaction using a fifth-order upwind scheme. J Vis 19, 667–678 (2016). https://doi.org/10.1007/s12650-016-0362-x

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  • DOI: https://doi.org/10.1007/s12650-016-0362-x

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