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Methods for compressible multiphase flows and their applications

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Abstract

This paper presents an efficient and robust numerical framework to deal with multiphase real-fluid flows and their broad spectrum of engineering applications. A homogeneous mixture model incorporated with a real-fluid equation of state and a phase change model is considered to calculate complex multiphase problems. As robust and accurate numerical methods to handle multiphase shocks and phase interfaces over a wide range of flow speeds, the AUSMPW+_N and RoeM_N schemes with a system preconditioning method are presented. These methods are assessed by extensive validation problems with various types of equation of state and phase change models. Representative realistic multiphase phenomena, including the flow inside a thermal vapor compressor, pressurization in a cryogenic tank, and unsteady cavitating flow around a wedge, are then investigated as application problems. With appropriate physical modeling followed by robust and accurate numerical treatments, compressible multiphase flow physics such as phase changes, shock discontinuities, and their interactions are well captured, confirming the suitability of the proposed numerical framework to wide engineering applications.

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Acknowledgements

This research is supported by the program of National Research Foundation of Korea (NRF-2014M1A3A3A02034856), by Advanced Research Center Program (NRF-2013R1A5A1073861) through the National Research Foundation of Korea (NRF) Grant funded by the Korea government (MSIP) contracted through Advanced Space Propulsion Research Center at Seoul National University, and by the Civil-Military Technology Cooperation Program. This work is also supported by the KISTI Supercomputing Center (KSC-2016-C3-0067, KSC-2017-G2-0004). The authors appreciate the valuable experimental data provided by Doosan Heavy Industries and Chungnam National University Cavitation Tunnel (CNU-CT). Finally, the comments and suggestions of the reviewers on the original manuscript are highly appreciated.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul, 08826, Republic of Korea

    H. Kim, Y. Choe, D. Min & C. Kim

  2. Hyundai Maritime Research Institute, Hyundai Heavy Industries, 75 Yulgok-ro, Jongno-gu, Seoul, 03058, Republic of Korea

    H. Kim

  3. Institute of Advanced Aerospace Technology, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul, 08826, Republic of Korea

    C. Kim

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Correspondence to C. Kim.

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Communicated by D. Zeidan and H. D. Ng.

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Kim, H., Choe, Y., Kim, H. et al. Methods for compressible multiphase flows and their applications. Shock Waves 29, 235–261 (2019). https://doi.org/10.1007/s00193-018-0829-x

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