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Determination of epsilon for Omega vortex identification method

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Abstract

In the present paper, epsilon (ε) in the Omega vortex identification criterion (Ω method) is defined as an explicit function in order to apply the Ω method to different cases and even different time steps for the unsteady cases. In our method, ε is defined as a function relating with the flow without any subjective adjustment on its coefficient. The newly proposed criteria for the determination of ε is tested in several typical flow cases and is proved to be effective in the current work. The test cases given in the present paper include boundary layer transition, shock wave and boundary layer interaction, and channel flow with different Reynolds numbers.

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Acknowledgements

This work was supported by the Department of Mathematics at University of Texas at Arlington. The authors are grateful to Texas Advanced Computing Center (TACC) for the computation hours provided. This work is accomplished by using Code DNSUTA released by Prof. Chaoqun Liu at University of Texas at Arlington in 2009.

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Authors and Affiliations

  1. National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing, 210094, China

    Xiang-rui Dong  (董祥瑞)

  2. Department of Mathematics, University of Texas at Arlington, Arlington, Texas, USA

    Xiang-rui Dong  (董祥瑞) & Chaoqun Liu

  3. School of Aerospace Engineering, Tsinghua University, Beijing, 100084, China

    Yi-qian Wang  (王义乾)

  4. School of Mechanical Engineering, Zhejiang Sci-Tech University, Zhejiang, 310018, China

    Xiao-ping Chen  (陈小平)

  5. Department of Mathematics, University of Central Arkansas, Conway, Arkansas, USA

    Yinlin Dong

  6. Key Laboratory of Condition Monitoring and Control for Power Plant Equipment (Ministry of Education), School of Energy, Power and Mechanical Engineering, North China Electric Power University, Beijing, 102206, China

    Yu-ning Zhang  (张宇宁)

  7. Beijing Key Laboratory of Emission Surveillance and Control for Thermal Power Generation, North China Electric Power University, Beijing, 102206, China

    Yu-ning Zhang  (张宇宁)

Authors
  1. Xiang-rui Dong  (董祥瑞)
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  2. Yi-qian Wang  (王义乾)
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  3. Xiao-ping Chen  (陈小平)
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  4. Yinlin Dong
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  5. Yu-ning Zhang  (张宇宁)
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  6. Chaoqun Liu
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Corresponding author

Correspondence to Yu-ning Zhang  (张宇宁).

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 51506051).

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Dong, Xr., Wang, Yq., Chen, Xp. et al. Determination of epsilon for Omega vortex identification method. J Hydrodyn 30, 541–548 (2018). https://doi.org/10.1007/s42241-018-0066-x

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  • DOI: https://doi.org/10.1007/s42241-018-0066-x

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