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Application of Liutex and Some Second-Generation Vortex Identification Methods to Direct Numerical Simulation Data of a Transitional Boundary Layer

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Liutex and Third Generation of Vortex Definition and Identification

Abstract

In this paper, we have used Liutex, Liutex core lines, and some other second-generation vortex identification criteria to capture and visualize the vortex structure of direct numerical simulation data of a flat plate boundary layer transition. The focus of our study is on Λ and hairpin vortices in the transitional region of the boundary layer. We investigated how the change in threshold impacts the iso-surface plotting of different criteria. From our study, it was found that second generation vortex identification criteria like Δ Q, λ2and λciare threshold sensitive but Omega method is not. Moreover, we have used Liutex core lines technique to represent the vortex structure which is unique and not limited by the threshold adjustment.

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References

  1. X. Wu, P. Moin, Direct numerical simulation of turbulence in a nominally zero-pressure gradient flat-plate boundary layer. JFM 630, 5–41 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  2. Y. Yan, C. Chen, F. Huankun, C. Liu, DNS study on Λ-vortex and vortex ring formation in the flow transition at Mach number 0.5. J. Turbul. 15(1), 1–21 (2014)

    Google Scholar 

  3. C. Liu, Y. Yan, P. Lu, Physics of turbulence generation and sustenance in a boundary layer. Comput. Fluids 102, 353–384 (2014)

    Article  Google Scholar 

  4. A.M. Perry, M.S. Chong, A description of eddying motions and flow patterns using critical-point concepts. Annu. Rev. Fluid Mech. 19, 125–155 (1987)

    Article  ADS  Google Scholar 

  5. M.S. Chong, A.E. Perry, A general classification of three-dimensional flow fields. Phys. Fluids A 2(5), 765–777 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  6. J. Jeong, F. Hussain, On the identification of a vortex. J. Fluid Mech. 285, 69–94 (1995). https://doi.org/10.1017/S0022112095000462

  7. J. Zhou, R. Adrian, S. Balachandar, T.M. Kendall, Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353–396 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  8. C. Liu, Y. Gao, X. Dong, Y. Wang, J. Liu, Y. Zhang, X. Cai, N. Gui, Third generation of vortex identification methods: Omega and Liutex/Rortex based systems. J. Hydrodyn. 31(2), 205–223 (2019)

    Article  ADS  Google Scholar 

  9. C. Liu, Y. Wang, Y. Yang, Z. Duan, New omega vortex identification method. Sci. China Phys. Mech. Astron. 59(8), 1–9 (2016)

    Article  Google Scholar 

  10. C. Liu, Y. Gao, S. Tian, X. Dong, Rortex- A new vortex vector definition and vorticity tensor and vector decompositions. Phys. Fluids 30, 035103 (2018)

    Article  ADS  Google Scholar 

  11. Y. Gao, C. Liu, Rortex and comparison with eigenvalue-based identification criteria. Phys. Fluid 30, 085107 (2018)

    Article  ADS  Google Scholar 

  12. Y. Yu, P. Shrestha, C. Nottage, C. Liu, P. Coordinates, Principal velocity gradient tensor decomposition. J. Hydrodyn. (2020). https://doi.org/10.1007/s42241-020-0035-z

  13. X. Dong, Y. Gao, C. Liu, New normalized Rortex/vortex identification method. Phys. Fluids 31(1), 011701 (2019)

    Article  ADS  Google Scholar 

  14. J. Liu, C. Liu, Modified normalized Rortex/vortex identification method. Phys. Fluids 31(6), 061704 (2019)

    Article  ADS  Google Scholar 

  15. Y. Gao, J. Liu, Y. Yu, C. Liu, A Liutex based definition and identification of vortex core center lines, J. Hydrodynamics. 31(3) (2019)

    Google Scholar 

  16. Y. Yan, C. Chen, F. Huankun, C. Liu, DNS study on Λ-vortex and vortex ring formation in flow transition at Mach number 0.5. J. Turbul. 15(1), 1–21 (2014)

    Google Scholar 

  17. C. Liu, Y. Yan, P. Lu, Physics of turbulence generation and sustenance in a boundary layer. Comput. Fluids 102, 353–384 (2014)

    Article  Google Scholar 

  18. X.R. Dong, Y. Wang, X. Chen, Y. Dong, Y. Zhang, C. Liu, Determination of epsilon for omega vortex identification method. J. Hydrodyn. 30(4), 541–546 (2018)

    Article  ADS  Google Scholar 

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Correspondence to Chaoqun Liu .

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Shrestha, P., Bhattarai, A., Liu, C. (2021). Application of Liutex and Some Second-Generation Vortex Identification Methods to Direct Numerical Simulation Data of a Transitional Boundary Layer. In: Liu, C., Wang, Y. (eds) Liutex and Third Generation of Vortex Definition and Identification. Springer, Cham. https://doi.org/10.1007/978-3-030-70217-5_19

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