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Application of Liutex for Analysis of Complex Wake Flows Characteristics of the Wind Turbine

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Liutex and Third Generation of Vortex Definition and Identification

Abstract

To further understand the complicated wake characteristics of the wind turbine under various conditions, the Liutex vector is applied to identify the vortex in the turbine wake. The actuator line model is used to predict the aerodynamic performance of wind turbine. By combining the actuator line model and finite element method, the aeroelastic responses of wind turbine are obtained. Moreover, the actuator line model is embedded into in-house CFD code naoe-FOAM-SJTU to predict the coupled aero-hydrodynamic performance of the FOWT. Different vortex identification methods including the Vorticity method, Q method and Liutex method are adopted to visualize the wake characteristics. The wake characteristics of wind turbine calculated from different simulations are discussed in detail. Several conclusions can be drawn from the simulation results and discussions. Compared with the Vorticity method and Q method, the Liutex vector can better describe the complex wake characteristic of wind turbine in various conditions. The wake vorticity distribution behind the wind turbine is found to be asymmetric. In addition, the wake characteristics of the FOWT become more uneven when the platform motions are taken into consideration, and significant wake expansion phenomenon is observed.

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References

  1. Ö. Ceyhan, F. Grasso, Investigation of wind turbine rotor concepts for offshore wind farms. J. Phys.: Conf. Ser. 524(1), 012032 (2014)

    Google Scholar 

  2. N. Ederer, The right size matters: Investigating the offshore wind turbine market equilibrium. Energy 68, 910–921 (2014)

    Article  Google Scholar 

  3. L. Wang, X. Liu, A. Kolios, State of the art in the aeroelasticity of wind turbine blades: Aeroelastic modelling. Renew. Sust. Energ. Rev. 64, 195–210 (2016)

    Article  Google Scholar 

  4. H. Meng, F.S. Lien, L. Li, Elastic actuator line modelling for wake-induced fatigue analysis of horizontal axis wind turbine blade. Renew. Energy 116, 423–437 (2018)

    Article  Google Scholar 

  5. Z. Ma, P. Zeng, L.P. Lei, Analysis of the coupled aeroelastic wake behavior of wind turbine. J. Fluids Struct. 84, 466–484 (2019)

    Article  ADS  Google Scholar 

  6. M.C. Hsu, Y. Bazilevs, Fluid–structure interaction modeling of wind turbines: Simulating the full machine. Comput. Mech. 50(6), 821–833 (2012)

    Article  Google Scholar 

  7. L. Wang, X. Liu, A. Kolios, State of the art in the aeroelasticity of wind turbine blades: Aeroelastic modelling. Renew. Sust. Energ. Rev. 64, 195–210 (2016)

    Article  Google Scholar 

  8. N.J. Choi, H.N. Sang, J.H. Jeong, K.C. Kim, CFD study on aerodynamic power output changes with inter-turbine spacing variation for a 6 mw offshore wind farm. Energies 7(11), 7483–7498 (2014)

    Article  Google Scholar 

  9. N.J. Choi, H.N. Sang, J.H. Jeong, K.C. Kim, Numerical study on the horizontal axis turbines arrangement in a wind farm: effect of separation distance on the turbine aerodynamic power output. J. Wind Eng. Ind. Aerodyn. 117(117), 11–17 (2013)

    Article  Google Scholar 

  10. X. Sun, D. Huang, G. Wu, The current state of offshore wind energy technology development. Energy 41(1), 298–312 (2012)

    Article  Google Scholar 

  11. Y. Huang, D. Wan, Investigation of interference effects between wind turbine and spar-type floating platform under combined wind-wave excitation. Sustainability 12(1), 246 (2020)

    Article  Google Scholar 

  12. V. Leble, G. Barakos, 10-MW wind turbine performance under pitching and yawing motion. J. Sol. Energy Eng. 139(4), 041003 (2017)

    Article  Google Scholar 

  13. H. Hu, M. Khosravi, P. Sarkar, in An Experimental Investigation on the Aeromechanic Performance and Wake Characteristics of a Wind Turbine Model Subjected to Pitch Motions. 34th Wind Energy Symposium (2016)

    Google Scholar 

  14. C. Liu, Y.S. Gao, X.R. Dong, Y.Q. Wang, J.M. Liu, Y.N. Zhang, Third generation of vortex identification methods: omega and liutex/rortex based systems. J. Hydrodyn. Ser. B. 31, 205–223 (2019)

    Google Scholar 

  15. Y.N. Zhang, K.H. LIU, J.W. Li, Analysis of the vortices in the inner flow of reversible pump turbine with the new omega vortex identification method. J. Hydrodyn. 30(3), 463–469 (2018)

    Article  ADS  Google Scholar 

  16. N. Gui, H.B. Qi, L. Ge, Analysis and correlation of fluid acceleration with vorticity and Liutex (Rortex) in swirling jets. J. Hydrodyn. (2019)

    Google Scholar 

  17. J.N. Sørensen, W.Z. Shen, Numerical modeling of wind turbine wakes. J. Fluids Eng. 124(2), 393–399 (2002)

    Article  Google Scholar 

  18. P. Li, P. Cheng, D. Wan, Q. Xiao, in Numerical Simulations of Wake Flows of Floating Offshore Wind Turbines by Unsteady Actuator Line Model. The Ninth International Workshop on Ship and Marine Hydrodynamics, Glasgow, UK, August (2015)

    Google Scholar 

  19. Z.R. Shen, H.J. Cao. D.C. Wan, in Manual of CFD solver for ship and ocean engineering flows: NAOE-FOAM-SJTU. Technical Report for Solver Manual, Shanghai Jiao Tong University (2012)

    Google Scholar 

  20. P. Cheng, Y. Huang, D. Wan, A numerical model for fully coupled aero-hydrodynamic analysis of floating offshore wind turbine. Ocean Eng. 173, 183–196 (2019)

    Article  Google Scholar 

  21. J. Jonkman, Definition of the Floating System for Phase IV of OC3 (No. NREL/TP-500-47535) (National Renewable Energy Lab (NREL), Golden, CO (United States), 2010)

    Book  Google Scholar 

  22. J. Jonkman, S. Butterfield, W. Musial, G. Scott, Definition of a 5-MW Reference wind Turbine for Offshore System Development (No. NREL/TP-500-38060) (National Renewable Energy Lab (NREL), Golden, CO (United States), 2009)

    Book  Google Scholar 

  23. J. Jonkman, W. Musial, Offshore Code Comparison Collaboration (OC3) for IEA Wind Task 23 Offshore wind Technology and Deployment (No. NREL/TP-5000-48191) (National Renewable Energy Lab (NREL), Golden, CO (United States), 2010)

    Book  Google Scholar 

  24. T. M. Fletcher, R. E. Brown, Simulation of wind turbine wake interaction using the vorticity transport model. Wind Energy, 13(7), 587–602 (2010)

    Google Scholar 

  25. R. Mikkelsen, J. N. Sørensen, S. Øye, N. Troldborg, Analysis of Power Enhancement for a Row of Wind Turbines Using the Actuator Line Technique. J. Phys: Conf. Ser. 75, 012044 (2007)

    Google Scholar 

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (51879159), The National Key Research and Development Program of China (2019YFB1704200, 2019YFC0312400), Chang Jiang Scholars Program (T2014099), and Innovative Special Project of Numerical Tank of Ministry of Industry and Information Technology of China (2016-23/09), to which the authors are most grateful.

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Correspondence to Decheng Wan .

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Huang, Y., Cao, L., Wan, D. (2021). Application of Liutex for Analysis of Complex Wake Flows Characteristics of the Wind Turbine. 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_24

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