Numerical Study of the Wake Flow of a Wind Turbine with Consideration of the Inflow Turbulence

Xiaoyu Luo, Qiuming Li, Shishu Xiong, Zhenqing Liu


Considering the fact that wind turbines operate at the bottom of the atmospheric boundary layer (ABL) where the turbulence is at a high level, and the difficulty of mesh generation in the fully modeled numerical simulation, it is necessary to carry out researches to study the wake flow of wind turbines with consideration of the inflow turbulence. Therefore, a numerical method generating turbulence was proposed and the results show good agreement with those in experiments, based on which the flow fields in the wake of a wind turbine at two tip speed ratios are examined in detail through three actuator methods, namely, ADM, ADM-R and ALM. The performances of these methods were studied and the error sources for each method are clarified. Moreover, the computational efficiency were revealed and the influencing factor for the efficiency is concluded. Besides, the equilibrium relation of the N-S equation in the wake is revealed, which provides a theoretical basis for the optimal arrangement of the wind turbine. It shows that the mean velocity and fluctuating velocity vary greatly near the wind turbine, and become stable gradually away from the wind turbine. The results of ALM method shows the best agreement with the experiment. At near wake region, the turbulent stress term, pressure gradient term and convection term mainly contribute to the equation equilibrium, and convection term is in equilibrium with the turbulent stress term at the far wake.


Actuator Disk; Actuating Line; Wind Turbines Wake; CFD; Numerical Simulation.


Hand, M. M., Simms, D. A., Fingersh, L. J., Jager, D. W., Cotrell, J. R., Schreck, S., and Larwood, S. M.. “Unsteady Aerodynamics Experiment Phase VI: Wind Tunnel Test Configurations and Available Data Campaigns.” United States (December 2001). doi:10.2172/15000240.

Schreck S. “The Nrel Full-Scale Wind Tunnel Experiment Introduction To The Special Issue.” Wind Energy 5 (July 2002): 77-84. doi:10.1002/we.72.

Alfredsson, P.H. and J.A. Dahlberg. “A Preliminary Wind Tunnel Study of Windmill Wake Dispersion in Various Flow Conditions.” Part 7 (1979).

Wang Yuanbo, Li Chun, Yan Weirun, et al. “Research on Wind Turbine Control Strategy Based on Power Output of Whole Wind Field.” Proceeding of the CSEE 37 (August 2017): 4437-4445. doi:10.13334/j.0258-8013.pcsee.161233.

Ebert, P.R. and D.H. Wood. “The Near Wake of A Model Horizontal-Axis Wind Turbine—II. General Features of The Three-Dimensional Flow Field.” Renewable Energy 8 (December 1999): 513-534. doi:10.1016/S0960-1481(98)00797-6.

Dave Simms, Maureen Hand, Dave Jager, Jason Cotrell, Mike Robinson, Scott Schreck, Scott Larwood, and Lee Fingersh. “Wind Tunnel Testing of NREL's Unsteady Aerodynamics Experiment.” 20th 2001 Asme Wind Eergy Symposium. doi:10.2514/6.2001-35.

Dai Dandan, Ma Bo, He Yan. “Research on Wind Turbine Trail Characteristics Based on Fluent.” Mechanical Engineering & Automation 4 (August 2017):10-12.

Yan Haijin, Hu Danmei, Li Jia. “Numerical Simulation of Flow Field in Impeller of Horizontal Axis Wind Turbine.” Journal of Shanghai University of Electric Power 2 (April 2010): 123-126. doi:10.3969/j.issn.1006-4729.2010.02.006.

Li Shaohua, Yue Weipeng, Kuang Qingfeng, Wu Dianwen, Wang Chengyin. “Numerical Simulation of Double Turbine Wake Interaction and Array.” Proceedings of the CSEE 5 (February 2011): 101-107. doi: 10.13334/j.0258-8013.pcsee.2011.05.019.

Yang Rui, Xia Wei, Wang Tingting, Li Jinlong. “Application of Actuating Disk Model in Wind Farm.” Journal of Lanzhou University of Technology 1 (May 2016): 66-69. doi:10.3969/j.issn.1673-5196.2016.01.014.

Ren Huilai, Zhang Xiaodong, Kang Shun. “Simulation Analysis of Wind Turbine Tail Flow Based on Non-uniform Actuation Disk.” Hydroelectric Energy Science 35 (February 2017): 193-195.

Li Pengfei, Liu Jiancheng. “Numerical Simulation of Wake Field of Wind Turbine Based on Actuation Line Model.” Chinese Journal of Hydrodynamics 31 (March 2016):127-134. doi:10.16076/j.cnki.cjhd.2016.02.001.

Han Xingxing, Xu Chang, Liu Deyou. “Actuator Disk Model of Wind Farms Based on the Rotor Average Wind S peed.” Journal of Engineering Thermophysics 37 (March 2016): 501-506.

Zhao Feng, Duan Wei. “Loading Analysis and Strength Cacluation of Wind Turbine Blade Based on Blade Element Momentum Theory and Finite Element Method.” Machinery Design & Manufacture 8 (August 2010): 42-44. doi:10.19356/j.cnki.1001-3997.2010.08.019.

Zhu Chong. “Numerical Simulation of Wake Flow Field of Wind Turbine.” Nanjing University of Aeronautics and Astronautics (2012).

Hou Yali, Wang Jianwen, Wang Qiang, Wang Xinting. “Effect of Wind Shear on the Wake Turbulence Characteristics of the Wind Turbine.” Journal of Mechanical Engineering 16 (August 2016): 149-155. doi:10.3901/JME.2016.16.149.

Ai Yong, Cheng Ping, Wan Decheng. “Numerical simulation of the wake field of staggered two fans based on actuating line model.” Ocean Engineering 36 (January 2018):27-36.doi:10.16483 /j.issn.1005-9865.2018.01.004.

Ishihara Meng, Qian Qiwei. “Numerical Prediction of Wind Turbine Wake and Proposal of Analytical Model.” Symposium on Wind Engineering Symposium Proceedings of 24th Wind Engineering Symposium the Japan Wind Cooperation Association (2016): 151-156.

Martin O L H.. “Aerodynamics of Wind Turbines.” Xiao Jinsong, translated. Beijing: China Electric Power Press (2009).

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DOI: 10.28991/cej-03091125


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