Abstract
Atmospheric boundary layer (ABL) flow over multiple-hill terrain is studied numerically. The spectral vanishing viscosity (SVV) method is employed for implicit large eddy simulation (ILES). ABL flow over one hill, double hills, and three hills are presented in detail. The instantaneous three-dimensional vortex structures, mean velocity, and turbulence intensity in mainstream and vertical directions around the hills are investigated to reveal the main properties of this turbulent flow. During the flow evolution downstream, the Kelvin-Helmholtz vortex, braid vortex, and hairpin vortex are observed sequentially. The turbulence intensity is enhanced around crests and reduced in the recirculation zones. The present results are helpful for understanding the impact of topography on the turbulent flow. The findings can be useful in various fields, such as wind energy, air pollution, and weather forecasting.
Similar content being viewed by others
References
Finnigan J., Ayotte K., Harman I. et al. Boundary-layer flow over complex topography [J]. Boundary-Layer Meteorology, 2020, 177(2): 247–313.
Liu L., Stevens R. Effects of two-dimensional steep hills on the performance of wind turbines and wind farms [J]. Boundary-Layer Meteorology, 2020, 176(2): 251–269.
Gao Z. T., Feng X. Y., Zhang Z. T. et al. A brief discussion on offshore wind turbine hydrodynamics problem [J]. Journal of Hydrodynamics, 2022, 34(1): 15–30.
Pardyjak E. R., Stoll R. Improving measurement technology for the design of sustainable cities [J]. Measurement Science and Technology, 2017, 28(9): 092001.
Holtslag A. A. M., Svensson G., Baas P. et al. Stable atmospheric boundary layers and diurnal cycles–Challenges for weather and climate models [J]. Bulletin of the American Meteorological Society, 2013, 94(11): 1691–1706.
Cao S., Tamura T. Experimental study on roughness effects on turbulent boundary layer flow over a two-dimensional steep hill [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2006, 94(1): 1–19.
Li J., Wang B., Qiu X. et al. Three-dimensional vortex dynamics and transitional flow induced by a circular cylinder placed near a plane wall with small gap ratios [J]. Journal of Fluid Mechanics, 2022, 953: A2.
Wang S. C., Huang S. X., Li Y. Sensitive numerical simulation and analysis of rainstorm using nested WRF model [J]. Journal of Hydrodynamics, 2006, 18(5): 578–586.
Hu W. C., Yang Q. S., Chen H. P. et al. Wind field characteristics over hilly and complex terrain in turbulent boundary layers [J]. Energy, 2021, 224: 120070.
Li G., Qin J. M., Yu H. X. et al. Wind-tunnel experimental studies of the spatial snow distribution over grass and bush surfaces[J]. Journal of Hydrodynamics, 2022, 34(1): 85–93.
Mattuella J. M. L., Loredo-Souza A. M., Oliveira M. G. K. et al. Wind tunnel experimental analysis of a complex terrain micrositing [J]. Renewable and Sustainable Energy Review, 2016, 54: 110–119.
Deng Y., Chong K. L., Wang B. F. et al. Coupling framework for a wind speed forecasting model applied to wind energy [J]. Science China Technological Sciences, 2022, 65(10): 2462–2473.
Luo Y., Yang H., Lu L. Dynamic and microscopic simulation of the counter-current flow in a liquid desiccant dehumidifier [J]. Apply Energy, 2014, 136: 1018–1025.
Lyu J., Mason M. S., Wang C. M. Predicting far-lee wind flow characteristics behind a 2D wedge-shaped obstacle: Experiments, numerical simulations and empirical equations [J]. Building and Environment, 2021, 194: 107673.
Eidsvik K. J. A system for wind power estimation in mountainous terrain. Prediction of Askervein hill data [J]. Wind Energy, 2005, 8(2): 237–249.
Berg J., Mann J., Bechmann A., et al. The bolund experiment, Part I: flow over a steep, three-dimensional hill [J]. Boundary-Layer Meteorology, 2011, 141(2): 219–243.
Jiang H., Dun H., Tong D. et al. Sand transportation and reverse patterns over leeward face of sand dune [J]. Geomorphology, 2017, 283: 41–47.
Dupont S., Bruneta Y., Finnigan J. J. Large-eddy simulation of turbulent flow over a forested hill: Validation and coherent structure identification [J]. Quarterly Journal of the Royal Meteorological Society, 2008, 134(636): 1911–1929.
Zhou Z. T., Xu Z. Y., Wang S. Z. et al. Wall-modeled large-eddy simulation of noise generated by turbulence around an appended axisymmetric body of revolution [J]. Journal of Hydrodynamics, 2022, 34(4): 533–554.
Yang Q., Zhou T., Yan B. et al. LES study of topographical effects of simplified 3D hills with different slopes on ABL flows considering terrain exposure conditions [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2021, 210: 104513.
Aminian J. Scale adaptive simulation of vortex structures past a square cylinder [J]. Journal of Hydrodynamics, 2018, 30(4): 657–671.
Wood N. Wind flow over complex terrain: A historical perspective and the prospect for large-eddy modelling [J]. Boundary-Layer Meteorology, 2000, 96(1–2): 11–32.
Tamura T., Okuno A., Sugio Y. LES analysis of turbulent boundary layer over 3D steep hill covered with vegetation [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2007, 95(9–11): 1463–1475.
Cao S., Tong W., Ge Y. et al. Numerical study on turbulent boundary layers over two-dimensional hills–Effects of surface roughness and slope [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2012, 104–106: 342–349.
Liu Z., Ishihara T., Tanaka T. et al. LES study of turbulent flow fields over a smooth 3-D hill and a smooth 2-D ridge [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2016, 153: 1–12.
Liu Z., Wang W., Wang Y. et al. Large-eddy simulations of slope effects on flow fields over isolated hills and ridges [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2020, 201: 104178.
Ishihara T., Qi Y. Numerical study of turbulent flow fields over steep terrain by using modified delayed detached-eddy simulations [J]. Boundary-Layer Meteorology, 2019, 170(1): 45–68.
Wang B., Cheng F., Xu H. et al. Implicit Large eddy simulation of wind flow over rough terrain [C]. 17th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC2017), Maui, USA, 2017.
Sherwin S. J., Kirby R. M., Biotto C. et al. Nektar++: An open-source spectral/hp element framework [J]. Computer Physics Communications, 2015, 192: 205–219.
Xu H., Cantwell C. D., Monteserin C. et al. Spectral/hp element methods: Recent developments, applications, and perspectives [J]. Journal of Hydrodynamics, 2018, 30(1): 1–22.
Tadmor E. Convergence of spectral methods for nonlinear conservation laws [J]. SIAM Journal on Numerical Analysis, 1989, 26(1): 30–44.
Maday Y., Kaber S. M. O., Tadmor E. Legendre pseudospectral viscosity method for nonlinear conservation laws [J]. SIAM Journal on Numerical Analysis, 1993, 30(2): 321–342.
Kirby R. M., Sherwin S. J. Stabilisation of spectral/hp element methods through spectral vanishing viscosity: Application to fluid mechanics modelling [J]. Computer Methods in Applied Mechanics and Engineering, 2006, 195(23–24): 3128–3144.
Acknowledgement
This research received other funding agency in the public, commercial, or not-for-profit sectors.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest: The authors declare that they have no conflict of interest. Bo-fu Wang is an editorial board member for the Journal of Hydrodynamics and was not involved in the editorial review, or the decision to publish this article. All authors declare that there are no other competing interests.
Ethical approval: This article does not contain any studies with human participants or animals performed by any of the authors.
Informed consent: Informed consent was obtained from all individual participants included in the study.
Additional information
Project supported by the National Natural Science Foundation of China (Grant Nos. 12372220, 12372219, 11972220, 12072185, 91952102 and 12032016).
Biography: Ying Deng (1990-), Female, Ph. D.
Rights and permissions
About this article
Cite this article
Deng, Y., Chong, K.L., Li, Y. et al. Large-eddy simulation of turbulent boundary layer flow over multiple hills. J Hydrodyn 35, 746–756 (2023). https://doi.org/10.1007/s42241-023-0050-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42241-023-0050-y