Log in

Numerical and experimental study of the aerodynamic characteristics around two-dimensional terrain with different slope angles

  • Research Article
  • Published:
Frontiers of Earth Science Aims and scope Submit manuscript

Abstract

Complicated terrain was considered and simplified as two-dimensional (2D) terrain in a dynamical downscaling model and a parametric wind field model for typhoons developed by the Shanghai Typhoon Institute. The 2D terrain was further modeled as uphill and downhill segments with various slope angles relative to the incoming flow. The wind speed ratios and pressure characteristics around the 2D terrain were numerically and experimentally investigated in this study. Aerodynamic characteristics of the 2D terrain with a limited-length upper surface were first investigated in the wind tunnel with sheared incoming flow. The corresponding numerical investigation was also conducted by using the commercial computational fluid dynamics code FLUENT with the realizable k-ε turbulence model. Special efforts were made to maintain the inflow boundary conditions throughout the computational domain. Aerodynamic characteristics were then investigated for the ideal 2D terrain with an unlimited-length upper surface by using a numerical method with uniform incoming flow. Comparisons of the different terrain models and incoming flows from the above studies show that the wind pressure coefficients and the wind speed ratios are both affected by the slope angle. A negative peak value of the wind pressure coefficients exists at the escarpment point, where flow separation occurs, for the uphill and downhill terrain models with slope angles of 40° and 30°, respectively. Correspondingly, the streamwise wind speed ratios at the points above the escarpment point for the uphill terrain model increase with increasing slope angle, reach their peak values at the slope angle of α = 40° and decrease when the slope angle increases further. For the downhill terrain model, similar trends exist at the points above the escarpment point with the exception that the critical slope angle is a = 30°.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Blocken B, Stathopoulos T, Carmeliet J (2007). CFD simulation of the atmospheric boundary layer: wall function problems. Atmos Environ, 41(2): 238–252

    Article  Google Scholar 

  • Bowen A J, Lindley D (1977). A wind-tunnel investigation of the wind speed and turbulence characteristics close to the ground over various escarpment shapes. Boundary-Layer Meteorol, 12(3): 259–271

    Article  Google Scholar 

  • Cao S, Tamura T (2006). Experimental study on roughness effects on turbulent boundary layer flow over a two-dimensional steep hill. J Wind Eng Ind Aerodyn, 94(1): 1–19

    Article  Google Scholar 

  • Cao S, Tamura T (2007). Effects of roughness blocks on atmospheric boundary layer flow over a two-dimensional low hill with/without sudden roughness change. J Wind Eng Ind Aerodyn, 95(8): 679–695

    Article  Google Scholar 

  • Cao S, Wang T, Ge Y, Tamura Y (2012). Numerical study on turbulent boundary layers over two-dimensional hills-effects of surface roughness and slope. J Wind Eng Ind Aerodyn, 104–106: 342–349

    Article  Google Scholar 

  • Cindori M, Juretic F, Kozmar H, Dzijan I (2018). Steady RANS model of the homogeneous atmospheric boundary layer. J Wind Eng Ind Aerodyn, 173: 289–301

    Article  Google Scholar 

  • COST Action 732 (2005–2009). Quality assurance and improvement of micro-scale meteorological models. Available at Hamberg University website

  • Dickinson R E, Errico R M, Giorgi F, Bates G T (1989). A regional climate model for the western United States. Clim Change, 15(3): 383–422

    Article  Google Scholar 

  • Fan L J (2006). Statistical downscaling of local and regional climate scenarios over china. Dissertation for Doctoral Degree. Bei**g: Graduate School of Chinese Academy of Sciences (Institute of Atmospheric Physics) (in Chinese)

    Google Scholar 

  • Fang P Z, Gu M, Tan J G, Han Z H (2015). A method to solve the wall function problem in simulating the atmospheric boundary layer. Journal of Vibration and Shock, 34(2): 85–90 (in Chinese)

    Google Scholar 

  • Hu W C, Yang Q S, Zhang J (2018). Comparative study on wind topographic factor of hilly terrain by different codes and standards. Engineering Mechanics, 35(10): 206–214 (in Chinese)

    Google Scholar 

  • Ishihara T, Hibi K, Oikawa S (1999). A wind tunnel study of turbulent flow over a three-dimensional steep hill. J Wind Eng Ind Aerodyn, 83(1–3): 95–107

    Article  Google Scholar 

  • Ishihara T, Fu**o Y, Hibi K (2001). A wind tunnel study of separated flow over a two-dimensional ridge and a circular hill. J Wind Eng Ind Aerodyn, 89: 573–576

    Google Scholar 

  • Ishihara T, Hibi K (2002). Numerical study of turbulent wake flow behind a three-dimensional steep hill. Wind Struct, 5(2–4): 317–328

    Article  Google Scholar 

  • Jackson P S, Hunt J C R (1975). Turbulent wind flow over a low hill. Q J R Meteorol Soc, 101(430): 929–955

    Article  Google Scholar 

  • Juretic F, Kozmar H (2014). Computational modeling of the atmospheric boundary layer using various two-equation turbulence models. Wind Struct, 19(6): 687–708

    Article  Google Scholar 

  • Kamada Y, Li Q, Maeda T, Yamada K (2019). Wind tunnel experimental investigation of flow field around two-dimensional single hill models. Renew Energ, 136: 1107–1118

    Article  Google Scholar 

  • Kondo K, Tsuchiya M, Sanada S (2002). Evaluation of effect of microtopography on design wind velocity. J Wind Eng Ind Aerodyn, 90(12–15): 1707–1718

    Article  Google Scholar 

  • Launder B E, Spalding D B (1974). The numerical computation of turbulent flows. Comput Methods Appl Mech Eng, 3(2): 269–289

    Article  Google Scholar 

  • Liu Z, Ishihara T, Tanaka T, He X (2016). LES study of turbulent flow fields over a smooth 3-D hill and a smooth 2-D ridge. J Wind Eng Ind Aerodyn, 153: 1–12

    Article  Google Scholar 

  • Lun Y F, Mochida A, Yoshino H, Murakami S (2007). Applicability of linear type revised k-µ models to flow over topographic features. J Wind Eng Ind Aerodyn, 95(5): 371–384

    Article  Google Scholar 

  • Makridis A, Chick J (2013). Validation of a CFD model of wind turbine wakes with terrain effects. J Wind Eng Ind Aerodyn, 123(4): 12–29

    Article  Google Scholar 

  • Mortensen N G, Landberg L (1993). Wind Altas Analysis and Application Program (WASP) User’s Guide. Roskilde, Denmark: Riso National Laboratory

    Google Scholar 

  • Shih T H, Liou W W, Shabbir A, Yang Z, Zhu J (1995). A new eddy viscosity model for high Reynolds number turbulent flows model development and validation. Comput Fluids, 24(3): 227–238

    Article  Google Scholar 

  • Tominaga Y, Mochida A, Yoshie R, Kataoka H, Nozu T, Yoshikawa M, Shirasawa T (2008). AIJ guidelines for practical applications of CFD to pedestrian wind environment around buildings. J Wind Eng Ind Aerodyn, 96(10–11): 1749–1761

    Article  Google Scholar 

  • Van Doormaal J P, Raithby G D (1984). Enhancements of the SIMPLE method for predicting incompressible fluid flows. Numer Heat Tra-Appl, 7(2): 147–163

    Google Scholar 

  • Walton D B, Sun F P, Hall A, Capps S (2015). A hybrid dynamical-statistical downscaling technique. Part I: development and validation of the technique. J Clim, 28(12): 4597–4617

    Article  Google Scholar 

  • Wang W, Shaw W J, Seiple T E, Rishel J P, **e Y (2008). An evaluation of a diagnostic wind model (CALMET). J Appl Meteorol Climatol, 47(6): 1739–1756

    Article  Google Scholar 

  • Wilby R L, Wigley T M L (1997). Downscaling general circulation model output: a review of methods and limitations. Prog Phys Geogr, 21(4): 530–548

    Article  Google Scholar 

  • Wyngaard J C (2004). Toward numerical modeling in the “terra incognita”. J Atmos Sci, 61(14): 1816–1826

    Article  Google Scholar 

  • Yan B W, Li Q S, He Y C, Chan P W (2016). RANS simulation of neutral atmospheric boundary layer flows over complex terrain by proper imposition of boundary conditions and modification on the k-ε model. Environ Fluid Mech, 16(1): 1–23

    Article  Google Scholar 

  • Yang W, Andréasson J, Phil Graham L, Olsson J, Rosberg J, Wetterhall F (2010). Distribution-based scaling to improve usability of regional climate model projections for hydrological climate change impacts studies. Hydrol Res, 41(3–4): 211–229

    Article  Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the support of the Ministry of Science and Technology of China (Grant Nos. 2015CB452806 and 2018YFB1501104), the National Natural Science Foundation of China (Grant Nos. 51408196 and 41805088), the Natural Science Foundation of Shanghai (Grant No. 19ZR1469200) and the Young Backbone Teacher Cultivation Program of Henan University of Technology.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to **zhi Fang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fang, P., Zheng, D., Li, L. et al. Numerical and experimental study of the aerodynamic characteristics around two-dimensional terrain with different slope angles. Front. Earth Sci. 13, 705–720 (2019). https://doi.org/10.1007/s11707-019-0790-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11707-019-0790-8

Keywords

Navigation