DOI QR코드

DOI QR Code

Consistent inflow boundary conditions for modelling the neutral equilibrium atmospheric boundary layer for the SST k-ω model

  • Yang, Yi (State Key Laboratory of Subtropical Building Science, South China University of Technology) ;
  • Xie, Zhuangning (State Key Laboratory of Subtropical Building Science, South China University of Technology) ;
  • Gu, Ming (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji Univeristiy)
  • 투고 : 2016.04.01
  • 심사 : 2017.04.07
  • 발행 : 2017.05.25

초록

Modelling an equilibrium atmospheric boundary layer (ABL) in computational wind engineering (CWE) and relevant areas requires the boundary conditions, the turbulence model and associated constants to be consistent with each other. Among them, the inflow boundary conditions play an important role and determine whether the equations of the turbulence model are satisfied in the whole domain. In this paper, the idea of modeling an equilibrium ABL through specifying proper inflow boundary conditions is extended to the SST $k-{\omega}$ model, which is regarded as a better RANS model for simulating the blunt body flow than the standard $k-{\varepsilon}$ model. Two new sets of inflow boundary conditions corresponding to different descriptions of the inflow velocity profiles, the logarithmic law and the power law respectively, are then theoretically proposed and numerically verified. A method of determining the undetermined constants and a set of parameter system are then given, which are suitable for the standard wind terrains defined in the wind load code. Finally, the full inflow boundary condition equations considering the scale effect are presented for the purpose of general use.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. Balogh M. and Parente A. (2015), "Realistic boundary conditions for the simulation of atmospheric boundary layer flows using an improved k-${\varepsilon}$ model", J. Wind Eng. Ind. Aerod., 144, 183-190. https://doi.org/10.1016/j.jweia.2015.01.010
  2. Baric, E., Dzijan, I. and Kozmar, H. (2010), "Numerical simulation of wind characteristics in the wake of a rectangular building submitted to realistic boundary layer conditions", Transactions of Famena, 34(3), 1-10.
  3. Blocken, B., Stathopoulos, T. and Carmeliet, J. (2007), "CFD simulation of the atmospheric boundary layer: wall function problems", Atmosph. Environ., 41(2), 238-252. https://doi.org/10.1016/j.atmosenv.2006.08.019
  4. Blocken, B. (2014), "50 years of Computational Wind Engineering: Past, present and future", J. Wind Eng. Ind. Aerod., 129, 69-102. https://doi.org/10.1016/j.jweia.2014.03.008
  5. Davenport, A.G. (1967), "The dependence of wind loads on meteorological parameters", Proceedings of the International Seminar on Wind Effects on Buildings and Structures, Ottawa, Canada.
  6. Eurocode 1: Actions on structures-Part 1-4: General actions-Wind actions. http://eurocodes.jrc.ec.europa.eu/.
  7. Franke, J., Hellsten, A., Schlunzen, H. and Carissimo, B. (2007), "Best Practice Guideline for the CFD Simulation of Flows in the Urban Environment", COST Office, Brussels, ISBN 3-00-018312-4. http://www.mi.uni-hamburg.de/Official-Documents.5849.0.html
  8. Hargreaves, D.M. and Wright. N.G. (2007), "On the use of the k-${\varepsilon}$ model in commercial CFD software to model the neutral atmospheric boundary layer", J. Wind Eng. Ind. Aerod., 95(5), 355-369. https://doi.org/10.1016/j.jweia.2006.08.002
  9. Gorle, C., van Beeck, J. and Rambaud, P. (2010), "Dispersion in the wake of a rectangular building: validation of two reynolds-averaged navier-Stokes modelling approaches", Bound. -Lay. Meteorol., 137(1), 115-133. https://doi.org/10.1007/s10546-010-9521-0
  10. Gorle, C., van Beeck, J., Rambaud, P. and Van Tendeloo, G. (2009), "CFD modelling of small particle dispersion: The influence of the turbulence kinetic energy in the atmospheric boundary layer", Atmosph. Environ., 43, 673-681. https://doi.org/10.1016/j.atmosenv.2008.09.060
  11. Kozmar, H. (2011), "Wind-tunnel simulations of the suburban ABL and comparison with international standards", Wind Struct., 14(1), 15-34. https://doi.org/10.12989/was.2011.14.1.015
  12. Labovsky, J. and Jelemensky, L. (2011), "Verification of CFD pollution dispersion modelling based on experimental data", J. Loss Prevent. Proc., 24(2), 166-177. https://doi.org/10.1016/j.jlp.2010.12.005
  13. Load Code for the Design of Building Structures, GB 5009-2012, Ministry of Construction, China.
  14. Menter, F.R. (1994), "Two-equation eddy-viscosity turbulence models for engineering applications", AIAA J., 32(8), 1598-1605. https://doi.org/10.2514/3.12149
  15. O'Sullivan, J.P., Archer, R.A. and Flay, R.G.J. (2011), "Consistent boundary conditions for flows within the atmospheric boundary layer", J. Wind Eng. Ind. Aerod., 99, 65-77. https://doi.org/10.1016/j.jweia.2010.10.009
  16. Parente A., Gorle C., van Beeck J. and Benocci C. (2011a), "Improved k-${\varepsilon}$ model and wall function formulation for the RANS simulation of ABL flows", J. Wind Eng. Ind. Aerod., 99, 267-278. https://doi.org/10.1016/j.jweia.2010.12.017
  17. Parente A., Gorle C., van Beeck J. and Benocci C. (2011b), "A comprehensive modelling approach for the neutral atmospheric boundary layer: Consistent inflow conditions, wall function and turbulence model", Bound. - Lay.Meteorol., 140, 411-428. https://doi.org/10.1007/s10546-011-9621-5
  18. Richards P.J. and Hoxey R.P. (1993), "Appropriate boundary conditions for computational wind engineering models using the k-${\varepsilon}$ model", J. Wind Eng. Ind. Aerod., 46-47, 145-153. https://doi.org/10.1016/0167-6105(93)90124-7
  19. Richards, P.J., Quinn, A.D. and Parker, S. (2002), "A 6 m cube in an atmosphere boundary layer flow, Part 2. Computational solutions", Wind Struct., 5(2-4), 177-192. https://doi.org/10.12989/was.2002.5.2_3_4.177
  20. Richards, P.J. and Norris, S.E. (2011), "Appropriate boundary conditions for computational wind engineering models revisited", J. Wind Eng. Ind. Aerod., 99(4), 257-266. https://doi.org/10.1016/j.jweia.2010.12.008
  21. Richards, P.J. and Norris, S.E. (2015), "Appropriate boundary conditions for a pressure driven boundary layer", J. Wind Eng. Ind. Aerod., 142, 43-52. https://doi.org/10.1016/j.jweia.2015.03.003
  22. Tominaga, Y., Mochida, A., Yoshie, R., Kataoka, H., Nozu, T., Yoshikawa, M. and Shirawasa, T. (2008), "AIJ guidelines for practical applications of CFD to pedestrian wind environment around buildings", J. Wind Eng. Ind. Aerod., 96 (10-11), 1749-1761. https://doi.org/10.1016/j.jweia.2008.02.058
  23. Yang, W. (2004), "Numerical simulation research on the wind loads of building structures and their dynamic responses based on RANS", Ph.D. Dissertation, Tongji University, Shanghai.
  24. Yang, W., Quan, Y., Jin, X.Y., Tamura, Y. and Gu, M. (2008), "Influences of equilibrium atmosphere boundary layer and turbulence parameter on wind loads of low-rise building". J. Wind Eng. Ind. Aerod., 96, 2080-2092. https://doi.org/10.1016/j.jweia.2008.02.014
  25. Yang, Y., Gu, M., Chen, S.Q. and Jin, X.Y. (2009), "New inflow boundary conditions for modeling the neutral equilibrium atmospheric boundary layers in Computational Wind Engineering", J. Wind Eng. Ind. Aerod., 97(2), 88-95. https://doi.org/10.1016/j.jweia.2008.12.001

피인용 문헌

  1. Steady RANS model of the homogeneous atmospheric boundary layer vol.173, 2018, https://doi.org/10.1016/j.jweia.2017.12.006
  2. New inflow boundary conditions for modeling twisted wind profiles in CFD simulation for evaluating the pedestrian-level wind field near an isolated building 2018, https://doi.org/10.1016/j.buildenv.2018.01.047
  3. Numerical study on self-sustainable atmospheric boundary layer considering wind veering based on steady k-ε model vol.30, pp.1, 2017, https://doi.org/10.12989/was.2020.30.1.069
  4. Correction of Field-Measured Wind Speed Affected by Deterministic Interference Factors vol.12, pp.4, 2017, https://doi.org/10.3390/app12041868