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Test Of Turbulence Models For Wind Flow Over Terrain With Separation And Recirculation

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Abstract

Several two-equation turbulence models using isotropic eddy viscosity and wall functions are assessed by solution of the neutral atmospheric boundary layer over a flat surface and wind flow over two- and three-dimensional models and real terrain. Calculations are presented for wind flow over the Sirhowy Valley in Wales, an embankment along the Rhine in Germany and the Askervein Hill in Scotland. Comparisons of predictions with previous work, and laboratory and field data, show that the RNG-based k–∈ model gives the best agreement with respect to the flow profiles and length of the separated flow region. The results of this model are analyzed with a non-linear stress-strain relation to gauge the potential effect of turbulence anisotropy.

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References

  • Apsley, D. D. and Castro, I. P.: 1997, ‘A Limited-Length-Scale k–∈ Model for the Neutral and Stably-Stratified Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 83, 75–98.

    Google Scholar 

  • Arya, S. and Shipman, M.: 1981, ‘An Experimental Investigation of Flow and Diffusion in the Disturbed Boundary Layer over a Ridge – I. Mean Flow and Turbulence Structure’, Atmos. Environ. 15, 1173–1184.

    Google Scholar 

  • Brost, R. and Wyngaard, J. C.: 1978, ‘A Model Study of the Stably Stratified Planetary Boundary Layer’, J. Atmos. Sci. 36, 1821–1822.

    Google Scholar 

  • Castro, I. P. and Apsley, D. D.: 1997, ‘Flow and Dispersion over Topography: A Comparison Between Numerical and Laboratory Data for Two-Dimensional Flows’, Atmos. Environ. 31, 839–850.

    Google Scholar 

  • Craft, T. J., Launder, B. E., and Suga, K.: 1997, ‘Prediction of Turbulent Transitional Phenomena with a Nonlinear Eddy-Viscosity Model’, Int. J. Heat Fluid Flow 18, 15–28.

    Google Scholar 

  • Deterling, H.W. and Etling, D.: 1985, ‘Application of the E Turbulence Model to the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 33, 113–133.

    Google Scholar 

  • Duynkerke, P. G.: 1988, ‘Application of the E Turbulence ClosureModel to the Neutral and Stable Atmospheric Boundary Layer’, J. Atmos. Sci. 45, 865–880.

    Google Scholar 

  • Finnigan, J. J., Raupach, M. R., Bradley, E. F., and Aldis, G. K.: 1990, ‘A Wind Tunnel Study of Turbulent Flow over a Two-Dimensional Ridge’, Boundary-Layer Meteorol. 50, 277–317.

    Google Scholar 

  • Hauf, T. and Neumann-Hauf, G.: 1982, ‘The Turbulent Wind Flow over an Escarpment’, Boundary-Layer Meteorol. 24, 357–369.

    Google Scholar 

  • Hosker, R. P.: 1984, ‘Flow and Diffusion near Obstacles’, in D. Randerson (ed.), Atmospheric Science and Power Production, pp. 241–325.

  • Jones,W. P. and Launder, B. E.: 1972, ‘The Prediction of Laminarization with a Two-EquationModel of Turbulence’, Int. J. Heat Mass Transfer 15, 301–314.

    Google Scholar 

  • Jung, S. J.: 1994, ‘Application of the E Turbulence Numerical Model to a Flow and Dispersion Around Triangular Ridge (I)’, J. Korea Air Pollution Res. Assoc. 10, 116–123.

    Google Scholar 

  • Kim, H. G.: 1997, ‘Numerical Investigation of the Pollutant Dispersion over Complex Terrain’, Ph.D. Thesis, Dept. of Mech. Eng. Pohang Univ. of Sci. and Tech.

  • Kim, H. G., Lee, C. M., Lim, H. C., and Kyong, N. H.: 1997, ‘An Experimental and Numerical Study on the Flow over Two-Dimensional Hills’, J. Wind Eng. Ind. Aerodyn. 66, 17–33.

    Google Scholar 

  • Kim, H. G. and Lee, C. M.: 1998, ‘Pollutant Dispersion over Two-Dimensional Hilly Terrain’, KSME Int'l J. 12, 96–111.

    Google Scholar 

  • Lee, S. J. and Park, C.W.: 1997, ‘Surface Pressure Variations on a Triangular Prismby Porous Fences in a Simulated Atmospheric Boundary Layer’, J. Wind Eng. Ind. Aerodyn. 73, 45–58.

    Google Scholar 

  • Leschziner, M. A. and Rodi,W.: 1981, ‘Calculation of Annular and Twin Parallel Jets Using Various Discretisation Schemes and Turbulence-Model Variations’, J. Fluids Eng. 103, 352–360.

    Google Scholar 

  • Mason, P. J. and King, J. C.: 1984, ‘Atmospheric Flow over a Succession of Nearly Two-Dimensional Ridges and Valleys’, Quart. J. Roy. Meteorol. Soc. 110, 821–845.

    Article  Google Scholar 

  • Mason, P. J.: 1987, ‘Diurnal Variations in Flow over a Succession of Ridges and Valleys’, Quart. J. Roy. Meteorol. Soc. 113, 1117–1140.

    Google Scholar 

  • Mickle, R. E., Cook, N. J., Hoff, A. M., Jensen, N. O., Salmon, J. R., Taylor, P. A., Tetzlaff, G., and Teunissen, H. W.: 1988, ‘The Askervein Hill Project: Vertical Profiles of Wind and Turbulence’, Boundary-Layer Meteorol. 43, 143–169.

    Google Scholar 

  • Mouzakis, F. N. and Bergeles, G. C.: 1991, ‘Numerical Prediction of Turbulent Flow over a Two-Dimensional Ridge’, Int'l J. Numer. Meth. Fluids 12, 297–296.

    Google Scholar 

  • Patel, V. C.: 1998, ‘Perspective: Flow at High Reynolds Number and over Rough Surfaces – Achilles Heel of CFD’, J. Fluids Eng. 120, 434–444.

    Google Scholar 

  • Patel, V. C. and Yoon, J. Y.: 1995, ‘Application of Turbulence Models to Separated Flow over Rough Surfaces’, J. Fluids Eng. 117, 234–241.

    Google Scholar 

  • Raithby, G. D., Stubley, G. D., and Taylor, P. A.: 1987, ‘The Askervein Hill Project: A Finite Control Volume Prediction of Three-Dimensional Flows over the Hill’, Boundary-Layer Meteorol. 39, 247–267.

    Google Scholar 

  • Rodi,W.: 1993, ‘TurbulenceModels and their Application in Hydraulics’, A State-of-the-Art Review, 3rd edn., IAHR Monograph, 104 pp.

  • Salmon, J. R., Bowen, A. J., Hoff, A. M., Johnson, R., Mickle, R. E., and Taylor, P. A.: 1988, ‘The Askervein Hill Experiment: Mean Wind Variations at Fixed Heights above the Ground’, Boundary-Layer Meteorol. 43, 247–271.

    Google Scholar 

  • Teunissen, H. W., Shokr, M. E., Bowen, A. J., Wood, C. J., and Green, D. W. R.: 1987, ‘Askervein Hill Project: Wind-Tunnel Simulations at Three Length Scales’, Boundary-Layer Meteorol. 40, 1–29.

    Google Scholar 

  • Walmsley, J. L. and Taylor, P. A.: 1996, ‘Boundary-Layer Flow over Topography: Impacts of the Askervein Study’, Boundary-Layer Meteorol. 78, 291–320.

    Google Scholar 

  • Wilcox, D. C.: 1988, ‘Reassessment of the Scale-Determining Equation for Advanced Turbulence Models’, AIAA J. 26, 1299–1309.

    Google Scholar 

  • Yakhot, V. and Orszag, S. A.: 1986, ‘Renormalization Group Analysis of Turbulence. I. Basic Theory’, J. Scientific Computations 1, 3–51.

    Google Scholar 

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Kim, H.G., Patel, V.C. Test Of Turbulence Models For Wind Flow Over Terrain With Separation And Recirculation. Boundary-Layer Meteorology 94, 5–21 (2000). https://doi.org/10.1023/A:1002450414410

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