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Comparison study of turbulent diffusion coefficient using Smagorinsky method and 2-level method

Smagorinsky method와 2-level method를 이용한 난류 확산계수의 비교 연구

  • Published : 2002.07.01

Abstract

Turbulence greatly influence on atmospheric flow field. In the atmosphere, turbulence is represented as turbulent diffusion coefficients. To estimate turbulent diffusion coefficients in previous studies, it has been used constants or 2-level method which divides surface layer and Ekman layer. In this study, it was introduced Smagorinsky method which estimates turbulent diffusion coefficient not to divide the layer but to continue in vertical direction. We simulated 3-D flow model and TKE equation applied turbulent diffusion coefficients using two methods, respectively. Then we showed the values of TKE and the condition of each term to TKE. The results of Smagorinsky method were reasonable. But the results of 2-level method were not reasonable. Therefor, it had better use Smagorinsky method to estimate turbulent diffusion coefficients. We are expected that if it is developed better TKE equation and model with study of computational method in several turbulent diffusion coefficients for reasonably turbulent diffusion, we will able to predict precise wind field and movements of air pollutants.

Keywords

References

  1. 이화운, 김유근, 임주연, 1995, 해륙풍 수치모의 타당성에 관한 연구, 부산대학교 환경문제연구소보, 13, 3-12.
  2. Berkowicz and Prahm, 1978, Generalization of K theory for turbulent diffusion. Part I: Spectral turbulent Diffusivity Concept., Journal of Applied Meteorology 18, 266-272, Part II: Spectral Diffusivity Model for Plume Dispersion., Journal of Applied Meteorology 18, 273-282. https://doi.org/10.1175/1520-0450(1979)018<0266:GOTFTD>2.0.CO;2
  3. Berkowicz and Prahm, 1978, Generalization of K theory for turbulent diffusion. Part II: Spectral Diffusivity Model for Plume Dispersion., Journal of Applied Meteorology 18, 273-282.
  4. Businger, J. A. et al., 1971, Flux-profile relationship in the atmospheric surface layer, J. Atmos. Sci., 28, 181-189. https://doi.org/10.1175/1520-0469(1971)028<0181:FPRITA>2.0.CO;2
  5. Chiba Osamu, 1992, The turbulent characteristics in the lowest part of the sea breeze front in the atmospheric surface layer, Boundary-Layer Meteorology, 65, 181-195. https://doi.org/10.1007/BF00708823
  6. Defant, F., 1950, Theorie der land-und seewind, Arch. Meterol. Geophys. Biokimatol. Ser., A2, 404-425.
  7. Chumann Ulrich, 1990, Large-eddy simulation of the up-slope boundary layer., Q. J. R. Metro. Soc., 116, 637-670. https://doi.org/10.1002/qj.49711649307
  8. Klemp, J. B. and R. B. Wilhlmson, 1978, The simulation of three-dimensional convective storm dynamic, J. Atmos. Sci., 35, 1069-1070.
  9. Lilly, D. K., 1962, On the numerical simulaion of buoyant convection., Tellus, 14, 148-171. https://doi.org/10.1111/j.2153-3490.1962.tb00128.x
  10. Smagorinsky, J., 1963, General circulation experiments with the primitive equations. Part I: The basic experiment, Mon. Wea. Rev., 99-164.
  11. Stull, R. B., 1988, An introduction to Boundary layer Meteorology, Department of Meteorology, University of Wisconsin, Madison, U.S.A.
  12. Yamada, T., 1975, The critical Richsrdson number and the ratio of the eddy transport coefficients obtained from a turbulence closure model, J. Atmos. Sci., 32, 926-933. https://doi.org/10.1175/1520-0469(1975)032<0926:TCRNAT>2.0.CO;2
  13. Yamada, T., 1982, A numerical Model Study of Turbulent Airflow in and above a Forest Canopy, Journal of the Meteorological Society of Japan, 60(1), 439-454. https://doi.org/10.2151/jmsj1965.60.1_439