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Original Articles

On the dispersion of trace species in the atmospheric boundary layer: a re-formulation of the governing equations for the turbulent flow of the compressible atmosphere

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Pages 500-522 | Received 25 Nov 1998, Accepted 15 Mar 2000, Published online: 15 Dec 2016

References

  • André, J.-C., De Moor, G., Lacarrere, P. and Du Vachat, R. 1976. Turbulence approximations for inhomogeneous flows. Part I: The clipping approxi-mation. J. Atmos. Sc i. 33, 476–481.
  • Batchelor, G. K. 1949. Diffusion in a field of homogen-eous turbulence. Austr. J. Sci. Res. A2,437–450.
  • Bernhardt, K. 1964. Zur Definition der turbulenten Austauschstrome, insbesondere des Turbulenz-wärmestroms. Z. f. Meteor. 17, 95-108 ( in German).
  • Bernhardt, K. 1965. Der Impulsaustauschtensor bei Berticksichtigung der turbulenten Dichteschwan-kungen. Z. f. Meteor. 18, 103-106 ( in German).
  • Bernhardt, K. 1972. Nochmals zur Definition des Turbu-lenzwärmestroms in der Wärmehaushaltsgleichung der Atmosphare. Z. f. Meteor. 23, 65-75 (in German).
  • Bernhardt, K. and Lauter, E. A. 1977. Globale physikal-ische Prozesse und Umwelt. Z. f. Meteor. 27, 1-20 ( in German).
  • Boussinesq, J. 1877. Théorie de l’écoulment tourbillant. Mem. Pres. Acad. Sci. Paris XXIII, 46 pp. ( in French).
  • Busch, N. E. 1973. On the mechanics of atmospheric turbulence. In: Haugen, D. A. (ed.): Workshop on Mic-rometeorology. Amer. Meteor. Soc., Boston, pp. 1–65.
  • Businger, J. A. and Deardorff, J. W. 1968. On the distinction between “total” and eddy heat flux. J. Atmos. Sc i. 25, 521–522.
  • Businger, J. A. 1973. Turbulent transfer in the atmo-spheric surface layer. In: Haugen, D. A. (ed.): Workshop on Micrometeorology. Amer. Meteor. Soc., Boston, pp. 67–100.
  • Cox, G. 1995. Basic considerations. In: Cox, G. (ed.): Combustion fundamentals of fire. Academic Press, London, San Diego, New York, pp. 3–30.
  • Chang, J. S., Brost, R. A., Isaksen, I. S. A., Madronich, S., Middleton, P., Stockwell, W. R. and Walcek, C. J. 1987. A three-dimensional Eulerian acid deposition model: Physical concepts and formulation. J. Geophys. Res. D92, 14681–14700.
  • Damkohler, G. 1940. Influence of turbulence on the vel-ocity of flames in gas mixtures. Z. Elektrochem. 46, 601–626.
  • Deardorff, J. W. 1973. Three-dimensional numerical modeling of the planetary boundary layer. In: Haugen, D. A. (ed.): Workshop on Micrometeorology. Amer. Meteor. Soc., Boston, pp. 271–311.
  • De Groot, S. R. and Mazur, P. 1969. Non-equilibrium thermodynamics. North-Holland Publishing Comp., Amsterdam/London, 514 pp.
  • Doms, G. and Herbert, F. 1985. Fluid-und Mikrodyna-mik in numerischen Modellen konvektiver Wolken. Berichte Inst. f. Meteor. u. Geophys. Univ. Frankfurt/Main nr. 62, 378 pp. ( in German).
  • Donaldson, C. Dup. 1973. Construction of a dynamic model of the production of atmospheric turbulence and the dispersal of atmospheric pollutants. In: Haugen, D. A. (ed.): Workshop on Micrometeorology. Amer. Meteor. Soc., Boston, pp. 313–392.
  • Eliassen, A. and Kleinschmidt, Jr., E. 1957. Dynamic meteorology. In: Fliigge, S. (ed.): Handbuch der Physik, Bd. XLVIII. Springer-Verlag Berlin/Heidelberg/New York, pp. 1–154.
  • Ertel, H. 1943. Die hydro-thermodynamischen Grund-gleichungen turbulenter Luftstromungen. Meteorol. Zeitschrift 60, 289-295 ( in German).
  • Fortak, H. 1969. Zur Energetik der planetarischen Grenzschicht. Annalen der Meteorologie (NF) 4, 157-162 (in German).
  • Garratt, J. R. 1994. The atmospheric boundary layer. Cambridge University Press, 316 pp.
  • Gatski, T. B. 1997. Modeling compressibility effects on turbulence. In: Métais, 0. and Ferziger, J. (eds.): New tools in turbulence modeling. Springer-Verlag, Berlin/Heidelberg/New York, pp. 73–104.
  • Georgii, H.-W. 1965. Untersuchungen fiber Ausregnen und Auswaschen atmosphdrischer Spurenstoffe durch Wolken und Niederschlag. Berichte Deutscher Wetter-dienst nr. 100 (in German).
  • Georgii, H.-W. 1985. Chemische Reaktionen von Gasen und Aerosolen in Regen-und Wolkentropfen und ihre feuchte und trockene Deposition. In: Becker, K. H. and Lobel, J. (eds.): Atmosphtirische Spurenstoffe und ihr physikalisch-chemisches Verhalten. Springer-Verlag, Berlin/Heidelberg/New York/Tokyo, pp. 129–152 ( in German).
  • Georgopoulos, P. G. and Seinfeld, J. H. 1986. Mathemat-ical modeling of turbulent reacting plumes -I. Gen-eral theory and model formulation. Atmos. Environ. 20, 1791–1807.
  • Glansdorff, P. and Prigogine, I. 1971. Thermodynamic theory of structure, stability and fluctuations. Wiley-Interscience, London, 306 pp.
  • Glisten, H., Heinrich, G., Monnich, E., Sprung, D., Weppner, J., Ramadan, A. B., Ezz El-Din, M. R. M., Ahmed, D. M. and Hassan, G. K. Y. 1996. On-line measurements of ozone surface fluxes. Part II: Surface level ozone fluxes onto the Sahara desert. Atmos. Environ. 30, 911–918.
  • Herbert, F. 1975. Irreversible Prozesse der Atmos-phare - 3. Teil (Phänomenologische Theorie mikro-turbulenter Systeme). Beitr. Phys. Atmosph. 48, 1-29 ( in German).
  • Herbert, F. 1980. Prigogine’s diffusion theorem and its application to atmospheric transfer processes. Part 1: The governing theoretical concept. Beitr. Phys. Atmosph. 53, 181–203.
  • Herbert, F. 1983. Prigogine’s diffusion theorem and its application to atmospheric transfer processes. Part 2: Invariance properties and Fick type diffusion laws. Beitr. Phys. Atmosph. 56, 480–494.
  • Herbert, F. 1995. A re-evaluation of the Webb correction using density-weighted averages - Comment. J. Hydrol. 173, 343–344.
  • Hesselberg, T. 1926. Die Gesetze der ausgeglichenen atmosphärischen Bewegungen. Beitr. Phys. fr. Atmosph. 12, 141-160 ( in German).
  • Hinze, J. O. 1975. Turbulence. McGraw-Hill, New York/Toronto/London, 586 pp.
  • Högstrom, U. 1990. Analysis of turbulence structure in the surface layer with a modified similarity formula-tion for near neutral conditions. J. Atmos. Sc i. 47, 1949–1972.
  • Holton, J. R. 1979. An Introduction to dynamic meteoro-logy. Academic Press, New York, San Francisco, London, 391 pp.
  • Jones, W. P. and Whitelaw, J. H. 1982. Calculation methods for reacting turbulent flows: a review. Com-bust. Flame 48, 1–26.
  • Kramm, G. 1987. Ein dynamisch-kinetisches Modell der atmosphärischen Grenzschicht zur Simulation von photochemischem Smog. IABG-Bericht B-TD 9004/01 (in German).
  • Kramm, G. 1991. Modellierung des Vertikaltransports von Aerosolpartikeln in der bodennahen Luftschicht. Meteorol. Rdsch. 43, 65-80 ( in German).
  • Kramm, G., Beheng, K.-D. and Muller, H. 1992. Vertical transport of polydispersed aerosol particles in the atmospheric surface layer. In: Schwartz, S. E. and Slinn, W. G. N. (eds.): Precipitation scavenging and atmosphere-surface exchange processes, vol. 2 The Semonin, vol. Hemisphere Publ., Washington/Philad-elphia/London, pp. 1125–1141.
  • Kramm, G., Dlugi, R. and Lenschow, D. H. 1995. A re-evaluation of the Webb-correction using density-weighted averages. J. Hydrol. 166, 283–292.
  • Kramm, G., Dlugi, R., Molders, N. and Muller, H. 1994. Numerical investigations of the dry deposition of reactive trace gases. In: Baldasano, J. M., Brebbia, C. A., Power, H. and Zannetti, P. (eds.): Air pollu-tion II, vol. 1: Computer simulation. Computational Mechanics Publications, Southampton, Boston, pp. 285-307.
  • Kramm, G., Herbert, F., Bernhardt, K., Muller, H., Werle, P., Foken, T. and Richter, S. H. 1996. Stability functions for momentum, heat and water vapour and the vertical transport of TKE and pressure fluctu-ations estimated from measured vertical profiles of wind speed, temperature, and humidity. Beitr. Phys. Atmosph. 69, 463–475.
  • Kramm, G., Beier, N., Dlugi, R. and Muller, H. 1999. Evaluation of conditional sampling methods. Beitr. Phys. Atmosph. 72, 161–172.
  • Lenschow, D. H., 1982. Reactive trace species in the boundary layer from a micrometeorological perspect-ive. J. Meteor. Soc. Japan 60, 472–480.
  • Libby, P. A. and Williams, F. A. (eds.): 1980. Turbulent reacting flows. Springer-Verlag, Berlin.
  • Lorenz, E. N. 1967. The nature and theory of the general circulation of the atmosphere. World Meteorological Organization, WMO-No. 218.Tp.115, Geneva, Switz-erland, 161 pp.
  • Lumley, J. L. and Panofsky, H. A. 1964. The structure of atmospheric turbulence. Interscience Publishers (Wiley & Sons), New York/London/Sydney, 239 pp.
  • McBean, G. A. and Elliott, J. A. 1975. The vertical trans-port of kinetic energy by turbulence and pressure in the boundary layer. J. Atmos. Sc i. 32, 753–766.
  • McRae, G. J., Goodin, W. R. and Seinfeld, J. H. 1982. Mathematical modeling of photochemical air pollu-tion. Environmental Quality Laboratory Report Nr. 18. California Institute of Technology, Pasadena, CA. Miller, J. E. 1951. Energy equations. Compendium of Meteorology. Amer. Meteor. Soc., 483-491.
  • Molders, N., Hass, H., Jakobs, H. J., Laube, M. and Ebel, A. 1994. Some effects of different cloud para-meterizations in a mesoscale model and a chemistry transport model. J. Appl. Met. 33, 527–545.
  • Montgomery, R. B. 1948. Vertical eddy flux of heat in the atmosphere. J. Meteorol. 5, 265–274.
  • Montgomery, R. B. 1954. Convection of heat. Archiv Meteorol. Geophys. Biokl. A7, 125–132.
  • Moss, J. B. 1995. Turbulent diffusion flames. In: Cox, G. (ed.): Combustion fundamentals of fire. Academic Press, London, San Diego, New York, pp. 221–272.
  • Nestlen, M., Muller, H. and Meixner, F. 1993. Measure-ments of vertical fluxes of CO, H2O, NO, NO2 and 03 by eddy correlation: first results from the BIATEX/SANA Experiment “Eisdorf”, March 1991. In: Borell, P. M., et al. (eds.): Photo-oxidants: precursors and prod-ucts. SPB Academic Publishing by., The Hague, The Netherlands, pp. 727-731.
  • Nieuwstadt, F. T. M. and Meeder, J. P. 1997. Large-eddy simulation of air pollution dispersion: a review. In: Métais, O. and Ferziger, J. (eds.): New tools in turbulence modeling. Springer-Verlag, Berlin/Heidel-berg/New York, pp. 265–280.
  • Obukhov, A. M. 1954. Statisticeskoe opisanie nep-reryynych polej. Trudy Geofiz. Inst. AN SSSR 24 (151), 3-42 (in Russian; German translation in Goering, H. (ed.): Sammelband zur statistischen Theorie der Turbu-lenz. Akademie-Verlag, Berlin, 1958,1–42).
  • Pichler, H. 1984. Dynamic der Atmosphtire. Bibliogra-phisches Institut, Zurich, 456 pp. (in German).
  • Prigogine, I. 1947. Etude thermodynamique des phéno-meves irréversibles. Thesis, Dunod, Paris, and Desoer, Liége (in French).
  • Rotta, J. C. 1951. Statistische Theorie nichthomogener Turbulenz. Z. Physik 129, 547-572 ( in German).
  • Rotta, J. C. 1963. Bemerkungen zum EinfluB der Dichteschwankungen in turbulenten Grenzschichten bei kompressibler Stromung.Ing.-Arch. 32, 187-190 ( in German).
  • Rotta, J. C. 1972. Turbulente Strömungen. B.G. Teubner, Stuttgart, 267 pp. ( in German).
  • Schmidt, W. 1925. Der Massenaustausch in freier Luft und verwandte Erscheinungen. In: Probleme der kos-mischen Physik, Bd. 7. Grand, H., Hamburg (in German).
  • Schumann, U. 1989. Large-eddy simulation of turbulent diffusion with chemical reactions in the convective boundary layer. Atmos. Environ. 23, 1713–1727.
  • Scott, W. D. and Hobbs, P. V. 1967. The formation of sulfate in water droplets. J. Atmos. Sc i. 24, 54–57.
  • Sehmel, G. A. 1980. Particle and gas dry deposition: A review. Atmos. Environ. 14, 983–1011.
  • Seinfeld, J. H. 1986. Atmospheric chemistry and physics of air pollution. J. Wyley & Sons, New York/Chichester/Brisbane/Toronto/Singapore, 738 pp.
  • Sievers, U. 1984. The turbulent atmosphere and the inclusive system of model equations. Beitr. Phys. Atmosph. 57, 324–345.
  • Sorbjan, Z. 1989. Structure of the atmospheric boundary layer. Prentice Hall, Englewood Cliffs, NJ, 317 pp.
  • Stockwell, W. R. 1995. Effects of turbulence on gas-phase atmospheric chemistry: Calculation of the relationship between time scales for diffusion and chemical reac-tions. Meteorol. Atmos. Phys. 57, 159–171.
  • Stull, R. B. 1988. An introduction to boundary layer met-eorology. Kluwer Academic Publishers, Dordrecht, 666 pp.
  • Swinbank, W. C. 1951. The measurement of vertical transfer of heat and water vapor by eddies in the lower atmosphere. J. Meteor. 8, 135–145.
  • Szablewski, W. 1963. Zum EinfluB der Dichteschwan-kungen auf den turbulenten Austausch in kompres-siblen turbulenten Grenzschichten.Ing.-Arch. 32, 191-192 ( in German).
  • Tennekes, H. and Lumley, J. L. 1978. A first course in turbulence. MIT Press, Cambridge, Mass., 300 pp.
  • Thomson, D. 1995. The parameterization of the vertical dispersion of a scalar in the atmospheric boundary layer. Atmos. Environ. 29, 1343.
  • Thomson, D. 1998. Author’s reply. Atmos. Environ. 32, 258.
  • Van Dop, H. 1998. The parameterization of the vertical dispersion of a scalar in the atmospheric boundary layer. Atmos. Environ. 32, 257–258.
  • Van Mieghem, J. 1949. Les equations générales de la mécanique et de l’énergetique des milieux turbulents en vue des applications a la météorologie.Inst. R. Meteor. Belgique., Mem. XXXIV, 60 pp. ( in French).
  • Van Mieghem, J. 1951. Application of the thermodyn-amics of open systems to meteorology. Compendium of Meteorology. Amer. Meteor. Soc., 531-538.
  • Van Mieghem, J. 1973. Atmospheric energetics. Claren-don Press, Oxford, 306 pp.
  • Venkatram, A. 1993. The parameterization of the vertical dispersion of a scalar in the atmospheric boundary layer. Atmos. Environ. 27A, 1963–1966.
  • Venkatram, A. 1998. Response. Atmos. Environ. 32, 259.
  • Venkatram, A., Karamchandani, P. K. and Misra, P. K. 1988. Testing a comprehensive acid deposition model. Atmos. Environ. 22, 737–747.
  • Veynante, D. and Poinsot, T. 1997. Reynolds averaged and large eddy simulation modeling for turbulent com-bustion. In: Métais, 0. and Ferziger, J. (eds.): New tools in turbulence modeling. Springer-Verlag, Berlin/Heidelberg/New York, pp. 105–140.
  • Vild-Guerau de Arellano, J. and Duynkerke, P. G. 1993. Second-order closure study of the covariance between chemically reactive species in the surface layer. J. Atmos. Chem. 16, 145–155.
  • Vogel, B., Fiedler, F. and Vogel, H. 1995. Influence of topography and biogenic volatile organic compounds emission in the state of Baden-Wiirtemberg on ozone concentartions during episodes of high air temper-ature. J. Geophys. Res. 100, 22907–22928.
  • Webb, E. K., Pearman, G. I. and Leuning, R. 1980. Correction of flux measurements for density effects due to heat and water vapour transfer. Quart. J. R. Met. Soc. 106, 85–100.
  • Wilczak, J., Bedard Jr.,, A. J., Edson, J., Hare, J., Hojstrup J., and Mahrt, L. 1995. Pressure transport measured on a sea mast during the RASEX program. Presented at the 11th Symposium on Boundary Layers and Turbulence, Charlotte, NC, March 27-31,1995, 11-14.
  • Wyngaard, J. C. and Coté, O. R. 1971. The budget of turbulent kinetic energy and temperature variance in the atmospheric surface layer. J. Atmos. Sci. 28, 190–201.