Abstract
In this paper, we present a well-mixed Lagrangian stochasticmodel for vertical dispersion, that can accommodate a Eulerianprobability density function of vertical velocity derived from themaximum missing information (or maximum entropy) principle. Withthis model, we study the effects of skewness (S) and kurtosis (K) ofvertical velocity on the spacial distribution of the mean concentrationdue to sources in the convective boundary layer. Model calculationsshow that the maximum ground-level concentration increases withincreasing S and decreasing K, but the downstream distance to thelocation of the maximum ground-level concentration is ratherinsensitive to S and K. Some earlier predictions of vertical dispersionfor short travel time are examined.
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Baerentsen, J. H. and Berkowicz, R.: 1984, ‘Monte Carlo Simulation of Plume Dispersion the Convective Boundary Layer’, Atmos. Environ. 18, 701–712.
Briggs, G. A.: 1985, ‘Analytical Parameterizations of Diffusion: The Convective Boundary Layer’, J. Appl. Meteorol. 24, 1167–1186.
Briggs, G. A.: 1993, ‘Plume Dispersion in the Convective Boundary Layer. Part II: Analysis of CONDORS Field Experiment Data’, J. Appl. Meteorol. 32, 1388–1425.
Caughey, S. J. and Palmer, S. G.: 1979, ‘Some Aspects of Turbulence Structure Through the Depth of the Convective Boundary Layer’, Quart. J. Roy. Meteorol. Soc. 105, 811–827.
Deardorff, J.W. and Willis, G.E.: 1974, ‘Computer andLaboratoryModelling of theVertical Diffusion of Nonbuoyant Particles in the Mixed Layer’, Advances in Geophysics 18B, H.E. Landsberg and J. van Mieghem (eds.), Academic Press, 187–200.
Du, S., Wilson, J. D., and Yee, E.: 1994, ‘Probability Density Function for Velocity in the Convective Boundary Layer and Implied Trajectory Models’, Atmos. Environ. 28, 1211–1217.
Du, S., Sawford, B. L., Wilson, J. D., and Wilson, D. J.: 1995, ‘Estimation of the Kolmogorov Constant (C 0) for the Lagrangian Structure Function, Using a Second-Order Lagrangian Model of Grid Turbulence’, Physics of Fluids 7, 3083–3090.
Hunt, J. C. R.: 1985, ‘Turbulent Diffusion from Sources in Complex Flows’, Ann. Rev. Fluid Mech. 17, 447–485.
Hunt, J. C. R., Kaimal, J. C., and Gaynor, J. E.: 1988, ‘Eddy Structure in the Convective Boundary Layer-New Measurements and New Concepts', Quart. J. Roy. Meteorol. Soc. 114, 827–858.
Lamb, R. G.: 1982, ‘Diffusion in the Convective Boundary Layer’, in F. T. M. Nieuwstadt and H. van Dop (eds.), Atmospheric Turbulence and Air Pollution Modelling, Reidel, 159–229.
LeMone, M. A.: 1990, ‘Some Observations of Vertical Velocity Skewness in the Convective Planetary Boundary Layer’, J. Atmos. Sci. 47, 1163–1169.
Lenschow, D. H., Wyngaard, J. C., and Pennel, W. T.: 1980, ‘Mean-Field and Second-Moment Budgets in a Baroclinic Convective Boundary Layer’, J. Atmos. Sci. 37, 1313–1326.
Lenschow, D. H., Mann, J., and Kristensen, L.: 1994, ‘How Long is Long Enough when Measuring Fluxed and Other Turbulence Statistics?’, J. Atmos. Oceanic Tech. 11, 661–673.
Luhar, A. K. and Britter, R. E.: 1989, ‘A Random Walk Model for Dispersion in Inhomogenous Turbulence in a Convective Boundary Layer’, Atmos. Environ. 23, 1911–1924.
Lumley, J. L. and Panofsky, H. A.: 1964, The Structure of Atmospheric Turbulence, John Wiley & Sons, 239 pp.
Monin, A. S. and Yaglom, A. M.: 1975, Statistical Fluid Mechanics, Vol. 2, MIT Press.
Nieuwstadt, F. T. M.: 1980, ‘Applications of Mixed-Layer Similarity to the Observed Dispersion from a Ground-Level Source’, J. Appl. Meteorol. 19, 157–162.
Raupach, M. R.: 1989, ‘A Practical Lagrangian Method for Relating Scalar Concentrations to Source Distributions in Vegetation Canopies’, Quart. J. Roy. Meteorol. Soc. 115, 609–632.
Sawford, B. L. and Guest, F. M.: 1987, ‘Lagrangian Stochastic Analysis of Flux-Gradient Relationships in the Convective Boundary Layer’,J. Atmos. Sci. 44, 1152–1165.
Sorbjan, Z.: 1991, ‘Evaluation of Local Similarity Functions in the Convective Boundary Layer’, J. Appl. Meteorol. 30, 1565–1583.
Thomson, D. J.: 1984, ‘RandomWalk Modelling of Diffusion in Inhomogeneous Turbulence’, Quart. J. Roy. Meteorol. Soc . 110, 1107–1120.
Thomson, D. J.: 1987, ‘Criteria for the Selection of Stochastic Models of Particle Trajectories in Turbulent Flows’, J. Fluid Mech. 180, 529–556.
van Dop, H., Nieuwstadt, F. T. M., and Hunt, J. C. R.: 1985, ‘Random Walk Models for Particle Displacements in Inhomogeneous Unsteady Turbulent Flows’, Phys. Fluids 28, 1639–1653.
Willis, G. E. and Deardorff, J. W.: 1974, ‘A Laboratory Model of the Unstable Planetary Boundary Layer’, J. Atmos. Sci. 31, 1297–1307.
Willis, G. E. and Deardorff, J. W.: 1981, ‘A Laboratory Study of Dispersion from a Source in the Middle of the Convective Boundary Layer’, Atmos. Environ. 15, 109–117.
Wilson, J. D. and Flesch, T.: 1993, ‘Flow Boundaries in Random-Flight Dispersion Models: Enforcing the Will-Mixed Condition’, J. Appl. Meteorol. 32, 1695–1707.
Wilson, J. D., Legg, B. J., and Thomson, D. J.: 1983, ‘Calculation of Particle Trajectories in the Presence of a Gradient in Turbulent-Velocity Variance’, Boundary-layer Meteorol. 27, 163–169.
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DU, S. THE EFFECTS OF HIGHER EULERIAN VELOCITY MOMENTS ON THE MEAN CONCENTRATION DISTRIBUTION. Boundary-Layer Meteorology 82, 317–341 (1997). https://doi.org/10.1023/A:1000285315013
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DOI: https://doi.org/10.1023/A:1000285315013