Abstract
Among well-mixed multi-dimensional Lagrangian stochastic (LS) dispersion models, we observe that those in poorest agreement with observations produce ‘spiralling trajectories,’ with an associated reduction in dispersion. We therefore investigate statistics of increments dθ ' to the orientation θ'= arctan(W'/U') of the Lagrangian velocity-fluctuation vector – as a possible means to distinguish the better LS models within the well-mixed class. ‘Zero-spin’ models, having 〈 dθ'〉 = 0, are found to provide best agreement with observations. It is not clear however, whether imposition of the zero-spin property selects (in conjunction with the well-mixed condition) a unique model.
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References
Borgas, M. S., Flesch, T. K., and Sawford, B.L.: 1997, ‘Turbulent Dispersion with Broken Reflectional Symmetry’, J. Fluid Mech. 332, 141–156.
Flesch, T. K. and Wilson, J. D.: 1992, ‘A Two-Dimensional Trajectory-Simulation Model for Non-Gaussian, Inhomogeneous Turbulence within Plant Canopies’, Boundary-Layer Meteorol. 61, 349–374.
Gardiner, C. W.: 1983, Handbook of Stochastic Methods, Springer-Verlag. ISBN 3-540-11357-6.
Gillespie, D. T.: 1996, ‘The Mathematics of Brownian Motion and Johnson Noise’, Amer. J. Phys. 64, 225–240.
Legg, B. J., Raupach, M. R., and Coppin, P. A.: 1986, ‘Experiments on Scalar Dispersion within a Model Plant Canopy, Part III: An Elevated Line Source’, Boundary-Layer Meteorol. 35, 277–302.
Monti, P. and Leuzzi, G.: 1996, ‘A Closure to Derive a Three-Dimensional Well-Mixed Trajectory Model for Non-Gaussian, Inhomogeneous Turbulence’, Boundary-Layer Meteorol. 80, 311–331.
Rodean, H. C.: 1996, Stochastic Lagrangian Models of Turbulent Diffusion. Amer. Meteorol. Soc. Monograph.
Sawford, B. L. and Guest, F. M.: 1988, ‘Uniqueness and Universality of Lagrangian Stochastic Models of Turbulent Dispersion’, in Preprints of 8th Symp. Turb. Diff., AMS, San Diego, CA, pp. 96–99.
Thomson, D. J.: 1987, ‘Criteria for the Selection of Stochastic Models of Particle Trajectories in Turbulent Flows’, J. Fluid Mech. 180, 529–556.
Wilson, J. D. and Sawford, B. L.: 1996, ‘Review of Lagrangian Stochastic Models for Trajectories in the Turbulent Atmosphere’, Boundary-Layer Meteorol. 78, 191–210.
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Wilson, J.D., Flesch, T.K. Trajectory Curvature As A Selection Criterion For valid Lagrangian Stochastic Dispersion Models. Boundary-Layer Meteorology 84, 411–425 (1997). https://doi.org/10.1023/A:1000474206967
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DOI: https://doi.org/10.1023/A:1000474206967