WIAS Preprint No. 535, (1999)

Stochastic Lagrangian Models for Turbulent Dispersion in Atmospheric Boundary Layer


  • Kurbanmuradov, Orazgeldy
  • Sabelfeld, Karl

2010 Mathematics Subject Classification

  • 65C05 76N20


  • Horizontally homogeneous turbulence, Lagrangian stochastic models, well-mixed condition, consistency principle, uniqueness problem, neutrally stratified surface layer.




A one-particle 3D stochastic Lagrangian model in for transport of particles in horizontally-homogeneous atmospheric surface laeyr with arbitrary one-point probability density function of Eulerian velocity uctuations is suggested. A uniquely defined Lagrangian stochastic model in the class of well-mixed models is constructed from physically plausible assumptions: (i) in the neutrally stratified horizontally homogeneous surface layer, the vertical motion is mainly controlled by eddies whose size is of order of the current height; and (ii), the streamwise drift term is independent of the crosswind velocity. Numerical simulations for neutral stratification have shown a good agreement of our model with the well known Thomson's model, with Flesch & Wilson's model, and with experimental measurements as well. However there is a discrepancy of these results with the results obtained by Reynolds' model.

Appeared in

  • Math. Comput. Simulation, 54 (2001) pp. 459--476.

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