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