Boundary-Layer Meteorology

, Volume 152, Issue 1, pp 1–18 | Cite as

A Velocity–Dissipation Lagrangian Stochastic Model for Turbulent Dispersion in Atmospheric Boundary-Layer and Canopy Flows

  • Tomer Duman
  • Gabriel G. Katul
  • Mario B. Siqueira
  • Massimo Cassiani


An extended Lagrangian stochastic dispersion model that includes time variations of the turbulent kinetic energy dissipation rate is proposed. The instantaneous dissipation rate is described by a log-normal distribution to account for rare and intense bursts of dissipation occurring over short durations. This behaviour of the instantaneous dissipation rate is consistent with field measurements inside a pine forest and with published dissipation rate measurements in the atmospheric surface layer. The extended model is also shown to satisfy the well-mixed condition even for the highly inhomogeneous case of canopy flow. Application of this model to atmospheric boundary-layer and canopy flows reveals two types of motion that cannot be predicted by conventional dispersion models: a strong sweeping motion of particles towards the ground, and strong intermittent ejections of particles from the surface or canopy layer, which allows these particles to escape low-velocity regions to a high-velocity zone in the free air above. This ejective phenomenon increases the probability of marked fluid particles to reach far regions, creating a heavy tail in the mean concentration far from the scalar source.


Canopy Dispersion Dissipation Lagrangian stochastic model 



This work was supported by Research Grant Award No. IS-4374-11C from BARD, the United States—Israel Binational Agricultural Research and Development Fund.


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Tomer Duman
    • 1
  • Gabriel G. Katul
    • 2
  • Mario B. Siqueira
    • 3
  • Massimo Cassiani
    • 4
  1. 1.Nicholas School of the EnvironmentDuke UniversityDurhamUSA
  2. 2.Department of Civil and Environmental Engineering, Nicholas School of the EnvironmentDuke UniversityDurhamUSA
  3. 3.Department of Mechanical EngineeringUniversidade de BrasíliaBrasíliaBrazil
  4. 4.The Norwegian Institute for Air Research (NILU)OsloNorway

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