Boundary-Layer Meteorology

, Volume 167, Issue 3, pp 349–369 | Cite as

Dispersion of a Passive Scalar Fluctuating Plume in a Turbulent Boundary Layer. Part III: Stochastic Modelling

  • Massimo Marro
  • Pietro Salizzoni
  • Lionel Soulhac
  • Massimo Cassiani
Research Article


We analyze the reliability of the Lagrangian stochastic micromixing method in predicting higher-order statistics of the passive scalar concentration induced by an elevated source (of varying diameter) placed in a turbulent boundary layer. To that purpose we analyze two different modelling approaches by testing their results against the wind-tunnel measurements discussed in Part I (Nironi et al., Boundary-Layer Meteorology, 2015, Vol. 156, 415–446). The first is a probability density function (PDF) micromixing model that simulates the effects of the molecular diffusivity on the concentration fluctuations by taking into account the background particles. The second is a new model, named VP\(\varGamma \), conceived in order to minimize the computational costs. This is based on the volumetric particle approach providing estimates of the first two concentration moments with no need for the simulation of the background particles. In this second approach, higher-order moments are computed based on the estimates of these two moments and under the assumption that the concentration PDF is a Gamma distribution. The comparisons concern the spatial distribution of the first four moments of the concentration and the evolution of the PDF along the plume centreline. The novelty of this work is twofold: (i) we perform a systematic comparison of the results of micro-mixing Lagrangian models against experiments providing profiles of the first four moments of the concentration within an inhomogeneous and anisotropic turbulent flow, and (ii) we show the reliability of the VP\(\varGamma \) model as an operational tool for the prediction of the PDF of the concentration.


Concentration statistics Fluctuating plume Gamma distribution Lagrangian stochastic model Micromixing modelling 



M. Cassiani was partly supported by the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme under grant agreement No 670462 (COMTESSA).


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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  • Massimo Marro
    • 1
  • Pietro Salizzoni
    • 1
  • Lionel Soulhac
    • 1
  • Massimo Cassiani
    • 2
  1. 1.Laboratoire de Mécanique des Fluides et d’Acoustique, CNRS UMR 5509, University of Lyon, Ecole Centrale de Lyon, INSA LyonUniversité Claude Bernard Lyon IEcullyFrance
  2. 2.NILU - Norwegian Institute for Air ResearchKjellerNorway

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