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A Simple Parametrization for the Concentration Variance Dissipation in a Lagrangian Single-Particle Model

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Abstract

A model for the evaluation of the concentration fluctuation variance is coupled with a one-particle Lagrangian stochastic model and results compared to a wind-tunnel simulation experiment. In this model the concentration variance evolves along the particle trajectories according to the same Langevin equation used for the simulation of the velocity field, and its dissipation is taken into account through a decay term with a finite time scale. Indeed, while the mean concentration is conserved, the concentration variance is not and our model takes into account its dissipation. A simple parametrization for the dissipation time scale is proposed and it is found that it depends linearly on time and on the ratio between the size and the height of the source through a scaling factor of 1 / 3.

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Acknowledgements

We acknowledge the CINECA award under the ISCRA initiative, for the availability of high performance computing resources and support. HPCEFM16—High Performance Computing for Environmental Fluid Mechanics 2016 (Italian National HPC Research Project); instrumental funding based on competitive calls (ISCRA-C project at CINECA, Italy); 2016; Amicarelli A. (P.I.), G. Agate, G. Curci, S. Falasca, E. Ferrero, A. Bisignano, G. Leuzzi, P. Monti, F. Catalano, S. Sibilla, E. Persi, G. Petaccia.

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Authors and Affiliations

  1. DISIT, Università del Piemonte Orientale, viale Teresa Michel, 11, Alessandria, Italy

    Enrico Ferrero

  2. Istituto di Scienze dell’Atmosfera e del Clima (ISAC), CNR, Corso Fiume, 4, Torino, Italy

    Luca Mortarini

  3. Dipartimento di Fisica, Università di Torino, via Giuria, 1, Torino, Italy

    Federico Purghè

Authors
  1. Enrico Ferrero
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  2. Luca Mortarini
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  3. Federico Purghè
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Correspondence to Enrico Ferrero.

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Ferrero, E., Mortarini, L. & Purghè, F. A Simple Parametrization for the Concentration Variance Dissipation in a Lagrangian Single-Particle Model. Boundary-Layer Meteorol 163, 91–101 (2017). https://doi.org/10.1007/s10546-016-0218-x

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  • DOI: https://doi.org/10.1007/s10546-016-0218-x

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