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An analytical solution of the advection-diffusion equation considering non-local turbulence closure

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Abstract

Atmospheric air pollution turbulent fluxes can be assumed to be proportional to the mean concentration gradient. This assumption, along with the equation of continuity, leads to the advection-diffusion equation. Moreover, large eddies are able to mix scalar quantities in a manner that is counter to the local gradient. We present a general solution of a two-dimension steady state advection-diffusion equation, considering non-local turbulence closure using the General Integral Laplace Transform Technique. We show some examples of applications of the new solution with different vertical diffusion parameterisations.

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Author notes

  1. T. Tirabassi

    Present address: ISAC-CNR, Via Gobetti, 101, 40129, Bologna, Italy

Authors and Affiliations

  1. Universidade Federal do Rio Grande do Sul - PROMEC, Porto Alegre, RS, Brazil

    D. Buske, M. T. Vilhena & D. M. Moreira

  2. Institute of mathematics, PPGMAP/UFRGS, Porto Alegre, RS, Brazil

    T. Tirabassi

Authors
  1. D. Buske
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  2. M. T. Vilhena
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  3. D. M. Moreira
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  4. T. Tirabassi
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Correspondence to T. Tirabassi.

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Buske, D., Vilhena, M.T., Moreira, D.M. et al. An analytical solution of the advection-diffusion equation considering non-local turbulence closure. Environ Fluid Mech 7, 43–54 (2007). https://doi.org/10.1007/s10652-006-9012-5

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  • DOI: https://doi.org/10.1007/s10652-006-9012-5

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