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Two Methods for the Numerical Modelling of the PM Transport and Deposition on the Vegetation

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Numerical Mathematics and Advanced Applications ENUMATH 2017 (ENUMATH 2017)

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Abstract

Two different methods for the simulation of particulate matter (PM) transport, dispersion and sedimentation on the vegetation are presented. A common sectional model based on a transport equation for each PM size fraction is compared to the innovative model known as moment method. It is based on solving of three transport equations for the moments of the whole PM distribution. Both methods are tested in 2D on a tree patch and in 3D on a hedgerow.

The background flow field in the Atmospheric Boundary Layer (ABL) used for both methods is computed by solver based on RANS equations for viscous incompressible flow with stratification due to gravity. The two equations k − 𝜖 turbulence model is used. Three effects of the vegetation are considered: slowdown or deflection of the flow, influence on the turbulence levels inside or near the vegetation and filtering of the particles present in the flow.

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Acknowledgements

This work was supported by the grant SGS16/206/OHK2/3T/12 of the Czech Technical University in Prague. The authors are thankful for cooperation with Viktor Šíp.

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Correspondence to Hynek Řezníček .

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Beneš, L., Řezníček, H. (2019). Two Methods for the Numerical Modelling of the PM Transport and Deposition on the Vegetation. In: Radu, F., Kumar, K., Berre, I., Nordbotten, J., Pop, I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-96415-7_81

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