Box models versus Eulerian models in air pollution modeling |
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| Institution: | 1. Department of Biology, University of New Mexico, Albuquerque, NM, USA;2. Department of Soil and Water Sciences, Hebrew University of Jerusalem, Rehovot, Israel;3. Civil and Environmental Engineering, Technion, Haifa, Israel;1. Department of Mathematics, University of Oslo, Norway;2. Department of Physics, University of Oslo, Norway;3. Department of Geosciences, University of Oslo, Norway;1. College of Environment and Energy, South China University of Technology, University Town, Guangzhou 510006, PR China;2. College of Environment and Climate Research, Jinan University, Guangzhou 510000, PR China;1. Uji, Kyoto, Japan;2. Dipartimento di Scienze, della Terra ‘Ardito Desio’, Università di Milano, Milano, Italy;1. Institute of Environment and Sustainable Development, Banaras Hindu University, Varanasi, India;2. Physics and Dynamics of Tropical Cloud Group, Indian Institute of Tropical Meteorology, Pune, India |
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| Abstract: | Box models are widely used in air pollution modeling. They allow the use of simple computational tools instead of the simulation of 3D Eulerian grid models, given by a large set of partial differential equations. We investigate here the theoretical justification of such box models. The key point is the comparison with the underlying Eulerian model describing the dispersion of pollutants in the atmosphere. We restrict the study to a vertical monodimensional case for more clarity. The main result is that the nonlinearity of the chemical kinetics, which is a characteristic feature of chemistry, induces the loss of accuracy. |
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