A fast and efficient modified sectional method for simulating multicomponent collisional kinetics |
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| Institution: | 1. Department of Air Chemistry, Max Planck Institute for Chemistry, P.O. Box 3060, D55020 Mainz, Germany;2. Institute for Atmospheric Physics, Johannes Gutenberg University Mainz, D55099 Mainz, Germany;1. Université de Toulouse, INPT, UPS, Institut de Mécanique des Fluides de Toulouse, Allée Camille Soula, FR-31400 Toulouse, France;2. CNRS, IMFT, FR-31400 Toulouse, France;3. ONERA, DMAE, 2 avenue Edouard Belin, FR-31055 Toulouse, France;1. Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science and Technology, Nanjing 210044, China;2. Key Laboratory for Aerosol-Cloud-Precipitation of China Meteorological Administration, Nanjing University of Information Science and Technology, Nanjing 210044, China;1. College of Traffic and Vehicle Engineering, Shandong University of Technology, Zhangzhou Road 12, Zibo 255049, China;2. College of Mechanical Engineering, Shandong University of Technology, Zhangzhou Road 12, Zibo 255049, China;1. Research & Development (hydrology), Swedish Meteorological and Hydrological Institute, 601 76 Norrköping, Sweden;2. Research & Development (meteorology), Swedish Meteorological and Hydrological Institute, 601 76 Norrköping, Sweden |
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| Abstract: | A fast and efficient method for simulating the evolution of internally mixed multicomponent particle size distributions for aerosol coagulation and droplet coalescence is developed. The technique is based upon a bin-wise sectionalization of the particle mass domain and by imposing the condition of mass conservation for each component. The distribution of each species as a function of the total particle mass is represented in each mass bin as a two-parameter exponential function. Particles of a given mass are assumed to be internally homogeneously mixed. The method is shown to be numerically stable for a wide range of time steps. The numerical solution is compared with both analytical results and results from other well-accepted numerical schemes. This comparison reveals that the proposed technique offers the advantage of being fast and accurate, even for coarse spectral resolution. The method is computationally attractive and easily allows the treatment of ten or more different chemical species in a collisionally evolving particle size distribution. The applicability of the method is demonstrated with several examples: Coalescence growth of multicomponent cloud droplet spectra, coagulation of measured multi-species aerosol particle size distributions, and the simulation of the accumulation mode due to a source of small aerosol particles. The technique is ideally suited for modelling the interaction of microphysics and chemistry in a size-bin resolving aerosol or cloud model. |
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