Numerical model for bioaerosol transformation in the atmosphere
A.V. Penenko1,2, A.A. Sorokovoy1,2, K.E. Sorokovaya1,2
1Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Branch of the RAS, 6, Ac. Lavrentieva ave., 630090, Novosibirsk, Russia
2Novosibirsk State University, 2, Pirogova Str., Novosibirsk, 630090, Russia
Keywords: математическое моделирование, аэрозольные популяции, трансформация примесей, коагуляция, интегро-дифференциальные уравнения, mathematical modeling, aerosol populations, impurities transformation, coagulation, integral-differential equations
Abstract
Non-stationary mathematical model of bioaerosol dynamics is considered. It is based on nonlinear integral-differential equations describing coagulation, condensation, and evaporation processes. Unconditionally positive numerical schemes for transformation problem is presented. The algorithm is based on discrete analytical approximations using fundamental solutions of local ajoint problems. The model was numerically compared with the models describing individual mechanisms in its composition. The relative contribution of each mechanism in the overall dynamics of aerosol populations is investigated based on numerical experiments.
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