High-order Finite Volume Methods For Non-linear Aerosol Dynamic Equations

In this paper we focuses a high-order finite volume method for non-linear aerosol dynamic equations. This paper consists of three parts, which are inde-pendent and correlative.In chapter1, there are some preliminary knowledge about atmospheric aerosol and aerosol dynamic equation. First, we introduce the conception and three size groups (nuclei mode, accumulation mode and coarse mode) of aerosols. Four size regions:the free-molecule region, the transition region, the near-continuum region and the continuum region are also given. Next, the necessity and importance of studying the aerosol dynamic equation and some numerical methods which had been studied to solve the equation are presented.In chapter2. we mainly talk about the model of using the finite volume method to solve aerosol dynamic equation. In section2.1. we introduce the aerosol dynamic equation when only condensation growth rate, coagulation process and removal of the particles are taken into account. Hence, the aerosol dynamic equation considered in this paper has the form: also, every progress and the parameters are described. In Section2.2, after introducing the elementary knowledge of the finite volume method, we presents the derivation processes of solving aerosol dynamic equations by first-order and third-order finite volume method.Numerical experiments are given in Chapter3. Example1-3are the com-parisons of errors and ratios of two finite volume method in solving aerosol dynamic equations. In example4, we discuss the influence of the raindrop size distribution upon the scavenged aerosol distribution in wet removal process and only fine particles are considered. Example5simulates the distribution of accumulation mode particles by Brownian coagulation process with different-initial number concentration in the coarse mode. Example6shows the influ-ences of every process on the aerosol particles size distribution.