Transport and Chemical Reaction: Characteristics Method and Splitting Methods

In this paper we present computational schemes for solving transport and chemical reaction processes. The model is based on a convection-diffusion-reaction equation which models our fluid dynamics of the depo-sition process. For the spatial discretization we combine characteristics methods for the advection equations and use finite volume methods for the diffusion equation. The reaction parts are solved analytically and the solutions are embedded into the spatial discretized advection parts. We present decomposition methods in time to couple the different scales of the multi-component transport equations. The different time-scales are coupled by transfer-operators and we discuss a multi-scale solver. In the numerical experiments we present a microscopic model for partical trans-port. The accuracy of the methods are discussed