Abstract
In this paper, we will focus on three essentially important issues considering the modeling of multi-phase flow in heterogeneous porous media. Depending on the governing processes, the multi-phase flow equation system can show either predominant advection or diffusion/dispersion. Numerical methods have to be able to capture both cases. Furthermore, realistic porous media are always heterogeneous. The physically correct description of the interfacial behaviour is numerically very challenging, as discontinuities in primary variables may occur. In this paper, we review these issues and present the box scheme, a control volume finite element method, including an interface condition as one numerical method capable of tackling the three problems. In the end, we will give the results of a 3D simulation.
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