DFG-SPP1506.DE

In multiphase flow systems there are several physico-chemical processes that determine the systems' behaviour, e.g., the fluid dynamics in the different fluids and the dynamics of the interfaces, heat and masstransport between the fluids, adsorption effects at the interface and transport of species on the interface, variable interface properties, phase changes. In general these processes are strongly coupled and properties of the interface play a crucial role. A rigorous understanding of the behaviour of such very complex flow problems must be based on physically sound mathematical models accounting especially for local processes at the interface... The aim of this Priority Programme is to further develop and expand such models, to analyze their mathematical properties and to develop and advance numerical methods for the rigorous simulation of these models. The realization of this requires interdisciplinary research with expertise from Applied Analysis, Numerical Mathematics,..