German Title: Adaptive Finite-Elemente Berechnung chemischer Strömungsreaktoren

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Translation of abstract (English)

The main interest in the simulation of flow reactors is the comprehension of the complex interplay between flow, mixing processes and reaction processes. To describe the chemical and physical processes taking place in reactive flows, many chemical species are to be considered with often a few hundred elementary reactions. Thus the system of equations modelling the reactive flow usually contains between 10 and 50 equations and is highly non-linear. We develop in this work a new method for the simulation of flow reactors that allows to efficiently control the accuracy of the calculation according to some physical quantity of interest. This method is derived from recent techniques for adaptive mesh refinement that allows to reduce numerical effort and nevertheless achieving good or even better accuracy in the data that may be of interest compared to a straightforward tensor product approach.