Manifold-based reduction of large kinetic mechanisms

The paper outlines our recent progress in the model reduction of systems governing reacting flows by so-called manifold methods. The main theoretical concept of the approach is the decomposition into relatively fast and slow processes. This allows the application of the geometrical framework of slow and fast invariant manifolds that can be used to simplify mathematical models of reacting flows significantly. The so-called Reaction-Diffusion Manifolds (REDIMs) and Global-Quasi Linearization (GQL) approaches are in the focus of the work. The methods permit to include the coupling of the transport and reaction processes into the reduced model and to approximate the fast system dynamics.