In the first chapter of this work the fundamental dynamical properties of reacting flows and in particular combustion proceses are presented.
The mathematical formulation and the basic ideas of the ILDM method are presented in the second chapter. The ILDM-approach uses the fact that in typical reaction systems a large number of chemical processes are so fast that they are not rate limiting and can be decoupled. All the method does is to identify intrinsic low-dimensional manifolds in the state space with the property that after a short relaxation time the thermochemical state of the system has relaxed onto these attracting low-dimensional manifolds. The numerical procedure for the identification of the ILDMs is described. It is based on a multidimensional pathfollowing method. The results, i.e. the reduced mechanisms, can be tabulated for subsequent use in CFD-codes.
The third chapter focuses on the combustion of higher hydrocarbons. The typical behaviour of the kinetic of higher hydrocarbons is investigated. The most important result is the hierarchical structur of the reaction mechanisms winch is reflected in the structure of the ELDM.
The implementation of the ILDMs in CFD-codes is presented in the fourth chapter. Two methods are shown, namely the use of tabulated ILDMs using generalized coordinates and secondly, the use of an easy lookup table.
The interaction of chemical and physical processes is investigated in the fifth chapter. The submodels and the coupling of them is presented in a general context first. Then the special cases of laminar and turbulent reactive flows are treated in the last two chapters.