Reduction of Detailed Chemical Reaction Networks for Detonation

Abstract

While a detailed mechanism represents the state-of-the-art of what is known about a reaction network, its direct implementation in a fully resolved CFD simulation is all but impossible (except for the simplest systems) with the computational power available today. This paper discusses the concept of Intrinsic Low Dimensional Manifold (ILDM), a technique that systematically reduces the complexity of detailed mechanisms. The method, originally devel-oped for combustion systems, has been successfully extended and applied to gaseous detonation simulations 2,3,4 . Unfortunately, while a one-dimensional ILDM is reasonably easy to compute, manifolds of higher dimensions are notoriously difficult. Moreover, the selec-tion of the manifold dimension has been largely arbitrary, with a one-dimensional ILDM being the most popular if for no other rea-son than that it is easiest to compute and store. In this paper, we will present a technique that enables us to quanti-tatively determine the dimensionality of the ILDM needed, as well as a robust and embarrassingly parallel algorithm for computing high-dimensional ILDMs. Finally, these techniques are demon-strated in the context of a one-dimensional ZND detonation with detailed chemistry.

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