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
