#
Reduced Chemistry Modeling and Sensitivity Analysis

S. H. Lam
##
Abstract

This is a tutorial on reduced chemistry modeling and sensitivity analysis
using **computational singular perturbation**, or CSP. After briefly
presenting the underlying mathematics, the exposition focuses on how to
use CSP data to neglect the non-participating elementary reactions in the
reaction database, to trim the number of relevant reactants, and how to
identify the so-called ``CSP radicals'' and the rate-controlling elementary
reactions. An example is worked out using both the conventional methods
and CSP. A succinct summary of sensitivity analysis is also given, showing
in particular that the linearization assumption does not necessarily require
the percentage perturbation of rate parameters to be small. It is also
shown that most interesting sensitivity questions can be straightforwardly
answered by interrogating the CSP data.

Presented at *Aerothermochemistry for Hypersonic Technology* 1994-1995
Lecture Series Programme, Von Karman Institute of Fluid Dynamics, April
24-28, 1995.
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