Local and global parametric analysis of reacting flows

This paper presents a selected overview of current techniques available for analyzing parametric behavior of dynamical systems including reactive flows. The paper is based on a series of lectures presented at Cornell University, and the discussion is broadly divided into the realms of local and global techniques. Local procedures are capable of addressing a rich variety of questions associated with the behavior of dynamical systems near a chosen operating point in parameter space. On the other hand, global procedures are specifically designed to map out solution behavior over wide ranges of parameter space for both statistical analysis as well as objective function mapping. Techniques for accomplishing all of these tasks are in various stages of development and comments on current research directions are mentioned when appropriate.