On a decomposition of motions and model reduction

Abstract

In this work a concept of Singularly Perturbed Vector Fields (SPVF) (proposed in previous authors' papers) is further applied to practical problem of developing a robust numerical tool for model reduction. The paper is focused on the construction of an algorithm which allows a linear transformation of dimensional combustion models (written as systems of ODEs) to an explicitly decomposed form that can be treated by the standard theory of Singular Perturbed Systems (SPS), which allows the reduction of a system dimension by the standard decomposition to fast and slow subsystems and by using slow the invariant (integral) manifolds' concept. As a result, the algorithm can essentially simplify numerical aspects of simulation of complex processes taking place in reacting flows. © 2008 IOP Publishing Ltd.