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Hierarchy Analysis and Reduction of Reacting Flow Systems

Bykov, V.; Maas, Ulrich

The qualitative system analysis and model reduction for reacting flows has gained an increasing interest during the last years. Nowadays, simulations based on sophisticated algorithms implemented on powerful workstations turn out to be a prevailing tool of the system analysis. However, modelling of realistic systems of technical importance leads to an extreme growth of mathematical models both in complexity and in dimension, i.e. they become not treatable even by modern computational facilities. Recently, the concept of invariant, slow/fast -, attractive and stable manifolds, which appear in the system state space as a manifestation of a restricted number of degrees of freedom exhibiting by the system, has proven to be an efficient tool of system analysis and model reduction. In the current work questions about the specific low-dimensional manifolds’ identification, the analysis of their properties, their approximation and the application to model reduction of complex reacting flow systems is discussed.

Zugehörige Institution(en) am KIT Institut für Technische Thermodynamik (ITT)
Publikationstyp Proceedingsbeitrag
Jahr 2011
Sprache Englisch
Identifikator ISBN: 978-3-642-17770-5
KITopen ID: 1000024266
Erschienen in Computational Science and High Performance Computing IV. The 4th Russian-German Advanced Research Workshop, Freiburg, Germany, October 12 to 16, 2009. Ed.: E. Krause
Verlag Springer, Berlin
Seiten 233- 252
Serie Notes on Numerical Fluid Mechanics and Multidisciplinary Design ; 115
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