An optimization approach to kinetic model reduction for combustion chemistry

• Verfasst von: Lebiedz, Dirk [VerfasserIn]
• Verfasst von: Siehr, Jochen [VerfasserIn]
• Titel: An optimization approach to kinetic model reduction for combustion chemistry
• Verf.angabe: Dirk Lebiedz, Jochen Siehr
• E-Jahr: 2014
• Jahr: 23 February 2014
• Umfang: 18 S.
• Fussnoten: Gesehen am 20.08.2020
• Titel Quelle: Enthalten in: Flow, turbulence and combustion
• Ort Quelle: Dordrecht [u.a.] : Springer Science + Business Media B.V., 1947
• Jahr Quelle: 2014
• Band/Heft Quelle: 92(2014), 4, Seite 885-902
• ISSN Quelle: 1573-1987
• DOI: doi:10.1007/s10494-014-9532-x
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1727539680

Abstract

Model reduction methods are relevant when the computation time of a full convection-diffusion-reaction simulation based on detailed chemical reaction mechanisms is too large. In this article, we consider a model reduction approach based on optimization of trajectories and its applicability to realistic combustion models. As many model reduction methods, it identifies points on a slow invariant manifold based on time scale separation in the dynamics of the reaction system. The numerical approximation of points on the manifold is achieved by solving a semi-infinite optimization problem, where the dynamics enter the problem as constraints. The proof of existence of a solution for an arbitrarily chosen dimension of the reduced model (slow manifold) is extended to the case of realistic combustion models including thermochemistry by considering the properties of proper maps. The model reduction approach is finally applied to two models based on realistic reaction mechanisms: ozone decomposition as a small test case and syngas combustion as a test case including all features of a detailed combustion mechanism.