Method of invariant manifold for chemical kinetics
Method of invariant manifold for chemical kinetics
In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). The MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A review of existing alternative methods is extended by a thermodynamically consistent version of the method of intrinsic low-dimensional manifolds. A grid-based version of the MIM is developed, and model extensions of low-dimensional dynamics are described. Generalizations to open systems are suggested. The set of methods covered makes it possible to effectively reduce description in chemical kinetics
4751-4768
Gorban, A.N.
3b4ae629-6486-47c8-9d6c-6d89a9985dd5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
November 2003
Gorban, A.N.
3b4ae629-6486-47c8-9d6c-6d89a9985dd5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Gorban, A.N. and Karlin, I.V.
(2003)
Method of invariant manifold for chemical kinetics.
Chemical Engineering Science, 58 (21), .
(doi:10.1016/j.ces.2002.12.001).
Abstract
In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). The MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A review of existing alternative methods is extended by a thermodynamically consistent version of the method of intrinsic low-dimensional manifolds. A grid-based version of the MIM is developed, and model extensions of low-dimensional dynamics are described. Generalizations to open systems are suggested. The set of methods covered makes it possible to effectively reduce description in chemical kinetics
This record has no associated files available for download.
More information
Published date: November 2003
Identifiers
Local EPrints ID: 49190
URI: http://eprints.soton.ac.uk/id/eprint/49190
ISSN: 0009-2509
PURE UUID: 249ba4a9-e889-49b4-a66e-d178506fd712
Catalogue record
Date deposited: 24 Oct 2007
Last modified: 15 Mar 2024 09:53
Export record
Altmetrics
Contributors
Author:
A.N. Gorban
Author:
I.V. Karlin
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics