Enabling stability analysis of tubular reactor models using PDE/PDAE integrators

Koronaki, ED; Boudouvis, AG; Kevrekidis, IG

dc.contributor.author	Koronaki, ED	en
dc.contributor.author	Boudouvis, AG	en
dc.contributor.author	Kevrekidis, IG	en
dc.date.accessioned	2014-03-01T01:18:56Z
dc.date.available	2014-03-01T01:18:56Z
dc.date.issued	2003	en
dc.identifier.issn	0098-1354	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15271
dc.subject	Recursive projection method	en
dc.subject	Stability analysis	en
dc.subject	Timesteppers	en
dc.subject	Tubular reactor	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Chemical	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Chemical reactions	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Process control	en
dc.subject.other	Stability	en
dc.subject.other	Tubular reactors	en
dc.subject.other	Chemical reactors	en
dc.subject.other	stability	en
dc.subject.other	article	en
dc.subject.other	calculation	en
dc.subject.other	computer simulation	en
dc.subject.other	mathematical analysis	en
dc.subject.other	mathematical model	en
dc.subject.other	performance	en
dc.subject.other	tubular reactor	en
dc.title	Enabling stability analysis of tubular reactor models using PDE/PDAE integrators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0098-1354(03)00004-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0098-1354(03)00004-8	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	We discuss the construction of computational superstructures enabling time-dependent process simulation codes to perform stability, continuation and bifurcation calculations - tasks in principle not accessible to them - directly. The basis of the approach is the so-called Recursive Projection Method of Shroff and Keller (SIAM Journal of Numerical Analysis 31). We discuss its implementation and performance for the detection of different types of bifurcations (with emphasis on Hopf bifurcations) as well as slight modifications appropriate for index 1 partial differential/algebraic equations (PDAE) simulators. Tests that help discriminate between physical and numerical (spurious) bifurcations detected in the process are discussed and illustrated through the standard example of a tubular reactor with a single irreversible exothermic reaction. © 2003 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Chemical Engineering	en
dc.identifier.doi	10.1016/S0098-1354(03)00004-8	en
dc.identifier.isi	ISI:000183017100004	en
dc.identifier.volume	27	en
dc.identifier.issue	7	en
dc.identifier.spage	951	en
dc.identifier.epage	964	en