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

E. D. Koronaki, A. G. Boudouvis, I. G. Kevrekidis

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)951-964
Number of pages14
JournalComputers and Chemical Engineering
Issue number7
StatePublished - Jul 15 2003

All Science Journal Classification (ASJC) codes

  • General Chemical Engineering
  • Computer Science Applications


  • Recursive projection method
  • Stability analysis
  • Timesteppers
  • Tubular reactor


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