Stabilisation of Reduced Order Models via Restarting

Research output: Contribution to journalArticle (Academic Journal)peer-review

9 Citations (Scopus)


This paper describes the development, implementation and validation of an explicit restarting scheme to stabilise reduced order models produced using the Eigensystem Realisation Algorithm. Here, the method is applied to a continuous time fluid dynamics model that is actually solved in discrete time space using a CFD approach. However, the methods described are generic and could be applied to any other similar dynamically linear system. The basic restarting approach successfully stabilises ROMs in the majority of cases. However, there are cases where this approach breaks down. The reasons for this breakdown in the basic restarting scheme are discussed, and the strategies for overcoming this problem are described. These include creating ROMs restricted to a range of time step sizes for a specific finite difference scheme and a more general approach using inexact shifts that overcome the problems associated with closely located eigenvalues.
Translated title of the contributionStabilisation of Reduced Order Models via Restarting
Original languageEnglish
Pages (from-to)578–599
Number of pages22
JournalInternational Journal for Numerical Methods in Fluids
Issue number6
Early online date12 Jun 2013
Publication statusPublished - 2013


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