Stabilisation of reduced order models via restarting
Article first published online: 12 JUN 2013
Copyright © 2013 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 73, Issue 6, pages 578–599, 30 October 2013
How to Cite
Wales, C., Gaitonde, A. and Jones, D. (2013), Stabilisation of reduced order models via restarting. Int. J. Numer. Meth. Fluids, 73: 578–599. doi: 10.1002/fld.3814
- Issue published online: 5 SEP 2013
- Article first published online: 12 JUN 2013
- Manuscript Accepted: 29 APR 2013
- Manuscript Revised: 19 MAR 2013
- Manuscript Received: 5 APR 2012
- reduced order modelling;
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. Copyright © 2013 John Wiley & Sons, Ltd.