DMD Analysis of Experimental PIV Data of a Swirled Jet

This paper concerns the study of high Reynolds and high swirl number flow through the use of PIV measurements and Dynamic Mode Decomposition (DMD) analysis. Principles governing DMD are briefly recalled, then the use of DMD is demonstrated by analysing the acquired PIV data in order to study the dominant dynamics of the system and extracting relevant morphology via DMD modes, focusing the attention on phenomenon known as Precessing Vortex Core (PVC)

Collocation methods and inertial manifold theory for the modal reduction of dissipative distributed systems

A collocation method is proposed to approach the reduction of dissipative distributed systems through application of the methods of Inertial Manifold theory. The collocation method proposed provides a numerical framework to develop approximate inertial manifolds (AIMs) in the case of partial differential problems (e.g. reaction/diffusion models) containing non-polynomial nonlinearities. The collocation method is also the starting point for the alternative construction of AIMs by means of a renormalization approach naturally derived from the incremental unknown method developed by Temam in a finite difference framework