Trust-region Proper Orthogonal Decomposition for Flow Control

The proper orthogonal decomposition (POD) is a model reduction technique for the simulation of physical processes governed by partial differential equations, e.g. fluid flows. It can also be used to develop reduced order control models. Fundamental is the computation of POD basis functions that represent the influence of the control action on the system in order to get a suitable control model. We present an approach where suitable reduced order models are derived successively and give global convergence results. Key words, proper orthogonal decomposition, Navier-Stokes, flow control, reduced order modeling, trust region Subject classification. Applied Numerical Mathematics