Preprint 12-2011

Distributed Control of Linearized Navier-Stokes Equations via Discretized Input/Output Maps

Author(s) : Jan Heiland , Volker Mehrmann

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 12-2011

MSC 2000

93A30 Mathematical modeling

37M05 Simulation

Abstract :
The construction of reduced order models for flow control via a direct discretization of the input/output behavior of the system is discussed. The spatially discretized equations are linearized such that an explicit formula for the corresponding input/output map can be used to generate a matrix representation of the input/output map. Estimates for the approximation error are derived and the applicability is illustrated via a numerical example for the control of a driven cavity flow.

Keywords : reduced order modelling, flow control,