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,