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Main Title: Distributed Control of Linearized Navier-Stokes Equations via Discretized Input/Output Maps
Author(s): Heiland, Jan
Mehrmann, Volker
Type: Research Paper
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.
Subject(s): reduced order modelling
flow control
Issue Date: 4-Jul-2011
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93A30 Mathematical modeling
37M05 Simulation
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2011, 12
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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