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Three Control Methods for Time-Dependent Fluid Flow

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Abstract

We summarize some of the recent developments in the field of optimal and suboptimal control strategies for time-dependent incompressible Navier–Stokes equations. Besides the Newton method,reduced order modeling (ROM) and receding horizon control strategies are described. All approaches are applied to compute controls for the unsteady flow around a cylinder in two spatial dimensions.

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  1. Fachbereich Mathematik, Technische Universität Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany

    Michael Hinze

  2. Institut für Mathematik, Karl-Franzens-Universität, Heinrichstrasse 36, A-8010, Graz, Austria

    Karl Kunisch

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  1. Michael Hinze
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Hinze, M., Kunisch, K. Three Control Methods for Time-Dependent Fluid Flow. Flow, Turbulence and Combustion 65, 273–298 (2000). https://doi.org/10.1023/A:1011417305739

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