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Three Control Methods for Time-Dependent Fluid Flow |
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| Authors: | Michael Hinze Karl Kunisch |
| Affiliation: | 1. Fachbereich Mathematik, Technische Universit?t Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany 2. Institut für Mathematik, Karl-Franzens-Universit?t, Heinrichstrasse 36, A-8010, Graz, Austria |
| 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. This revised version was published online in July 2006 with corrections to the Cover Date. |
| Keywords: | optimal control Navier– Stokes equations Newton method reduced order method proper orthogonal decomposition instantaneous control |
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