Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-15690
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Main Title: The POD Dirichlet Boundary Control of the Navier-Stokes Equations: A Low-dimensional Approach to Optimal Control with High Smoothness
Author(s): Wang, Ying
Tröltzsch, Fredi
Bärwolff, Günter
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/16912
http://dx.doi.org/10.14279/depositonce-15690
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: The proper orthogonal decomposition(POD) is an approach to capture a reduced order basis functions for a dynamical system. Utilizing the order reduction property of POD basis for minimizing computational cost to unsteady fluid flow control problem, we present a POD-based framework of the unsteady Dirichlet boundary control problem for Navier-Stokes equations. An extra basis function can be therefor constructed and appended into the general POD subspace, which as a key step enables the POD approach to the Dirichlet boundary control and results in the control problem merely in time scale. In the paper the excellent quality and flexibility of the POD approach to Dirichlet boundary flow control are confirmed numerically in several flow matching control examples.
Subject(s): Dirichlet boundary control
Galerkin POD method
reduced order models
Navier-Stokes equations
Issue Date: 1-Dec-2009
Date Available: 11-May-2022
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49K20 Problems involving partial differential equations
76D55 Flow control and optimization
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2009, 23
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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