direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Preprint 23-2009

The POD Dirichlet Boundary Control of the Navier-Stokes Equations: A Low-dimensional Approach to Optimal Control with High Smoothness

Source file is available as :   Portable Document Format (PDF)

Author(s) : Ying Wang , Fredi Tröltzsch , Günter Bärwolff

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 23-2009

MSC 2000

49K20 Problems involving partial differential equations
76D55 Flow control and optimization

ZDM : N40

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.

Keywords : Dirichlet boundary control, Galerkin POD method, reduced order models, Navier-Stokes equations

Zusatzinformationen / Extras


Schnellnavigation zur Seite über Nummerneingabe