Managing POD models by optimization methods

Author

Arian, Eyal ; Fahl, Marco ; Sachs, Ekkehard W.

Author_Institution

Ohio Univ., Athens, OH, USA

Volume

3

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

3300

Abstract

The proper orthogonal decomposition (POD) is a model reduction technique for the simulation of physical processes governed by partial differential equations, e.g. fluid flows. It can also be used to develop reduced order control models. The updating of the reduced order model is a delicate question, because it plays an important role in computational cost. We adapt successful methods from nonlinear optimization to give guidelines when to update the POD model. Convergence results are given both theoretically and numerically.

Keywords

convergence of numerical methods; flow control; iterative methods; optimisation; partial differential equations; reduced order systems; POD models; convergence; flow control; fluid flows; global convergence; model reduction technique; nonlinear optimization; optimization methods; partial differential equations; proper orthogonal decomposition; reduced order control models; trust region methods; Computational efficiency; Convergence of numerical methods; Fluid flow; Fluid flow control; Guidelines; Optimization methods; Partial differential equations; Reduced order systems; Robust control; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184383

Filename

1184383