Skip to main content
Article thumbnail
Location of Repository

Goal-Oriented, Model-Constrained Optimization for Reduction of Large-Scale Systems

By T. Bui-Thanh, K. Willcox, O. Ghattas and B. van Bloemen Waanders

Abstract

Optimization-oriented reduced-order models should target a particular output func-tional, span an applicable range of dynamic and parametric inputs, and respect the underlying governing equations of the system. To achieve this goal, we present an approach for determining a projection basis that uses a goal-oriented, model-constrained optimization framework. The mathematical framework permits con-sideration of general dynamical systems with general parametric variations and is applicable to both linear and nonlinear systems. Results for a simple linear model problem of the two-dimensional heat equation demonstrate the ability of the goal-oriented approach to target a particular output functional of interest. Application of the methodology to a more challenging example of a subsonic blade row governed by the unsteady Euler flow equations shows a significant advantage of the new method over the proper orthogonal decomposition

Year: 2006
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.2787
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://raphael.mit.edu/bgvw_jc... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.