Accession Number:

ADA499216

Title:

An Optimization Framework Based on Domain Decomposition and Model Reduction

Descriptive Note:

Final rept. 1 Apr 2006-30 Nov 2008

Corporate Author:

RICE UNIV HOUSTON TX DEPT OF COMPUTATIONAL AND APPLIED MATHEMATICS

Report Date:

2009-02-27

Pagination or Media Count:

21.0

Abstract:

This collaborative research has developed rigorous mathematical and computational frameworks for reduced order model ROM generation and the use of ROMs in real-time, design, control, and probabilistic applications of relevance to the Air Force. This research has provided theoretical analyses and numerical studies for several newextensions of existing ROM approaches, such as goal-oriented, model-constrained approach, balanced truncation model reduction BTMR of descriptor systems, and the integration of domain decomposition and BTMR for systems with localized nonlinearities. Additionally, several important questions related to the design, analysis, efficient computation, and application of ROM were studied. The use of ROMs was demonstrated on example applications, including optimal flow control of linearized Navier-Stokes equations, linearized flow control of a supersonic diffuser, subsonic compressor blade row unsteady aerodynamics and geometric mistuning, a thermal design problem, and nonlinear combustor model dynamics.

Subject Categories:

  • Theoretical Mathematics
  • Computer Hardware
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE