Reduced-order, trajectory piecewise-linear models for nonlinear computational fluid dynamics

34th AIAA Fluid Dynamics Conference and Exhibit

Volumn , Issue , 2004, Pages

  Gratton, D ^a   Willcoxy, K ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LINEARIZATION; PIECEWISE LINEAR TECHNIQUES; PRINCIPAL COMPONENT ANALYSIS;

COMPUTATIONAL FLUID DYNAMICS MODELING; FULL ORDER SYSTEM; LINEARIZED MODELS; PIECEWISE LINEAR; PROPER ORTHOGONAL DECOMPOSITIONS; REDUCED ORDER MODELS; TRAJECTORY PIECEWISE-LINEAR MODELS; TWO-DIMENSIONAL EULER EQUATIONS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 85087189516     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2004-2329     Document Type: Conference Paper

References (12)

1. G. Berkooz, P. Holmes, and J.L. Lumley. The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows. Annual Review of Fluid Mechanics, 25:539-575, 1993.
2. E.H. Dowell and K.C. Hall. Modeling of fluid-structure interaction. Annual Review of Fluid Mechanics, 33:445-90, 2001.
3. Y. Chen. Model Order Reduction for Nonlinear Sys-tems. Master's thesis, Department of Electrical Engineer-ing & Computer Science, MIT, September 1999.
4. A.A. Mohammad and J.A. De Abreu-Garcia. A trans-formation approach for model order reduction of nonlinear systems. Proceedings of the 16th Annual Conference of IEEE Industrial Electronics Society, 1:380-3, 1990.
5. th Design Automation Conference, pages 184-9, 2000.
6. Sirovich. Turbulence and the Dynamics of Coherent Structures. Part 1: Coherent Structures. Quarterly of Applied Mathematics, 45(3):561-571, October 1987.
7. M. Rewienski. A Trajectory Piecewise-Linear Ap-proach to Model Order Reduction of Nonlinear Dynamical Systems. PhD thesis, Dept. of Electrical Engineering and Computer Science, MIT, June 2003.
8. M. Rewienski and J. White. A Trajectory Piecewise-Linear Approach to Model Order Reduction and Fast Sim-ulation of Nonlinear Circuits and Micromachined Devices. Proceedings of the International Conference on Computer-Aided Design, pages 252-7, 2001.
9. Mark Drela. Two-Dimensional Transonic Aerody-namic Design and Analysis using the Euler Equations. PhD thesis, Massachusetts Institute of Technology, 1987.
10. G. Lassaux. High-Fidelity Reduced-Order Aerody-namic Models: Application to Active Control of Engine Inlets. Master's thesis, Dept. of Aeronautics and Astro-nautics, MIT, June 2002.
11. J.R. Phillips. Model Reduction of Time-Varying Linear Systems Using Approximate Multipoint Krylov-subspace Projectors. Proceedings of the IEEE/ACM In-ternational Conference on Computer-Aided Design, pages 96-102, 1998.
12. K. Willcox and A. Megretski. Fourier Series for Ac-curate, Stable, Reduced-Order Models for Linear CFD Applications. AIAA Paper 2003-4235, to appear SIAM Journal of Scientific Computing, 2004.