Introductory material for ROM
The following slides were prepared for the 2008 CISM course on ROM for flow control.
They provide a good introduction to the spectrum
from standard POD Galerkin models of fluid flows
to advanced theories for turbulence control:
- Motivation for ROM (PDF)
- Standard POD Galerkin method (PDF)
- POD models for natural flows (PDF)
- Mean-field models for transient dynamics (PDF)
- Finite-time thermodynamics as unifying discipline for
stability analysis, turbulence theory and control theory
(PDF)
The following reports and monographies may serve as our introductory reading:
- B.R. NOACK (2006) "Niederdimensionale Modellierung
von laminaren und transitionellen Scherströungen",
Habilitationsschrift
(PDF)
(BibTeX)
- D.M. LUCHTENBURG, B.R. NOACK & M. SCHLEGEL (2009)
"An introduction to the POD Galerkin method for fluid flows with analytical examples and MATLAB source codes",
Technical Report 01/2009, Chair in Reduced-Order Modelling for Flow Control,
Department of Fluid Dynamics and Engineering Acoustics, Berlin Institute of Technology, Germany
(PDF)
(matlab sources)
(BibTeX)
