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The Center for Control, Dynamical Systems, and Computation University of California at Santa Barbara
 

Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Fall 2008 Seminar Series
Presents
Reduced-order models for fluids, using approximate
balanced truncation and dynamically scaling modes
Clancy Rowley
Princeton University
Friday, October 10, 2008 3:00-4:00pm Webb 1100
Abstract:
This work addresses model-reduction techniques for fluids, using several variants of the
standard Proper Orthogonal Decomposition (POD) method. In the first variant, we use
POD as an approximation of balanced truncation, using adjoint simulations to quantify
the dynamical importance of different flow states. We illustrate the method on a number
of examples, including a 3D linearized channel flow, and the separating flow over an
airfoil at large angles of attack, and we show that this method significantly outperforms
standard POD, producing low-order models that have much greater accuracy for a
given number of modes. In the second variant, we present reduced-order models of
a temporally evolving shear layer, using POD modes that scale in space as the shear
layer spreads. Using this approach, very low-order models (4 complex modes) capture

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics