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2013

Lyapunov stable Galerkin models of post-transient incompressible flows

Balajewicz, Maciej

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A method for deriving provably stable low-dimensional Galerkin models of post-transient incompressible flows is introduced.

The proposed approach involves an iterative procedure for expansion modes that satisfy Lyapunov stability in the neighborhood of a fixed point.
The approach is demonstrated using two prototypical flow configurations: a two-dimensional mixing layer, and two-dimensional flow inside a lid-driven cavity.
This new methodology can be a building block in an effort to develop more accurate and more robust low-dimensional models of incompressible flows.

Lyapunov stable Galerkin models of post-transient incompressible flows · Around

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Kraichnan, R. H. & Chen, S
1989
Earlier work this paper cites.
Schmid, P. & Henningson, D
2001
Earlier work this paper cites.
Cavalieri, A., Daviller, G., Comte, P., Jordan, P., Tadmor, G. & Gervais, Y
2011
Earlier work this paper cites.
Noack, B. R., Morzynski, M. & Tadmor, G
2011
Earlier work this paper cites.
Bailon-Cuba, J., Shishkina, O., Wagner, C. & Schumacher, J
2012
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